id sid tid token lemma pos cana-5245 1 1 communications communication NOUN cana-5245 1 2 on on ADP cana-5245 1 3 applied apply VERB cana-5245 1 4 nonlinear nonlinear ADJ cana-5245 1 5 analysis analysis NOUN cana-5245 1 6 issn issn NOUN cana-5245 1 7 : : PUNCT cana-5245 1 8 1074 1074 NUM cana-5245 1 9 - - PUNCT cana-5245 1 10 133x 133x NUM cana-5245 1 11 vol vol VERB cana-5245 1 12 32 32 NUM cana-5245 1 13 no no NOUN cana-5245 1 14 . . PUNCT cana-5245 2 1 10s 10 NOUN cana-5245 2 2 ( ( PUNCT cana-5245 2 3 2025 2025 NUM cana-5245 2 4 ) ) PUNCT cana-5245 2 5 1450 1450 NUM cana-5245 2 6 https://internationalpubls.com https://internationalpubls.com X cana-5245 2 7 a a DET cana-5245 2 8 new new ADJ cana-5245 2 9 efficient efficient ADJ cana-5245 2 10 difference difference NOUN cana-5245 2 11 - - PUNCT cana-5245 2 12 type type NOUN cana-5245 2 13 estimator estimator NOUN cana-5245 2 14 for for ADP cana-5245 2 15 estimating estimate VERB cana-5245 2 16 population population NOUN cana-5245 2 17 mean mean VERB cana-5245 2 18 using use VERB cana-5245 2 19 dual dual ADJ cana-5245 2 20 auxiliary auxiliary ADJ cana-5245 2 21 information information NOUN cana-5245 2 22 under under ADP cana-5245 2 23 non non ADJ cana-5245 2 24 - - ADJ cana-5245 2 25 response response ADJ cana-5245 2 26 udita udita PROPN cana-5245 2 27 gupta gupta PROPN cana-5245 2 28 , , PUNCT cana-5245 2 29 prof prof PROPN cana-5245 2 30 . . PUNCT cana-5245 3 1 manoj manoj PROPN cana-5245 3 2 kumar kumar PROPN cana-5245 3 3 srivastava srivastava PROPN cana-5245 3 4 , , PUNCT cana-5245 3 5 prof prof PROPN cana-5245 3 6 . . PROPN cana-5245 4 1 namita namita PROPN cana-5245 4 2 srivastava srivastava PROPN cana-5245 4 3 , , PUNCT cana-5245 4 4 anjali anjali PROPN cana-5245 4 5 bhardwaj bhardwaj PROPN cana-5245 4 6 research research PROPN cana-5245 4 7 scholar scholar NOUN cana-5245 4 8 , , PUNCT cana-5245 4 9 department department NOUN cana-5245 4 10 of of ADP cana-5245 4 11 statistics statistic NOUN cana-5245 4 12 , , PUNCT cana-5245 4 13 i.s.s i.s.s PROPN cana-5245 4 14 . . PROPN cana-5245 4 15 , , PUNCT cana-5245 4 16 dr dr PROPN cana-5245 4 17 . . PROPN cana-5245 4 18 bhimrao bhimrao PROPN cana-5245 4 19 ambedkar ambedkar PROPN cana-5245 4 20 university university PROPN cana-5245 4 21 , , PUNCT cana-5245 4 22 agra agra PROPN cana-5245 4 23 . . PUNCT cana-5245 5 1 mail mail NOUN cana-5245 6 1 i i PROPN cana-5245 6 2 d d PROPN cana-5245 6 3 : : PUNCT cana-5245 6 4 drudita0108@gmail.com drudita0108@gmail.com X cana-5245 7 1 vice vice NOUN cana-5245 7 2 - - NOUN cana-5245 7 3 chancellor chancellor NOUN cana-5245 7 4 , , PUNCT cana-5245 7 5 shahid shahid PROPN cana-5245 7 6 mahendra mahendra PROPN cana-5245 7 7 karma karma PROPN cana-5245 7 8 vishwavidalaya vishwavidalaya PROPN cana-5245 7 9 , , PUNCT cana-5245 7 10 bastar bastar NOUN cana-5245 7 11 , , PUNCT cana-5245 7 12 mail mail NOUN cana-5245 8 1 i i NOUN cana-5245 8 2 d d PROPN cana-5245 8 3 : : PUNCT cana-5245 8 4 mksiss87@gmail.com mksiss87@gmail.com PROPN cana-5245 8 5 professor professor NOUN cana-5245 8 6 and and CCONJ cana-5245 8 7 head head NOUN cana-5245 8 8 of of ADP cana-5245 8 9 department department NOUN cana-5245 8 10 of of ADP cana-5245 8 11 statistics statistics PROPN cana-5245 8 12 , , PUNCT cana-5245 8 13 st st PROPN cana-5245 8 14 . . PROPN cana-5245 8 15 john john PROPN cana-5245 8 16 ’s ’s PROPN cana-5245 8 17 college college PROPN cana-5245 8 18 , , PUNCT cana-5245 8 19 agra agra PROPN cana-5245 8 20 , , PUNCT cana-5245 8 21 mail mail NOUN cana-5245 8 22 i i NOUN cana-5245 8 23 d d PROPN cana-5245 8 24 : : PUNCT cana-5245 8 25 drnamita.sjc@gmail.com drnamita.sjc@gmail.com PROPN cana-5245 8 26 research research NOUN cana-5245 8 27 scholar scholar NOUN cana-5245 8 28 , , PUNCT cana-5245 8 29 department department NOUN cana-5245 8 30 of of ADP cana-5245 8 31 statistics statistic NOUN cana-5245 8 32 , , PUNCT cana-5245 8 33 i.s.s i.s.s PROPN cana-5245 8 34 . . PROPN cana-5245 8 35 , , PUNCT cana-5245 8 36 dr dr PROPN cana-5245 8 37 . . PROPN cana-5245 8 38 bhimrao bhimrao PROPN cana-5245 8 39 ambedkar ambedkar PROPN cana-5245 8 40 university university PROPN cana-5245 8 41 , , PUNCT cana-5245 8 42 agra agra PROPN cana-5245 8 43 , , PUNCT cana-5245 8 44 mail mail NOUN cana-5245 9 1 i i NOUN cana-5245 9 2 d d PROPN cana-5245 9 3 : : PUNCT cana-5245 9 4 anjalibharadwaj32@gmail.com anjalibharadwaj32@gmail.com X cana-5245 9 5 department department PROPN cana-5245 9 6 of of ADP cana-5245 9 7 statistics statistic NOUN cana-5245 9 8 , , PUNCT cana-5245 9 9 dr dr PROPN cana-5245 9 10 . . PROPN cana-5245 9 11 bhimrao bhimrao PROPN cana-5245 9 12 ambedkar ambedkar PROPN cana-5245 9 13 university university PROPN cana-5245 9 14 , , PUNCT cana-5245 9 15 agra agra PROPN cana-5245 9 16 article article PROPN cana-5245 9 17 history history NOUN cana-5245 9 18 : : PUNCT cana-5245 9 19 received receive VERB cana-5245 9 20 : : PUNCT cana-5245 9 21 12 12 NUM cana-5245 9 22 - - SYM cana-5245 9 23 01 01 NUM cana-5245 9 24 - - PUNCT cana-5245 9 25 2025 2025 NUM cana-5245 9 26 revised revise VERB cana-5245 9 27 : : PUNCT cana-5245 9 28 15 15 NUM cana-5245 9 29 - - NUM cana-5245 9 30 02 02 NUM cana-5245 9 31 - - PUNCT cana-5245 9 32 2025 2025 NUM cana-5245 9 33 accepted accept VERB cana-5245 9 34 : : PUNCT cana-5245 9 35 01 01 NUM cana-5245 9 36 - - SYM cana-5245 9 37 03 03 NUM cana-5245 9 38 - - PUNCT cana-5245 9 39 2025 2025 NUM cana-5245 9 40 abstract abstract NOUN cana-5245 9 41 : : PUNCT cana-5245 9 42 in in ADP cana-5245 9 43 this this DET cana-5245 9 44 paper paper NOUN cana-5245 9 45 , , PUNCT cana-5245 9 46 the the DET cana-5245 9 47 problem problem NOUN cana-5245 9 48 of of ADP cana-5245 9 49 estimating estimate VERB cana-5245 9 50 the the DET cana-5245 9 51 finite finite ADJ cana-5245 9 52 population population NOUN cana-5245 9 53 mean mean VERB cana-5245 9 54 by by ADP cana-5245 9 55 using use VERB cana-5245 9 56 dual dual ADJ cana-5245 9 57 auxiliary auxiliary ADJ cana-5245 9 58 information information NOUN cana-5245 9 59 under under ADP cana-5245 9 60 non non ADJ cana-5245 9 61 - - NOUN cana-5245 9 62 response response NOUN cana-5245 9 63 . . PUNCT cana-5245 10 1 this this DET cana-5245 10 2 paper paper NOUN cana-5245 10 3 proposed propose VERB cana-5245 10 4 a a DET cana-5245 10 5 difference difference NOUN cana-5245 10 6 - - PUNCT cana-5245 10 7 type type NOUN cana-5245 10 8 estimator estimator NOUN cana-5245 10 9 of of ADP cana-5245 10 10 population population NOUN cana-5245 10 11 mean mean VERB cana-5245 10 12 under under ADP cana-5245 10 13 different different ADJ cana-5245 10 14 cases case NOUN cana-5245 10 15 . . PUNCT cana-5245 11 1 the the DET cana-5245 11 2 expressions expression NOUN cana-5245 11 3 of of ADP cana-5245 11 4 the the DET cana-5245 11 5 bias bias NOUN cana-5245 11 6 and and CCONJ cana-5245 11 7 mean mean VERB cana-5245 11 8 square square ADJ cana-5245 11 9 error error NOUN cana-5245 11 10 ( ( PUNCT cana-5245 11 11 mse mse NOUN cana-5245 11 12 ) ) PUNCT cana-5245 11 13 of of ADP cana-5245 11 14 the the DET cana-5245 11 15 proposed propose VERB cana-5245 11 16 estimator estimator NOUN cana-5245 11 17 have have AUX cana-5245 11 18 been be AUX cana-5245 11 19 obtained obtain VERB cana-5245 11 20 up up ADP cana-5245 11 21 to to ADP cana-5245 11 22 the the DET cana-5245 11 23 first first ADJ cana-5245 11 24 - - PUNCT cana-5245 11 25 degree degree NOUN cana-5245 11 26 approximation approximation NOUN cana-5245 11 27 . . PUNCT cana-5245 12 1 the the DET cana-5245 12 2 proposed propose VERB cana-5245 12 3 estimator estimator NOUN cana-5245 12 4 has have AUX cana-5245 12 5 been be AUX cana-5245 12 6 compared compare VERB cana-5245 12 7 with with ADP cana-5245 12 8 usual usual ADJ cana-5245 12 9 unbiased unbiased ADJ cana-5245 12 10 estimator estimator NOUN cana-5245 12 11 , , PUNCT cana-5245 12 12 ratio ratio NOUN cana-5245 12 13 estimator estimator NOUN cana-5245 12 14 , , PUNCT cana-5245 12 15 product product NOUN cana-5245 12 16 estimator estimator NOUN cana-5245 12 17 , , PUNCT cana-5245 12 18 difference difference NOUN cana-5245 12 19 - - PUNCT cana-5245 12 20 cum cum NOUN cana-5245 12 21 - - PUNCT cana-5245 12 22 ratio ratio NOUN cana-5245 12 23 estimator estimator NOUN cana-5245 12 24 , , PUNCT cana-5245 12 25 difference difference NOUN cana-5245 12 26 - - PUNCT cana-5245 12 27 cum cum NOUN cana-5245 12 28 - - PUNCT cana-5245 12 29 product product NOUN cana-5245 12 30 estimator estimator NOUN cana-5245 12 31 and and CCONJ cana-5245 12 32 other other ADJ cana-5245 12 33 existing exist VERB cana-5245 12 34 estimator estimator NOUN cana-5245 12 35 and and CCONJ cana-5245 12 36 the the DET cana-5245 12 37 cases case NOUN cana-5245 12 38 obtained obtain VERB cana-5245 12 39 to to PART cana-5245 12 40 show show VERB cana-5245 12 41 the the DET cana-5245 12 42 efficiency efficiency NOUN cana-5245 12 43 of of ADP cana-5245 12 44 the the DET cana-5245 12 45 proposed propose VERB cana-5245 12 46 estimator estimator NOUN cana-5245 12 47 over over ADP cana-5245 12 48 other other ADJ cana-5245 12 49 considered consider VERB cana-5245 12 50 estimators estimator NOUN cana-5245 12 51 . . PUNCT cana-5245 13 1 numerical numerical ADJ cana-5245 13 2 illustration illustration NOUN cana-5245 13 3 is be AUX cana-5245 13 4 carried carry VERB cana-5245 13 5 out out ADP cana-5245 13 6 to to PART cana-5245 13 7 support support VERB cana-5245 13 8 the the DET cana-5245 13 9 theoretical theoretical ADJ cana-5245 13 10 findings finding NOUN cana-5245 13 11 . . PUNCT cana-5245 14 1 keywords keyword NOUN cana-5245 14 2 : : PUNCT cana-5245 14 3 study study NOUN cana-5245 14 4 variable variable NOUN cana-5245 14 5 , , PUNCT cana-5245 14 6 auxiliary auxiliary ADJ cana-5245 14 7 variable variable NOUN cana-5245 14 8 , , PUNCT cana-5245 14 9 bias bias NOUN cana-5245 14 10 , , PUNCT cana-5245 14 11 mse mse PROPN cana-5245 14 12 , , PUNCT cana-5245 14 13 ranked rank VERB cana-5245 14 14 auxiliary auxiliary ADJ cana-5245 14 15 variable variable NOUN cana-5245 14 16 , , PUNCT cana-5245 14 17 non non ADJ cana-5245 14 18 - - NOUN cana-5245 14 19 response response NOUN cana-5245 14 20 . . PUNCT cana-5245 15 1 1 1 X cana-5245 15 2 . . X cana-5245 15 3 introduction introduction NOUN cana-5245 15 4 one one NUM cana-5245 15 5 of of ADP cana-5245 15 6 the the DET cana-5245 15 7 sample sample NOUN cana-5245 15 8 survey survey NOUN cana-5245 15 9 objectives objective NOUN cana-5245 15 10 is be AUX cana-5245 15 11 to to PART cana-5245 15 12 estimate estimate VERB cana-5245 15 13 the the DET cana-5245 15 14 unknown unknown ADJ cana-5245 15 15 population population NOUN cana-5245 15 16 parameters parameter NOUN cana-5245 15 17 of of ADP cana-5245 15 18 the the DET cana-5245 15 19 study study NOUN cana-5245 15 20 variable variable NOUN cana-5245 15 21 such such ADJ cana-5245 15 22 as as ADP cana-5245 15 23 population population NOUN cana-5245 15 24 total total NOUN cana-5245 15 25 , , PUNCT cana-5245 15 26 mean mean VERB cana-5245 15 27 , , PUNCT cana-5245 15 28 proportion proportion NOUN cana-5245 15 29 , , PUNCT cana-5245 15 30 ratio ratio NOUN cana-5245 15 31 and and CCONJ cana-5245 15 32 variances variance NOUN cana-5245 15 33 etc etc X cana-5245 15 34 . . X cana-5245 16 1 a a DET cana-5245 16 2 procedure procedure NOUN cana-5245 16 3 is be AUX cana-5245 16 4 desirable desirable ADJ cana-5245 16 5 that that PRON cana-5245 16 6 provides provide VERB cana-5245 16 7 a a DET cana-5245 16 8 precise precise ADJ cana-5245 16 9 estimator estimator NOUN cana-5245 16 10 of of ADP cana-5245 16 11 the the DET cana-5245 16 12 parameter parameter NOUN cana-5245 16 13 of of ADP cana-5245 16 14 interest interest NOUN cana-5245 16 15 by by ADP cana-5245 16 16 surveying survey VERB cana-5245 16 17 a a DET cana-5245 16 18 suitably suitably ADV cana-5245 16 19 chosen choose VERB cana-5245 16 20 sample sample NOUN cana-5245 16 21 of of ADP cana-5245 16 22 individuals individual NOUN cana-5245 16 23 . . PUNCT cana-5245 17 1 supplementary/ supplementary/ NUM cana-5245 17 2 additional additional ADJ cana-5245 17 3 information information NOUN cana-5245 17 4 provided provide VERB cana-5245 17 5 by by ADP cana-5245 17 6 an an DET cana-5245 17 7 auxiliary auxiliary ADJ cana-5245 17 8 variable variable NOUN cana-5245 17 9 which which PRON cana-5245 17 10 is be AUX cana-5245 17 11 correlated correlate VERB cana-5245 17 12 with with ADP cana-5245 17 13 the the DET cana-5245 17 14 study study NOUN cana-5245 17 15 variable variable NOUN cana-5245 17 16 enhances enhance VERB cana-5245 17 17 the the DET cana-5245 17 18 precision precision NOUN cana-5245 17 19 of of ADP cana-5245 17 20 the the DET cana-5245 17 21 estimators estimator NOUN cana-5245 17 22 . . PUNCT cana-5245 18 1 survey survey NOUN cana-5245 18 2 statisticians statistician NOUN cana-5245 18 3 take take VERB cana-5245 18 4 advantage advantage NOUN cana-5245 18 5 of of ADP cana-5245 18 6 this this DET cana-5245 18 7 information information NOUN cana-5245 18 8 whenever whenever SCONJ cana-5245 18 9 it it PRON cana-5245 18 10 is be AUX cana-5245 18 11 available available ADJ cana-5245 18 12 to to PART cana-5245 18 13 explore explore VERB cana-5245 18 14 the the DET cana-5245 18 15 efficient efficient ADJ cana-5245 18 16 estimators estimator NOUN cana-5245 18 17 . . PUNCT cana-5245 19 1 ratio ratio NOUN cana-5245 19 2 , , PUNCT cana-5245 19 3 product product NOUN cana-5245 19 4 , , PUNCT cana-5245 19 5 regression regression NOUN cana-5245 19 6 and and CCONJ cana-5245 19 7 their their PRON cana-5245 19 8 modified modify VERB cana-5245 19 9 estimators estimator NOUN cana-5245 19 10 are be AUX cana-5245 19 11 best good ADJ cana-5245 19 12 examples example NOUN cana-5245 19 13 in in ADP cana-5245 19 14 this this DET cana-5245 19 15 regard regard NOUN cana-5245 19 16 . . PUNCT cana-5245 20 1 mailto:drudita0108@gmail.com mailto:drudita0108@gmail.com X cana-5245 20 2 mailto:mksiss87@gmail.com mailto:mksiss87@gmail.com PROPN cana-5245 20 3 mailto:drnamita.sjc@gmail.com mailto:drnamita.sjc@gmail.com X cana-5245 20 4 communications communication NOUN cana-5245 20 5 on on ADP cana-5245 20 6 applied apply VERB cana-5245 20 7 nonlinear nonlinear ADJ cana-5245 20 8 analysis analysis NOUN cana-5245 20 9 issn issn NOUN cana-5245 20 10 : : PUNCT cana-5245 20 11 1074 1074 NUM cana-5245 20 12 - - PUNCT cana-5245 20 13 133x 133x NUM cana-5245 20 14 vol vol VERB cana-5245 20 15 32 32 NUM cana-5245 20 16 no no NOUN cana-5245 20 17 . . PUNCT cana-5245 21 1 10s 10 NOUN cana-5245 21 2 ( ( PUNCT cana-5245 21 3 2025 2025 NUM cana-5245 21 4 ) ) PUNCT cana-5245 21 5 1451 1451 NUM cana-5245 21 6 https://internationalpubls.com https://internationalpubls.com X cana-5245 22 1 in in ADP cana-5245 22 2 practice practice NOUN cana-5245 22 3 almost almost ADV cana-5245 22 4 all all PRON cana-5245 22 5 surveys survey NOUN cana-5245 22 6 suffer suffer VERB cana-5245 22 7 from from ADP cana-5245 22 8 non non ADJ cana-5245 22 9 - - NOUN cana-5245 22 10 response response NOUN cana-5245 22 11 . . PUNCT cana-5245 23 1 problems problem NOUN cana-5245 23 2 with with ADP cana-5245 23 3 no no DET cana-5245 23 4 response response NOUN cana-5245 23 5 are be AUX cana-5245 23 6 often often ADV cana-5245 23 7 caused cause VERB cana-5245 23 8 by by ADP cana-5245 23 9 rejection rejection NOUN cana-5245 23 10 of of ADP cana-5245 23 11 topics topic NOUN cana-5245 23 12 , , PUNCT cana-5245 23 13 absences absence NOUN cana-5245 23 14 and and CCONJ cana-5245 23 15 sometimes sometimes ADV cana-5245 23 16 due due ADP cana-5245 23 17 to to ADP cana-5245 23 18 the the DET cana-5245 23 19 lack lack NOUN cana-5245 23 20 of of ADP cana-5245 23 21 information information NOUN cana-5245 23 22 . . PUNCT cana-5245 24 1 the the DET cana-5245 24 2 pioneering pioneering ADJ cana-5245 24 3 work work NOUN cana-5245 24 4 of of ADP cana-5245 24 5 hansen hansen PROPN cana-5245 24 6 and and CCONJ cana-5245 24 7 hurwitz hurwitz PROPN cana-5245 24 8 ( ( PUNCT cana-5245 24 9 1946 1946 NUM cana-5245 24 10 ) ) PUNCT cana-5245 24 11 , , PUNCT cana-5245 24 12 states state VERB cana-5245 24 13 that that SCONJ cana-5245 24 14 β€œ " PUNCT cana-5245 24 15 a a DET cana-5245 24 16 sub sub NOUN cana-5245 24 17 - - NOUN cana-5245 24 18 sample sample NOUN cana-5245 24 19 of of ADP cana-5245 24 20 initially initially ADV cana-5245 24 21 non non ADJ cana-5245 24 22 - - ADJ cana-5245 24 23 responsive responsive ADJ cana-5245 24 24 individuals individual NOUN cana-5245 24 25 is be AUX cana-5245 24 26 recontacted recontacte VERB cana-5245 24 27 using use VERB cana-5245 24 28 a a DET cana-5245 24 29 more more ADV cana-5245 24 30 expensive expensive ADJ cana-5245 24 31 method method NOUN cana-5245 24 32 , , PUNCT cana-5245 24 33 suggesting suggest VERB cana-5245 24 34 the the DET cana-5245 24 35 first first ADJ cana-5245 24 36 attempt attempt NOUN cana-5245 24 37 by by ADP cana-5245 24 38 mail mail NOUN cana-5245 24 39 - - PUNCT cana-5245 24 40 based base VERB cana-5245 24 41 questionnaire questionnaire NOUN cana-5245 24 42 and and CCONJ cana-5245 24 43 the the DET cana-5245 24 44 second second ADJ cana-5245 24 45 attempt attempt NOUN cana-5245 24 46 by by ADP cana-5245 24 47 a a DET cana-5245 24 48 face face NOUN cana-5245 24 49 - - PUNCT cana-5245 24 50 to to ADP cana-5245 24 51 - - PUNCT cana-5245 24 52 face face NOUN cana-5245 24 53 interview interview NOUN cana-5245 24 54 ” " PUNCT cana-5245 24 55 . . PUNCT cana-5245 25 1 when when SCONJ cana-5245 25 2 estimating estimate VERB cana-5245 25 3 population population NOUN cana-5245 25 4 parameters parameter NOUN cana-5245 25 5 such such ADJ cana-5245 25 6 as as ADP cana-5245 25 7 the the DET cana-5245 25 8 mean mean ADJ cana-5245 25 9 , , PUNCT cana-5245 25 10 total total ADJ cana-5245 25 11 or or CCONJ cana-5245 25 12 ratio ratio NOUN cana-5245 25 13 , , PUNCT cana-5245 25 14 sampling sample VERB cana-5245 25 15 experts expert NOUN cana-5245 25 16 sometimes sometimes ADV cana-5245 25 17 use use VERB cana-5245 25 18 auxiliary auxiliary ADJ cana-5245 25 19 information information NOUN cana-5245 25 20 to to PART cana-5245 25 21 improve improve VERB cana-5245 25 22 efficiency efficiency NOUN cana-5245 25 23 of of ADP cana-5245 25 24 the the DET cana-5245 25 25 estimates estimate NOUN cana-5245 25 26 . . PUNCT cana-5245 26 1 it it PRON cana-5245 26 2 is be AUX cana-5245 26 3 known know VERB cana-5245 26 4 that that SCONJ cana-5245 26 5 the the DET cana-5245 26 6 efficiency efficiency NOUN cana-5245 26 7 of of ADP cana-5245 26 8 an an DET cana-5245 26 9 estimator estimator NOUN cana-5245 26 10 of of ADP cana-5245 26 11 the the DET cana-5245 26 12 population population NOUN cana-5245 26 13 mean mean NOUN cana-5245 26 14 of of ADP cana-5245 26 15 the the DET cana-5245 26 16 study study NOUN cana-5245 26 17 variable variable NOUN cana-5245 26 18 y y PROPN cana-5245 26 19 can can AUX cana-5245 26 20 be be AUX cana-5245 26 21 increased increase VERB cana-5245 26 22 by by ADP cana-5245 26 23 using use VERB cana-5245 26 24 auxiliary auxiliary ADJ cana-5245 26 25 information information NOUN cana-5245 26 26 which which PRON cana-5245 26 27 is be AUX cana-5245 26 28 highly highly ADV cana-5245 26 29 correlated correlate VERB cana-5245 26 30 with with ADP cana-5245 26 31 the the DET cana-5245 26 32 study study NOUN cana-5245 26 33 variable variable ADJ cana-5245 26 34 y. y. PROPN cana-5245 26 35 rao rao PROPN cana-5245 26 36 ( ( PUNCT cana-5245 26 37 1986 1986 NUM cana-5245 26 38 ) ) PUNCT cana-5245 26 39 , , PUNCT cana-5245 26 40 khare khare PROPN cana-5245 26 41 and and CCONJ cana-5245 26 42 srivastava srivastava PROPN cana-5245 26 43 ( ( PUNCT cana-5245 26 44 1995 1995 NUM cana-5245 26 45 , , PUNCT cana-5245 26 46 1997 1997 NUM cana-5245 26 47 ) ) PUNCT cana-5245 26 48 , , PUNCT cana-5245 26 49 okafor okafor PROPN cana-5245 26 50 and and CCONJ cana-5245 26 51 lee lee PROPN cana-5245 26 52 ( ( PUNCT cana-5245 26 53 2000 2000 NUM cana-5245 26 54 ) ) PUNCT cana-5245 26 55 and and CCONJ cana-5245 26 56 singh singh PROPN cana-5245 26 57 and and CCONJ cana-5245 26 58 kumar kumar PROPN cana-5245 26 59 ( ( PUNCT cana-5245 26 60 2008 2008 NUM cana-5245 26 61 , , PUNCT cana-5245 26 62 2009 2009 NUM cana-5245 26 63 , , PUNCT cana-5245 26 64 2010 2010 NUM cana-5245 26 65 ) ) PUNCT cana-5245 26 66 have have AUX cana-5245 26 67 proposed propose VERB cana-5245 26 68 some some DET cana-5245 26 69 estimator estimator NOUN cana-5245 26 70 for for ADP cana-5245 26 71 population population NOUN cana-5245 26 72 mean mean NOUN cana-5245 26 73 of of ADP cana-5245 26 74 the the DET cana-5245 26 75 study study NOUN cana-5245 26 76 variable variable NOUN cana-5245 26 77 y y PROPN cana-5245 26 78 using use VERB cana-5245 26 79 auxiliary auxiliary ADJ cana-5245 26 80 information information NOUN cana-5245 26 81 in in ADP cana-5245 26 82 presence presence NOUN cana-5245 26 83 of of ADP cana-5245 26 84 non non NOUN cana-5245 26 85 - - NOUN cana-5245 26 86 response response NOUN cana-5245 26 87 . . PUNCT cana-5245 27 1 recently recently ADV cana-5245 27 2 , , PUNCT cana-5245 27 3 haq haq PROPN cana-5245 27 4 et et PROPN cana-5245 27 5 al al PROPN cana-5245 27 6 . . PROPN cana-5245 27 7 used use VERB cana-5245 27 8 an an DET cana-5245 27 9 additional additional ADJ cana-5245 27 10 information information NOUN cana-5245 27 11 of of ADP cana-5245 27 12 the the DET cana-5245 27 13 auxiliary auxiliary ADJ cana-5245 27 14 variable variable NOUN cana-5245 27 15 called call VERB cana-5245 27 16 ranked rank VERB cana-5245 27 17 auxiliary auxiliary ADJ cana-5245 27 18 variable variable NOUN cana-5245 27 19 to to PART cana-5245 27 20 develop develop VERB cana-5245 27 21 efficient efficient ADJ cana-5245 27 22 estimators estimator NOUN cana-5245 27 23 for for ADP cana-5245 27 24 the the DET cana-5245 27 25 estimation estimation NOUN cana-5245 27 26 of of ADP cana-5245 27 27 mean mean ADJ cana-5245 27 28 . . PUNCT cana-5245 28 1 these these DET cana-5245 28 2 estimators estimator NOUN cana-5245 28 3 are be AUX cana-5245 28 4 developed develop VERB cana-5245 28 5 only only ADV cana-5245 28 6 to to PART cana-5245 28 7 cope cope VERB cana-5245 28 8 with with ADP cana-5245 28 9 the the DET cana-5245 28 10 simple simple ADJ cana-5245 28 11 random random ADJ cana-5245 28 12 sampling sampling NOUN cana-5245 28 13 scheme scheme NOUN cana-5245 28 14 . . PUNCT cana-5245 29 1 here here ADV cana-5245 29 2 , , PUNCT cana-5245 29 3 a a DET cana-5245 29 4 new new ADJ cana-5245 29 5 challenge challenge NOUN cana-5245 29 6 / / SYM cana-5245 29 7 idea idea NOUN cana-5245 29 8 arises arise VERB cana-5245 29 9 to to PART cana-5245 29 10 search search VERB cana-5245 29 11 for for ADP cana-5245 29 12 a a DET cana-5245 29 13 more more ADV cana-5245 29 14 optimal optimal ADJ cana-5245 29 15 estimator estimator NOUN cana-5245 29 16 using use VERB cana-5245 29 17 dual dual ADJ cana-5245 29 18 auxiliary auxiliary ADJ cana-5245 29 19 information information NOUN cana-5245 29 20 to to PART cana-5245 29 21 deal deal VERB cana-5245 29 22 with with ADP cana-5245 29 23 non non ADJ cana-5245 29 24 - - ADJ cana-5245 29 25 response response ADJ cana-5245 29 26 scheme scheme NOUN cana-5245 29 27 . . PUNCT cana-5245 30 1 this this DET cana-5245 30 2 challenge challenge NOUN cana-5245 30 3 is be AUX cana-5245 30 4 successfully successfully ADV cana-5245 30 5 accomplished accomplish VERB cana-5245 30 6 and and CCONJ cana-5245 30 7 new new ADJ cana-5245 30 8 optimal optimal ADJ cana-5245 30 9 estimators estimator NOUN cana-5245 30 10 for for ADP cana-5245 30 11 finite finite ADJ cana-5245 30 12 population population NOUN cana-5245 30 13 mean mean VERB cana-5245 30 14 are be AUX cana-5245 30 15 developed develop VERB cana-5245 30 16 under under ADP cana-5245 30 17 non non ADJ cana-5245 30 18 - - ADJ cana-5245 30 19 response response ADJ cana-5245 30 20 scheme scheme NOUN cana-5245 30 21 in in ADP cana-5245 30 22 this this DET cana-5245 30 23 paper paper NOUN cana-5245 30 24 . . PUNCT cana-5245 31 1 the the DET cana-5245 31 2 remaining remain VERB cana-5245 31 3 part part NOUN cana-5245 31 4 of of ADP cana-5245 31 5 the the DET cana-5245 31 6 paper paper NOUN cana-5245 31 7 is be AUX cana-5245 31 8 organized organize VERB cana-5245 31 9 as as SCONJ cana-5245 31 10 follows follow VERB cana-5245 31 11 : : PUNCT cana-5245 31 12 in in ADP cana-5245 31 13 section section NOUN cana-5245 31 14 2 2 NUM cana-5245 31 15 , , PUNCT cana-5245 31 16 notations notation NOUN cana-5245 31 17 under under ADP cana-5245 31 18 non non ADJ cana-5245 31 19 - - NOUN cana-5245 31 20 response response NOUN cana-5245 31 21 are be AUX cana-5245 31 22 introduced introduce VERB cana-5245 31 23 . . PUNCT cana-5245 32 1 in in ADP cana-5245 32 2 section section NOUN cana-5245 32 3 3 3 NUM cana-5245 32 4 , , PUNCT cana-5245 32 5 existing exist VERB cana-5245 32 6 estimator estimator NOUN cana-5245 32 7 under under ADP cana-5245 32 8 non non NOUN cana-5245 32 9 - - NOUN cana-5245 32 10 response response NOUN cana-5245 32 11 . . PUNCT cana-5245 33 1 in in ADP cana-5245 33 2 section section NOUN cana-5245 33 3 4 4 NUM cana-5245 33 4 , , PUNCT cana-5245 33 5 proposed propose VERB cana-5245 33 6 estimator estimator NOUN cana-5245 33 7 for for ADP cana-5245 33 8 estimating estimate VERB cana-5245 33 9 finite finite ADJ cana-5245 33 10 population population NOUN cana-5245 33 11 mean mean VERB cana-5245 33 12 using use VERB cana-5245 33 13 the the DET cana-5245 33 14 original original ADJ cana-5245 33 15 and and CCONJ cana-5245 33 16 ranked rank VERB cana-5245 33 17 auxiliary auxiliary ADJ cana-5245 33 18 information information NOUN cana-5245 33 19 are be AUX cana-5245 33 20 defined define VERB cana-5245 33 21 . . PUNCT cana-5245 34 1 in in ADP cana-5245 34 2 section section NOUN cana-5245 34 3 5 5 NUM cana-5245 34 4 , , PUNCT cana-5245 34 5 theoretical theoretical ADJ cana-5245 34 6 comparison comparison NOUN cana-5245 34 7 is be AUX cana-5245 34 8 done do VERB cana-5245 34 9 between between ADP cana-5245 34 10 existing exist VERB cana-5245 34 11 and and CCONJ cana-5245 34 12 proposed proposed ADJ cana-5245 34 13 estimator estimator NOUN cana-5245 34 14 . . PUNCT cana-5245 35 1 an an DET cana-5245 35 2 empirical empirical ADJ cana-5245 35 3 study study NOUN cana-5245 35 4 is be AUX cana-5245 35 5 carried carry VERB cana-5245 35 6 out out ADP cana-5245 35 7 to to PART cana-5245 35 8 evaluate evaluate VERB cana-5245 35 9 the the DET cana-5245 35 10 performance performance NOUN cana-5245 35 11 of of ADP cana-5245 35 12 the the DET cana-5245 35 13 proposed propose VERB cana-5245 35 14 estimators estimator NOUN cana-5245 35 15 which which PRON cana-5245 35 16 validate validate VERB cana-5245 35 17 the the DET cana-5245 35 18 theoretical theoretical ADJ cana-5245 35 19 results result NOUN cana-5245 35 20 in in ADP cana-5245 35 21 section section NOUN cana-5245 35 22 6 6 NUM cana-5245 35 23 . . PUNCT cana-5245 36 1 conclusions conclusion NOUN cana-5245 36 2 are be AUX cana-5245 36 3 enclosed enclose VERB cana-5245 36 4 in in ADP cana-5245 36 5 the the DET cana-5245 36 6 last last ADJ cana-5245 36 7 section section NOUN cana-5245 36 8 . . PUNCT cana-5245 37 1 2 2 X cana-5245 37 2 . . X cana-5245 37 3 notation notation NOUN cana-5245 37 4 for for ADP cana-5245 37 5 a a DET cana-5245 37 6 finite finite ADJ cana-5245 37 7 population population NOUN cana-5245 37 8 π‘ˆ π‘ˆ PROPN cana-5245 37 9 = = PUNCT cana-5245 37 10 ( ( PUNCT cana-5245 37 11 π‘ˆ1 π‘ˆ1 PROPN cana-5245 37 12 , , PUNCT cana-5245 37 13 π‘ˆ2 π‘ˆ2 PROPN cana-5245 37 14 , , PUNCT cana-5245 37 15 π‘ˆ3 π‘ˆ3 ADJ cana-5245 37 16 … … PUNCT cana-5245 37 17 π‘ˆπ‘ π‘ˆπ‘ PROPN cana-5245 37 18 ) ) PUNCT cana-5245 37 19 of of ADP cana-5245 37 20 size size NOUN cana-5245 37 21 n n PROPN cana-5245 37 22 and and CCONJ cana-5245 37 23 a a DET cana-5245 37 24 random random ADJ cana-5245 37 25 sample sample NOUN cana-5245 37 26 of of ADP cana-5245 37 27 size size NOUN cana-5245 37 28 𝑛 𝑛 PROPN cana-5245 37 29 is be AUX cana-5245 37 30 drawn draw VERB cana-5245 37 31 without without ADP cana-5245 37 32 replacement replacement NOUN cana-5245 37 33 . . PUNCT cana-5245 38 1 let let VERB cana-5245 38 2 the the DET cana-5245 38 3 characteristics characteristic NOUN cana-5245 38 4 under under ADP cana-5245 38 5 study study NOUN cana-5245 38 6 , , PUNCT cana-5245 38 7 𝑦 𝑦 PROPN cana-5245 38 8 ( ( PUNCT cana-5245 38 9 say say INTJ cana-5245 38 10 ) ) PUNCT cana-5245 38 11 takes take VERB cana-5245 38 12 value value NOUN cana-5245 38 13 𝑦𝑖 𝑦𝑖 PROPN cana-5245 38 14 on on ADP cana-5245 38 15 the the DET cana-5245 38 16 unit unit NOUN cana-5245 38 17 π‘ˆπ‘– π‘ˆπ‘– PROPN cana-5245 38 18 , , PUNCT cana-5245 38 19 ( ( PUNCT cana-5245 38 20 𝑖 𝑖 SYM cana-5245 38 21 = = SYM cana-5245 38 22 1 1 NUM cana-5245 38 23 , , PUNCT cana-5245 38 24 2 2 NUM cana-5245 38 25 , , PUNCT cana-5245 38 26 3 3 NUM cana-5245 38 27 … … PUNCT cana-5245 38 28 𝑁 𝑁 NOUN cana-5245 38 29 ) ) PUNCT cana-5245 38 30 . . PUNCT cana-5245 39 1 in in ADP cana-5245 39 2 survey survey NOUN cana-5245 39 3 on on ADP cana-5245 39 4 human human ADJ cana-5245 39 5 population population NOUN cana-5245 39 6 , , PUNCT cana-5245 39 7 it it PRON cana-5245 39 8 is be AUX cana-5245 39 9 often often ADV cana-5245 39 10 the the DET cana-5245 39 11 case case NOUN cana-5245 39 12 that that SCONJ cana-5245 39 13 𝑛𝑖 𝑛𝑖 PROPN cana-5245 39 14 unit unit NOUN cana-5245 39 15 respond respond VERB cana-5245 39 16 on on ADP cana-5245 39 17 the the DET cana-5245 39 18 first first ADJ cana-5245 39 19 attempt attempt NOUN cana-5245 39 20 while while SCONJ cana-5245 39 21 𝑛2 𝑛2 NOUN cana-5245 39 22 (= (= NOUN cana-5245 39 23 𝑛 𝑛 DET cana-5245 39 24 βˆ’ βˆ’ PROPN cana-5245 39 25 𝑛1 𝑛1 ADJ cana-5245 39 26 ) ) PUNCT cana-5245 39 27 units unit NOUN cana-5245 39 28 do do AUX cana-5245 39 29 not not PART cana-5245 39 30 provide provide VERB cana-5245 39 31 any any DET cana-5245 39 32 response response NOUN cana-5245 39 33 . . PUNCT cana-5245 40 1 in in ADP cana-5245 40 2 the the DET cana-5245 40 3 case case NOUN cana-5245 40 4 of of ADP cana-5245 40 5 non non NOUN cana-5245 40 6 - - NOUN cana-5245 40 7 response response NOUN cana-5245 40 8 at at ADP cana-5245 40 9 the the DET cana-5245 40 10 initial initial ADJ cana-5245 40 11 stage stage NOUN cana-5245 40 12 , , PUNCT cana-5245 40 13 hansen hansen PROPN cana-5245 40 14 and and CCONJ cana-5245 40 15 hurwitz hurwitz PROPN cana-5245 40 16 ( ( PUNCT cana-5245 40 17 1946 1946 NUM cana-5245 40 18 ) ) PUNCT cana-5245 40 19 proposed propose VERB cana-5245 40 20 a a DET cana-5245 40 21 double double ADJ cana-5245 40 22 sampling sampling NOUN cana-5245 40 23 plan plan NOUN cana-5245 40 24 for for ADP cana-5245 40 25 estimating estimate VERB cana-5245 40 26 the the DET cana-5245 40 27 population population NOUN cana-5245 40 28 mean mean VERB cana-5245 40 29 having have VERB cana-5245 40 30 the the DET cana-5245 40 31 steps step NOUN cana-5245 40 32 given give VERB cana-5245 40 33 below below ADP cana-5245 40 34 : : PUNCT cana-5245 40 35 communications communication NOUN cana-5245 40 36 on on ADP cana-5245 40 37 applied apply VERB cana-5245 40 38 nonlinear nonlinear ADJ cana-5245 40 39 analysis analysis NOUN cana-5245 40 40 issn issn NOUN cana-5245 40 41 : : PUNCT cana-5245 40 42 1074 1074 NUM cana-5245 40 43 - - PUNCT cana-5245 40 44 133x 133x NUM cana-5245 40 45 vol vol VERB cana-5245 40 46 32 32 NUM cana-5245 40 47 no no NOUN cana-5245 40 48 . . PUNCT cana-5245 41 1 10s 10 NOUN cana-5245 41 2 ( ( PUNCT cana-5245 41 3 2025 2025 NUM cana-5245 41 4 ) ) PUNCT cana-5245 41 5 1452 1452 NUM cana-5245 41 6 https://internationalpubls.com https://internationalpubls.com X cana-5245 42 1 a a X cana-5245 42 2 ) ) PUNCT cana-5245 42 3 a a DET cana-5245 42 4 simple simple ADJ cana-5245 42 5 random random ADJ cana-5245 42 6 sample sample NOUN cana-5245 42 7 of of ADP cana-5245 42 8 size size NOUN cana-5245 42 9 𝑛 𝑛 PROPN cana-5245 42 10 is be AUX cana-5245 42 11 drawn draw VERB cana-5245 42 12 and and CCONJ cana-5245 42 13 the the DET cana-5245 42 14 questionnaire questionnaire NOUN cana-5245 42 15 is be AUX cana-5245 42 16 mailed mail VERB cana-5245 42 17 to to ADP cana-5245 42 18 the the DET cana-5245 42 19 sample sample NOUN cana-5245 42 20 units unit NOUN cana-5245 42 21 b b X cana-5245 42 22 ) ) PUNCT cana-5245 42 23 a a DET cana-5245 42 24 sub sub NOUN cana-5245 42 25 - - NOUN cana-5245 42 26 sample sample NOUN cana-5245 42 27 of of ADP cana-5245 42 28 size size NOUN cana-5245 42 29 π‘Ÿ π‘Ÿ NOUN cana-5245 43 1 = = SYM cana-5245 43 2 ( ( PUNCT cana-5245 43 3 𝑛2 𝑛2 NOUN cana-5245 43 4 π‘˜β„ π‘˜β„ PROPN cana-5245 43 5 ) ) PUNCT cana-5245 43 6 , , PUNCT cana-5245 43 7 ( ( PUNCT cana-5245 43 8 π‘˜ π‘˜ DET cana-5245 43 9 β‰₯ β‰₯ NOUN cana-5245 43 10 1 1 NUM cana-5245 43 11 ) ) PUNCT cana-5245 43 12 from from ADP cana-5245 43 13 the the DET cana-5245 43 14 𝑛2 𝑛2 NOUN cana-5245 43 15 non non ADJ cana-5245 43 16 - - ADJ cana-5245 43 17 responding respond VERB cana-5245 43 18 units unit NOUN cana-5245 43 19 in in ADP cana-5245 43 20 the the DET cana-5245 43 21 initial initial ADJ cana-5245 43 22 attempt attempt NOUN cana-5245 43 23 is be AUX cana-5245 43 24 contacted contact VERB cana-5245 43 25 through through ADP cana-5245 43 26 personal personal ADJ cana-5245 43 27 interviews interview NOUN cana-5245 43 28 . . PUNCT cana-5245 44 1 in in ADP cana-5245 44 2 the the DET cana-5245 44 3 hansen hansen PROPN cana-5245 44 4 and and CCONJ cana-5245 44 5 hurwitz hurwitz PROPN cana-5245 44 6 method method NOUN cana-5245 44 7 the the DET cana-5245 44 8 population population NOUN cana-5245 44 9 is be AUX cana-5245 44 10 supposed suppose VERB cana-5245 44 11 to to PART cana-5245 44 12 be be AUX cana-5245 44 13 consisting consist VERB cana-5245 44 14 of of ADP cana-5245 44 15 response response NOUN cana-5245 44 16 stratum stratum NOUN cana-5245 44 17 of of ADP cana-5245 44 18 size size NOUN cana-5245 44 19 𝑁1 𝑁1 PROPN cana-5245 44 20 and and CCONJ cana-5245 44 21 the the DET cana-5245 44 22 non non ADJ cana-5245 44 23 - - ADJ cana-5245 44 24 response response ADJ cana-5245 44 25 stratum stratum NOUN cana-5245 44 26 of of ADP cana-5245 44 27 size size NOUN cana-5245 44 28 𝑁2 𝑁2 NOUN cana-5245 44 29 = = PUNCT cana-5245 44 30 ( ( PUNCT cana-5245 44 31 𝑁 𝑁 PROPN cana-5245 44 32 βˆ’ βˆ’ PROPN cana-5245 44 33 𝑁1 𝑁1 NOUN cana-5245 44 34 ) ) PUNCT cana-5245 44 35 . . PUNCT cana-5245 45 1 let let AUX cana-5245 45 2 οΏ½ οΏ½ PRON cana-5245 45 3 Μ… Μ… VERB cana-5245 45 4 οΏ½ οΏ½ NOUN cana-5245 45 5 = = SYM cana-5245 45 6 1 1 NUM cana-5245 45 7 𝑁 𝑁 PROPN cana-5245 45 8 βˆ‘ βˆ‘ PROPN cana-5245 45 9 𝑦𝑖 𝑦𝑖 PROPN cana-5245 45 10 𝑁 𝑁 PROPN cana-5245 45 11 𝑖=1 𝑖=1 PROPN cana-5245 45 12 and and CCONJ cana-5245 45 13 𝑆𝑦 𝑆𝑦 PROPN cana-5245 45 14 2 2 NUM cana-5245 45 15 = = SYM cana-5245 45 16 1 1 NUM cana-5245 45 17 π‘βˆ’1 π‘βˆ’1 NOUN cana-5245 45 18 βˆ‘ βˆ‘ PUNCT cana-5245 45 19 ( ( PUNCT cana-5245 45 20 𝑦𝑖 𝑦𝑖 PROPN cana-5245 45 21 βˆ’ βˆ’ PROPN cana-5245 45 22 οΏ½ οΏ½ NOUN cana-5245 45 23 Μ… Μ… NOUN cana-5245 45 24 οΏ½ οΏ½ NOUN cana-5245 45 25 )2𝑁 )2𝑁 PROPN cana-5245 45 26 𝑖=1 𝑖=1 PROPN cana-5245 45 27 denote denote VERB cana-5245 45 28 the the DET cana-5245 45 29 population population NOUN cana-5245 45 30 mean mean VERB cana-5245 45 31 and and CCONJ cana-5245 45 32 variance variance NOUN cana-5245 45 33 of of ADP cana-5245 45 34 the the DET cana-5245 45 35 study study NOUN cana-5245 45 36 variable variable NOUN cana-5245 45 37 y. y. PROPN cana-5245 45 38 let let VERB cana-5245 45 39 οΏ½ οΏ½ PROPN cana-5245 45 40 Μ… Μ… VERB cana-5245 45 41 οΏ½ οΏ½ NOUN cana-5245 45 42 1 1 NUM cana-5245 45 43 = = SYM cana-5245 45 44 1 1 NUM cana-5245 45 45 𝑁1 𝑁1 NOUN cana-5245 45 46 βˆ‘ βˆ‘ PROPN cana-5245 45 47 𝑦𝑖 𝑦𝑖 PROPN cana-5245 45 48 𝑁1 𝑁1 PROPN cana-5245 45 49 𝑖=1 𝑖=1 PROPN cana-5245 45 50 and and CCONJ cana-5245 45 51 𝑆𝑦(1 𝑆𝑦(1 ADJ cana-5245 45 52 ) ) PUNCT cana-5245 45 53 2 2 NUM cana-5245 45 54 = = SYM cana-5245 45 55 1 1 NUM cana-5245 45 56 𝑁1βˆ’1 𝑁1βˆ’1 NUM cana-5245 45 57 βˆ‘ βˆ‘ PUNCT cana-5245 45 58 ( ( PUNCT cana-5245 45 59 𝑦𝑖 𝑦𝑖 PROPN cana-5245 45 60 βˆ’ βˆ’ PROPN cana-5245 45 61 οΏ½ οΏ½ PROPN cana-5245 45 62 Μ… Μ… NOUN cana-5245 45 63 οΏ½ οΏ½ NOUN cana-5245 45 64 1)2𝑁1 1)2𝑁1 NUM cana-5245 45 65 𝑖=1 𝑖=1 PROPN cana-5245 45 66 denote denote VERB cana-5245 45 67 the the DET cana-5245 45 68 mean mean NOUN cana-5245 45 69 and and CCONJ cana-5245 45 70 variance variance NOUN cana-5245 45 71 of of ADP cana-5245 45 72 the the DET cana-5245 45 73 respondent respondent NOUN cana-5245 45 74 group group NOUN cana-5245 45 75 ( ( PUNCT cana-5245 45 76 or or CCONJ cana-5245 45 77 strata strata NOUN cana-5245 45 78 ) ) PUNCT cana-5245 45 79 . . PUNCT cana-5245 46 1 similarly similarly ADV cana-5245 46 2 , , PUNCT cana-5245 46 3 let let VERB cana-5245 46 4 οΏ½ οΏ½ PRON cana-5245 46 5 Μ… Μ… VERB cana-5245 46 6 οΏ½ οΏ½ NOUN cana-5245 46 7 2 2 NUM cana-5245 46 8 = = SYM cana-5245 46 9 1 1 NUM cana-5245 46 10 𝑁2 𝑁2 NOUN cana-5245 46 11 βˆ‘ βˆ‘ PART cana-5245 46 12 𝑦𝑖 𝑦𝑖 X cana-5245 46 13 𝑁2 𝑁2 NOUN cana-5245 46 14 𝑖=1 𝑖=1 PROPN cana-5245 46 15 and and CCONJ cana-5245 46 16 𝑆𝑦(2 𝑆𝑦(2 ADJ cana-5245 46 17 ) ) PUNCT cana-5245 46 18 2 2 NUM cana-5245 46 19 = = SYM cana-5245 46 20 1 1 NUM cana-5245 46 21 𝑁2βˆ’1 𝑁2βˆ’1 NOUN cana-5245 46 22 βˆ‘ βˆ‘ PUNCT cana-5245 46 23 ( ( PUNCT cana-5245 46 24 𝑦𝑖 𝑦𝑖 PROPN cana-5245 46 25 βˆ’ βˆ’ PROPN cana-5245 46 26 οΏ½ οΏ½ PROPN cana-5245 46 27 Μ… Μ… NOUN cana-5245 46 28 οΏ½ οΏ½ NOUN cana-5245 46 29 2)2𝑁2 2)2𝑁2 NUM cana-5245 46 30 𝑖=1 𝑖=1 PROPN cana-5245 46 31 denote denote VERB cana-5245 46 32 the the DET cana-5245 46 33 mean mean NOUN cana-5245 46 34 and and CCONJ cana-5245 46 35 variance variance NOUN cana-5245 46 36 of of ADP cana-5245 46 37 the the DET cana-5245 46 38 non non ADJ cana-5245 46 39 - - ADJ cana-5245 46 40 respondent respondent ADJ cana-5245 46 41 group group NOUN cana-5245 46 42 ( ( PUNCT cana-5245 46 43 or or CCONJ cana-5245 46 44 strata strata NOUN cana-5245 46 45 ) ) PUNCT cana-5245 46 46 . . PUNCT cana-5245 47 1 the the DET cana-5245 47 2 population population NOUN cana-5245 47 3 mean mean VERB cana-5245 47 4 can can AUX cana-5245 47 5 be be AUX cana-5245 47 6 written write VERB cana-5245 47 7 as as ADP cana-5245 47 8 οΏ½ οΏ½ NOUN cana-5245 47 9 Μ… Μ… NOUN cana-5245 47 10 οΏ½ οΏ½ NOUN cana-5245 47 11 = = SYM cana-5245 47 12 π‘Š1 π‘Š1 PROPN cana-5245 47 13 οΏ½ οΏ½ PROPN cana-5245 47 14 Μ… Μ… NOUN cana-5245 47 15 οΏ½ οΏ½ NOUN cana-5245 47 16 1 1 NUM cana-5245 47 17 + + NUM cana-5245 47 18 π‘Š2 π‘Š2 PROPN cana-5245 47 19 οΏ½ οΏ½ PROPN cana-5245 47 20 Μ… Μ… NOUN cana-5245 47 21 οΏ½ οΏ½ NOUN cana-5245 47 22 2 2 NUM cana-5245 47 23 where where SCONJ cana-5245 47 24 π‘Š1 π‘Š1 PROPN cana-5245 47 25 = = PRON cana-5245 47 26 ( ( PUNCT cana-5245 47 27 𝑁1 𝑁1 PROPN cana-5245 47 28 𝑁 𝑁 PROPN cana-5245 47 29 ) ) PUNCT cana-5245 47 30 and and CCONJ cana-5245 47 31 π‘Š2 π‘Š2 PROPN cana-5245 47 32 = = PUNCT cana-5245 47 33 ( ( PUNCT cana-5245 47 34 𝑁2 𝑁2 NOUN cana-5245 47 35 𝑁 𝑁 PROPN cana-5245 47 36 ) ) PUNCT cana-5245 47 37 . . PUNCT cana-5245 48 1 the the DET cana-5245 48 2 sample sample NOUN cana-5245 48 3 mean mean VERB cana-5245 48 4 οΏ½ οΏ½ PROPN cana-5245 48 5 Μ… Μ… NOUN cana-5245 48 6 οΏ½ οΏ½ NOUN cana-5245 48 7 1 1 NUM cana-5245 48 8 = = SYM cana-5245 48 9 1 1 NUM cana-5245 48 10 𝑛1 𝑛1 NOUN cana-5245 48 11 βˆ‘ βˆ‘ PROPN cana-5245 48 12 𝑦𝑖 𝑦𝑖 PROPN cana-5245 48 13 𝑛1 𝑛1 NOUN cana-5245 48 14 𝑖=1 𝑖=1 PROPN cana-5245 48 15 denote denote VERB cana-5245 48 16 the the DET cana-5245 48 17 mean mean NOUN cana-5245 48 18 of of ADP cana-5245 48 19 the the DET cana-5245 48 20 𝑛1 𝑛1 ADJ cana-5245 48 21 responding respond VERB cana-5245 48 22 units unit NOUN cana-5245 48 23 and and CCONJ cana-5245 48 24 οΏ½ οΏ½ NOUN cana-5245 48 25 Μ… Μ… NOUN cana-5245 48 26 οΏ½ οΏ½ NOUN cana-5245 48 27 2 2 NUM cana-5245 48 28 = = SYM cana-5245 48 29 1 1 NUM cana-5245 48 30 𝑛2 𝑛2 NOUN cana-5245 48 31 βˆ‘ βˆ‘ PROPN cana-5245 48 32 𝑦𝑖 𝑦𝑖 PROPN cana-5245 48 33 𝑛2 𝑛2 NOUN cana-5245 48 34 𝑖=1 𝑖=1 PROPN cana-5245 48 35 denote denote VERB cana-5245 48 36 the the DET cana-5245 48 37 mean mean NOUN cana-5245 48 38 of of ADP cana-5245 48 39 the the DET cana-5245 48 40 𝑛2 𝑛2 NOUN cana-5245 48 41 non non ADJ cana-5245 48 42 - - ADJ cana-5245 48 43 responding respond VERB cana-5245 48 44 units unit NOUN cana-5245 48 45 . . PUNCT cana-5245 49 1 let let VERB cana-5245 49 2 οΏ½ οΏ½ PRON cana-5245 49 3 Μ… Μ… VERB cana-5245 49 4 οΏ½ οΏ½ NOUN cana-5245 49 5 2π‘Ÿ 2π‘Ÿ NOUN cana-5245 49 6 = = SYM cana-5245 49 7 1 1 NUM cana-5245 49 8 π‘Ÿ π‘Ÿ NOUN cana-5245 49 9 βˆ‘ βˆ‘ ADP cana-5245 49 10 𝑦𝑖 𝑦𝑖 NUM cana-5245 49 11 π‘Ÿ π‘Ÿ NOUN cana-5245 49 12 𝑖=1 𝑖=1 PUNCT cana-5245 49 13 denote denote VERB cana-5245 49 14 the the DET cana-5245 49 15 mean mean NOUN cana-5245 49 16 of of ADP cana-5245 49 17 the the DET cana-5245 49 18 π‘Ÿ π‘Ÿ NOUN cana-5245 49 19 sub sub ADJ cana-5245 49 20 - - ADJ cana-5245 49 21 sampled sample VERB cana-5245 49 22 units unit NOUN cana-5245 49 23 where where SCONJ cana-5245 49 24 π‘Ÿ π‘Ÿ NOUN cana-5245 49 25 = = SYM cana-5245 49 26 𝑛2 𝑛2 VERB cana-5245 49 27 π‘˜ π‘˜ PRON cana-5245 49 28 .hansen .hansen NOUN cana-5245 49 29 and and CCONJ cana-5245 49 30 hurwitz hurwitz PROPN cana-5245 49 31 ( ( PUNCT cana-5245 49 32 1946 1946 NUM cana-5245 49 33 ) ) PUNCT cana-5245 49 34 suggested suggest VERB cana-5245 49 35 an an DET cana-5245 49 36 unbiased unbiased ADJ cana-5245 49 37 estimator estimator NOUN cana-5245 49 38 for for ADP cana-5245 49 39 the the DET cana-5245 49 40 population population NOUN cana-5245 49 41 mean mean VERB cana-5245 49 42 οΏ½ οΏ½ PROPN cana-5245 49 43 Μ… Μ… NOUN cana-5245 49 44 οΏ½ οΏ½ NOUN cana-5245 49 45 of of ADP cana-5245 49 46 the the DET cana-5245 49 47 study study NOUN cana-5245 49 48 variable variable NOUN cana-5245 49 49 𝑦 𝑦 NOUN cana-5245 49 50 is be AUX cana-5245 49 51 given give VERB cana-5245 49 52 as as ADP cana-5245 49 53 : : PUNCT cana-5245 49 54 οΏ½ οΏ½ NOUN cana-5245 49 55 Μ… Μ… NOUN cana-5245 49 56 οΏ½ οΏ½ NOUN cana-5245 49 57 βˆ— βˆ— NOUN cana-5245 49 58 = = SYM cana-5245 49 59 𝑀1 𝑀1 VERB cana-5245 49 60 οΏ½ οΏ½ PROPN cana-5245 49 61 Μ… Μ… NOUN cana-5245 49 62 οΏ½ οΏ½ NOUN cana-5245 49 63 1 1 NUM cana-5245 49 64 + + NUM cana-5245 49 65 𝑀2 𝑀2 NOUN cana-5245 49 66 οΏ½ οΏ½ NOUN cana-5245 49 67 Μ… Μ… NOUN cana-5245 49 68 οΏ½ οΏ½ NOUN cana-5245 49 69 2π‘Ÿ 2π‘Ÿ NUM cana-5245 49 70 ( ( PUNCT cana-5245 49 71 2.1 2.1 NUM cana-5245 49 72 ) ) PUNCT cana-5245 49 73 where where SCONJ cana-5245 49 74 𝑀1 𝑀1 VERB cana-5245 49 75 = = SYM cana-5245 49 76 𝑛1 𝑛1 ADJ cana-5245 49 77 𝑛 𝑛 NOUN cana-5245 49 78 and and CCONJ cana-5245 49 79 𝑀2 𝑀2 NOUN cana-5245 49 80 = = SYM cana-5245 50 1 𝑛2 𝑛2 NOUN cana-5245 50 2 𝑛 𝑛 PROPN cana-5245 50 3 are be AUX cana-5245 50 4 responding respond VERB cana-5245 50 5 proportions proportion NOUN cana-5245 50 6 and and CCONJ cana-5245 50 7 non non ADJ cana-5245 50 8 - - ADJ cana-5245 50 9 responding respond VERB cana-5245 50 10 proportions proportion NOUN cana-5245 50 11 of of ADP cana-5245 50 12 the the DET cana-5245 50 13 sample sample NOUN cana-5245 50 14 . . PUNCT cana-5245 51 1 the the DET cana-5245 51 2 variance variance NOUN cana-5245 51 3 οΏ½ οΏ½ PROPN cana-5245 51 4 Μ… Μ… NOUN cana-5245 51 5 οΏ½ οΏ½ NOUN cana-5245 51 6 βˆ— βˆ— NOUN cana-5245 51 7 is be AUX cana-5245 51 8 given give VERB cana-5245 51 9 below below ADP cana-5245 51 10 : : PUNCT cana-5245 51 11 𝑉( 𝑉( NOUN cana-5245 51 12 οΏ½ οΏ½ NOUN cana-5245 51 13 Μ… Μ… NOUN cana-5245 51 14 οΏ½ οΏ½ NOUN cana-5245 51 15 βˆ— βˆ— NOUN cana-5245 51 16 ) ) PUNCT cana-5245 51 17 = = SYM cana-5245 51 18 οΏ½ οΏ½ NOUN cana-5245 51 19 Μ… Μ… NOUN cana-5245 51 20 οΏ½ οΏ½ NOUN cana-5245 51 21 2 2 NUM cana-5245 51 22 [ [ X cana-5245 51 23 ( ( PUNCT cana-5245 51 24 1 1 NUM cana-5245 51 25 βˆ’ βˆ’ PROPN cana-5245 51 26 𝑓 𝑓 PRON cana-5245 51 27 𝑛 𝑛 NOUN cana-5245 51 28 ) ) PUNCT cana-5245 52 1 𝐢𝑦 𝐢𝑦 PROPN cana-5245 52 2 2 2 NUM cana-5245 52 3 + + NOUN cana-5245 52 4 π‘Š2(π‘˜ π‘Š2(π‘˜ VERB cana-5245 52 5 βˆ’ βˆ’ NUM cana-5245 52 6 1 1 NUM cana-5245 52 7 ) ) PUNCT cana-5245 52 8 𝑛 𝑛 DET cana-5245 52 9 𝐢𝑦(2 𝐢𝑦(2 PROPN cana-5245 52 10 ) ) PUNCT cana-5245 52 11 2 2 NUM cana-5245 52 12 ] ] PUNCT cana-5245 52 13 ( ( PUNCT cana-5245 52 14 2.2 2.2 NUM cana-5245 52 15 ) ) PUNCT cana-5245 52 16 where where SCONJ cana-5245 52 17 𝐢𝑦 𝐢𝑦 PROPN cana-5245 52 18 2 2 NUM cana-5245 52 19 = = SYM cana-5245 52 20 𝑆𝑦 𝑆𝑦 PROPN cana-5245 52 21 2 2 NUM cana-5245 52 22 οΏ½ οΏ½ NOUN cana-5245 52 23 Μ… Μ… NOUN cana-5245 52 24 οΏ½ οΏ½ NOUN cana-5245 52 25 2 2 NUM cana-5245 52 26 and and CCONJ cana-5245 52 27 𝐢𝑦(2 𝐢𝑦(2 NOUN cana-5245 52 28 ) ) PUNCT cana-5245 52 29 2 2 NUM cana-5245 52 30 = = SYM cana-5245 52 31 𝑆𝑦(2 𝑆𝑦(2 NOUN cana-5245 52 32 ) ) PUNCT cana-5245 52 33 2 2 NUM cana-5245 52 34 οΏ½ οΏ½ NOUN cana-5245 52 35 Μ… Μ… NOUN cana-5245 52 36 οΏ½ οΏ½ NOUN cana-5245 52 37 2 2 NUM cana-5245 52 38 . . PUNCT cana-5245 53 1 let let VERB cana-5245 53 2 π‘₯𝑖(𝑖 π‘₯𝑖(𝑖 NOUN cana-5245 53 3 = = SYM cana-5245 53 4 1,2 1,2 NUM cana-5245 53 5 , , PUNCT cana-5245 53 6 … … PUNCT cana-5245 53 7 𝑁 𝑁 NOUN cana-5245 53 8 ) ) PUNCT cana-5245 53 9 denote denote VERB cana-5245 53 10 the the DET cana-5245 53 11 auxiliary auxiliary ADJ cana-5245 53 12 variable variable NOUN cana-5245 53 13 correlated correlate VERB cana-5245 53 14 with with ADP cana-5245 53 15 the the DET cana-5245 53 16 study study NOUN cana-5245 53 17 variable variable NOUN cana-5245 53 18 𝑦𝑖(𝑖 𝑦𝑖(𝑖 NOUN cana-5245 53 19 = = SYM cana-5245 53 20 1,2 1,2 NUM cana-5245 53 21 , , PUNCT cana-5245 53 22 … … PUNCT cana-5245 53 23 , , PUNCT cana-5245 53 24 𝑁 𝑁 PROPN cana-5245 53 25 ) ) PUNCT cana-5245 53 26 . . PUNCT cana-5245 54 1 let let VERB cana-5245 54 2 οΏ½ οΏ½ PRON cana-5245 54 3 Μ… Μ… VERB cana-5245 54 4 οΏ½ οΏ½ NOUN cana-5245 54 5 = = SYM cana-5245 54 6 1 1 NUM cana-5245 54 7 𝑁 𝑁 PROPN cana-5245 54 8 βˆ‘ βˆ‘ PROPN cana-5245 54 9 π‘₯𝑖 π‘₯𝑖 ADP cana-5245 54 10 𝑁 𝑁 PROPN cana-5245 54 11 𝑖=1 𝑖=1 PROPN cana-5245 54 12 and and CCONJ cana-5245 54 13 𝑆π‘₯ 𝑆π‘₯ VERB cana-5245 54 14 2 2 NUM cana-5245 54 15 = = SYM cana-5245 54 16 1 1 NUM cana-5245 54 17 π‘βˆ’1 π‘βˆ’1 NOUN cana-5245 54 18 βˆ‘ βˆ‘ PUNCT cana-5245 54 19 ( ( PUNCT cana-5245 54 20 π‘₯𝑖 π‘₯𝑖 ADP cana-5245 54 21 βˆ’ βˆ’ PROPN cana-5245 54 22 οΏ½ οΏ½ NOUN cana-5245 54 23 Μ… Μ… NOUN cana-5245 54 24 οΏ½ οΏ½ NOUN cana-5245 54 25 )2𝑁 )2𝑁 PROPN cana-5245 54 26 𝑖=1 𝑖=1 PROPN cana-5245 54 27 denote denote VERB cana-5245 54 28 the the DET cana-5245 54 29 population population NOUN cana-5245 54 30 mean mean VERB cana-5245 54 31 and and CCONJ cana-5245 54 32 variance variance NOUN cana-5245 54 33 of of ADP cana-5245 54 34 the the DET cana-5245 54 35 auxiliary auxiliary ADJ cana-5245 54 36 variable variable NOUN cana-5245 54 37 y. y. PROPN cana-5245 54 38 let let VERB cana-5245 54 39 οΏ½ οΏ½ PROPN cana-5245 54 40 Μ… Μ… VERB cana-5245 54 41 οΏ½ οΏ½ NOUN cana-5245 54 42 1 1 NUM cana-5245 54 43 = = SYM cana-5245 54 44 1 1 NUM cana-5245 54 45 𝑁1 𝑁1 NOUN cana-5245 54 46 βˆ‘ βˆ‘ PROPN cana-5245 54 47 π‘₯𝑖 π‘₯𝑖 PROPN cana-5245 55 1 𝑁1 𝑁1 PROPN cana-5245 55 2 𝑖=1 𝑖=1 PROPN cana-5245 55 3 and and CCONJ cana-5245 55 4 𝑆π‘₯(1 𝑆π‘₯(1 NOUN cana-5245 55 5 ) ) PUNCT cana-5245 55 6 2 2 NUM cana-5245 55 7 = = SYM cana-5245 55 8 1 1 NUM cana-5245 55 9 𝑁1βˆ’1 𝑁1βˆ’1 NUM cana-5245 55 10 βˆ‘ βˆ‘ PUNCT cana-5245 55 11 ( ( PUNCT cana-5245 55 12 π‘₯𝑖 π‘₯𝑖 ADP cana-5245 55 13 βˆ’ βˆ’ PROPN cana-5245 55 14 οΏ½ οΏ½ NOUN cana-5245 55 15 Μ… Μ… NOUN cana-5245 55 16 οΏ½ οΏ½ NOUN cana-5245 55 17 1)2𝑁1 1)2𝑁1 NUM cana-5245 55 18 𝑖=1 𝑖=1 PROPN cana-5245 55 19 denote denote VERB cana-5245 55 20 the the DET cana-5245 55 21 mean mean NOUN cana-5245 55 22 and and CCONJ cana-5245 55 23 variance variance NOUN cana-5245 55 24 of of ADP cana-5245 55 25 the the DET cana-5245 55 26 respondent respondent NOUN cana-5245 55 27 group group NOUN cana-5245 55 28 ( ( PUNCT cana-5245 55 29 or or CCONJ cana-5245 55 30 strata strata NOUN cana-5245 55 31 ) ) PUNCT cana-5245 55 32 . . PUNCT cana-5245 56 1 similarly similarly ADV cana-5245 56 2 , , PUNCT cana-5245 56 3 let let VERB cana-5245 56 4 οΏ½ οΏ½ PRON cana-5245 56 5 Μ… Μ… VERB cana-5245 56 6 οΏ½ οΏ½ NOUN cana-5245 56 7 2 2 NUM cana-5245 56 8 = = SYM cana-5245 56 9 1 1 NUM cana-5245 56 10 𝑁2 𝑁2 NOUN cana-5245 56 11 βˆ‘ βˆ‘ PART cana-5245 56 12 𝑦𝑖 𝑦𝑖 X cana-5245 56 13 𝑁2 𝑁2 NOUN cana-5245 56 14 𝑖=1 𝑖=1 PROPN cana-5245 56 15 and and CCONJ cana-5245 56 16 𝑆π‘₯(2 𝑆π‘₯(2 ADJ cana-5245 56 17 ) ) PUNCT cana-5245 56 18 2 2 NUM cana-5245 56 19 = = SYM cana-5245 56 20 1 1 NUM cana-5245 56 21 𝑁2βˆ’1 𝑁2βˆ’1 NOUN cana-5245 56 22 βˆ‘ βˆ‘ PUNCT cana-5245 56 23 ( ( PUNCT cana-5245 56 24 π‘₯𝑖 π‘₯𝑖 ADP cana-5245 56 25 βˆ’ βˆ’ PROPN cana-5245 56 26 οΏ½ οΏ½ NOUN cana-5245 56 27 Μ… Μ… NOUN cana-5245 56 28 οΏ½ οΏ½ NOUN cana-5245 56 29 2)2𝑁2 2)2𝑁2 NUM cana-5245 56 30 𝑖=1 𝑖=1 PROPN cana-5245 56 31 denote denote VERB cana-5245 56 32 the the DET cana-5245 56 33 mean mean NOUN cana-5245 56 34 and and CCONJ cana-5245 56 35 variance variance NOUN cana-5245 56 36 of of ADP cana-5245 56 37 the the DET cana-5245 56 38 non non ADJ cana-5245 56 39 - - ADJ cana-5245 56 40 respondent respondent ADJ cana-5245 56 41 group group NOUN cana-5245 56 42 ( ( PUNCT cana-5245 56 43 or or CCONJ cana-5245 56 44 strata strata NOUN cana-5245 56 45 ) ) PUNCT cana-5245 56 46 . . PUNCT cana-5245 57 1 let let VERB cana-5245 57 2 οΏ½ οΏ½ PRON cana-5245 57 3 Μ… Μ… VERB cana-5245 57 4 οΏ½ οΏ½ NOUN cana-5245 57 5 = = SYM cana-5245 57 6 communications communication NOUN cana-5245 57 7 on on ADP cana-5245 57 8 applied apply VERB cana-5245 57 9 nonlinear nonlinear ADJ cana-5245 57 10 analysis analysis NOUN cana-5245 57 11 issn issn NOUN cana-5245 57 12 : : PUNCT cana-5245 57 13 1074 1074 NUM cana-5245 57 14 - - PUNCT cana-5245 57 15 133x 133x NUM cana-5245 57 16 vol vol VERB cana-5245 57 17 32 32 NUM cana-5245 57 18 no no NOUN cana-5245 57 19 . . PUNCT cana-5245 58 1 10s 10 NOUN cana-5245 58 2 ( ( PUNCT cana-5245 58 3 2025 2025 NUM cana-5245 58 4 ) ) PUNCT cana-5245 58 5 1453 1453 NUM cana-5245 58 6 https://internationalpubls.com https://internationalpubls.com X cana-5245 58 7 1 1 NUM cana-5245 58 8 𝑛 𝑛 PRON cana-5245 58 9 βˆ‘ βˆ‘ PUNCT cana-5245 58 10 π‘₯𝑖 π‘₯𝑖 PROPN cana-5245 58 11 𝑛 𝑛 PRON cana-5245 58 12 𝑖=1 𝑖=1 PROPN cana-5245 58 13 denote denote VERB cana-5245 58 14 the the DET cana-5245 58 15 mean mean NOUN cana-5245 58 16 of of ADP cana-5245 58 17 all all DET cana-5245 58 18 the the DET cana-5245 58 19 n n PROPN cana-5245 58 20 units unit NOUN cana-5245 58 21 . . PUNCT cana-5245 59 1 let let VERB cana-5245 59 2 οΏ½ οΏ½ PRON cana-5245 59 3 Μ… Μ… VERB cana-5245 59 4 οΏ½ οΏ½ NOUN cana-5245 59 5 1 1 NUM cana-5245 59 6 = = SYM cana-5245 59 7 1 1 NUM cana-5245 59 8 𝑛1 𝑛1 NOUN cana-5245 59 9 βˆ‘ βˆ‘ PUNCT cana-5245 59 10 π‘₯𝑖 π‘₯𝑖 PROPN cana-5245 59 11 𝑛1 𝑛1 PRON cana-5245 59 12 𝑖=1 𝑖=1 PROPN cana-5245 59 13 denote denote VERB cana-5245 59 14 the the DET cana-5245 59 15 mean mean NOUN cana-5245 59 16 of of ADP cana-5245 59 17 the the DET cana-5245 59 18 𝑛1 𝑛1 ADJ cana-5245 59 19 responding respond VERB cana-5245 59 20 units unit NOUN cana-5245 59 21 and and CCONJ cana-5245 59 22 οΏ½ οΏ½ NOUN cana-5245 59 23 Μ… Μ… NOUN cana-5245 59 24 οΏ½ οΏ½ NOUN cana-5245 59 25 2 2 NUM cana-5245 59 26 = = SYM cana-5245 59 27 1 1 NUM cana-5245 59 28 𝑛2 𝑛2 NOUN cana-5245 59 29 βˆ‘ βˆ‘ PROPN cana-5245 59 30 π‘₯𝑖 π‘₯𝑖 PROPN cana-5245 59 31 𝑛2 𝑛2 NOUN cana-5245 59 32 𝑖=1 𝑖=1 PROPN cana-5245 59 33 denote denote VERB cana-5245 59 34 the the DET cana-5245 59 35 mean mean NOUN cana-5245 59 36 of of ADP cana-5245 59 37 the the DET cana-5245 59 38 𝑛2 𝑛2 NOUN cana-5245 59 39 non non ADJ cana-5245 59 40 - - ADJ cana-5245 59 41 responding respond VERB cana-5245 59 42 units unit NOUN cana-5245 59 43 . . PUNCT cana-5245 60 1 let let VERB cana-5245 60 2 οΏ½ οΏ½ PRON cana-5245 60 3 Μ… Μ… VERB cana-5245 60 4 οΏ½ οΏ½ NOUN cana-5245 60 5 2π‘Ÿ 2π‘Ÿ NOUN cana-5245 60 6 = = SYM cana-5245 60 7 1 1 NUM cana-5245 60 8 π‘Ÿ π‘Ÿ NOUN cana-5245 60 9 βˆ‘ βˆ‘ PUNCT cana-5245 60 10 π‘₯𝑖 π‘₯𝑖 ADP cana-5245 60 11 π‘Ÿ π‘Ÿ NOUN cana-5245 60 12 𝑖=1 𝑖=1 PUNCT cana-5245 60 13 denote denote VERB cana-5245 60 14 the the DET cana-5245 60 15 mean mean NOUN cana-5245 60 16 of of ADP cana-5245 60 17 the the DET cana-5245 60 18 π‘Ÿ π‘Ÿ NOUN cana-5245 60 19 sub sub ADJ cana-5245 60 20 - - ADJ cana-5245 60 21 sampled sample VERB cana-5245 60 22 units unit NOUN cana-5245 60 23 where where SCONJ cana-5245 60 24 π‘Ÿ π‘Ÿ NOUN cana-5245 60 25 = = SYM cana-5245 60 26 𝑛2 𝑛2 VERB cana-5245 60 27 π‘˜ π‘˜ PROPN cana-5245 60 28 . . PUNCT cana-5245 61 1 with with ADP cana-5245 61 2 this this DET cana-5245 61 3 background background NOUN cana-5245 61 4 , , PUNCT cana-5245 61 5 define define VERB cana-5245 61 6 an an DET cana-5245 61 7 unbiased unbiased ADJ cana-5245 61 8 estimator estimator NOUN cana-5245 61 9 of of ADP cana-5245 61 10 population population NOUN cana-5245 61 11 mean mean VERB cana-5245 61 12 οΏ½ οΏ½ PROPN cana-5245 61 13 Μ… Μ… NOUN cana-5245 61 14 οΏ½ οΏ½ NOUN cana-5245 61 15 is be AUX cana-5245 61 16 given give VERB cana-5245 61 17 as as ADP cana-5245 61 18 : : PUNCT cana-5245 61 19 οΏ½ οΏ½ NOUN cana-5245 61 20 Μ… Μ… NOUN cana-5245 61 21 οΏ½ οΏ½ NOUN cana-5245 61 22 βˆ— βˆ— NOUN cana-5245 61 23 = = SYM cana-5245 61 24 𝑀1 𝑀1 VERB cana-5245 61 25 οΏ½ οΏ½ PROPN cana-5245 61 26 Μ… Μ… NOUN cana-5245 61 27 οΏ½ οΏ½ NOUN cana-5245 61 28 1 1 NUM cana-5245 61 29 + + NUM cana-5245 61 30 𝑀2 𝑀2 NOUN cana-5245 61 31 οΏ½ οΏ½ NOUN cana-5245 61 32 Μ… Μ… NOUN cana-5245 61 33 οΏ½ οΏ½ NOUN cana-5245 61 34 2π‘Ÿ 2π‘Ÿ NUM cana-5245 61 35 ( ( PUNCT cana-5245 61 36 2.3 2.3 NUM cana-5245 61 37 ) ) PUNCT cana-5245 61 38 the the DET cana-5245 61 39 variance variance NOUN cana-5245 61 40 of of ADP cana-5245 61 41 οΏ½ οΏ½ PROPN cana-5245 61 42 Μ… Μ… NOUN cana-5245 61 43 οΏ½ οΏ½ NOUN cana-5245 61 44 βˆ— βˆ— NOUN cana-5245 61 45 is be AUX cana-5245 61 46 given give VERB cana-5245 61 47 below below ADP cana-5245 61 48 : : PUNCT cana-5245 61 49 𝑉( 𝑉( NOUN cana-5245 61 50 οΏ½ οΏ½ NOUN cana-5245 61 51 Μ… Μ… NOUN cana-5245 61 52 οΏ½ οΏ½ NOUN cana-5245 61 53 βˆ— βˆ— NOUN cana-5245 61 54 ) ) PUNCT cana-5245 61 55 = = SYM cana-5245 61 56 οΏ½ οΏ½ NOUN cana-5245 61 57 Μ… Μ… NOUN cana-5245 61 58 οΏ½ οΏ½ NOUN cana-5245 61 59 2 2 NUM cana-5245 61 60 [ [ X cana-5245 61 61 ( ( PUNCT cana-5245 61 62 1 1 NUM cana-5245 61 63 βˆ’ βˆ’ PROPN cana-5245 61 64 𝑓 𝑓 DET cana-5245 61 65 𝑛 𝑛 NOUN cana-5245 61 66 ) ) PUNCT cana-5245 62 1 𝐢π‘₯ 𝐢π‘₯ ADV cana-5245 62 2 2 2 NUM cana-5245 62 3 + + CCONJ cana-5245 62 4 π‘Š2(π‘˜ π‘Š2(π‘˜ VERB cana-5245 62 5 βˆ’ βˆ’ NUM cana-5245 62 6 1 1 NUM cana-5245 62 7 ) ) PUNCT cana-5245 62 8 𝑛 𝑛 DET cana-5245 62 9 𝐢π‘₯(2 𝐢π‘₯(2 NOUN cana-5245 62 10 ) ) PUNCT cana-5245 62 11 2 2 NUM cana-5245 62 12 ] ] PUNCT cana-5245 62 13 ( ( PUNCT cana-5245 62 14 2.4 2.4 NUM cana-5245 62 15 ) ) PUNCT cana-5245 62 16 where where SCONJ cana-5245 62 17 𝐢π‘₯ 𝐢π‘₯ ADV cana-5245 62 18 2 2 X cana-5245 62 19 = = SYM cana-5245 62 20 𝑆π‘₯ 𝑆π‘₯ PROPN cana-5245 62 21 2 2 NUM cana-5245 62 22 οΏ½ οΏ½ NOUN cana-5245 62 23 Μ… Μ… NOUN cana-5245 62 24 οΏ½ οΏ½ NOUN cana-5245 62 25 2 2 NUM cana-5245 62 26 and and CCONJ cana-5245 62 27 𝐢π‘₯(2 𝐢π‘₯(2 ADJ cana-5245 62 28 ) ) PUNCT cana-5245 62 29 2 2 NUM cana-5245 62 30 = = SYM cana-5245 62 31 𝑆π‘₯(2 𝑆π‘₯(2 ADJ cana-5245 62 32 ) ) PUNCT cana-5245 62 33 2 2 NUM cana-5245 62 34 οΏ½ οΏ½ NOUN cana-5245 62 35 Μ… Μ… NOUN cana-5245 62 36 οΏ½ οΏ½ NOUN cana-5245 62 37 2 2 NUM cana-5245 62 38 . . PUNCT cana-5245 62 39 2.1 2.1 NUM cana-5245 62 40 bias bias NOUN cana-5245 62 41 and and CCONJ cana-5245 62 42 mean mean ADJ cana-5245 62 43 square square ADJ cana-5245 62 44 error error NOUN cana-5245 62 45 ( ( PUNCT cana-5245 62 46 mse mse NOUN cana-5245 62 47 ) ) PUNCT cana-5245 62 48 of of ADP cana-5245 62 49 the the DET cana-5245 62 50 proposed propose VERB cana-5245 62 51 estimators estimator NOUN cana-5245 62 52 let let VERB cana-5245 62 53 us we PRON cana-5245 62 54 define define VERB cana-5245 62 55 the the DET cana-5245 62 56 following following ADJ cana-5245 62 57 terms term NOUN cana-5245 62 58 : : PUNCT cana-5245 62 59 οΏ½ οΏ½ NOUN cana-5245 62 60 Μ… Μ… NOUN cana-5245 62 61 οΏ½ οΏ½ NOUN cana-5245 62 62 βˆ— βˆ— NOUN cana-5245 62 63 = = SYM cana-5245 62 64 οΏ½ οΏ½ PROPN cana-5245 62 65 Μ… Μ… NOUN cana-5245 62 66 οΏ½ οΏ½ NOUN cana-5245 62 67 (1 (1 ADJ cana-5245 62 68 + + NUM cana-5245 62 69 πœ€0 πœ€0 NOUN cana-5245 62 70 ) ) PUNCT cana-5245 62 71 οΏ½ οΏ½ PROPN cana-5245 62 72 Μ… Μ… NOUN cana-5245 62 73 οΏ½ οΏ½ NOUN cana-5245 62 74 βˆ— βˆ— NOUN cana-5245 62 75 = = SYM cana-5245 62 76 οΏ½ οΏ½ PROPN cana-5245 62 77 Μ… Μ… NOUN cana-5245 62 78 οΏ½ οΏ½ NOUN cana-5245 62 79 (1 (1 NOUN cana-5245 62 80 + + NUM cana-5245 62 81 πœ€1 πœ€1 PROPN cana-5245 62 82 ) ) PUNCT cana-5245 62 83 οΏ½ οΏ½ PROPN cana-5245 62 84 Μ… Μ… NOUN cana-5245 62 85 οΏ½ οΏ½ NOUN cana-5245 62 86 π‘₯ π‘₯ NOUN cana-5245 62 87 βˆ— βˆ— NOUN cana-5245 62 88 = = SYM cana-5245 62 89 οΏ½ οΏ½ NOUN cana-5245 62 90 Μ… Μ… NOUN cana-5245 62 91 οΏ½ οΏ½ NOUN cana-5245 62 92 π‘₯(1 π‘₯(1 NOUN cana-5245 62 93 + + NUM cana-5245 62 94 πœ€2 πœ€2 NOUN cana-5245 62 95 ) ) PUNCT cana-5245 62 96 𝐸(πœ€0 𝐸(πœ€0 NOUN cana-5245 62 97 ) ) PUNCT cana-5245 63 1 = = SYM cana-5245 63 2 𝐸(πœ€1 𝐸(πœ€1 PROPN cana-5245 63 3 ) ) PUNCT cana-5245 63 4 = = PRON cana-5245 63 5 e(πœ€2 e(πœ€2 VERB cana-5245 63 6 ) ) PUNCT cana-5245 63 7 = = SYM cana-5245 63 8 0 0 NUM cana-5245 63 9 ( ( PUNCT cana-5245 63 10 2.5 2.5 NUM cana-5245 63 11 ) ) PUNCT cana-5245 63 12 𝐸(πœ€0 𝐸(πœ€0 NOUN cana-5245 63 13 2 2 NUM cana-5245 63 14 ) ) PUNCT cana-5245 63 15 = = NOUN cana-5245 64 1 [ [ X cana-5245 64 2 ( ( PUNCT cana-5245 64 3 1 1 NUM cana-5245 64 4 βˆ’ βˆ’ PROPN cana-5245 64 5 𝑓 𝑓 PRON cana-5245 64 6 𝑛 𝑛 NOUN cana-5245 64 7 ) ) PUNCT cana-5245 64 8 𝐢𝑦 𝐢𝑦 PROPN cana-5245 64 9 2 2 NUM cana-5245 64 10 + + NOUN cana-5245 64 11 π‘Š2(π‘˜ π‘Š2(π‘˜ VERB cana-5245 64 12 βˆ’ βˆ’ NUM cana-5245 64 13 1 1 NUM cana-5245 64 14 ) ) PUNCT cana-5245 64 15 𝑛 𝑛 DET cana-5245 64 16 𝐢𝑦(2 𝐢𝑦(2 PROPN cana-5245 64 17 ) ) PUNCT cana-5245 64 18 2 2 NUM cana-5245 64 19 ] ] PUNCT cana-5245 64 20 = = SYM cana-5245 64 21 𝐡 𝐡 NOUN cana-5245 64 22 ( ( PUNCT cana-5245 64 23 π‘ π‘Žπ‘¦ π‘ π‘Žπ‘¦ PROPN cana-5245 64 24 ) ) PUNCT cana-5245 64 25 ( ( PUNCT cana-5245 64 26 2.6 2.6 NUM cana-5245 64 27 ) ) PUNCT cana-5245 64 28 𝐸(πœ€1 𝐸(πœ€1 PROPN cana-5245 64 29 2 2 NUM cana-5245 64 30 ) ) PUNCT cana-5245 64 31 = = NOUN cana-5245 65 1 [ [ X cana-5245 65 2 ( ( PUNCT cana-5245 65 3 1 1 NUM cana-5245 65 4 βˆ’ βˆ’ PROPN cana-5245 65 5 𝑓 𝑓 DET cana-5245 65 6 𝑛 𝑛 NOUN cana-5245 65 7 ) ) PUNCT cana-5245 65 8 𝐢π‘₯ 𝐢π‘₯ ADV cana-5245 65 9 2 2 NUM cana-5245 65 10 + + CCONJ cana-5245 65 11 π‘Š2(π‘˜ π‘Š2(π‘˜ VERB cana-5245 65 12 βˆ’ βˆ’ NUM cana-5245 65 13 1 1 NUM cana-5245 65 14 ) ) PUNCT cana-5245 65 15 𝑛 𝑛 DET cana-5245 65 16 𝐢π‘₯(2 𝐢π‘₯(2 NOUN cana-5245 65 17 ) ) PUNCT cana-5245 65 18 2 2 NUM cana-5245 65 19 ] ] PUNCT cana-5245 65 20 = = SYM cana-5245 65 21 𝐴 𝐴 PROPN cana-5245 65 22 ( ( PUNCT cana-5245 65 23 π‘ π‘Žπ‘¦ π‘ π‘Žπ‘¦ PROPN cana-5245 65 24 ) ) PUNCT cana-5245 65 25 ( ( PUNCT cana-5245 65 26 2.7 2.7 NUM cana-5245 65 27 ) ) PUNCT cana-5245 65 28 𝐸(πœ€0πœ€1 𝐸(πœ€0πœ€1 NOUN cana-5245 65 29 ) ) PUNCT cana-5245 66 1 = = PUNCT cana-5245 67 1 [ [ X cana-5245 67 2 ( ( PUNCT cana-5245 67 3 1 1 NUM cana-5245 67 4 βˆ’ βˆ’ PROPN cana-5245 67 5 𝑓 𝑓 PRON cana-5245 67 6 𝑛 𝑛 PROPN cana-5245 67 7 ) ) PUNCT cana-5245 67 8 πœŒπ‘¦π‘₯𝐢𝑦𝐢π‘₯ πœŒπ‘¦π‘₯𝐢𝑦𝐢π‘₯ PUNCT cana-5245 68 1 + + CCONJ cana-5245 68 2 π‘Š2(π‘˜ π‘Š2(π‘˜ VERB cana-5245 68 3 βˆ’ βˆ’ NUM cana-5245 68 4 1 1 NUM cana-5245 68 5 ) ) PUNCT cana-5245 68 6 𝑛 𝑛 DET cana-5245 68 7 πœŒπ‘¦π‘₯(2)𝐢𝑦(2)𝐢π‘₯(2 πœŒπ‘¦π‘₯(2)𝐢𝑦(2)𝐢π‘₯(2 PROPN cana-5245 68 8 ) ) PUNCT cana-5245 68 9 ] ] PUNCT cana-5245 69 1 = = SYM cana-5245 69 2 𝐢 𝐢 PROPN cana-5245 69 3 ( ( PUNCT cana-5245 69 4 π‘ π‘Žπ‘¦ π‘ π‘Žπ‘¦ PROPN cana-5245 69 5 ) ) PUNCT cana-5245 69 6 ( ( PUNCT cana-5245 69 7 2.8 2.8 NUM cana-5245 69 8 ) ) PUNCT cana-5245 70 1 𝐸(πœ€2 𝐸(πœ€2 ADJ cana-5245 70 2 2 2 NUM cana-5245 70 3 ) ) PUNCT cana-5245 70 4 = = NOUN cana-5245 71 1 [ [ X cana-5245 71 2 ( ( PUNCT cana-5245 71 3 1 1 NUM cana-5245 71 4 βˆ’ βˆ’ PROPN cana-5245 71 5 𝑓 𝑓 PRON cana-5245 71 6 𝑛 𝑛 NOUN cana-5245 71 7 ) ) PUNCT cana-5245 71 8 πΆπ‘Ÿπ‘₯ πΆπ‘Ÿπ‘₯ PROPN cana-5245 71 9 2 2 NUM cana-5245 71 10 + + CCONJ cana-5245 71 11 π‘Š2(π‘˜ π‘Š2(π‘˜ VERB cana-5245 71 12 βˆ’ βˆ’ NUM cana-5245 71 13 1 1 NUM cana-5245 71 14 ) ) PUNCT cana-5245 71 15 𝑛 𝑛 PRON cana-5245 71 16 πΆπ‘Ÿπ‘₯(2 πΆπ‘Ÿπ‘₯(2 NUM cana-5245 71 17 ) ) PUNCT cana-5245 71 18 2 2 NUM cana-5245 71 19 ] ] PUNCT cana-5245 71 20 = = SYM cana-5245 71 21 𝐷 𝐷 PROPN cana-5245 71 22 ( ( PUNCT cana-5245 71 23 π‘ π‘Žπ‘¦ π‘ π‘Žπ‘¦ PROPN cana-5245 71 24 ) ) PUNCT cana-5245 71 25 𝐸(πœ€0πœ€2 𝐸(πœ€0πœ€2 PROPN cana-5245 71 26 ) ) PUNCT cana-5245 72 1 = = PUNCT cana-5245 73 1 [ [ X cana-5245 73 2 ( ( PUNCT cana-5245 73 3 1 1 NUM cana-5245 73 4 βˆ’ βˆ’ PROPN cana-5245 73 5 𝑓 𝑓 PRON cana-5245 73 6 𝑛 𝑛 NOUN cana-5245 73 7 ) ) PUNCT cana-5245 73 8 πœŒπ‘¦π‘Ÿπ‘₯ πœŒπ‘¦π‘Ÿπ‘₯ NOUN cana-5245 73 9 πΆπ‘¦πΆπ‘Ÿπ‘₯ πΆπ‘¦πΆπ‘Ÿπ‘₯ PROPN cana-5245 73 10 + + CCONJ cana-5245 73 11 π‘Š2(π‘˜ π‘Š2(π‘˜ VERB cana-5245 73 12 βˆ’ βˆ’ NOUN cana-5245 73 13 1 1 NUM cana-5245 73 14 ) ) PUNCT cana-5245 73 15 𝑛 𝑛 DET cana-5245 73 16 πœŒπ‘¦π‘Ÿπ‘₯(2)𝐢𝑦(2)πΆπ‘Ÿπ‘₯(2 πœŒπ‘¦π‘Ÿπ‘₯(2)𝐢𝑦(2)πΆπ‘Ÿπ‘₯(2 PROPN cana-5245 73 17 ) ) PUNCT cana-5245 73 18 ] ] PUNCT cana-5245 73 19 = = PUNCT cana-5245 73 20 e e X cana-5245 73 21 ( ( PUNCT cana-5245 73 22 π‘ π‘Žπ‘¦ π‘ π‘Žπ‘¦ NOUN cana-5245 73 23 ) ) PUNCT cana-5245 73 24 communications communication NOUN cana-5245 73 25 on on ADP cana-5245 73 26 applied apply VERB cana-5245 73 27 nonlinear nonlinear ADJ cana-5245 73 28 analysis analysis NOUN cana-5245 73 29 issn issn NOUN cana-5245 73 30 : : PUNCT cana-5245 73 31 1074 1074 NUM cana-5245 73 32 - - PUNCT cana-5245 73 33 133x 133x NUM cana-5245 73 34 vol vol VERB cana-5245 73 35 32 32 NUM cana-5245 73 36 no no NOUN cana-5245 73 37 . . PUNCT cana-5245 74 1 10s 10 NOUN cana-5245 74 2 ( ( PUNCT cana-5245 74 3 2025 2025 NUM cana-5245 74 4 ) ) PUNCT cana-5245 74 5 1454 1454 NUM cana-5245 74 6 https://internationalpubls.com https://internationalpubls.com X cana-5245 74 7 𝐸(πœ€1πœ€2 𝐸(πœ€1πœ€2 PROPN cana-5245 74 8 ) ) PUNCT cana-5245 74 9 = = VERB cana-5245 75 1 [ [ X cana-5245 75 2 ( ( PUNCT cana-5245 75 3 1 1 NUM cana-5245 75 4 βˆ’ βˆ’ PROPN cana-5245 75 5 𝑓 𝑓 PRON cana-5245 75 6 𝑛 𝑛 NOUN cana-5245 75 7 ) ) PUNCT cana-5245 75 8 𝜌π‘₯π‘Ÿπ‘₯ 𝜌π‘₯π‘Ÿπ‘₯ ADV cana-5245 75 9 𝐢π‘₯πΆπ‘Ÿπ‘₯ 𝐢π‘₯πΆπ‘Ÿπ‘₯ PROPN cana-5245 75 10 + + CCONJ cana-5245 75 11 π‘Š2(π‘˜ π‘Š2(π‘˜ VERB cana-5245 75 12 βˆ’ βˆ’ NUM cana-5245 75 13 1 1 NUM cana-5245 75 14 ) ) PUNCT cana-5245 75 15 𝑛 𝑛 DET cana-5245 75 16 𝜌π‘₯π‘Ÿπ‘₯(2)𝐢π‘₯(2)πΆπ‘Ÿπ‘₯(2 𝜌π‘₯π‘Ÿπ‘₯(2)𝐢π‘₯(2)πΆπ‘Ÿπ‘₯(2 NOUN cana-5245 75 17 ) ) PUNCT cana-5245 75 18 ] ] PUNCT cana-5245 76 1 = = SYM cana-5245 76 2 f f X cana-5245 76 3 ( ( PUNCT cana-5245 76 4 π‘ π‘Žπ‘¦ π‘ π‘Žπ‘¦ PROPN cana-5245 76 5 ) ) PUNCT cana-5245 76 6 where where SCONJ cana-5245 76 7 πœŒπ‘¦π‘₯ πœŒπ‘¦π‘₯ NOUN cana-5245 76 8 = = SYM cana-5245 76 9 𝑆𝑦π‘₯/𝑆π‘₯𝑆𝑦 𝑆𝑦π‘₯/𝑆π‘₯𝑆𝑦 PROPN cana-5245 76 10 πœŒπ‘¦π‘₯(2 πœŒπ‘¦π‘₯(2 ADJ cana-5245 76 11 ) ) PUNCT cana-5245 76 12 = = SYM cana-5245 77 1 𝑆𝑦π‘₯(2 𝑆𝑦π‘₯(2 X cana-5245 77 2 ) ) PUNCT cana-5245 78 1 𝑆π‘₯(2)𝑆𝑦(2 𝑆π‘₯(2)𝑆𝑦(2 X cana-5245 78 2 ) ) PUNCT cana-5245 78 3 𝑆𝑦π‘₯ 𝑆𝑦π‘₯ NOUN cana-5245 78 4 = = SYM cana-5245 78 5 1 1 NUM cana-5245 78 6 𝑁 𝑁 PROPN cana-5245 78 7 βˆ’ βˆ’ PROPN cana-5245 78 8 1 1 NUM cana-5245 78 9 βˆ‘(𝑦𝑖 βˆ‘(𝑦𝑖 NOUN cana-5245 78 10 βˆ’ βˆ’ PROPN cana-5245 78 11 οΏ½ οΏ½ PROPN cana-5245 78 12 Μ… Μ… NOUN cana-5245 78 13 οΏ½ οΏ½ NOUN cana-5245 78 14 )(π‘₯𝑖 )(π‘₯𝑖 VERB cana-5245 78 15 βˆ’ βˆ’ PROPN cana-5245 78 16 οΏ½ οΏ½ PROPN cana-5245 78 17 Μ… Μ… NOUN cana-5245 78 18 οΏ½ οΏ½ NOUN cana-5245 78 19 ) ) PUNCT cana-5245 78 20 𝑁 𝑁 PROPN cana-5245 78 21 𝑖=1 𝑖=1 PROPN cana-5245 78 22 𝑆𝑦π‘₯(2 𝑆𝑦π‘₯(2 ADJ cana-5245 78 23 ) ) PUNCT cana-5245 78 24 = = SYM cana-5245 78 25 1 1 NUM cana-5245 78 26 𝑁2 𝑁2 NOUN cana-5245 78 27 βˆ’ βˆ’ NOUN cana-5245 78 28 1 1 NUM cana-5245 78 29 βˆ‘(𝑦𝑖 βˆ‘(𝑦𝑖 PROPN cana-5245 78 30 βˆ’ βˆ’ PROPN cana-5245 78 31 οΏ½ οΏ½ PROPN cana-5245 78 32 Μ… Μ… VERB cana-5245 78 33 οΏ½ οΏ½ NOUN cana-5245 78 34 2)(π‘₯𝑖 2)(π‘₯𝑖 NUM cana-5245 78 35 βˆ’ βˆ’ PROPN cana-5245 78 36 οΏ½ οΏ½ NOUN cana-5245 78 37 Μ… Μ… NOUN cana-5245 78 38 οΏ½ οΏ½ NOUN cana-5245 78 39 2 2 NUM cana-5245 78 40 ) ) PUNCT cana-5245 78 41 𝑁2 𝑁2 NOUN cana-5245 78 42 𝑖=1 𝑖=1 PUNCT cana-5245 78 43 πœŒπ‘¦π‘Ÿπ‘₯ πœŒπ‘¦π‘Ÿπ‘₯ NOUN cana-5245 78 44 = = SYM cana-5245 78 45 π‘†π‘¦π‘Ÿπ‘₯ π‘†π‘¦π‘Ÿπ‘₯ PROPN cana-5245 78 46 /π‘†π‘Ÿπ‘₯ /π‘†π‘Ÿπ‘₯ PUNCT cana-5245 79 1 𝑆𝑦 𝑆𝑦 PROPN cana-5245 79 2 πœŒπ‘¦π‘Ÿπ‘₯(2 πœŒπ‘¦π‘Ÿπ‘₯(2 PROPN cana-5245 79 3 ) ) PUNCT cana-5245 79 4 = = SYM cana-5245 80 1 π‘†π‘¦π‘Ÿπ‘₯(2 π‘†π‘¦π‘Ÿπ‘₯(2 PROPN cana-5245 80 2 ) ) PUNCT cana-5245 80 3 π‘†π‘Ÿπ‘₯(2)𝑆𝑦(2 π‘†π‘Ÿπ‘₯(2)𝑆𝑦(2 NOUN cana-5245 80 4 ) ) PUNCT cana-5245 80 5 π‘†π‘¦π‘Ÿπ‘₯ π‘†π‘¦π‘Ÿπ‘₯ NOUN cana-5245 80 6 = = SYM cana-5245 80 7 1 1 NUM cana-5245 80 8 𝑁 𝑁 PROPN cana-5245 80 9 βˆ’ βˆ’ PROPN cana-5245 80 10 1 1 NUM cana-5245 80 11 βˆ‘(𝑦𝑖 βˆ‘(𝑦𝑖 NOUN cana-5245 80 12 βˆ’ βˆ’ PROPN cana-5245 80 13 οΏ½ οΏ½ PROPN cana-5245 80 14 Μ… Μ… NOUN cana-5245 80 15 οΏ½ οΏ½ NOUN cana-5245 80 16 )(π‘Ÿπ‘₯(𝑖 )(π‘Ÿπ‘₯(𝑖 PUNCT cana-5245 80 17 ) ) PUNCT cana-5245 81 1 βˆ’ βˆ’ PROPN cana-5245 81 2 οΏ½ οΏ½ NOUN cana-5245 81 3 Μ… Μ… NOUN cana-5245 81 4 οΏ½ οΏ½ NOUN cana-5245 81 5 π‘₯ π‘₯ NOUN cana-5245 81 6 ) ) PUNCT cana-5245 81 7 𝑁 𝑁 PROPN cana-5245 81 8 𝑖=1 𝑖=1 PROPN cana-5245 81 9 π‘†π‘¦π‘Ÿπ‘₯(2 π‘†π‘¦π‘Ÿπ‘₯(2 PROPN cana-5245 81 10 ) ) PUNCT cana-5245 81 11 = = SYM cana-5245 81 12 1 1 NUM cana-5245 81 13 𝑁2 𝑁2 NOUN cana-5245 81 14 βˆ’ βˆ’ NOUN cana-5245 81 15 1 1 NUM cana-5245 81 16 βˆ‘(𝑦𝑖 βˆ‘(𝑦𝑖 PROPN cana-5245 81 17 βˆ’ βˆ’ PROPN cana-5245 81 18 οΏ½ οΏ½ PROPN cana-5245 81 19 Μ… Μ… NOUN cana-5245 81 20 οΏ½ οΏ½ NOUN cana-5245 81 21 2)(π‘Ÿπ‘₯(𝑖 2)(π‘Ÿπ‘₯(𝑖 NUM cana-5245 81 22 ) ) PUNCT cana-5245 81 23 βˆ’ βˆ’ PROPN cana-5245 81 24 οΏ½ οΏ½ PROPN cana-5245 81 25 Μ… Μ… NOUN cana-5245 81 26 οΏ½ οΏ½ NOUN cana-5245 81 27 π‘₯(2 π‘₯(2 PROPN cana-5245 81 28 ) ) PUNCT cana-5245 81 29 ) ) PUNCT cana-5245 82 1 𝑁2 𝑁2 NOUN cana-5245 83 1 𝑖=1 𝑖=1 PUNCT cana-5245 83 2 𝜌π‘₯π‘Ÿπ‘₯ 𝜌π‘₯π‘Ÿπ‘₯ NOUN cana-5245 83 3 = = X cana-5245 83 4 𝑆π‘₯π‘Ÿπ‘₯ 𝑆π‘₯π‘Ÿπ‘₯ NOUN cana-5245 83 5 /π‘†π‘Ÿπ‘₯ /π‘†π‘Ÿπ‘₯ PUNCT cana-5245 84 1 𝑆π‘₯ 𝑆π‘₯ VERB cana-5245 84 2 𝜌π‘₯π‘Ÿπ‘₯(2 𝜌π‘₯π‘Ÿπ‘₯(2 NOUN cana-5245 84 3 ) ) PUNCT cana-5245 84 4 = = SYM cana-5245 84 5 𝑆π‘₯π‘Ÿπ‘₯(2 𝑆π‘₯π‘Ÿπ‘₯(2 PROPN cana-5245 84 6 ) ) PUNCT cana-5245 84 7 π‘†π‘Ÿπ‘₯(2)𝑆π‘₯(2 π‘†π‘Ÿπ‘₯(2)𝑆π‘₯(2 NUM cana-5245 84 8 ) ) PUNCT cana-5245 84 9 𝑆π‘₯π‘Ÿπ‘₯ 𝑆π‘₯π‘Ÿπ‘₯ NOUN cana-5245 84 10 = = NOUN cana-5245 84 11 1 1 NUM cana-5245 85 1 𝑁 𝑁 PROPN cana-5245 85 2 βˆ’ βˆ’ PROPN cana-5245 85 3 1 1 NUM cana-5245 85 4 βˆ‘(π‘₯𝑖 βˆ‘(π‘₯𝑖 NOUN cana-5245 85 5 βˆ’ βˆ’ PROPN cana-5245 85 6 οΏ½ οΏ½ PROPN cana-5245 85 7 Μ… Μ… NOUN cana-5245 85 8 οΏ½ οΏ½ NOUN cana-5245 85 9 )(π‘Ÿπ‘₯(𝑖 )(π‘Ÿπ‘₯(𝑖 PUNCT cana-5245 85 10 ) ) PUNCT cana-5245 86 1 βˆ’ βˆ’ PROPN cana-5245 86 2 οΏ½ οΏ½ NOUN cana-5245 86 3 Μ… Μ… NOUN cana-5245 86 4 οΏ½ οΏ½ NOUN cana-5245 86 5 π‘₯ π‘₯ NOUN cana-5245 86 6 ) ) PUNCT cana-5245 86 7 𝑁 𝑁 PROPN cana-5245 86 8 𝑖=1 𝑖=1 PROPN cana-5245 86 9 𝑆π‘₯π‘Ÿπ‘₯(2 𝑆π‘₯π‘Ÿπ‘₯(2 PROPN cana-5245 86 10 ) ) PUNCT cana-5245 86 11 = = SYM cana-5245 86 12 1 1 NUM cana-5245 86 13 𝑁2 𝑁2 NOUN cana-5245 86 14 βˆ’ βˆ’ PROPN cana-5245 86 15 1 1 NUM cana-5245 86 16 βˆ‘(π‘₯𝑖 βˆ‘(π‘₯𝑖 VERB cana-5245 86 17 βˆ’ βˆ’ PROPN cana-5245 86 18 οΏ½ οΏ½ PROPN cana-5245 86 19 Μ… Μ… NOUN cana-5245 86 20 οΏ½ οΏ½ NOUN cana-5245 86 21 2)(π‘Ÿπ‘₯(𝑖 2)(π‘Ÿπ‘₯(𝑖 NUM cana-5245 86 22 ) ) PUNCT cana-5245 86 23 βˆ’ βˆ’ PROPN cana-5245 86 24 οΏ½ οΏ½ PROPN cana-5245 86 25 Μ… Μ… NOUN cana-5245 86 26 οΏ½ οΏ½ NOUN cana-5245 86 27 π‘₯(2 π‘₯(2 PROPN cana-5245 86 28 ) ) PUNCT cana-5245 86 29 ) ) PUNCT cana-5245 87 1 𝑁2 𝑁2 NOUN cana-5245 87 2 𝑖=1 𝑖=1 PROPN cana-5245 87 3 𝑅 𝑅 PROPN cana-5245 87 4 = = PUNCT cana-5245 87 5 οΏ½ οΏ½ PROPN cana-5245 87 6 Μ… Μ… NOUN cana-5245 87 7 οΏ½ οΏ½ PROPN cana-5245 87 8 οΏ½ οΏ½ NOUN cana-5245 87 9 Μ… Μ… NOUN cana-5245 87 10 οΏ½ οΏ½ NOUN cana-5245 87 11 π‘Ήβˆ— π‘Ήβˆ— NOUN cana-5245 87 12 = = SYM cana-5245 87 13 οΏ½ οΏ½ PROPN cana-5245 87 14 Μ… Μ… NOUN cana-5245 87 15 οΏ½ οΏ½ PROPN cana-5245 87 16 οΏ½ οΏ½ PROPN cana-5245 87 17 Μ… Μ… NOUN cana-5245 87 18 οΏ½ οΏ½ NOUN cana-5245 87 19 𝒙 𝒙 NOUN cana-5245 87 20 communications communication NOUN cana-5245 87 21 on on ADP cana-5245 87 22 applied apply VERB cana-5245 87 23 nonlinear nonlinear ADJ cana-5245 87 24 analysis analysis NOUN cana-5245 87 25 issn issn NOUN cana-5245 87 26 : : PUNCT cana-5245 87 27 1074 1074 NUM cana-5245 87 28 - - PUNCT cana-5245 87 29 133x 133x NUM cana-5245 87 30 vol vol VERB cana-5245 87 31 32 32 NUM cana-5245 87 32 no no NOUN cana-5245 87 33 . . PUNCT cana-5245 88 1 10s 10 NOUN cana-5245 88 2 ( ( PUNCT cana-5245 88 3 2025 2025 NUM cana-5245 88 4 ) ) PUNCT cana-5245 88 5 1455 1455 NUM cana-5245 88 6 https://internationalpubls.com https://internationalpubls.com X cana-5245 88 7 3 3 X cana-5245 88 8 . . X cana-5245 88 9 existing exist VERB cana-5245 88 10 estimator estimator NOUN cana-5245 88 11 when when SCONJ cana-5245 88 12 few few ADJ cana-5245 88 13 observations observation NOUN cana-5245 88 14 are be AUX cana-5245 88 15 missing miss VERB cana-5245 88 16 in in ADP cana-5245 88 17 the the DET cana-5245 88 18 sample sample NOUN cana-5245 88 19 . . PUNCT cana-5245 89 1 initial initial ADJ cana-5245 89 2 , , PUNCT cana-5245 89 3 estimators estimator NOUN cana-5245 89 4 for for ADP cana-5245 89 5 estimating estimate VERB cana-5245 89 6 population population NOUN cana-5245 89 7 mean mean NOUN cana-5245 89 8 οΏ½ οΏ½ PROPN cana-5245 89 9 Μ… Μ… NOUN cana-5245 89 10 οΏ½ οΏ½ NOUN cana-5245 89 11 was be AUX cana-5245 89 12 suggested suggest VERB cana-5245 89 13 by by ADP cana-5245 89 14 hansen hansen PROPN cana-5245 89 15 and and CCONJ cana-5245 89 16 hurwitz hurwitz PROPN cana-5245 89 17 ( ( PUNCT cana-5245 89 18 1946 1946 NUM cana-5245 89 19 ) ) PUNCT cana-5245 89 20 . . PUNCT cana-5245 90 1 many many ADJ cana-5245 90 2 other other ADJ cana-5245 90 3 authors author NOUN cana-5245 90 4 work work VERB cana-5245 90 5 for for ADP cana-5245 90 6 the the DET cana-5245 90 7 similar similar ADJ cana-5245 90 8 situation situation NOUN cana-5245 90 9 . . PUNCT cana-5245 91 1 here here ADV cana-5245 91 2 , , PUNCT cana-5245 91 3 we we PRON cana-5245 91 4 are be AUX cana-5245 91 5 giving give VERB cana-5245 91 6 few few ADJ cana-5245 91 7 of of ADP cana-5245 91 8 the the DET cana-5245 91 9 existing exist VERB cana-5245 91 10 estimators estimator NOUN cana-5245 91 11 for for ADP cana-5245 91 12 population population NOUN cana-5245 91 13 mean mean VERB cana-5245 91 14 οΏ½ οΏ½ PROPN cana-5245 91 15 Μ… Μ… NOUN cana-5245 91 16 οΏ½ οΏ½ NOUN cana-5245 91 17 when when SCONJ cana-5245 91 18 some some PRON cana-5245 91 19 of of ADP cana-5245 91 20 the the DET cana-5245 91 21 observations observation NOUN cana-5245 91 22 are be AUX cana-5245 91 23 missing miss VERB cana-5245 91 24 . . PUNCT cana-5245 92 1 ( ( PUNCT cana-5245 92 2 i i NOUN cana-5245 92 3 ) ) PUNCT cana-5245 92 4 rao rao PROPN cana-5245 92 5 ( ( PUNCT cana-5245 92 6 1986 1986 NUM cana-5245 92 7 ) ) PUNCT cana-5245 92 8 suggested suggest VERB cana-5245 92 9 a a DET cana-5245 92 10 ratio ratio NOUN cana-5245 92 11 estimator estimator NOUN cana-5245 92 12 for for ADP cana-5245 92 13 the the DET cana-5245 92 14 population population NOUN cana-5245 92 15 mean mean VERB cana-5245 92 16 οΏ½ οΏ½ PROPN cana-5245 92 17 Μ… Μ… NOUN cana-5245 92 18 οΏ½ οΏ½ NOUN cana-5245 92 19 of of ADP cana-5245 92 20 the the DET cana-5245 92 21 study study NOUN cana-5245 92 22 variable variable NOUN cana-5245 92 23 𝑦 𝑦 NOUN cana-5245 92 24 is be AUX cana-5245 92 25 given give VERB cana-5245 92 26 as as ADP cana-5245 92 27 π‘‘π‘Ÿ π‘‘π‘Ÿ ADJ cana-5245 92 28 βˆ— βˆ— NOUN cana-5245 92 29 = = SYM cana-5245 92 30 οΏ½ οΏ½ PROPN cana-5245 92 31 Μ… Μ… NOUN cana-5245 92 32 οΏ½ οΏ½ NOUN cana-5245 92 33 βˆ— βˆ— NOUN cana-5245 92 34 ( ( PUNCT cana-5245 92 35 οΏ½ οΏ½ NOUN cana-5245 92 36 Μ… Μ… NOUN cana-5245 92 37 οΏ½ οΏ½ PROPN cana-5245 92 38 οΏ½ οΏ½ PROPN cana-5245 92 39 Μ… Μ… NOUN cana-5245 92 40 οΏ½ οΏ½ NOUN cana-5245 92 41 βˆ— βˆ— NOUN cana-5245 92 42 ) ) PUNCT cana-5245 92 43 ( ( PUNCT cana-5245 92 44 3.1 3.1 NUM cana-5245 92 45 ) ) PUNCT cana-5245 92 46 𝐡(π‘‘π‘Ÿ 𝐡(π‘‘π‘Ÿ NOUN cana-5245 92 47 βˆ— βˆ— NOUN cana-5245 92 48 ) ) PUNCT cana-5245 93 1 = = SYM cana-5245 93 2 οΏ½ οΏ½ PROPN cana-5245 93 3 Μ… Μ… NOUN cana-5245 93 4 οΏ½ οΏ½ PROPN cana-5245 93 5 (𝐴 (𝐴 NOUN cana-5245 93 6 βˆ’ βˆ’ PROPN cana-5245 93 7 𝐢 𝐢 PROPN cana-5245 93 8 ) ) PUNCT cana-5245 93 9 𝑀𝑆𝐸(π‘‘π‘Ÿ 𝑀𝑆𝐸(π‘‘π‘Ÿ PROPN cana-5245 93 10 βˆ— βˆ— NOUN cana-5245 93 11 ) ) PUNCT cana-5245 93 12 = = SYM cana-5245 93 13 οΏ½ οΏ½ NOUN cana-5245 93 14 Μ… Μ… NOUN cana-5245 93 15 οΏ½ οΏ½ NOUN cana-5245 93 16 2(𝐡 2(𝐡 ADJ cana-5245 93 17 + + CCONJ cana-5245 93 18 𝐴 𝐴 PROPN cana-5245 93 19 βˆ’ βˆ’ PROPN cana-5245 93 20 2𝐢 2𝐢 NOUN cana-5245 93 21 ) ) PUNCT cana-5245 93 22 𝑀𝑆𝐸(π‘‘π‘Ÿ 𝑀𝑆𝐸(π‘‘π‘Ÿ PROPN cana-5245 93 23 βˆ— βˆ— NOUN cana-5245 93 24 ) ) PUNCT cana-5245 93 25 = = SYM cana-5245 93 26 οΏ½ οΏ½ NOUN cana-5245 93 27 Μ… Μ… NOUN cana-5245 93 28 οΏ½ οΏ½ NOUN cana-5245 93 29 2 2 NUM cana-5245 93 30 [ [ X cana-5245 93 31 ( ( PUNCT cana-5245 93 32 1 1 NUM cana-5245 93 33 βˆ’ βˆ’ PROPN cana-5245 93 34 𝑓 𝑓 DET cana-5245 93 35 𝑛 𝑛 NOUN cana-5245 93 36 ) ) PUNCT cana-5245 93 37 { { PUNCT cana-5245 94 1 𝐢𝑦 𝐢𝑦 PROPN cana-5245 94 2 2 2 NUM cana-5245 94 3 + + CCONJ cana-5245 95 1 𝐢π‘₯ 𝐢π‘₯ ADV cana-5245 95 2 2 2 NUM cana-5245 95 3 βˆ’ βˆ’ NOUN cana-5245 95 4 2πœŒπ‘¦π‘₯𝐢𝑦𝐢π‘₯ 2πœŒπ‘¦π‘₯𝐢𝑦𝐢π‘₯ NUM cana-5245 95 5 } } PUNCT cana-5245 96 1 + + CCONJ cana-5245 96 2 π‘Š2(π‘˜ π‘Š2(π‘˜ VERB cana-5245 96 3 βˆ’ βˆ’ NUM cana-5245 96 4 1 1 NUM cana-5245 96 5 ) ) PUNCT cana-5245 96 6 𝑛 𝑛 PROPN cana-5245 97 1 [ [ X cana-5245 97 2 𝐢𝑦(2 𝐢𝑦(2 NOUN cana-5245 97 3 ) ) PUNCT cana-5245 97 4 2 2 NUM cana-5245 97 5 + + CCONJ cana-5245 97 6 𝐢π‘₯(2 𝐢π‘₯(2 ADJ cana-5245 97 7 ) ) PUNCT cana-5245 97 8 2 2 NUM cana-5245 97 9 βˆ’ βˆ’ NOUN cana-5245 97 10 2πœŒπ‘¦π‘₯(2)𝐢𝑦(2)𝐢π‘₯(2 2πœŒπ‘¦π‘₯(2)𝐢𝑦(2)𝐢π‘₯(2 NUM cana-5245 97 11 ) ) PUNCT cana-5245 97 12 ] ] PUNCT cana-5245 97 13 ] ] X cana-5245 97 14 ( ( PUNCT cana-5245 97 15 ii ii X cana-5245 97 16 ) ) PUNCT cana-5245 97 17 khare khare PROPN cana-5245 97 18 and and CCONJ cana-5245 97 19 srivastava srivastava PROPN cana-5245 97 20 ( ( PUNCT cana-5245 97 21 1993 1993 NUM cana-5245 97 22 ) ) PUNCT cana-5245 97 23 suggested suggest VERB cana-5245 97 24 a a DET cana-5245 97 25 product product NOUN cana-5245 97 26 estimator estimator NOUN cana-5245 97 27 for for ADP cana-5245 97 28 the the DET cana-5245 97 29 population population NOUN cana-5245 97 30 mean mean VERB cana-5245 97 31 οΏ½ οΏ½ PROPN cana-5245 97 32 Μ… Μ… NOUN cana-5245 97 33 οΏ½ οΏ½ NOUN cana-5245 97 34 of of ADP cana-5245 97 35 the the DET cana-5245 97 36 study study NOUN cana-5245 97 37 variable variable NOUN cana-5245 97 38 π’š π’š PROPN cana-5245 97 39 is be AUX cana-5245 97 40 given give VERB cana-5245 97 41 as as ADP cana-5245 97 42 π‘‘π‘˜π‘  π‘‘π‘˜π‘  NOUN cana-5245 97 43 βˆ— βˆ— NOUN cana-5245 97 44 = = SYM cana-5245 97 45 οΏ½ οΏ½ PROPN cana-5245 97 46 Μ… Μ… NOUN cana-5245 97 47 οΏ½ οΏ½ NOUN cana-5245 97 48 βˆ— βˆ— NOUN cana-5245 97 49 ( ( PUNCT cana-5245 97 50 οΏ½ οΏ½ NOUN cana-5245 97 51 Μ… Μ… NOUN cana-5245 97 52 οΏ½ οΏ½ NOUN cana-5245 97 53 βˆ— βˆ— NOUN cana-5245 97 54 οΏ½ οΏ½ NOUN cana-5245 97 55 Μ… Μ… NOUN cana-5245 97 56 οΏ½ οΏ½ PROPN cana-5245 97 57 ) ) PUNCT cana-5245 97 58 ( ( PUNCT cana-5245 97 59 3.2 3.2 NUM cana-5245 97 60 ) ) PUNCT cana-5245 97 61 𝐡(π‘‘π‘˜π‘  𝐡(π‘‘π‘˜π‘  NUM cana-5245 97 62 βˆ— βˆ— NOUN cana-5245 97 63 ) ) PUNCT cana-5245 98 1 = = SYM cana-5245 98 2 οΏ½ οΏ½ NOUN cana-5245 98 3 Μ… Μ… NOUN cana-5245 98 4 οΏ½ οΏ½ PROPN cana-5245 98 5 𝐢 𝐢 PROPN cana-5245 98 6 𝑀𝑆𝐸(π‘‘π‘˜π‘  𝑀𝑆𝐸(π‘‘π‘˜π‘  PROPN cana-5245 98 7 βˆ— βˆ— X cana-5245 98 8 ) ) PUNCT cana-5245 99 1 = = SYM cana-5245 99 2 οΏ½ οΏ½ NOUN cana-5245 99 3 Μ… Μ… NOUN cana-5245 99 4 οΏ½ οΏ½ NOUN cana-5245 99 5 2(𝐴 2(𝐴 NOUN cana-5245 99 6 + + CCONJ cana-5245 99 7 𝐡 𝐡 NOUN cana-5245 99 8 + + CCONJ cana-5245 99 9 2𝐢 2𝐢 NOUN cana-5245 99 10 ) ) PUNCT cana-5245 99 11 𝑀𝑆𝐸(π‘‘π‘˜π‘  𝑀𝑆𝐸(π‘‘π‘˜π‘  PROPN cana-5245 99 12 βˆ— βˆ— X cana-5245 99 13 ) ) PUNCT cana-5245 99 14 = = SYM cana-5245 99 15 οΏ½ οΏ½ NOUN cana-5245 99 16 Μ… Μ… NOUN cana-5245 99 17 οΏ½ οΏ½ NOUN cana-5245 99 18 2 2 NUM cana-5245 99 19 [ [ X cana-5245 99 20 ( ( PUNCT cana-5245 99 21 1 1 NUM cana-5245 99 22 βˆ’ βˆ’ PROPN cana-5245 99 23 𝑓 𝑓 DET cana-5245 99 24 𝑛 𝑛 NOUN cana-5245 99 25 ) ) PUNCT cana-5245 99 26 { { PUNCT cana-5245 100 1 𝐢𝑦 𝐢𝑦 PROPN cana-5245 100 2 2 2 NUM cana-5245 100 3 + + CCONJ cana-5245 100 4 𝐢π‘₯ 𝐢π‘₯ ADV cana-5245 100 5 2 2 NUM cana-5245 100 6 + + NUM cana-5245 100 7 2πœŒπ‘¦π‘₯𝐢𝑦𝐢π‘₯ 2πœŒπ‘¦π‘₯𝐢𝑦𝐢π‘₯ NUM cana-5245 100 8 } } PUNCT cana-5245 100 9 + + CCONJ cana-5245 100 10 π‘Š2(π‘˜ π‘Š2(π‘˜ VERB cana-5245 100 11 βˆ’ βˆ’ NUM cana-5245 100 12 1 1 NUM cana-5245 100 13 ) ) PUNCT cana-5245 100 14 𝑛 𝑛 PROPN cana-5245 101 1 [ [ X cana-5245 101 2 𝐢𝑦(2 𝐢𝑦(2 NOUN cana-5245 101 3 ) ) PUNCT cana-5245 101 4 2 2 NUM cana-5245 101 5 + + CCONJ cana-5245 101 6 𝐢π‘₯(2 𝐢π‘₯(2 ADJ cana-5245 101 7 ) ) PUNCT cana-5245 101 8 2 2 NUM cana-5245 101 9 + + NUM cana-5245 101 10 2πœŒπ‘¦π‘₯(2)𝐢𝑦(2)𝐢π‘₯(2 2πœŒπ‘¦π‘₯(2)𝐢𝑦(2)𝐢π‘₯(2 NUM cana-5245 101 11 ) ) PUNCT cana-5245 101 12 ] ] PUNCT cana-5245 101 13 ] ] X cana-5245 101 14 ( ( PUNCT cana-5245 101 15 iii iii X cana-5245 101 16 ) ) PUNCT cana-5245 101 17 singh singh PROPN cana-5245 101 18 et et PROPN cana-5245 101 19 . . PUNCT cana-5245 102 1 al al PROPN cana-5245 102 2 . . PROPN cana-5245 103 1 ( ( PUNCT cana-5245 103 2 2008 2008 NUM cana-5245 103 3 ) ) PUNCT cana-5245 103 4 suggested suggest VERB cana-5245 103 5 an an DET cana-5245 103 6 exponential exponential ADJ cana-5245 103 7 ratio ratio NOUN cana-5245 103 8 type type NOUN cana-5245 103 9 estimators estimator NOUN cana-5245 103 10 for for ADP cana-5245 103 11 the the DET cana-5245 103 12 population population NOUN cana-5245 103 13 mean mean VERB cana-5245 103 14 οΏ½ οΏ½ PROPN cana-5245 103 15 Μ… Μ… NOUN cana-5245 103 16 οΏ½ οΏ½ NOUN cana-5245 103 17 of of ADP cana-5245 103 18 the the DET cana-5245 103 19 study study NOUN cana-5245 103 20 variable variable NOUN cana-5245 103 21 𝑦 𝑦 NOUN cana-5245 103 22 are be AUX cana-5245 103 23 π‘‘π‘’π‘Ÿ π‘‘π‘’π‘Ÿ NOUN cana-5245 103 24 βˆ— βˆ— NOUN cana-5245 103 25 = = SYM cana-5245 103 26 οΏ½ οΏ½ PROPN cana-5245 103 27 Μ… Μ… NOUN cana-5245 103 28 οΏ½ οΏ½ NOUN cana-5245 103 29 βˆ—π‘’π‘₯𝑝 βˆ—π‘’π‘₯𝑝 PUNCT cana-5245 103 30 [ [ PUNCT cana-5245 103 31 οΏ½ οΏ½ NOUN cana-5245 103 32 Μ… Μ… NOUN cana-5245 103 33 οΏ½ οΏ½ PROPN cana-5245 103 34 βˆ’ βˆ’ PROPN cana-5245 103 35 οΏ½ οΏ½ NOUN cana-5245 103 36 Μ… Μ… NOUN cana-5245 103 37 οΏ½ οΏ½ NOUN cana-5245 103 38 βˆ— βˆ— NOUN cana-5245 103 39 οΏ½ οΏ½ NOUN cana-5245 103 40 Μ… Μ… NOUN cana-5245 103 41 οΏ½ οΏ½ PROPN cana-5245 103 42 + + CCONJ cana-5245 103 43 οΏ½ οΏ½ NOUN cana-5245 103 44 Μ… Μ… NOUN cana-5245 103 45 οΏ½ οΏ½ NOUN cana-5245 103 46 βˆ— βˆ— NOUN cana-5245 103 47 ] ] PUNCT cana-5245 103 48 ( ( PUNCT cana-5245 103 49 3.3 3.3 NUM cana-5245 103 50 ) ) PUNCT cana-5245 103 51 𝐡(π‘‘π‘’π‘Ÿ 𝐡(π‘‘π‘’π‘Ÿ NOUN cana-5245 103 52 βˆ— βˆ— NOUN cana-5245 103 53 ) ) PUNCT cana-5245 104 1 = = SYM cana-5245 104 2 οΏ½ οΏ½ NOUN cana-5245 104 3 Μ… Μ… NOUN cana-5245 104 4 οΏ½ οΏ½ NUM cana-5245 104 5 8 8 NUM cana-5245 104 6 ( ( PUNCT cana-5245 104 7 3𝐴 3𝐴 NOUN cana-5245 104 8 βˆ’ βˆ’ PROPN cana-5245 104 9 4𝐢 4𝐢 NOUN cana-5245 104 10 ) ) PUNCT cana-5245 104 11 𝑀𝑆𝐸(π‘‘π‘’π‘Ÿ 𝑀𝑆𝐸(π‘‘π‘’π‘Ÿ PROPN cana-5245 104 12 βˆ— βˆ— NOUN cana-5245 104 13 ) ) PUNCT cana-5245 104 14 = = SYM cana-5245 104 15 οΏ½ οΏ½ NOUN cana-5245 104 16 Μ… Μ… NOUN cana-5245 104 17 οΏ½ οΏ½ NOUN cana-5245 104 18 2 2 NUM cana-5245 104 19 ( ( PUNCT cana-5245 104 20 𝐡 𝐡 NOUN cana-5245 104 21 + + NOUN cana-5245 104 22 𝐴 𝐴 PROPN cana-5245 104 23 4 4 NUM cana-5245 104 24 βˆ’ βˆ’ PROPN cana-5245 104 25 𝐢 𝐢 PROPN cana-5245 104 26 ) ) PUNCT cana-5245 104 27 𝑀𝑆𝐸(π‘‘π‘’π‘Ÿ 𝑀𝑆𝐸(π‘‘π‘’π‘Ÿ PROPN cana-5245 104 28 βˆ— βˆ— NOUN cana-5245 104 29 ) ) PUNCT cana-5245 104 30 = = SYM cana-5245 104 31 οΏ½ οΏ½ NOUN cana-5245 104 32 Μ… Μ… NOUN cana-5245 104 33 οΏ½ οΏ½ NOUN cana-5245 104 34 2 2 NUM cana-5245 104 35 [ [ X cana-5245 104 36 ( ( PUNCT cana-5245 104 37 1 1 NUM cana-5245 104 38 βˆ’ βˆ’ PROPN cana-5245 104 39 𝑓 𝑓 DET cana-5245 104 40 𝑛 𝑛 NOUN cana-5245 104 41 ) ) PUNCT cana-5245 104 42 { { PUNCT cana-5245 104 43 𝐢𝑦 𝐢𝑦 PROPN cana-5245 104 44 2 2 NUM cana-5245 104 45 + + CCONJ cana-5245 104 46 𝐢π‘₯ 𝐢π‘₯ ADV cana-5245 104 47 2 2 NUM cana-5245 104 48 4 4 NUM cana-5245 104 49 βˆ’ βˆ’ NUM cana-5245 104 50 πœŒπ‘¦π‘₯𝐢𝑦𝐢π‘₯ πœŒπ‘¦π‘₯𝐢𝑦𝐢π‘₯ NUM cana-5245 104 51 } } PUNCT cana-5245 104 52 + + CCONJ cana-5245 104 53 π‘Š2(π‘˜ π‘Š2(π‘˜ VERB cana-5245 104 54 βˆ’ βˆ’ NUM cana-5245 104 55 1 1 NUM cana-5245 104 56 ) ) PUNCT cana-5245 104 57 𝑛 𝑛 PROPN cana-5245 105 1 [ [ X cana-5245 105 2 𝐢𝑦(2 𝐢𝑦(2 NOUN cana-5245 105 3 ) ) PUNCT cana-5245 105 4 2 2 NUM cana-5245 105 5 + + CCONJ cana-5245 105 6 𝐢π‘₯(2 𝐢π‘₯(2 ADJ cana-5245 105 7 ) ) PUNCT cana-5245 105 8 2 2 NUM cana-5245 105 9 4 4 NUM cana-5245 105 10 βˆ’ βˆ’ NOUN cana-5245 105 11 πœŒπ‘¦π‘₯(2)𝐢𝑦(2)𝐢π‘₯(2 πœŒπ‘¦π‘₯(2)𝐢𝑦(2)𝐢π‘₯(2 PROPN cana-5245 105 12 ) ) PUNCT cana-5245 105 13 ] ] PUNCT cana-5245 105 14 ] ] X cana-5245 105 15 communications communication NOUN cana-5245 105 16 on on ADP cana-5245 105 17 applied apply VERB cana-5245 105 18 nonlinear nonlinear ADJ cana-5245 105 19 analysis analysis NOUN cana-5245 105 20 issn issn NOUN cana-5245 105 21 : : PUNCT cana-5245 105 22 1074 1074 NUM cana-5245 105 23 - - PUNCT cana-5245 105 24 133x 133x NUM cana-5245 105 25 vol vol VERB cana-5245 105 26 32 32 NUM cana-5245 105 27 no no NOUN cana-5245 105 28 . . PUNCT cana-5245 106 1 10s 10 NOUN cana-5245 106 2 ( ( PUNCT cana-5245 106 3 2025 2025 NUM cana-5245 106 4 ) ) PUNCT cana-5245 106 5 1456 1456 NUM cana-5245 106 6 https://internationalpubls.com https://internationalpubls.com X cana-5245 106 7 ( ( PUNCT cana-5245 106 8 iv iv X cana-5245 106 9 ) ) PUNCT cana-5245 106 10 singh singh PROPN cana-5245 106 11 et et PROPN cana-5245 106 12 . . PUNCT cana-5245 107 1 al al PROPN cana-5245 107 2 . . PROPN cana-5245 108 1 ( ( PUNCT cana-5245 108 2 2008 2008 NUM cana-5245 108 3 ) ) PUNCT cana-5245 108 4 suggested suggest VERB cana-5245 108 5 an an DET cana-5245 108 6 exponential exponential ADJ cana-5245 108 7 product product NOUN cana-5245 108 8 type type NOUN cana-5245 108 9 estimators estimator NOUN cana-5245 108 10 for for ADP cana-5245 108 11 the the DET cana-5245 108 12 population population NOUN cana-5245 108 13 mean mean VERB cana-5245 108 14 οΏ½ οΏ½ PROPN cana-5245 108 15 Μ… Μ… NOUN cana-5245 108 16 οΏ½ οΏ½ NOUN cana-5245 108 17 of of ADP cana-5245 108 18 the the DET cana-5245 108 19 study study NOUN cana-5245 108 20 variable variable NOUN cana-5245 108 21 𝑦 𝑦 NOUN cana-5245 108 22 are be AUX cana-5245 108 23 𝑑𝑒𝑝 𝑑𝑒𝑝 ADJ cana-5245 108 24 βˆ— βˆ— NOUN cana-5245 108 25 = = SYM cana-5245 108 26 οΏ½ οΏ½ PROPN cana-5245 108 27 Μ… Μ… NOUN cana-5245 108 28 οΏ½ οΏ½ NOUN cana-5245 108 29 βˆ—π‘’π‘₯𝑝 βˆ—π‘’π‘₯𝑝 PUNCT cana-5245 108 30 [ [ PUNCT cana-5245 108 31 οΏ½ οΏ½ NOUN cana-5245 108 32 Μ… Μ… NOUN cana-5245 108 33 οΏ½ οΏ½ NOUN cana-5245 108 34 βˆ— βˆ— NOUN cana-5245 108 35 βˆ’ βˆ’ PROPN cana-5245 108 36 οΏ½ οΏ½ PROPN cana-5245 108 37 Μ… Μ… NOUN cana-5245 108 38 οΏ½ οΏ½ PROPN cana-5245 108 39 οΏ½ οΏ½ PROPN cana-5245 108 40 Μ… Μ… NOUN cana-5245 108 41 οΏ½ οΏ½ NOUN cana-5245 108 42 βˆ— βˆ— NOUN cana-5245 108 43 + + CCONJ cana-5245 108 44 οΏ½ οΏ½ NOUN cana-5245 108 45 Μ… Μ… NOUN cana-5245 108 46 οΏ½ οΏ½ NOUN cana-5245 108 47 ] ] PUNCT cana-5245 108 48 ( ( PUNCT cana-5245 108 49 3.4 3.4 NUM cana-5245 108 50 ) ) PUNCT cana-5245 108 51 𝐡(𝑑𝑒𝑝 𝐡(𝑑𝑒𝑝 NOUN cana-5245 108 52 βˆ— βˆ— NOUN cana-5245 108 53 ) ) PUNCT cana-5245 109 1 = = SYM cana-5245 109 2 οΏ½ οΏ½ NOUN cana-5245 109 3 Μ… Μ… NOUN cana-5245 109 4 οΏ½ οΏ½ NUM cana-5245 109 5 8 8 NUM cana-5245 109 6 ( ( PUNCT cana-5245 109 7 4𝐢 4𝐢 NOUN cana-5245 109 8 βˆ’ βˆ’ PROPN cana-5245 109 9 𝐴 𝐴 PROPN cana-5245 109 10 ) ) PUNCT cana-5245 109 11 𝑀𝑆𝐸(𝑑𝑒𝑝 𝑀𝑆𝐸(𝑑𝑒𝑝 PROPN cana-5245 109 12 βˆ— βˆ— NOUN cana-5245 109 13 ) ) PUNCT cana-5245 109 14 = = SYM cana-5245 109 15 οΏ½ οΏ½ NOUN cana-5245 109 16 Μ… Μ… NOUN cana-5245 109 17 οΏ½ οΏ½ NOUN cana-5245 109 18 2 2 NUM cana-5245 109 19 ( ( PUNCT cana-5245 109 20 𝐡 𝐡 NOUN cana-5245 109 21 + + NOUN cana-5245 109 22 𝐴 𝐴 PROPN cana-5245 109 23 4 4 NUM cana-5245 109 24 + + CCONJ cana-5245 109 25 𝐢 𝐢 PROPN cana-5245 109 26 ) ) PUNCT cana-5245 109 27 𝑀𝑆𝐸(𝑑𝑒𝑝 𝑀𝑆𝐸(𝑑𝑒𝑝 PROPN cana-5245 109 28 βˆ— βˆ— NOUN cana-5245 109 29 ) ) PUNCT cana-5245 109 30 = = SYM cana-5245 109 31 οΏ½ οΏ½ NOUN cana-5245 109 32 Μ… Μ… NOUN cana-5245 109 33 οΏ½ οΏ½ NOUN cana-5245 109 34 2 2 NUM cana-5245 109 35 [ [ X cana-5245 109 36 ( ( PUNCT cana-5245 109 37 1 1 NUM cana-5245 109 38 βˆ’ βˆ’ PROPN cana-5245 109 39 𝑓 𝑓 DET cana-5245 109 40 𝑛 𝑛 NOUN cana-5245 109 41 ) ) PUNCT cana-5245 109 42 { { PUNCT cana-5245 109 43 𝐢𝑦 𝐢𝑦 PROPN cana-5245 109 44 2 2 NUM cana-5245 109 45 + + CCONJ cana-5245 109 46 𝐢π‘₯ 𝐢π‘₯ ADV cana-5245 109 47 2 2 NUM cana-5245 109 48 4 4 NUM cana-5245 109 49 + + CCONJ cana-5245 109 50 πœŒπ‘¦π‘₯𝐢𝑦𝐢π‘₯ πœŒπ‘¦π‘₯𝐢𝑦𝐢π‘₯ NUM cana-5245 109 51 } } PUNCT cana-5245 109 52 + + CCONJ cana-5245 109 53 π‘Š2(π‘˜ π‘Š2(π‘˜ VERB cana-5245 109 54 βˆ’ βˆ’ NUM cana-5245 109 55 1 1 NUM cana-5245 109 56 ) ) PUNCT cana-5245 109 57 𝑛 𝑛 PROPN cana-5245 110 1 [ [ X cana-5245 110 2 𝐢𝑦(2 𝐢𝑦(2 NOUN cana-5245 110 3 ) ) PUNCT cana-5245 110 4 2 2 NUM cana-5245 110 5 + + CCONJ cana-5245 110 6 𝐢π‘₯(2 𝐢π‘₯(2 ADJ cana-5245 110 7 ) ) PUNCT cana-5245 110 8 2 2 NUM cana-5245 110 9 4 4 NUM cana-5245 110 10 + + SYM cana-5245 110 11 πœŒπ‘¦π‘₯(2)𝐢𝑦(2)𝐢π‘₯(2 πœŒπ‘¦π‘₯(2)𝐢𝑦(2)𝐢π‘₯(2 PROPN cana-5245 110 12 ) ) PUNCT cana-5245 110 13 ] ] PUNCT cana-5245 110 14 ] ] X cana-5245 110 15 ( ( PUNCT cana-5245 110 16 v v NOUN cana-5245 110 17 ) ) PUNCT cana-5245 110 18 sunil sunil PROPN cana-5245 110 19 kumar kumar PROPN cana-5245 110 20 and and CCONJ cana-5245 110 21 sandeep sandeep PROPN cana-5245 110 22 bhougal bhougal PROPN cana-5245 110 23 ( ( PUNCT cana-5245 110 24 2011 2011 NUM cana-5245 110 25 ) ) PUNCT cana-5245 110 26 suggested suggest VERB cana-5245 110 27 a a DET cana-5245 110 28 modified modify VERB cana-5245 110 29 ratio ratio NOUN cana-5245 110 30 - - PUNCT cana-5245 110 31 product product NOUN cana-5245 110 32 type type NOUN cana-5245 110 33 exponential exponential ADJ cana-5245 110 34 estimator estimator NOUN cana-5245 110 35 for for ADP cana-5245 110 36 the the DET cana-5245 110 37 population population NOUN cana-5245 110 38 mean mean VERB cana-5245 110 39 οΏ½ οΏ½ PROPN cana-5245 110 40 Μ… Μ… NOUN cana-5245 110 41 οΏ½ οΏ½ NOUN cana-5245 110 42 of of ADP cana-5245 110 43 the the DET cana-5245 110 44 study study NOUN cana-5245 110 45 variable variable NOUN cana-5245 111 1 𝑦 𝑦 PRON cana-5245 111 2 𝑑𝑠𝑠 𝑑𝑠𝑠 NOUN cana-5245 111 3 βˆ— βˆ— NOUN cana-5245 111 4 = = SYM cana-5245 111 5 οΏ½ οΏ½ PROPN cana-5245 111 6 Μ… Μ… NOUN cana-5245 111 7 οΏ½ οΏ½ NOUN cana-5245 111 8 βˆ— βˆ— NOUN cana-5245 111 9 { { PUNCT cana-5245 111 10 𝛼𝑒π‘₯𝑝 𝛼𝑒π‘₯𝑝 PROPN cana-5245 111 11 ( ( PUNCT cana-5245 111 12 οΏ½ οΏ½ NOUN cana-5245 111 13 Μ… Μ… NOUN cana-5245 111 14 οΏ½ οΏ½ PROPN cana-5245 111 15 βˆ’ βˆ’ ADP cana-5245 111 16 οΏ½ οΏ½ NOUN cana-5245 111 17 Μ… Μ… NOUN cana-5245 111 18 οΏ½ οΏ½ NOUN cana-5245 111 19 βˆ— βˆ— NOUN cana-5245 111 20 οΏ½ οΏ½ NOUN cana-5245 111 21 Μ… Μ… NOUN cana-5245 111 22 οΏ½ οΏ½ PROPN cana-5245 111 23 + + CCONJ cana-5245 111 24 οΏ½ οΏ½ NOUN cana-5245 111 25 Μ… Μ… NOUN cana-5245 111 26 οΏ½ οΏ½ NOUN cana-5245 111 27 βˆ— βˆ— NOUN cana-5245 111 28 ) ) PUNCT cana-5245 112 1 + + CCONJ cana-5245 112 2 ( ( PUNCT cana-5245 112 3 1 1 NUM cana-5245 112 4 βˆ’ βˆ’ PROPN cana-5245 112 5 𝛼)𝑒π‘₯𝑝 𝛼)𝑒π‘₯𝑝 PROPN cana-5245 112 6 ( ( PUNCT cana-5245 112 7 οΏ½ οΏ½ NOUN cana-5245 112 8 Μ… Μ… NOUN cana-5245 112 9 οΏ½ οΏ½ NOUN cana-5245 112 10 βˆ— βˆ— NOUN cana-5245 112 11 βˆ’ βˆ’ PROPN cana-5245 112 12 οΏ½ οΏ½ PROPN cana-5245 112 13 Μ… Μ… NOUN cana-5245 112 14 οΏ½ οΏ½ PROPN cana-5245 112 15 οΏ½ οΏ½ PROPN cana-5245 112 16 Μ… Μ… NOUN cana-5245 112 17 οΏ½ οΏ½ NOUN cana-5245 112 18 βˆ— βˆ— NOUN cana-5245 112 19 + + CCONJ cana-5245 112 20 οΏ½ οΏ½ NOUN cana-5245 112 21 Μ… Μ… NOUN cana-5245 112 22 οΏ½ οΏ½ NOUN cana-5245 112 23 ) ) PUNCT cana-5245 112 24 } } PUNCT cana-5245 112 25 the the DET cana-5245 112 26 corrected correct VERB cana-5245 112 27 bias bias NOUN cana-5245 112 28 of of ADP cana-5245 112 29 this this DET cana-5245 112 30 estimator estimator NOUN cana-5245 112 31 is be AUX cana-5245 112 32 𝐡(𝑑𝑠𝑠 𝐡(𝑑𝑠𝑠 ADJ cana-5245 112 33 βˆ— βˆ— NOUN cana-5245 112 34 ) ) PUNCT cana-5245 113 1 = = SYM cana-5245 113 2 ( ( PUNCT cana-5245 113 3 𝐴 𝐴 PROPN cana-5245 113 4 8 8 NUM cana-5245 113 5 βˆ’ βˆ’ PROPN cana-5245 113 6 𝐢 𝐢 PROPN cana-5245 113 7 2 2 NUM cana-5245 113 8 ) ) PUNCT cana-5245 113 9 ( ( PUNCT cana-5245 113 10 4𝛼 4𝛼 NOUN cana-5245 113 11 βˆ’ βˆ’ NOUN cana-5245 113 12 1 1 X cana-5245 113 13 ) ) PUNCT cana-5245 113 14 𝑀𝑆𝐸(𝑑𝑠𝑠 𝑀𝑆𝐸(𝑑𝑠𝑠 PROPN cana-5245 113 15 βˆ— βˆ— NOUN cana-5245 113 16 ) ) PUNCT cana-5245 113 17 = = SYM cana-5245 113 18 οΏ½ οΏ½ NOUN cana-5245 113 19 Μ… Μ… NOUN cana-5245 113 20 οΏ½ οΏ½ NOUN cana-5245 113 21 2 2 NUM cana-5245 113 22 [ [ X cana-5245 113 23 𝐡 𝐡 NOUN cana-5245 113 24 βˆ’ βˆ’ PROPN cana-5245 113 25 𝐢2 𝐢2 PROPN cana-5245 113 26 𝐴 𝐴 PROPN cana-5245 113 27 ] ] PUNCT cana-5245 113 28 4 4 X cana-5245 113 29 . . PUNCT cana-5245 113 30 proposed propose VERB cana-5245 113 31 estimator estimator NOUN cana-5245 113 32 οΏ½ οΏ½ PROPN cana-5245 113 33 Μ… Μ… NOUN cana-5245 113 34 οΏ½ οΏ½ NOUN cana-5245 113 35 βˆ— βˆ— NOUN cana-5245 113 36 , , PUNCT cana-5245 113 37 οΏ½ οΏ½ NOUN cana-5245 113 38 Μ… Μ… NOUN cana-5245 113 39 οΏ½ οΏ½ NOUN cana-5245 113 40 βˆ— βˆ— NOUN cana-5245 113 41 , , PUNCT cana-5245 113 42 οΏ½ οΏ½ NOUN cana-5245 113 43 Μ… Μ… NOUN cana-5245 113 44 οΏ½ οΏ½ PROPN cana-5245 113 45 π‘Žπ‘›π‘‘ π‘Žπ‘›π‘‘ ADJ cana-5245 113 46 οΏ½ οΏ½ PROPN cana-5245 113 47 Μ… Μ… NOUN cana-5245 113 48 οΏ½ οΏ½ NOUN cana-5245 113 49 π‘₯ π‘₯ NOUN cana-5245 113 50 are be AUX cana-5245 113 51 used use VERB cana-5245 113 52 . . PUNCT cana-5245 114 1 the the DET cana-5245 114 2 non non ADJ cana-5245 114 3 - - ADJ cana-5245 114 4 response response NOUN cana-5245 114 5 occurs occur VERB cana-5245 114 6 on on ADP cana-5245 114 7 both both DET cana-5245 114 8 study study NOUN cana-5245 114 9 variable variable NOUN cana-5245 114 10 𝑦 𝑦 NOUN cana-5245 114 11 as as ADV cana-5245 114 12 well well ADV cana-5245 114 13 as as ADP cana-5245 114 14 auxiliary auxiliary ADJ cana-5245 114 15 variable variable PROPN cana-5245 114 16 π‘₯ π‘₯ PROPN cana-5245 114 17 , , PUNCT cana-5245 114 18 the the DET cana-5245 114 19 population population NOUN cana-5245 114 20 mean mean VERB cana-5245 114 21 οΏ½ οΏ½ PROPN cana-5245 114 22 Μ… Μ… NOUN cana-5245 114 23 οΏ½ οΏ½ PROPN cana-5245 114 24 of of ADP cana-5245 114 25 the the DET cana-5245 114 26 auxiliary auxiliary ADJ cana-5245 114 27 variable variable NOUN cana-5245 114 28 and and CCONJ cana-5245 114 29 the the DET cana-5245 114 30 rank rank NOUN cana-5245 114 31 of of ADP cana-5245 114 32 the the DET cana-5245 114 33 auxiliary auxiliary ADJ cana-5245 114 34 variable variable NOUN cana-5245 114 35 π‘₯ π‘₯ PROPN cana-5245 114 36 are be AUX cana-5245 114 37 known know VERB cana-5245 114 38 . . PUNCT cana-5245 115 1 in in ADP cana-5245 115 2 this this PRON cana-5245 115 3 , , PUNCT cana-5245 115 4 we we PRON cana-5245 115 5 proposed propose VERB cana-5245 115 6 a a DET cana-5245 115 7 difference difference NOUN cana-5245 115 8 type type NOUN cana-5245 115 9 estimator estimator NOUN cana-5245 115 10 and and CCONJ cana-5245 115 11 the the DET cana-5245 115 12 estimator estimator NOUN cana-5245 115 13 is be AUX cana-5245 115 14 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ NOUN cana-5245 115 15 βˆ— βˆ— NOUN cana-5245 115 16 = = SYM cana-5245 115 17 πœ”1 πœ”1 ADJ cana-5245 115 18 οΏ½ οΏ½ SYM cana-5245 115 19 Μ… Μ… NOUN cana-5245 115 20 οΏ½ οΏ½ NOUN cana-5245 115 21 βˆ— βˆ— NOUN cana-5245 115 22 + + CCONJ cana-5245 115 23 πœ”2( πœ”2( PROPN cana-5245 115 24 οΏ½ οΏ½ NOUN cana-5245 115 25 Μ… Μ… NOUN cana-5245 115 26 οΏ½ οΏ½ PROPN cana-5245 115 27 βˆ’ βˆ’ PROPN cana-5245 115 28 οΏ½ οΏ½ NOUN cana-5245 115 29 Μ… Μ… NOUN cana-5245 115 30 οΏ½ οΏ½ NOUN cana-5245 115 31 βˆ— βˆ— NOUN cana-5245 115 32 ) ) PUNCT cana-5245 116 1 + + NUM cana-5245 116 2 πœ”3( πœ”3( NOUN cana-5245 116 3 οΏ½ οΏ½ NOUN cana-5245 116 4 Μ… Μ… NOUN cana-5245 116 5 οΏ½ οΏ½ NOUN cana-5245 116 6 π‘₯ π‘₯ PRON cana-5245 116 7 βˆ’ βˆ’ PROPN cana-5245 116 8 οΏ½ οΏ½ NOUN cana-5245 116 9 Μ… Μ… NOUN cana-5245 116 10 οΏ½ οΏ½ NOUN cana-5245 116 11 π‘₯ π‘₯ NOUN cana-5245 116 12 βˆ— βˆ— NOUN cana-5245 116 13 ) ) PUNCT cana-5245 116 14 ( ( PUNCT cana-5245 116 15 4.1 4.1 NUM cana-5245 116 16 ) ) PUNCT cana-5245 116 17 where where SCONJ cana-5245 116 18 πœ”1 πœ”1 ADJ cana-5245 116 19 , , PUNCT cana-5245 116 20 πœ”2 πœ”2 PROPN cana-5245 116 21 & & CCONJ cana-5245 116 22 πœ”3 πœ”3 NOUN cana-5245 116 23 is be AUX cana-5245 116 24 a a DET cana-5245 116 25 real real ADV cana-5245 116 26 constant constant ADJ cana-5245 116 27 to to PART cana-5245 116 28 be be AUX cana-5245 116 29 determined determine VERB cana-5245 116 30 such such ADJ cana-5245 116 31 that that SCONJ cana-5245 116 32 the the DET cana-5245 116 33 mse mse NOUN cana-5245 116 34 of of ADP cana-5245 116 35 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ PROPN cana-5245 116 36 βˆ— βˆ— NOUN cana-5245 116 37 is be AUX cana-5245 116 38 minimum minimum ADJ cana-5245 116 39 . . PUNCT cana-5245 117 1 now now ADV cana-5245 117 2 , , PUNCT cana-5245 117 3 expressing express VERB cana-5245 117 4 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ NOUN cana-5245 117 5 βˆ— βˆ— NOUN cana-5245 117 6 in in ADP cana-5245 117 7 terms term NOUN cana-5245 117 8 of of ADP cana-5245 117 9 πœ€β€²π‘  πœ€β€²π‘  PRON cana-5245 117 10 we we PRON cana-5245 117 11 have have VERB cana-5245 117 12 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ NOUN cana-5245 117 13 βˆ— βˆ— NOUN cana-5245 117 14 = = SYM cana-5245 117 15 πœ”1 πœ”1 ADJ cana-5245 117 16 οΏ½ οΏ½ SYM cana-5245 117 17 Μ… Μ… NOUN cana-5245 117 18 οΏ½ οΏ½ NOUN cana-5245 117 19 (1 (1 NOUN cana-5245 117 20 + + CCONJ cana-5245 117 21 πœ€0 πœ€0 NOUN cana-5245 117 22 ) ) PUNCT cana-5245 117 23 + + CCONJ cana-5245 117 24 πœ”2( πœ”2( PROPN cana-5245 117 25 οΏ½ οΏ½ SYM cana-5245 117 26 Μ… Μ… NOUN cana-5245 117 27 οΏ½ οΏ½ PROPN cana-5245 117 28 βˆ’ βˆ’ PROPN cana-5245 117 29 οΏ½ οΏ½ PROPN cana-5245 117 30 Μ… Μ… NOUN cana-5245 117 31 οΏ½ οΏ½ NOUN cana-5245 117 32 (1 (1 NOUN cana-5245 117 33 + + NUM cana-5245 117 34 πœ€1 πœ€1 PROPN cana-5245 117 35 ) ) PUNCT cana-5245 117 36 ) ) PUNCT cana-5245 118 1 + + CCONJ cana-5245 118 2 πœ”3( πœ”3( PRON cana-5245 118 3 οΏ½ οΏ½ NOUN cana-5245 118 4 Μ… Μ… NOUN cana-5245 118 5 οΏ½ οΏ½ NOUN cana-5245 118 6 π‘₯ π‘₯ PRON cana-5245 118 7 βˆ’ βˆ’ PROPN cana-5245 118 8 οΏ½ οΏ½ NOUN cana-5245 118 9 Μ… Μ… NOUN cana-5245 118 10 οΏ½ οΏ½ NOUN cana-5245 118 11 π‘₯(1 π‘₯(1 NOUN cana-5245 118 12 + + NUM cana-5245 118 13 πœ€2 πœ€2 NOUN cana-5245 118 14 ) ) PUNCT cana-5245 118 15 ) ) PUNCT cana-5245 119 1 = = SYM cana-5245 119 2 πœ”1 πœ”1 ADJ cana-5245 119 3 οΏ½ οΏ½ SYM cana-5245 119 4 Μ… Μ… NOUN cana-5245 119 5 οΏ½ οΏ½ NOUN cana-5245 119 6 (1 (1 NOUN cana-5245 119 7 + + NUM cana-5245 119 8 πœ€0 πœ€0 NOUN cana-5245 119 9 ) ) PUNCT cana-5245 119 10 βˆ’ βˆ’ PROPN cana-5245 119 11 πœ”2 πœ”2 PROPN cana-5245 119 12 οΏ½ οΏ½ PROPN cana-5245 119 13 Μ… Μ… NOUN cana-5245 119 14 οΏ½ οΏ½ NOUN cana-5245 119 15 πœ€1 πœ€1 NOUN cana-5245 119 16 βˆ’ βˆ’ PROPN cana-5245 119 17 πœ”3 πœ”3 NOUN cana-5245 119 18 οΏ½ οΏ½ NOUN cana-5245 119 19 Μ… Μ… NOUN cana-5245 119 20 οΏ½ οΏ½ NOUN cana-5245 119 21 π‘₯πœ€2 π‘₯πœ€2 NOUN cana-5245 119 22 ( ( PUNCT cana-5245 119 23 4.2 4.2 NUM cana-5245 119 24 ) ) PUNCT cana-5245 119 25 subtracting subtract VERB cana-5245 119 26 οΏ½ οΏ½ PROPN cana-5245 119 27 Μ… Μ… NOUN cana-5245 119 28 οΏ½ οΏ½ NOUN cana-5245 119 29 on on ADP cana-5245 119 30 both both DET cana-5245 119 31 sides side NOUN cana-5245 119 32 of of ADP cana-5245 119 33 ( ( PUNCT cana-5245 119 34 4.2 4.2 NUM cana-5245 119 35 ) ) PUNCT cana-5245 119 36 , , PUNCT cana-5245 119 37 we we PRON cana-5245 119 38 get get VERB cana-5245 119 39 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ NOUN cana-5245 119 40 βˆ— βˆ— NOUN cana-5245 119 41 βˆ’ βˆ’ PROPN cana-5245 119 42 οΏ½ οΏ½ PROPN cana-5245 119 43 Μ… Μ… NOUN cana-5245 119 44 οΏ½ οΏ½ NOUN cana-5245 119 45 = = SYM cana-5245 119 46 ( ( PUNCT cana-5245 119 47 πœ”1 πœ”1 ADJ cana-5245 119 48 βˆ’ βˆ’ PROPN cana-5245 119 49 1) 1) NUM cana-5245 119 50 οΏ½ οΏ½ NOUN cana-5245 119 51 Μ… Μ… NOUN cana-5245 119 52 οΏ½ οΏ½ NOUN cana-5245 119 53 + + CCONJ cana-5245 120 1 πœ”1 πœ”1 ADJ cana-5245 120 2 οΏ½ οΏ½ SYM cana-5245 120 3 Μ… Μ… NOUN cana-5245 120 4 οΏ½ οΏ½ NOUN cana-5245 120 5 πœ€0 πœ€0 NOUN cana-5245 120 6 βˆ’ βˆ’ PROPN cana-5245 120 7 πœ”2 πœ”2 PROPN cana-5245 120 8 οΏ½ οΏ½ PROPN cana-5245 120 9 Μ… Μ… NOUN cana-5245 120 10 οΏ½ οΏ½ NOUN cana-5245 120 11 πœ€1 πœ€1 NOUN cana-5245 120 12 βˆ’ βˆ’ PROPN cana-5245 120 13 πœ”3 πœ”3 NOUN cana-5245 120 14 οΏ½ οΏ½ NOUN cana-5245 120 15 Μ… Μ… NOUN cana-5245 120 16 οΏ½ οΏ½ NOUN cana-5245 120 17 π‘₯πœ€2 π‘₯πœ€2 NOUN cana-5245 120 18 ( ( PUNCT cana-5245 120 19 4.3 4.3 NUM cana-5245 120 20 ) ) PUNCT cana-5245 120 21 communications communication NOUN cana-5245 120 22 on on ADP cana-5245 120 23 applied apply VERB cana-5245 120 24 nonlinear nonlinear ADJ cana-5245 120 25 analysis analysis NOUN cana-5245 120 26 issn issn NOUN cana-5245 120 27 : : PUNCT cana-5245 120 28 1074 1074 NUM cana-5245 120 29 - - PUNCT cana-5245 120 30 133x 133x NUM cana-5245 120 31 vol vol VERB cana-5245 120 32 32 32 NUM cana-5245 120 33 no no NOUN cana-5245 120 34 . . PUNCT cana-5245 121 1 10s 10 NOUN cana-5245 121 2 ( ( PUNCT cana-5245 121 3 2025 2025 NUM cana-5245 121 4 ) ) PUNCT cana-5245 121 5 1457 1457 NUM cana-5245 121 6 https://internationalpubls.com https://internationalpubls.com X cana-5245 121 7 taking take VERB cana-5245 121 8 expectation expectation NOUN cana-5245 121 9 on on ADP cana-5245 121 10 both both DET cana-5245 121 11 sides side NOUN cana-5245 121 12 of of ADP cana-5245 121 13 ( ( PUNCT cana-5245 121 14 4.3 4.3 NUM cana-5245 121 15 ) ) PUNCT cana-5245 121 16 , , PUNCT cana-5245 121 17 we we PRON cana-5245 121 18 get get VERB cana-5245 121 19 the the DET cana-5245 121 20 bias bias NOUN cana-5245 121 21 of of ADP cana-5245 121 22 the the DET cana-5245 121 23 estimator estimator NOUN cana-5245 121 24 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ PROPN cana-5245 121 25 βˆ— βˆ— PROPN cana-5245 121 26 as as ADP cana-5245 121 27 𝐸(π‘‘π‘Ÿπ‘ 𝐸(π‘‘π‘Ÿπ‘ PROPN cana-5245 121 28 βˆ— βˆ— PROPN cana-5245 121 29 βˆ’ βˆ’ PROPN cana-5245 121 30 οΏ½ οΏ½ PROPN cana-5245 121 31 Μ… Μ… NOUN cana-5245 121 32 οΏ½ οΏ½ NOUN cana-5245 121 33 ) ) PUNCT cana-5245 121 34 = = PUNCT cana-5245 122 1 ( ( PUNCT cana-5245 122 2 πœ”1 πœ”1 ADJ cana-5245 122 3 βˆ’ βˆ’ PROPN cana-5245 122 4 1) 1) NUM cana-5245 122 5 οΏ½ οΏ½ NOUN cana-5245 122 6 Μ… Μ… NOUN cana-5245 122 7 οΏ½ οΏ½ NOUN cana-5245 122 8 + + CCONJ cana-5245 122 9 πœ”1 πœ”1 ADJ cana-5245 122 10 οΏ½ οΏ½ SYM cana-5245 122 11 Μ… Μ… NOUN cana-5245 122 12 οΏ½ οΏ½ NOUN cana-5245 122 13 𝐸(πœ€0 𝐸(πœ€0 NOUN cana-5245 122 14 ) ) PUNCT cana-5245 122 15 βˆ’ βˆ’ PROPN cana-5245 122 16 πœ”2 πœ”2 PROPN cana-5245 122 17 οΏ½ οΏ½ PROPN cana-5245 122 18 Μ… Μ… NOUN cana-5245 122 19 οΏ½ οΏ½ NOUN cana-5245 122 20 𝐸(πœ€1 𝐸(πœ€1 NOUN cana-5245 122 21 ) ) PUNCT cana-5245 122 22 βˆ’ βˆ’ PROPN cana-5245 122 23 πœ”3 πœ”3 NOUN cana-5245 122 24 οΏ½ οΏ½ NOUN cana-5245 122 25 Μ… Μ… NOUN cana-5245 122 26 οΏ½ οΏ½ NOUN cana-5245 122 27 π‘₯𝐸(πœ€2 π‘₯𝐸(πœ€2 PROPN cana-5245 122 28 ) ) PUNCT cana-5245 122 29 𝐡(π‘‘π‘Ÿπ‘ 𝐡(π‘‘π‘Ÿπ‘ PROPN cana-5245 122 30 βˆ— βˆ— NOUN cana-5245 122 31 ) ) PUNCT cana-5245 122 32 = = SYM cana-5245 123 1 ( ( PUNCT cana-5245 123 2 πœ”1 πœ”1 ADJ cana-5245 123 3 βˆ’ βˆ’ PROPN cana-5245 123 4 1) 1) NUM cana-5245 123 5 οΏ½ οΏ½ NOUN cana-5245 123 6 Μ… Μ… NOUN cana-5245 123 7 οΏ½ οΏ½ NOUN cana-5245 123 8 ( ( PUNCT cana-5245 123 9 4.4 4.4 NUM cana-5245 123 10 ) ) PUNCT cana-5245 123 11 squaring squaring NOUN cana-5245 123 12 of of ADP cana-5245 123 13 ( ( PUNCT cana-5245 123 14 4.3 4.3 NUM cana-5245 123 15 ) ) PUNCT cana-5245 123 16 on on ADP cana-5245 123 17 both both DET cana-5245 123 18 sides side NOUN cana-5245 123 19 , , PUNCT cana-5245 123 20 we we PRON cana-5245 123 21 have have VERB cana-5245 123 22 ( ( PUNCT cana-5245 123 23 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ X cana-5245 123 24 βˆ— βˆ— NOUN cana-5245 123 25 βˆ’ βˆ’ PROPN cana-5245 123 26 οΏ½ οΏ½ PROPN cana-5245 123 27 Μ… Μ… NOUN cana-5245 123 28 οΏ½ οΏ½ NOUN cana-5245 123 29 )2 )2 PUNCT cana-5245 123 30 = = SYM cana-5245 123 31 ( ( PUNCT cana-5245 123 32 πœ”1 πœ”1 ADJ cana-5245 123 33 βˆ’ βˆ’ PROPN cana-5245 123 34 1)2 1)2 NUM cana-5245 123 35 οΏ½ οΏ½ SYM cana-5245 123 36 Μ… Μ… NOUN cana-5245 123 37 οΏ½ οΏ½ NOUN cana-5245 123 38 2 2 NUM cana-5245 123 39 + + CCONJ cana-5245 123 40 πœ”1 πœ”1 ADJ cana-5245 123 41 2 2 NUM cana-5245 123 42 οΏ½ οΏ½ NOUN cana-5245 123 43 Μ… Μ… NOUN cana-5245 123 44 οΏ½ οΏ½ NOUN cana-5245 123 45 2πœ€0 2πœ€0 NUM cana-5245 123 46 2 2 NUM cana-5245 123 47 + + CCONJ cana-5245 123 48 πœ”2 πœ”2 PROPN cana-5245 123 49 2 2 NUM cana-5245 123 50 οΏ½ οΏ½ NOUN cana-5245 123 51 Μ… Μ… NOUN cana-5245 123 52 οΏ½ οΏ½ NOUN cana-5245 123 53 2πœ€1 2πœ€1 NUM cana-5245 123 54 2 2 NUM cana-5245 123 55 + + NUM cana-5245 123 56 πœ”3 πœ”3 NOUN cana-5245 123 57 2 2 NUM cana-5245 123 58 οΏ½ οΏ½ NOUN cana-5245 123 59 Μ… Μ… NOUN cana-5245 123 60 οΏ½ οΏ½ NOUN cana-5245 123 61 π‘₯ π‘₯ NOUN cana-5245 123 62 2πœ€2 2πœ€2 NUM cana-5245 123 63 2 2 NUM cana-5245 123 64 + + CCONJ cana-5245 123 65 2πœ”1(πœ”1 2πœ”1(πœ”1 NUM cana-5245 123 66 βˆ’ βˆ’ NOUN cana-5245 123 67 1) 1) NUM cana-5245 123 68 οΏ½ οΏ½ NOUN cana-5245 123 69 Μ… Μ… NOUN cana-5245 123 70 οΏ½ οΏ½ NOUN cana-5245 123 71 2πœ€0 2πœ€0 NUM cana-5245 123 72 βˆ’ βˆ’ NUM cana-5245 123 73 2πœ”2(πœ”1 2πœ”2(πœ”1 NUM cana-5245 123 74 βˆ’ βˆ’ ADP cana-5245 123 75 1) 1) NUM cana-5245 123 76 οΏ½ οΏ½ NOUN cana-5245 123 77 Μ… Μ… NOUN cana-5245 123 78 οΏ½ οΏ½ NOUN cana-5245 123 79 οΏ½ οΏ½ NOUN cana-5245 123 80 Μ… Μ… NOUN cana-5245 123 81 οΏ½ οΏ½ NOUN cana-5245 123 82 πœ€1 πœ€1 NOUN cana-5245 123 83 βˆ’ βˆ’ PROPN cana-5245 123 84 2πœ”3(πœ”1 2πœ”3(πœ”1 NUM cana-5245 123 85 βˆ’ βˆ’ PROPN cana-5245 123 86 1) 1) NUM cana-5245 123 87 οΏ½ οΏ½ NOUN cana-5245 123 88 Μ… Μ… NOUN cana-5245 123 89 οΏ½ οΏ½ NOUN cana-5245 123 90 οΏ½ οΏ½ NOUN cana-5245 123 91 Μ… Μ… NOUN cana-5245 123 92 οΏ½ οΏ½ NOUN cana-5245 123 93 π‘₯πœ€2 π‘₯πœ€2 NOUN cana-5245 123 94 βˆ’ βˆ’ PROPN cana-5245 123 95 2πœ”1πœ”2 2πœ”1πœ”2 NUM cana-5245 123 96 οΏ½ οΏ½ PROPN cana-5245 123 97 Μ… Μ… NOUN cana-5245 123 98 οΏ½ οΏ½ NOUN cana-5245 123 99 οΏ½ οΏ½ NOUN cana-5245 123 100 Μ… Μ… NOUN cana-5245 123 101 οΏ½ οΏ½ PROPN cana-5245 123 102 πœ€0πœ€1 πœ€0πœ€1 NUM cana-5245 123 103 βˆ’ βˆ’ PROPN cana-5245 123 104 2πœ”1πœ”3 2πœ”1πœ”3 NUM cana-5245 123 105 οΏ½ οΏ½ PROPN cana-5245 123 106 Μ… Μ… NOUN cana-5245 123 107 οΏ½ οΏ½ NOUN cana-5245 123 108 οΏ½ οΏ½ NOUN cana-5245 123 109 Μ… Μ… NOUN cana-5245 123 110 οΏ½ οΏ½ NOUN cana-5245 123 111 π‘₯πœ€0πœ€2 π‘₯πœ€0πœ€2 PROPN cana-5245 123 112 + + NUM cana-5245 123 113 2πœ”2πœ”3 2πœ”2πœ”3 NUM cana-5245 123 114 οΏ½ οΏ½ NOUN cana-5245 123 115 Μ… Μ… NOUN cana-5245 123 116 οΏ½ οΏ½ NOUN cana-5245 123 117 οΏ½ οΏ½ NOUN cana-5245 123 118 Μ… Μ… NOUN cana-5245 123 119 οΏ½ οΏ½ NOUN cana-5245 123 120 π‘₯πœ€1πœ€2 π‘₯πœ€1πœ€2 PROPN cana-5245 123 121 ( ( PUNCT cana-5245 123 122 4.5 4.5 NUM cana-5245 123 123 ) ) PUNCT cana-5245 123 124 taking take VERB cana-5245 123 125 expectation expectation NOUN cana-5245 123 126 on on ADP cana-5245 123 127 both both DET cana-5245 123 128 sides side NOUN cana-5245 123 129 of of ADP cana-5245 123 130 ( ( PUNCT cana-5245 123 131 4.5 4.5 NUM cana-5245 123 132 ) ) PUNCT cana-5245 123 133 , , PUNCT cana-5245 123 134 we we PRON cana-5245 123 135 get get VERB cana-5245 123 136 the the DET cana-5245 123 137 exact exact ADJ cana-5245 123 138 mean mean ADJ cana-5245 123 139 square square ADJ cana-5245 123 140 error error NOUN cana-5245 123 141 ( ( PUNCT cana-5245 123 142 mse mse NOUN cana-5245 123 143 ) ) PUNCT cana-5245 123 144 of of ADP cana-5245 123 145 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ NOUN cana-5245 123 146 βˆ— βˆ— NOUN cana-5245 123 147 , , PUNCT cana-5245 123 148 as as ADP cana-5245 123 149 𝐸(π‘‘π‘Ÿπ‘ 𝐸(π‘‘π‘Ÿπ‘ PROPN cana-5245 123 150 βˆ— βˆ— PROPN cana-5245 123 151 βˆ’ βˆ’ PROPN cana-5245 123 152 οΏ½ οΏ½ PROPN cana-5245 123 153 Μ… Μ… NOUN cana-5245 123 154 οΏ½ οΏ½ NOUN cana-5245 123 155 )2 )2 PUNCT cana-5245 123 156 = = SYM cana-5245 123 157 ( ( PUNCT cana-5245 123 158 πœ”1 πœ”1 ADJ cana-5245 123 159 βˆ’ βˆ’ PROPN cana-5245 123 160 1)2 1)2 NUM cana-5245 123 161 οΏ½ οΏ½ SYM cana-5245 123 162 Μ… Μ… NOUN cana-5245 123 163 οΏ½ οΏ½ NOUN cana-5245 123 164 2 2 NUM cana-5245 123 165 + + CCONJ cana-5245 123 166 πœ”1 πœ”1 ADJ cana-5245 123 167 2 2 NUM cana-5245 123 168 οΏ½ οΏ½ NOUN cana-5245 123 169 Μ… Μ… NOUN cana-5245 123 170 οΏ½ οΏ½ NOUN cana-5245 123 171 2𝐸(πœ€0 2𝐸(πœ€0 NUM cana-5245 123 172 2 2 NUM cana-5245 123 173 ) ) PUNCT cana-5245 123 174 + + CCONJ cana-5245 123 175 πœ”2 πœ”2 PROPN cana-5245 123 176 2 2 NUM cana-5245 123 177 οΏ½ οΏ½ NOUN cana-5245 123 178 Μ… Μ… NOUN cana-5245 123 179 οΏ½ οΏ½ NOUN cana-5245 123 180 2𝐸(πœ€1 2𝐸(πœ€1 NUM cana-5245 123 181 2 2 NUM cana-5245 123 182 ) ) PUNCT cana-5245 123 183 + + NUM cana-5245 123 184 πœ”3 πœ”3 NOUN cana-5245 123 185 2 2 NUM cana-5245 123 186 οΏ½ οΏ½ NOUN cana-5245 123 187 Μ… Μ… NOUN cana-5245 123 188 οΏ½ οΏ½ NOUN cana-5245 123 189 π‘₯ π‘₯ NOUN cana-5245 123 190 2𝐸(πœ€2 2𝐸(πœ€2 NUM cana-5245 123 191 2 2 NUM cana-5245 123 192 ) ) PUNCT cana-5245 123 193 + + CCONJ cana-5245 123 194 2πœ”1(πœ”1 2πœ”1(πœ”1 NUM cana-5245 123 195 βˆ’ βˆ’ NOUN cana-5245 123 196 1) 1) NUM cana-5245 123 197 οΏ½ οΏ½ NOUN cana-5245 123 198 Μ… Μ… NOUN cana-5245 123 199 οΏ½ οΏ½ NOUN cana-5245 123 200 2𝐸(πœ€0 2𝐸(πœ€0 NUM cana-5245 123 201 ) ) PUNCT cana-5245 123 202 βˆ’ βˆ’ PROPN cana-5245 123 203 2πœ”2(πœ”1 2πœ”2(πœ”1 NUM cana-5245 123 204 βˆ’ βˆ’ ADP cana-5245 123 205 1) 1) NUM cana-5245 123 206 οΏ½ οΏ½ NOUN cana-5245 123 207 Μ… Μ… NOUN cana-5245 123 208 οΏ½ οΏ½ NOUN cana-5245 123 209 οΏ½ οΏ½ NOUN cana-5245 123 210 Μ… Μ… NOUN cana-5245 123 211 οΏ½ οΏ½ NOUN cana-5245 123 212 𝐸(πœ€1 𝐸(πœ€1 NOUN cana-5245 123 213 ) ) PUNCT cana-5245 123 214 βˆ’ βˆ’ PROPN cana-5245 123 215 2πœ”3(πœ”1 2πœ”3(πœ”1 NUM cana-5245 123 216 βˆ’ βˆ’ PROPN cana-5245 123 217 1) 1) NUM cana-5245 123 218 οΏ½ οΏ½ NOUN cana-5245 123 219 Μ… Μ… NOUN cana-5245 123 220 οΏ½ οΏ½ NOUN cana-5245 123 221 οΏ½ οΏ½ NOUN cana-5245 123 222 Μ… Μ… NOUN cana-5245 123 223 οΏ½ οΏ½ NOUN cana-5245 123 224 π‘₯𝐸(πœ€2 π‘₯𝐸(πœ€2 PROPN cana-5245 123 225 ) ) PUNCT cana-5245 123 226 βˆ’ βˆ’ PROPN cana-5245 123 227 2πœ”1πœ”2 2πœ”1πœ”2 NUM cana-5245 123 228 οΏ½ οΏ½ PROPN cana-5245 123 229 Μ… Μ… NOUN cana-5245 123 230 οΏ½ οΏ½ NOUN cana-5245 123 231 οΏ½ οΏ½ NOUN cana-5245 123 232 Μ… Μ… NOUN cana-5245 123 233 οΏ½ οΏ½ NOUN cana-5245 123 234 𝐸(πœ€0πœ€1 𝐸(πœ€0πœ€1 NOUN cana-5245 123 235 ) ) PUNCT cana-5245 123 236 βˆ’ βˆ’ PROPN cana-5245 124 1 2πœ”1πœ”3 2πœ”1πœ”3 NUM cana-5245 124 2 οΏ½ οΏ½ NOUN cana-5245 124 3 Μ… Μ… NOUN cana-5245 124 4 οΏ½ οΏ½ NOUN cana-5245 124 5 οΏ½ οΏ½ NOUN cana-5245 124 6 Μ… Μ… NOUN cana-5245 124 7 οΏ½ οΏ½ NOUN cana-5245 124 8 π‘₯𝐸(πœ€0πœ€2 π‘₯𝐸(πœ€0πœ€2 NOUN cana-5245 124 9 ) ) PUNCT cana-5245 125 1 + + CCONJ cana-5245 125 2 2πœ”2πœ”3 2πœ”2πœ”3 NUM cana-5245 125 3 οΏ½ οΏ½ SYM cana-5245 125 4 Μ… Μ… NOUN cana-5245 125 5 οΏ½ οΏ½ NOUN cana-5245 125 6 οΏ½ οΏ½ NOUN cana-5245 125 7 Μ… Μ… NOUN cana-5245 125 8 οΏ½ οΏ½ PROPN cana-5245 125 9 π‘₯𝐸(πœ€1πœ€2 π‘₯𝐸(πœ€1πœ€2 NOUN cana-5245 125 10 ) ) PUNCT cana-5245 125 11 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘ 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘ PROPN cana-5245 125 12 βˆ— βˆ— NOUN cana-5245 125 13 ) ) PUNCT cana-5245 125 14 = = SYM cana-5245 126 1 ( ( PUNCT cana-5245 126 2 πœ”1 πœ”1 ADJ cana-5245 126 3 βˆ’ βˆ’ PROPN cana-5245 126 4 1)2 1)2 NUM cana-5245 126 5 οΏ½ οΏ½ SYM cana-5245 126 6 Μ… Μ… NOUN cana-5245 126 7 οΏ½ οΏ½ NOUN cana-5245 126 8 2 2 NUM cana-5245 126 9 + + CCONJ cana-5245 126 10 πœ”1 πœ”1 ADJ cana-5245 126 11 2 2 NUM cana-5245 126 12 οΏ½ οΏ½ NOUN cana-5245 126 13 Μ… Μ… NOUN cana-5245 126 14 οΏ½ οΏ½ NOUN cana-5245 126 15 2𝐡 2𝐡 NOUN cana-5245 126 16 + + CCONJ cana-5245 126 17 πœ”2 πœ”2 PROPN cana-5245 126 18 2 2 NUM cana-5245 126 19 οΏ½ οΏ½ NOUN cana-5245 126 20 Μ… Μ… NOUN cana-5245 126 21 οΏ½ οΏ½ NOUN cana-5245 126 22 2𝐴 2𝐴 NOUN cana-5245 126 23 + + CCONJ cana-5245 126 24 πœ”3 πœ”3 NOUN cana-5245 126 25 2 2 NUM cana-5245 126 26 οΏ½ οΏ½ NOUN cana-5245 126 27 Μ… Μ… NOUN cana-5245 126 28 οΏ½ οΏ½ NOUN cana-5245 126 29 π‘₯ π‘₯ NOUN cana-5245 126 30 2𝐷 2𝐷 ADJ cana-5245 126 31 βˆ’ βˆ’ PROPN cana-5245 126 32 2πœ”1πœ”2 2πœ”1πœ”2 NUM cana-5245 126 33 οΏ½ οΏ½ PROPN cana-5245 126 34 Μ… Μ… NOUN cana-5245 126 35 οΏ½ οΏ½ NOUN cana-5245 126 36 οΏ½ οΏ½ NOUN cana-5245 126 37 Μ… Μ… NOUN cana-5245 126 38 οΏ½ οΏ½ NOUN cana-5245 126 39 𝐢 𝐢 PROPN cana-5245 126 40 βˆ’ βˆ’ PROPN cana-5245 126 41 2πœ”1πœ”3 2πœ”1πœ”3 NUM cana-5245 126 42 οΏ½ οΏ½ PROPN cana-5245 126 43 Μ… Μ… NOUN cana-5245 126 44 οΏ½ οΏ½ NOUN cana-5245 126 45 οΏ½ οΏ½ NOUN cana-5245 126 46 Μ… Μ… NOUN cana-5245 126 47 οΏ½ οΏ½ NOUN cana-5245 126 48 π‘₯𝐸 π‘₯𝐸 ADJ cana-5245 126 49 + + CCONJ cana-5245 126 50 2πœ”2πœ”3 2πœ”2πœ”3 NUM cana-5245 126 51 οΏ½ οΏ½ SYM cana-5245 126 52 Μ… Μ… NOUN cana-5245 126 53 οΏ½ οΏ½ NOUN cana-5245 126 54 οΏ½ οΏ½ NOUN cana-5245 126 55 Μ… Μ… NOUN cana-5245 126 56 οΏ½ οΏ½ NOUN cana-5245 126 57 π‘₯𝐹 π‘₯𝐹 NOUN cana-5245 126 58 ( ( PUNCT cana-5245 126 59 4.6 4.6 NUM cana-5245 126 60 ) ) PUNCT cana-5245 126 61 4.1 4.1 NUM cana-5245 126 62 optimum optimum ADJ cana-5245 126 63 choice choice NOUN cana-5245 126 64 of of ADP cana-5245 126 65 𝝎𝟏 𝝎𝟏 NOUN cana-5245 126 66 , , PUNCT cana-5245 126 67 𝝎𝟐 𝝎𝟐 NUM cana-5245 126 68 & & CCONJ cana-5245 126 69 πŽπŸ‘ πŽπŸ‘ NOUN cana-5245 126 70 and and CCONJ cana-5245 126 71 the the DET cana-5245 126 72 minimum minimum NOUN cana-5245 126 73 mse mse NOUN cana-5245 126 74 of of ADP cana-5245 126 75 proposed propose VERB cana-5245 126 76 class class NOUN cana-5245 126 77 of of ADP cana-5245 126 78 estimator estimator NOUN cana-5245 126 79 β€˜ ' PUNCT cana-5245 126 80 𝒕𝒓𝒑 𝒕𝒓𝒑 PROPN cana-5245 126 81 βˆ— βˆ— NOUN cana-5245 126 82 ’ ' PUNCT cana-5245 126 83 differentiating differentiate VERB cana-5245 126 84 equation equation NOUN cana-5245 126 85 ( ( PUNCT cana-5245 126 86 4.6 4.6 NUM cana-5245 126 87 ) ) PUNCT cana-5245 126 88 partially partially ADV cana-5245 126 89 w.r.to w.r.to X cana-5245 126 90 πœ”1 πœ”1 ADJ cana-5245 126 91 , , PUNCT cana-5245 126 92 πœ”2 πœ”2 PROPN cana-5245 126 93 & & CCONJ cana-5245 126 94 πœ”3 πœ”3 NOUN cana-5245 126 95 and and CCONJ cana-5245 126 96 equating equate VERB cana-5245 126 97 to to ADP cana-5245 126 98 zero zero NUM cana-5245 126 99 for for ADP cana-5245 126 100 obtaining obtain VERB cana-5245 126 101 the the DET cana-5245 126 102 optimum optimum ADJ cana-5245 126 103 value value NOUN cana-5245 126 104 of of ADP cana-5245 126 105 πœ”1 πœ”1 ADJ cana-5245 126 106 , , PUNCT cana-5245 126 107 πœ”2 πœ”2 PROPN cana-5245 126 108 & & CCONJ cana-5245 126 109 πœ”3 πœ”3 NOUN cana-5245 126 110 . . PUNCT cana-5245 127 1 the the DET cana-5245 127 2 optimum optimum ADJ cana-5245 127 3 value value NOUN cana-5245 127 4 of of ADP cana-5245 127 5 πœ”1 πœ”1 ADJ cana-5245 127 6 , , PUNCT cana-5245 127 7 πœ”2 πœ”2 PROPN cana-5245 127 8 & & CCONJ cana-5245 127 9 πœ”3 πœ”3 NOUN cana-5245 127 10 which which PRON cana-5245 127 11 makes make VERB cana-5245 127 12 the the DET cana-5245 127 13 mse mse NOUN cana-5245 127 14 minimum minimum NOUN cana-5245 127 15 of of ADP cana-5245 127 16 equation equation NOUN cana-5245 127 17 ( ( PUNCT cana-5245 127 18 4.6 4.6 NUM cana-5245 127 19 ) ) PUNCT cana-5245 127 20 is be AUX cana-5245 127 21 given give VERB cana-5245 127 22 by by ADP cana-5245 127 23 [ [ PUNCT cana-5245 127 24 1 1 NUM cana-5245 127 25 + + NUM cana-5245 127 26 𝐡 𝐡 NOUN cana-5245 127 27 βˆ’πΆ βˆ’πΆ ADP cana-5245 127 28 𝑅⁄ 𝑅⁄ PROPN cana-5245 127 29 βˆ’ βˆ’ PROPN cana-5245 127 30 𝐸 𝐸 PROPN cana-5245 127 31 π‘…βˆ—β„ π‘…βˆ—β„ PUNCT cana-5245 127 32 𝐢 𝐢 PROPN cana-5245 127 33 βˆ’ βˆ’ PROPN cana-5245 127 34 𝐴 𝐴 PROPN cana-5245 127 35 𝑅⁄ 𝑅⁄ PROPN cana-5245 127 36 βˆ’ βˆ’ PROPN cana-5245 127 37 𝐹 𝐹 PROPN cana-5245 127 38 π‘…βˆ—β„ π‘…βˆ—β„ PUNCT cana-5245 127 39 𝐸 𝐸 PROPN cana-5245 127 40 βˆ’πΉ βˆ’πΉ NUM cana-5245 127 41 𝑅⁄ 𝑅⁄ PROPN cana-5245 127 42 βˆ’ βˆ’ PROPN cana-5245 127 43 𝐷 𝐷 PROPN cana-5245 127 44 π‘…βˆ—β„ π‘…βˆ—β„ PUNCT cana-5245 127 45 ] ] PUNCT cana-5245 127 46 [ [ PUNCT cana-5245 127 47 πœ”1 πœ”1 ADJ cana-5245 127 48 πœ”2 πœ”2 ADJ cana-5245 127 49 πœ”3 πœ”3 NOUN cana-5245 127 50 ] ] PUNCT cana-5245 127 51 = = PUNCT cana-5245 128 1 [ [ PUNCT cana-5245 128 2 1 1 NUM cana-5245 128 3 0 0 NUM cana-5245 128 4 0 0 NUM cana-5245 128 5 ] ] PUNCT cana-5245 128 6 ( ( PUNCT cana-5245 128 7 4.7 4.7 NUM cana-5245 128 8 ) ) PUNCT cana-5245 128 9 solving solving NOUN cana-5245 128 10 ( ( PUNCT cana-5245 128 11 4.7 4.7 NUM cana-5245 128 12 ) ) PUNCT cana-5245 128 13 , , PUNCT cana-5245 128 14 we we PRON cana-5245 128 15 get get VERB cana-5245 128 16 the the DET cana-5245 128 17 optimum optimum ADJ cana-5245 128 18 values value NOUN cana-5245 128 19 of of ADP cana-5245 128 20 πœ”1 πœ”1 ADJ cana-5245 128 21 , , PUNCT cana-5245 128 22 πœ”2 πœ”2 PROPN cana-5245 128 23 & & CCONJ cana-5245 128 24 πœ”3 πœ”3 NOUN cana-5245 128 25 as as ADP cana-5245 128 26 πœ”1 πœ”1 ADJ cana-5245 128 27 = = SYM cana-5245 128 28 𝐴𝐷 𝐴𝐷 PROPN cana-5245 128 29 βˆ’ βˆ’ NOUN cana-5245 128 30 𝐹2 𝐹2 NOUN cana-5245 128 31 ( ( PUNCT cana-5245 128 32 1 1 NUM cana-5245 128 33 + + NUM cana-5245 128 34 𝐡)(𝐴𝐷 𝐡)(𝐴𝐷 NUM cana-5245 128 35 βˆ’ βˆ’ PROPN cana-5245 128 36 𝐹2 𝐹2 NOUN cana-5245 128 37 ) ) PUNCT cana-5245 129 1 + + PUNCT cana-5245 129 2 𝐢(𝐸𝐹 𝐢(𝐸𝐹 PROPN cana-5245 129 3 βˆ’ βˆ’ NOUN cana-5245 129 4 𝐢𝐷 𝐢𝐷 PROPN cana-5245 129 5 ) ) PUNCT cana-5245 129 6 βˆ’ βˆ’ PROPN cana-5245 129 7 𝐸(𝐴𝐸 𝐸(𝐴𝐸 ADV cana-5245 129 8 βˆ’ βˆ’ ADP cana-5245 129 9 𝐢𝐹 𝐢𝐹 PROPN cana-5245 129 10 ) ) PUNCT cana-5245 129 11 = = SYM cana-5245 129 12 𝑉1(π‘ π‘Žπ‘¦ 𝑉1(π‘ π‘Žπ‘¦ PROPN cana-5245 129 13 ) ) PUNCT cana-5245 129 14 ( ( PUNCT cana-5245 129 15 4.8π‘Ž 4.8π‘Ž NOUN cana-5245 129 16 ) ) PUNCT cana-5245 129 17 πœ”2 πœ”2 PROPN cana-5245 129 18 = = SYM cana-5245 129 19 𝑅(𝐢𝐷 𝑅(𝐢𝐷 PROPN cana-5245 129 20 βˆ’ βˆ’ PROPN cana-5245 129 21 𝐸𝐹 𝐸𝐹 PROPN cana-5245 129 22 ) ) PUNCT cana-5245 129 23 ( ( PUNCT cana-5245 129 24 1 1 NUM cana-5245 129 25 + + CCONJ cana-5245 129 26 𝐡)(𝐴𝐷 𝐡)(𝐴𝐷 NUM cana-5245 129 27 βˆ’ βˆ’ PROPN cana-5245 129 28 𝐹2 𝐹2 NOUN cana-5245 129 29 ) ) PUNCT cana-5245 130 1 + + PUNCT cana-5245 130 2 𝐢(𝐸𝐹 𝐢(𝐸𝐹 PROPN cana-5245 130 3 βˆ’ βˆ’ NOUN cana-5245 130 4 𝐢𝐷 𝐢𝐷 PROPN cana-5245 130 5 ) ) PUNCT cana-5245 130 6 βˆ’ βˆ’ PROPN cana-5245 130 7 𝐸(𝐴𝐸 𝐸(𝐴𝐸 ADV cana-5245 130 8 βˆ’ βˆ’ ADP cana-5245 130 9 𝐢𝐹 𝐢𝐹 PROPN cana-5245 130 10 ) ) PUNCT cana-5245 130 11 = = SYM cana-5245 130 12 𝑉2(π‘ π‘Žπ‘¦ 𝑉2(π‘ π‘Žπ‘¦ X cana-5245 130 13 ) ) PUNCT cana-5245 130 14 ( ( PUNCT cana-5245 130 15 4.8𝑏 4.8𝑏 NOUN cana-5245 130 16 ) ) PUNCT cana-5245 130 17 πœ”3 πœ”3 NOUN cana-5245 130 18 = = SYM cana-5245 130 19 π‘…βˆ— π‘…βˆ— PUNCT cana-5245 130 20 ( ( PUNCT cana-5245 130 21 𝐴𝐸 𝐴𝐸 PROPN cana-5245 130 22 βˆ’ βˆ’ PROPN cana-5245 130 23 𝐢𝐹 𝐢𝐹 PROPN cana-5245 130 24 ( ( PUNCT cana-5245 130 25 1 1 NUM cana-5245 130 26 + + CCONJ cana-5245 130 27 𝐡)(𝐴𝐷 𝐡)(𝐴𝐷 NUM cana-5245 130 28 βˆ’ βˆ’ PROPN cana-5245 130 29 𝐹2 𝐹2 NOUN cana-5245 130 30 ) ) PUNCT cana-5245 130 31 + + PUNCT cana-5245 131 1 𝐢(𝐸𝐹 𝐢(𝐸𝐹 PROPN cana-5245 131 2 βˆ’ βˆ’ NOUN cana-5245 131 3 𝐢𝐷 𝐢𝐷 PROPN cana-5245 131 4 ) ) PUNCT cana-5245 131 5 βˆ’ βˆ’ PROPN cana-5245 131 6 𝐸(𝐴𝐸 𝐸(𝐴𝐸 ADV cana-5245 131 7 βˆ’ βˆ’ ADP cana-5245 131 8 𝐢𝐹 𝐢𝐹 NOUN cana-5245 131 9 ) ) PUNCT cana-5245 131 10 ) ) PUNCT cana-5245 132 1 = = SYM cana-5245 132 2 𝑉3(π‘ π‘Žπ‘¦ 𝑉3(π‘ π‘Žπ‘¦ NOUN cana-5245 132 3 ) ) PUNCT cana-5245 132 4 ( ( PUNCT cana-5245 132 5 4.8𝑐 4.8𝑐 NOUN cana-5245 132 6 ) ) PUNCT cana-5245 132 7 thus thus ADV cana-5245 132 8 , , PUNCT cana-5245 132 9 the the DET cana-5245 132 10 resulting result VERB cana-5245 132 11 minimum minimum ADJ cana-5245 132 12 mse mse NOUN cana-5245 132 13 of of ADP cana-5245 132 14 the the DET cana-5245 132 15 proposed propose VERB cana-5245 132 16 estimator estimator NOUN cana-5245 132 17 β€˜ ' PUNCT cana-5245 132 18 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ X cana-5245 132 19 βˆ— βˆ— NOUN cana-5245 132 20 ’ ' PUNCT cana-5245 132 21 is be AUX cana-5245 132 22 given give VERB cana-5245 132 23 by by ADP cana-5245 132 24 π‘šπ‘–π‘›. π‘šπ‘–π‘›. NOUN cana-5245 132 25 𝑀𝑆𝐸 𝑀𝑆𝐸 PROPN cana-5245 132 26 ( ( PUNCT cana-5245 132 27 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ NOUN cana-5245 132 28 βˆ— βˆ— NOUN cana-5245 132 29 ) ) PUNCT cana-5245 132 30 = = SYM cana-5245 132 31 ( ( PUNCT cana-5245 132 32 𝑉1 𝑉1 PROPN cana-5245 132 33 βˆ’ βˆ’ PROPN cana-5245 132 34 1)2 1)2 NUM cana-5245 132 35 οΏ½ οΏ½ SYM cana-5245 132 36 Μ… Μ… NOUN cana-5245 132 37 οΏ½ οΏ½ NOUN cana-5245 132 38 2 2 NUM cana-5245 132 39 + + SYM cana-5245 132 40 𝑉1 𝑉1 PROPN cana-5245 132 41 2 2 NUM cana-5245 132 42 οΏ½ οΏ½ NOUN cana-5245 132 43 Μ… Μ… NOUN cana-5245 132 44 οΏ½ οΏ½ NOUN cana-5245 132 45 2𝐡 2𝐡 NOUN cana-5245 132 46 + + CCONJ cana-5245 132 47 𝑉2 𝑉2 PROPN cana-5245 132 48 2 2 NUM cana-5245 132 49 οΏ½ οΏ½ PROPN cana-5245 132 50 Μ… Μ… NOUN cana-5245 132 51 οΏ½ οΏ½ NOUN cana-5245 132 52 2𝐴 2𝐴 NOUN cana-5245 132 53 + + CCONJ cana-5245 132 54 𝑉3 𝑉3 NOUN cana-5245 132 55 2 2 NUM cana-5245 132 56 οΏ½ οΏ½ NOUN cana-5245 132 57 Μ… Μ… NOUN cana-5245 132 58 οΏ½ οΏ½ NOUN cana-5245 132 59 π‘₯ π‘₯ NOUN cana-5245 132 60 2𝐷 2𝐷 ADJ cana-5245 132 61 βˆ’ βˆ’ PROPN cana-5245 132 62 2𝑉1𝑉2 2𝑉1𝑉2 NUM cana-5245 132 63 οΏ½ οΏ½ NOUN cana-5245 132 64 Μ… Μ… NOUN cana-5245 132 65 οΏ½ οΏ½ NOUN cana-5245 132 66 οΏ½ οΏ½ NOUN cana-5245 132 67 Μ… Μ… NOUN cana-5245 132 68 οΏ½ οΏ½ NOUN cana-5245 132 69 𝐢 𝐢 PROPN cana-5245 132 70 βˆ’ βˆ’ PROPN cana-5245 132 71 2𝑉1𝑉3 2𝑉1𝑉3 NUM cana-5245 132 72 οΏ½ οΏ½ NOUN cana-5245 132 73 Μ… Μ… NOUN cana-5245 132 74 οΏ½ οΏ½ NOUN cana-5245 132 75 οΏ½ οΏ½ NOUN cana-5245 132 76 Μ… Μ… NOUN cana-5245 132 77 οΏ½ οΏ½ NOUN cana-5245 132 78 π‘₯𝐸 π‘₯𝐸 ADJ cana-5245 132 79 + + CCONJ cana-5245 132 80 2𝑉2𝑉3 2𝑉2𝑉3 NUM cana-5245 132 81 οΏ½ οΏ½ NOUN cana-5245 132 82 Μ… Μ… NOUN cana-5245 132 83 οΏ½ οΏ½ NOUN cana-5245 132 84 οΏ½ οΏ½ NOUN cana-5245 132 85 Μ… Μ… NOUN cana-5245 132 86 οΏ½ οΏ½ NOUN cana-5245 132 87 π‘₯𝐹(πŸ’. π‘₯𝐹(πŸ’. PROPN cana-5245 132 88 πŸ— πŸ— NUM cana-5245 132 89 ) ) PUNCT cana-5245 132 90 case case NOUN cana-5245 132 91 1 1 NUM cana-5245 132 92 : : PUNCT cana-5245 132 93 if if SCONJ cana-5245 132 94 πœ”2 πœ”2 PROPN cana-5245 132 95 = = SYM cana-5245 132 96 0 0 NUM cana-5245 132 97 , , PUNCT cana-5245 132 98 the the DET cana-5245 132 99 proposed propose VERB cana-5245 132 100 estimator estimator NOUN cana-5245 132 101 β€˜ ' PUNCT cana-5245 132 102 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ X cana-5245 132 103 βˆ— βˆ— NOUN cana-5245 132 104 ’ ' PUNCT cana-5245 132 105 will will AUX cana-5245 132 106 be be AUX cana-5245 132 107 reduced reduce VERB cana-5245 132 108 as as SCONJ cana-5245 132 109 communications communication NOUN cana-5245 132 110 on on ADP cana-5245 132 111 applied apply VERB cana-5245 132 112 nonlinear nonlinear ADJ cana-5245 132 113 analysis analysis NOUN cana-5245 132 114 issn issn NOUN cana-5245 132 115 : : PUNCT cana-5245 132 116 1074 1074 NUM cana-5245 132 117 - - PUNCT cana-5245 132 118 133x 133x NUM cana-5245 132 119 vol vol VERB cana-5245 132 120 32 32 NUM cana-5245 132 121 no no NOUN cana-5245 132 122 . . PUNCT cana-5245 133 1 10s 10 NOUN cana-5245 133 2 ( ( PUNCT cana-5245 133 3 2025 2025 NUM cana-5245 133 4 ) ) PUNCT cana-5245 133 5 1458 1458 NUM cana-5245 134 1 https://internationalpubls.com https://internationalpubls.com X cana-5245 134 2 π‘‘π‘Ÿπ‘1 π‘‘π‘Ÿπ‘1 VERB cana-5245 134 3 βˆ— βˆ— NOUN cana-5245 134 4 = = SYM cana-5245 134 5 πœ”1 πœ”1 ADJ cana-5245 134 6 οΏ½ οΏ½ SYM cana-5245 134 7 Μ… Μ… NOUN cana-5245 134 8 οΏ½ οΏ½ NOUN cana-5245 134 9 βˆ— βˆ— NOUN cana-5245 134 10 + + NUM cana-5245 134 11 πœ”3( πœ”3( NOUN cana-5245 134 12 οΏ½ οΏ½ NOUN cana-5245 134 13 Μ… Μ… NOUN cana-5245 134 14 οΏ½ οΏ½ NOUN cana-5245 134 15 π‘₯ π‘₯ PRON cana-5245 134 16 βˆ’ βˆ’ PROPN cana-5245 134 17 οΏ½ οΏ½ NOUN cana-5245 134 18 Μ… Μ… NOUN cana-5245 134 19 οΏ½ οΏ½ NOUN cana-5245 134 20 π‘₯ π‘₯ NOUN cana-5245 134 21 βˆ— βˆ— NOUN cana-5245 134 22 ) ) PUNCT cana-5245 134 23 ( ( PUNCT cana-5245 134 24 4.10 4.10 NUM cana-5245 134 25 ) ) PUNCT cana-5245 134 26 where where SCONJ cana-5245 134 27 πœ”1 πœ”1 ADJ cana-5245 134 28 & & CCONJ cana-5245 134 29 πœ”3 πœ”3 NOUN cana-5245 134 30 is be AUX cana-5245 134 31 a a DET cana-5245 134 32 real real ADV cana-5245 134 33 constant constant ADJ cana-5245 134 34 to to PART cana-5245 134 35 be be AUX cana-5245 134 36 determined determine VERB cana-5245 134 37 such such ADJ cana-5245 134 38 that that SCONJ cana-5245 134 39 the the DET cana-5245 134 40 mse mse NOUN cana-5245 134 41 of of ADP cana-5245 134 42 π‘‘π‘Ÿπ‘1 π‘‘π‘Ÿπ‘1 PROPN cana-5245 134 43 βˆ— βˆ— NOUN cana-5245 134 44 is be AUX cana-5245 134 45 minimum minimum ADJ cana-5245 134 46 . . PUNCT cana-5245 135 1 now now ADV cana-5245 135 2 , , PUNCT cana-5245 135 3 expressing express VERB cana-5245 135 4 π‘‘π‘Ÿπ‘1 π‘‘π‘Ÿπ‘1 NOUN cana-5245 135 5 βˆ— βˆ— NOUN cana-5245 135 6 in in ADP cana-5245 135 7 terms term NOUN cana-5245 135 8 of of ADP cana-5245 135 9 πœ€β€²π‘  πœ€β€²π‘  PRON cana-5245 135 10 we we PRON cana-5245 135 11 have have AUX cana-5245 135 12 π‘‘π‘Ÿπ‘1 π‘‘π‘Ÿπ‘1 VERB cana-5245 135 13 βˆ— βˆ— NOUN cana-5245 135 14 = = SYM cana-5245 135 15 πœ”1 πœ”1 ADJ cana-5245 135 16 οΏ½ οΏ½ SYM cana-5245 135 17 Μ… Μ… NOUN cana-5245 135 18 οΏ½ οΏ½ NOUN cana-5245 135 19 (1 (1 NOUN cana-5245 135 20 + + CCONJ cana-5245 135 21 πœ€0 πœ€0 NOUN cana-5245 135 22 ) ) PUNCT cana-5245 135 23 + + NUM cana-5245 135 24 πœ”3( πœ”3( NOUN cana-5245 135 25 οΏ½ οΏ½ NOUN cana-5245 135 26 Μ… Μ… NOUN cana-5245 135 27 οΏ½ οΏ½ NOUN cana-5245 135 28 π‘₯ π‘₯ PRON cana-5245 135 29 βˆ’ βˆ’ PROPN cana-5245 135 30 οΏ½ οΏ½ NOUN cana-5245 135 31 Μ… Μ… NOUN cana-5245 135 32 οΏ½ οΏ½ NOUN cana-5245 135 33 π‘₯(1 π‘₯(1 NOUN cana-5245 135 34 + + NUM cana-5245 135 35 πœ€2 πœ€2 NOUN cana-5245 135 36 ) ) PUNCT cana-5245 135 37 ) ) PUNCT cana-5245 136 1 = = SYM cana-5245 137 1 πœ”1 πœ”1 ADJ cana-5245 137 2 οΏ½ οΏ½ SYM cana-5245 137 3 Μ… Μ… NOUN cana-5245 137 4 οΏ½ οΏ½ NOUN cana-5245 137 5 (1 (1 NOUN cana-5245 137 6 + + NUM cana-5245 137 7 πœ€0 πœ€0 NOUN cana-5245 137 8 ) ) PUNCT cana-5245 137 9 βˆ’ βˆ’ PROPN cana-5245 137 10 πœ”3 πœ”3 NOUN cana-5245 137 11 οΏ½ οΏ½ NOUN cana-5245 137 12 Μ… Μ… NOUN cana-5245 137 13 οΏ½ οΏ½ NOUN cana-5245 137 14 π‘₯πœ€2 π‘₯πœ€2 NOUN cana-5245 137 15 ( ( PUNCT cana-5245 137 16 4.11 4.11 NUM cana-5245 137 17 ) ) PUNCT cana-5245 137 18 π‘‘π‘Ÿπ‘1 π‘‘π‘Ÿπ‘1 NOUN cana-5245 137 19 βˆ— βˆ— NOUN cana-5245 137 20 βˆ’ βˆ’ PROPN cana-5245 137 21 οΏ½ οΏ½ NOUN cana-5245 137 22 Μ… Μ… NOUN cana-5245 137 23 οΏ½ οΏ½ NOUN cana-5245 137 24 = = SYM cana-5245 137 25 ( ( PUNCT cana-5245 137 26 πœ”1 πœ”1 ADJ cana-5245 137 27 βˆ’ βˆ’ PROPN cana-5245 137 28 1) 1) NUM cana-5245 137 29 οΏ½ οΏ½ NOUN cana-5245 137 30 Μ… Μ… NOUN cana-5245 137 31 οΏ½ οΏ½ NOUN cana-5245 137 32 + + CCONJ cana-5245 137 33 πœ”1 πœ”1 ADJ cana-5245 137 34 οΏ½ οΏ½ SYM cana-5245 137 35 Μ… Μ… NOUN cana-5245 137 36 οΏ½ οΏ½ NOUN cana-5245 137 37 πœ€0 πœ€0 NOUN cana-5245 137 38 βˆ’ βˆ’ PROPN cana-5245 137 39 πœ”3 πœ”3 NOUN cana-5245 137 40 οΏ½ οΏ½ NOUN cana-5245 137 41 Μ… Μ… NOUN cana-5245 137 42 οΏ½ οΏ½ NOUN cana-5245 137 43 π‘₯πœ€2 π‘₯πœ€2 NOUN cana-5245 137 44 ( ( PUNCT cana-5245 137 45 4.12 4.12 NUM cana-5245 137 46 ) ) PUNCT cana-5245 137 47 taking take VERB cana-5245 137 48 expectation expectation NOUN cana-5245 137 49 on on ADP cana-5245 137 50 both both DET cana-5245 137 51 sides side NOUN cana-5245 137 52 of of ADP cana-5245 137 53 ( ( PUNCT cana-5245 137 54 4.12 4.12 NUM cana-5245 137 55 ) ) PUNCT cana-5245 137 56 , , PUNCT cana-5245 137 57 we we PRON cana-5245 137 58 get get VERB cana-5245 137 59 the the DET cana-5245 137 60 bias bias NOUN cana-5245 137 61 of of ADP cana-5245 137 62 the the DET cana-5245 137 63 estimator estimator NOUN cana-5245 137 64 π‘‘π‘Ÿπ‘1 π‘‘π‘Ÿπ‘1 VERB cana-5245 137 65 βˆ— βˆ— NOUN cana-5245 137 66 as as ADP cana-5245 137 67 𝐸(π‘‘π‘Ÿπ‘1 𝐸(π‘‘π‘Ÿπ‘1 NOUN cana-5245 137 68 βˆ— βˆ— NOUN cana-5245 137 69 βˆ’ βˆ’ PROPN cana-5245 137 70 οΏ½ οΏ½ PROPN cana-5245 137 71 Μ… Μ… NOUN cana-5245 137 72 οΏ½ οΏ½ NOUN cana-5245 137 73 ) ) PUNCT cana-5245 137 74 = = PUNCT cana-5245 138 1 ( ( PUNCT cana-5245 138 2 πœ”1 πœ”1 ADJ cana-5245 138 3 βˆ’ βˆ’ PROPN cana-5245 138 4 1) 1) NUM cana-5245 138 5 οΏ½ οΏ½ NOUN cana-5245 138 6 Μ… Μ… NOUN cana-5245 138 7 οΏ½ οΏ½ NOUN cana-5245 138 8 + + CCONJ cana-5245 138 9 πœ”1 πœ”1 ADJ cana-5245 138 10 οΏ½ οΏ½ SYM cana-5245 138 11 Μ… Μ… NOUN cana-5245 138 12 οΏ½ οΏ½ NOUN cana-5245 138 13 𝐸(πœ€0 𝐸(πœ€0 NOUN cana-5245 138 14 ) ) PUNCT cana-5245 138 15 βˆ’ βˆ’ PROPN cana-5245 138 16 πœ”3 πœ”3 PROPN cana-5245 138 17 οΏ½ οΏ½ NOUN cana-5245 138 18 Μ… Μ… NOUN cana-5245 138 19 οΏ½ οΏ½ NOUN cana-5245 138 20 π‘₯𝐸(πœ€2 π‘₯𝐸(πœ€2 PROPN cana-5245 138 21 ) ) PUNCT cana-5245 138 22 𝐡(π‘‘π‘Ÿπ‘1 𝐡(π‘‘π‘Ÿπ‘1 PROPN cana-5245 138 23 βˆ— βˆ— NOUN cana-5245 138 24 ) ) PUNCT cana-5245 139 1 = = SYM cana-5245 139 2 ( ( PUNCT cana-5245 139 3 πœ”1 πœ”1 ADJ cana-5245 139 4 βˆ’ βˆ’ PROPN cana-5245 139 5 1) 1) NUM cana-5245 139 6 οΏ½ οΏ½ NOUN cana-5245 139 7 Μ… Μ… NOUN cana-5245 139 8 οΏ½ οΏ½ PROPN cana-5245 139 9 ( ( PUNCT cana-5245 139 10 4.13 4.13 NUM cana-5245 139 11 ) ) PUNCT cana-5245 139 12 ( ( PUNCT cana-5245 139 13 π‘‘π‘Ÿπ‘1 π‘‘π‘Ÿπ‘1 NOUN cana-5245 139 14 βˆ— βˆ— VERB cana-5245 139 15 βˆ’ βˆ’ PROPN cana-5245 139 16 οΏ½ οΏ½ PROPN cana-5245 139 17 Μ… Μ… NOUN cana-5245 139 18 οΏ½ οΏ½ NOUN cana-5245 139 19 )2 )2 PUNCT cana-5245 139 20 = = SYM cana-5245 139 21 ( ( PUNCT cana-5245 139 22 πœ”1 πœ”1 ADJ cana-5245 139 23 βˆ’ βˆ’ PROPN cana-5245 139 24 1)2 1)2 NUM cana-5245 139 25 οΏ½ οΏ½ SYM cana-5245 139 26 Μ… Μ… NOUN cana-5245 139 27 οΏ½ οΏ½ NOUN cana-5245 139 28 2 2 NUM cana-5245 139 29 + + CCONJ cana-5245 139 30 πœ”1 πœ”1 ADJ cana-5245 139 31 2 2 NUM cana-5245 139 32 οΏ½ οΏ½ NOUN cana-5245 139 33 Μ… Μ… NOUN cana-5245 139 34 οΏ½ οΏ½ NOUN cana-5245 139 35 2πœ€0 2πœ€0 NUM cana-5245 139 36 2 2 NUM cana-5245 139 37 + + NUM cana-5245 139 38 πœ”3 πœ”3 NOUN cana-5245 139 39 2 2 NUM cana-5245 139 40 οΏ½ οΏ½ NOUN cana-5245 139 41 Μ… Μ… NOUN cana-5245 139 42 οΏ½ οΏ½ NOUN cana-5245 139 43 π‘₯ π‘₯ NOUN cana-5245 139 44 2πœ€2 2πœ€2 NUM cana-5245 139 45 2 2 NUM cana-5245 139 46 + + CCONJ cana-5245 139 47 2πœ”1(πœ”1 2πœ”1(πœ”1 NUM cana-5245 139 48 βˆ’ βˆ’ NOUN cana-5245 139 49 1) 1) NUM cana-5245 139 50 οΏ½ οΏ½ NOUN cana-5245 139 51 Μ… Μ… NOUN cana-5245 139 52 οΏ½ οΏ½ NOUN cana-5245 139 53 2πœ€0 2πœ€0 NUM cana-5245 139 54 βˆ’ βˆ’ ADP cana-5245 139 55 2πœ”3(πœ”1 2πœ”3(πœ”1 NUM cana-5245 139 56 βˆ’ βˆ’ PROPN cana-5245 139 57 1) 1) NUM cana-5245 139 58 οΏ½ οΏ½ NOUN cana-5245 139 59 Μ… Μ… NOUN cana-5245 139 60 οΏ½ οΏ½ NOUN cana-5245 139 61 οΏ½ οΏ½ NOUN cana-5245 139 62 Μ… Μ… NOUN cana-5245 139 63 οΏ½ οΏ½ NOUN cana-5245 139 64 π‘₯πœ€2 π‘₯πœ€2 NOUN cana-5245 139 65 βˆ’ βˆ’ PROPN cana-5245 139 66 2πœ”1πœ”3 2πœ”1πœ”3 NUM cana-5245 139 67 οΏ½ οΏ½ PROPN cana-5245 139 68 Μ… Μ… NOUN cana-5245 139 69 οΏ½ οΏ½ NOUN cana-5245 139 70 οΏ½ οΏ½ NOUN cana-5245 139 71 Μ… Μ… NOUN cana-5245 139 72 οΏ½ οΏ½ NOUN cana-5245 139 73 π‘₯πœ€0πœ€2 π‘₯πœ€0πœ€2 PROPN cana-5245 139 74 ( ( PUNCT cana-5245 139 75 4.14 4.14 NUM cana-5245 139 76 ) ) PUNCT cana-5245 139 77 taking take VERB cana-5245 139 78 expectation expectation NOUN cana-5245 139 79 on on ADP cana-5245 139 80 both both DET cana-5245 139 81 sides side NOUN cana-5245 139 82 of of ADP cana-5245 139 83 ( ( PUNCT cana-5245 139 84 4.14 4.14 NUM cana-5245 139 85 ) ) PUNCT cana-5245 139 86 , , PUNCT cana-5245 139 87 we we PRON cana-5245 139 88 get get VERB cana-5245 139 89 the the DET cana-5245 139 90 exact exact ADJ cana-5245 139 91 mean mean ADJ cana-5245 139 92 square square ADJ cana-5245 139 93 error error NOUN cana-5245 139 94 ( ( PUNCT cana-5245 139 95 mse mse NOUN cana-5245 139 96 ) ) PUNCT cana-5245 139 97 of of ADP cana-5245 139 98 π‘‘π‘Ÿπ‘1 π‘‘π‘Ÿπ‘1 PROPN cana-5245 139 99 βˆ— βˆ— NOUN cana-5245 139 100 , , PUNCT cana-5245 139 101 as as ADP cana-5245 139 102 𝐸(π‘‘π‘Ÿπ‘1 𝐸(π‘‘π‘Ÿπ‘1 NOUN cana-5245 139 103 βˆ— βˆ— NOUN cana-5245 139 104 βˆ’ βˆ’ PROPN cana-5245 139 105 οΏ½ οΏ½ PROPN cana-5245 139 106 Μ… Μ… NOUN cana-5245 139 107 οΏ½ οΏ½ NOUN cana-5245 139 108 )2 )2 PUNCT cana-5245 139 109 = = SYM cana-5245 139 110 ( ( PUNCT cana-5245 139 111 πœ”1 πœ”1 ADJ cana-5245 139 112 βˆ’ βˆ’ PROPN cana-5245 139 113 1)2 1)2 NUM cana-5245 139 114 οΏ½ οΏ½ SYM cana-5245 139 115 Μ… Μ… NOUN cana-5245 139 116 οΏ½ οΏ½ NOUN cana-5245 139 117 2 2 NUM cana-5245 139 118 + + CCONJ cana-5245 139 119 πœ”1 πœ”1 ADJ cana-5245 139 120 2 2 NUM cana-5245 139 121 οΏ½ οΏ½ NOUN cana-5245 139 122 Μ… Μ… NOUN cana-5245 139 123 οΏ½ οΏ½ NOUN cana-5245 139 124 2𝐸(πœ€0 2𝐸(πœ€0 NUM cana-5245 139 125 2 2 NUM cana-5245 139 126 ) ) PUNCT cana-5245 139 127 + + NUM cana-5245 139 128 πœ”3 πœ”3 NOUN cana-5245 139 129 2 2 NUM cana-5245 139 130 οΏ½ οΏ½ NOUN cana-5245 139 131 Μ… Μ… NOUN cana-5245 139 132 οΏ½ οΏ½ NOUN cana-5245 139 133 π‘₯ π‘₯ NOUN cana-5245 139 134 2𝐸(πœ€2 2𝐸(πœ€2 NUM cana-5245 139 135 2 2 NUM cana-5245 139 136 ) ) PUNCT cana-5245 139 137 + + CCONJ cana-5245 139 138 2πœ”1(πœ”1 2πœ”1(πœ”1 NUM cana-5245 139 139 βˆ’ βˆ’ NOUN cana-5245 139 140 1) 1) NUM cana-5245 139 141 οΏ½ οΏ½ NOUN cana-5245 139 142 Μ… Μ… NOUN cana-5245 139 143 οΏ½ οΏ½ NOUN cana-5245 139 144 2𝐸(πœ€0 2𝐸(πœ€0 NUM cana-5245 139 145 ) ) PUNCT cana-5245 139 146 βˆ’ βˆ’ PROPN cana-5245 139 147 2πœ”3(πœ”1 2πœ”3(πœ”1 NUM cana-5245 139 148 βˆ’ βˆ’ PROPN cana-5245 139 149 1) 1) NUM cana-5245 139 150 οΏ½ οΏ½ NOUN cana-5245 139 151 Μ… Μ… NOUN cana-5245 139 152 οΏ½ οΏ½ NOUN cana-5245 139 153 οΏ½ οΏ½ NOUN cana-5245 139 154 Μ… Μ… NOUN cana-5245 139 155 οΏ½ οΏ½ NOUN cana-5245 139 156 π‘₯𝐸(πœ€2 π‘₯𝐸(πœ€2 PROPN cana-5245 139 157 ) ) PUNCT cana-5245 140 1 βˆ’ βˆ’ PROPN cana-5245 140 2 2πœ”1πœ”3 2πœ”1πœ”3 NUM cana-5245 140 3 οΏ½ οΏ½ NOUN cana-5245 140 4 Μ… Μ… NOUN cana-5245 140 5 οΏ½ οΏ½ NOUN cana-5245 140 6 οΏ½ οΏ½ NOUN cana-5245 140 7 Μ… Μ… NOUN cana-5245 140 8 οΏ½ οΏ½ NOUN cana-5245 140 9 π‘₯𝐸(πœ€0πœ€2 π‘₯𝐸(πœ€0πœ€2 NOUN cana-5245 140 10 ) ) PUNCT cana-5245 140 11 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘1 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘1 NOUN cana-5245 140 12 βˆ— βˆ— NOUN cana-5245 140 13 ) ) PUNCT cana-5245 141 1 = = SYM cana-5245 141 2 ( ( PUNCT cana-5245 141 3 πœ”1 πœ”1 ADJ cana-5245 141 4 βˆ’ βˆ’ PROPN cana-5245 141 5 1)2 1)2 NUM cana-5245 141 6 οΏ½ οΏ½ SYM cana-5245 141 7 Μ… Μ… NOUN cana-5245 141 8 οΏ½ οΏ½ NOUN cana-5245 141 9 2 2 NUM cana-5245 141 10 + + CCONJ cana-5245 141 11 πœ”1 πœ”1 ADJ cana-5245 141 12 2 2 NUM cana-5245 141 13 οΏ½ οΏ½ NOUN cana-5245 141 14 Μ… Μ… NOUN cana-5245 141 15 οΏ½ οΏ½ NOUN cana-5245 141 16 2𝐡 2𝐡 NOUN cana-5245 141 17 + + CCONJ cana-5245 141 18 πœ”3 πœ”3 NOUN cana-5245 141 19 2 2 NUM cana-5245 141 20 οΏ½ οΏ½ NOUN cana-5245 141 21 Μ… Μ… NOUN cana-5245 141 22 οΏ½ οΏ½ NOUN cana-5245 141 23 π‘₯ π‘₯ NOUN cana-5245 141 24 2𝐷 2𝐷 ADJ cana-5245 141 25 βˆ’ βˆ’ PROPN cana-5245 141 26 2πœ”1πœ”3 2πœ”1πœ”3 NUM cana-5245 141 27 οΏ½ οΏ½ NOUN cana-5245 141 28 Μ… Μ… NOUN cana-5245 141 29 οΏ½ οΏ½ NOUN cana-5245 141 30 οΏ½ οΏ½ NOUN cana-5245 141 31 Μ… Μ… NOUN cana-5245 141 32 οΏ½ οΏ½ NOUN cana-5245 141 33 π‘₯𝐸 π‘₯𝐸 ADJ cana-5245 141 34 ( ( PUNCT cana-5245 141 35 4.15 4.15 NUM cana-5245 141 36 ) ) PUNCT cana-5245 141 37 differentiating differentiate VERB cana-5245 141 38 equation equation NOUN cana-5245 141 39 ( ( PUNCT cana-5245 141 40 4.15 4.15 NUM cana-5245 141 41 ) ) PUNCT cana-5245 141 42 partially partially ADV cana-5245 141 43 w.r.to w.r.to CCONJ cana-5245 141 44 πœ”1 πœ”1 PROPN cana-5245 141 45 & & CCONJ cana-5245 141 46 πœ”3 πœ”3 NOUN cana-5245 141 47 and and CCONJ cana-5245 141 48 equating equate VERB cana-5245 141 49 to to ADP cana-5245 141 50 zero zero NUM cana-5245 141 51 for for ADP cana-5245 141 52 obtaining obtain VERB cana-5245 141 53 the the DET cana-5245 141 54 optimum optimum ADJ cana-5245 141 55 value value NOUN cana-5245 141 56 of of ADP cana-5245 141 57 πœ”1 πœ”1 PROPN cana-5245 141 58 & & CCONJ cana-5245 141 59 πœ”3 πœ”3 NOUN cana-5245 141 60 . . PUNCT cana-5245 142 1 the the DET cana-5245 142 2 optimum optimum ADJ cana-5245 142 3 value value NOUN cana-5245 142 4 of of ADP cana-5245 142 5 πœ”1 πœ”1 PROPN cana-5245 142 6 & & CCONJ cana-5245 142 7 πœ”3 πœ”3 NOUN cana-5245 142 8 which which PRON cana-5245 142 9 makes make VERB cana-5245 142 10 the the DET cana-5245 142 11 mse mse NOUN cana-5245 142 12 minimum minimum NOUN cana-5245 142 13 of of ADP cana-5245 142 14 equation equation NOUN cana-5245 142 15 ( ( PUNCT cana-5245 142 16 4.15 4.15 NUM cana-5245 142 17 ) ) PUNCT cana-5245 142 18 is be AUX cana-5245 142 19 given give VERB cana-5245 142 20 by by ADP cana-5245 142 21 πœ”1 πœ”1 ADJ cana-5245 142 22 = = SYM cana-5245 142 23 𝐷 𝐷 PROPN cana-5245 142 24 𝐷 𝐷 PROPN cana-5245 142 25 + + CCONJ cana-5245 142 26 𝐡𝐷 𝐡𝐷 PROPN cana-5245 142 27 βˆ’ βˆ’ PROPN cana-5245 142 28 𝐸2 𝐸2 PROPN cana-5245 142 29 = = PUNCT cana-5245 142 30 𝑉11(π‘ π‘Žπ‘¦ 𝑉11(π‘ π‘Žπ‘¦ PROPN cana-5245 142 31 ) ) PUNCT cana-5245 142 32 ( ( PUNCT cana-5245 142 33 4.16π‘Ž 4.16π‘Ž NUM cana-5245 142 34 ) ) PUNCT cana-5245 142 35 πœ”3 πœ”3 NOUN cana-5245 142 36 = = SYM cana-5245 142 37 π‘…βˆ— π‘…βˆ— PUNCT cana-5245 142 38 ( ( PUNCT cana-5245 142 39 𝐸 𝐸 PROPN cana-5245 142 40 𝐷 𝐷 PROPN cana-5245 142 41 + + CCONJ cana-5245 142 42 𝐡𝐷 𝐡𝐷 PROPN cana-5245 142 43 βˆ’ βˆ’ PROPN cana-5245 142 44 𝐸2 𝐸2 ADJ cana-5245 142 45 ) ) PUNCT cana-5245 142 46 = = SYM cana-5245 142 47 𝑉13(π‘ π‘Žπ‘¦ 𝑉13(π‘ π‘Žπ‘¦ NOUN cana-5245 142 48 ) ) PUNCT cana-5245 142 49 ( ( PUNCT cana-5245 142 50 4.16𝑏 4.16𝑏 X cana-5245 142 51 ) ) PUNCT cana-5245 142 52 thus thus ADV cana-5245 142 53 , , PUNCT cana-5245 142 54 the the DET cana-5245 142 55 resulting result VERB cana-5245 142 56 minimum minimum ADJ cana-5245 142 57 mse mse NOUN cana-5245 142 58 of of ADP cana-5245 142 59 the the DET cana-5245 142 60 proposed propose VERB cana-5245 142 61 estimator estimator NOUN cana-5245 142 62 β€˜ ' PUNCT cana-5245 142 63 π‘‘π‘Ÿπ‘1 π‘‘π‘Ÿπ‘1 VERB cana-5245 142 64 βˆ— βˆ— NOUN cana-5245 142 65 ’ ' PUNCT cana-5245 142 66 is be AUX cana-5245 142 67 given give VERB cana-5245 142 68 by by ADP cana-5245 142 69 π‘šπ‘–π‘›. π‘šπ‘–π‘›. NOUN cana-5245 142 70 𝑀𝑆𝐸 𝑀𝑆𝐸 PROPN cana-5245 142 71 ( ( PUNCT cana-5245 142 72 π‘‘π‘Ÿπ‘1 π‘‘π‘Ÿπ‘1 NOUN cana-5245 142 73 βˆ— βˆ— NOUN cana-5245 142 74 ) ) PUNCT cana-5245 142 75 = = SYM cana-5245 142 76 ( ( PUNCT cana-5245 142 77 𝑉11 𝑉11 PROPN cana-5245 142 78 βˆ’ βˆ’ PROPN cana-5245 142 79 1)2 1)2 NUM cana-5245 142 80 οΏ½ οΏ½ SYM cana-5245 142 81 Μ… Μ… NOUN cana-5245 142 82 οΏ½ οΏ½ NOUN cana-5245 142 83 2 2 NUM cana-5245 142 84 + + CCONJ cana-5245 142 85 𝑉11 𝑉11 PROPN cana-5245 142 86 2 2 NUM cana-5245 142 87 οΏ½ οΏ½ NOUN cana-5245 142 88 Μ… Μ… NOUN cana-5245 142 89 οΏ½ οΏ½ NOUN cana-5245 142 90 2𝐡 2𝐡 NOUN cana-5245 142 91 + + CCONJ cana-5245 142 92 𝑉13 𝑉13 PROPN cana-5245 142 93 2 2 NUM cana-5245 142 94 οΏ½ οΏ½ NOUN cana-5245 142 95 Μ… Μ… NOUN cana-5245 142 96 οΏ½ οΏ½ NOUN cana-5245 142 97 π‘₯ π‘₯ NOUN cana-5245 142 98 2𝐷 2𝐷 ADJ cana-5245 142 99 βˆ’ βˆ’ PROPN cana-5245 142 100 2𝑉11𝑉13 2𝑉11𝑉13 NUM cana-5245 142 101 οΏ½ οΏ½ PROPN cana-5245 142 102 Μ… Μ… NOUN cana-5245 142 103 οΏ½ οΏ½ NOUN cana-5245 142 104 οΏ½ οΏ½ NOUN cana-5245 142 105 Μ… Μ… NOUN cana-5245 142 106 οΏ½ οΏ½ NOUN cana-5245 142 107 π‘₯𝐸 π‘₯𝐸 X cana-5245 142 108 ( ( PUNCT cana-5245 142 109 4.17 4.17 NUM cana-5245 142 110 ) ) PUNCT cana-5245 142 111 case case NOUN cana-5245 142 112 2 2 NUM cana-5245 142 113 : : PUNCT cana-5245 142 114 if if SCONJ cana-5245 142 115 πœ”3 πœ”3 NOUN cana-5245 142 116 = = SYM cana-5245 142 117 0 0 NUM cana-5245 142 118 , , PUNCT cana-5245 142 119 the the DET cana-5245 142 120 proposed propose VERB cana-5245 142 121 estimator estimator NOUN cana-5245 142 122 β€˜ ' PUNCT cana-5245 142 123 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ X cana-5245 142 124 βˆ— βˆ— NOUN cana-5245 142 125 ’ ' PUNCT cana-5245 142 126 will will AUX cana-5245 142 127 be be AUX cana-5245 142 128 reduced reduce VERB cana-5245 142 129 as as ADP cana-5245 142 130 π‘‘π‘Ÿπ‘2 π‘‘π‘Ÿπ‘2 NOUN cana-5245 142 131 βˆ— βˆ— NOUN cana-5245 142 132 = = SYM cana-5245 142 133 πœ”1 πœ”1 ADJ cana-5245 142 134 οΏ½ οΏ½ SYM cana-5245 142 135 Μ… Μ… NOUN cana-5245 142 136 οΏ½ οΏ½ NOUN cana-5245 142 137 βˆ— βˆ— NOUN cana-5245 142 138 + + CCONJ cana-5245 142 139 πœ”2( πœ”2( PROPN cana-5245 142 140 οΏ½ οΏ½ NOUN cana-5245 142 141 Μ… Μ… NOUN cana-5245 142 142 οΏ½ οΏ½ PROPN cana-5245 142 143 βˆ’ βˆ’ PROPN cana-5245 142 144 οΏ½ οΏ½ NOUN cana-5245 142 145 Μ… Μ… NOUN cana-5245 142 146 οΏ½ οΏ½ NOUN cana-5245 142 147 βˆ— βˆ— NOUN cana-5245 142 148 ) ) PUNCT cana-5245 142 149 ( ( PUNCT cana-5245 142 150 4.18 4.18 NUM cana-5245 142 151 ) ) PUNCT cana-5245 142 152 where where SCONJ cana-5245 142 153 πœ”1 πœ”1 PROPN cana-5245 142 154 & & CCONJ cana-5245 142 155 πœ”2 πœ”2 PROPN cana-5245 142 156 is be AUX cana-5245 142 157 a a DET cana-5245 142 158 real real ADV cana-5245 142 159 constant constant ADJ cana-5245 142 160 to to PART cana-5245 142 161 be be AUX cana-5245 142 162 determined determine VERB cana-5245 142 163 such such ADJ cana-5245 142 164 that that SCONJ cana-5245 142 165 the the DET cana-5245 142 166 mse mse NOUN cana-5245 142 167 of of ADP cana-5245 142 168 π‘‘π‘Ÿπ‘2 π‘‘π‘Ÿπ‘2 PROPN cana-5245 142 169 βˆ— βˆ— NOUN cana-5245 142 170 is be AUX cana-5245 142 171 minimum minimum ADJ cana-5245 142 172 . . PUNCT cana-5245 143 1 now now ADV cana-5245 143 2 , , PUNCT cana-5245 143 3 expressing express VERB cana-5245 143 4 π‘‘π‘Ÿπ‘2 π‘‘π‘Ÿπ‘2 NOUN cana-5245 143 5 βˆ— βˆ— NOUN cana-5245 143 6 in in ADP cana-5245 143 7 terms term NOUN cana-5245 143 8 of of ADP cana-5245 143 9 πœ€β€²π‘  πœ€β€²π‘  PRON cana-5245 143 10 we we PRON cana-5245 143 11 have have VERB cana-5245 143 12 communications communication NOUN cana-5245 143 13 on on ADP cana-5245 143 14 applied apply VERB cana-5245 143 15 nonlinear nonlinear ADJ cana-5245 143 16 analysis analysis NOUN cana-5245 143 17 issn issn NOUN cana-5245 143 18 : : PUNCT cana-5245 143 19 1074 1074 NUM cana-5245 143 20 - - PUNCT cana-5245 143 21 133x 133x NUM cana-5245 143 22 vol vol VERB cana-5245 143 23 32 32 NUM cana-5245 143 24 no no NOUN cana-5245 143 25 . . PUNCT cana-5245 144 1 10s 10 NOUN cana-5245 144 2 ( ( PUNCT cana-5245 144 3 2025 2025 NUM cana-5245 144 4 ) ) PUNCT cana-5245 144 5 1459 1459 NUM cana-5245 144 6 https://internationalpubls.com https://internationalpubls.com X cana-5245 144 7 π‘‘π‘Ÿπ‘2 π‘‘π‘Ÿπ‘2 NOUN cana-5245 144 8 βˆ— βˆ— VERB cana-5245 144 9 = = SYM cana-5245 144 10 πœ”1 πœ”1 ADJ cana-5245 144 11 οΏ½ οΏ½ SYM cana-5245 144 12 Μ… Μ… NOUN cana-5245 144 13 οΏ½ οΏ½ NOUN cana-5245 144 14 (1 (1 NOUN cana-5245 144 15 + + CCONJ cana-5245 144 16 πœ€0 πœ€0 NOUN cana-5245 144 17 ) ) PUNCT cana-5245 144 18 + + CCONJ cana-5245 144 19 πœ”2( πœ”2( PROPN cana-5245 144 20 οΏ½ οΏ½ SYM cana-5245 144 21 Μ… Μ… NOUN cana-5245 144 22 οΏ½ οΏ½ PROPN cana-5245 144 23 βˆ’ βˆ’ PROPN cana-5245 144 24 οΏ½ οΏ½ PROPN cana-5245 144 25 Μ… Μ… NOUN cana-5245 144 26 οΏ½ οΏ½ NOUN cana-5245 144 27 (1 (1 NOUN cana-5245 144 28 + + NUM cana-5245 144 29 πœ€1 πœ€1 NOUN cana-5245 144 30 ) ) PUNCT cana-5245 144 31 ) ) PUNCT cana-5245 145 1 = = SYM cana-5245 145 2 πœ”1 πœ”1 ADJ cana-5245 145 3 οΏ½ οΏ½ SYM cana-5245 145 4 Μ… Μ… NOUN cana-5245 145 5 οΏ½ οΏ½ NOUN cana-5245 145 6 (1 (1 NOUN cana-5245 145 7 + + NUM cana-5245 145 8 πœ€0 πœ€0 NOUN cana-5245 145 9 ) ) PUNCT cana-5245 145 10 βˆ’ βˆ’ PROPN cana-5245 145 11 πœ”2 πœ”2 PROPN cana-5245 145 12 οΏ½ οΏ½ PROPN cana-5245 145 13 Μ… Μ… NOUN cana-5245 145 14 οΏ½ οΏ½ NOUN cana-5245 145 15 πœ€1 πœ€1 NOUN cana-5245 145 16 ( ( PUNCT cana-5245 145 17 4.19 4.19 NUM cana-5245 145 18 ) ) PUNCT cana-5245 145 19 π‘‘π‘Ÿπ‘2 π‘‘π‘Ÿπ‘2 NOUN cana-5245 145 20 βˆ— βˆ— NOUN cana-5245 145 21 βˆ’ βˆ’ PROPN cana-5245 145 22 οΏ½ οΏ½ NOUN cana-5245 145 23 Μ… Μ… NOUN cana-5245 145 24 οΏ½ οΏ½ NOUN cana-5245 145 25 = = SYM cana-5245 145 26 ( ( PUNCT cana-5245 145 27 πœ”1 πœ”1 ADJ cana-5245 145 28 βˆ’ βˆ’ PROPN cana-5245 145 29 1) 1) NUM cana-5245 145 30 οΏ½ οΏ½ NOUN cana-5245 145 31 Μ… Μ… NOUN cana-5245 145 32 οΏ½ οΏ½ NOUN cana-5245 145 33 + + CCONJ cana-5245 145 34 πœ”1 πœ”1 ADJ cana-5245 145 35 οΏ½ οΏ½ SYM cana-5245 145 36 Μ… Μ… NOUN cana-5245 145 37 οΏ½ οΏ½ NOUN cana-5245 145 38 πœ€0 πœ€0 NOUN cana-5245 145 39 βˆ’ βˆ’ PROPN cana-5245 145 40 πœ”2 πœ”2 PROPN cana-5245 145 41 οΏ½ οΏ½ PROPN cana-5245 145 42 Μ… Μ… NOUN cana-5245 145 43 οΏ½ οΏ½ NOUN cana-5245 145 44 πœ€1 πœ€1 NOUN cana-5245 145 45 ( ( PUNCT cana-5245 145 46 4.20 4.20 NUM cana-5245 145 47 ) ) PUNCT cana-5245 145 48 taking take VERB cana-5245 145 49 expectation expectation NOUN cana-5245 145 50 on on ADP cana-5245 145 51 both both DET cana-5245 145 52 sides side NOUN cana-5245 145 53 of of ADP cana-5245 145 54 ( ( PUNCT cana-5245 145 55 4.20 4.20 NUM cana-5245 145 56 ) ) PUNCT cana-5245 145 57 , , PUNCT cana-5245 145 58 we we PRON cana-5245 145 59 get get VERB cana-5245 145 60 the the DET cana-5245 145 61 bias bias NOUN cana-5245 145 62 of of ADP cana-5245 145 63 the the DET cana-5245 145 64 estimator estimator NOUN cana-5245 145 65 π‘‘π‘Ÿπ‘2 π‘‘π‘Ÿπ‘2 PROPN cana-5245 145 66 βˆ— βˆ— NOUN cana-5245 145 67 as as ADP cana-5245 145 68 𝐸(π‘‘π‘Ÿπ‘2 𝐸(π‘‘π‘Ÿπ‘2 PROPN cana-5245 145 69 βˆ— βˆ— NOUN cana-5245 145 70 βˆ’ βˆ’ PROPN cana-5245 145 71 οΏ½ οΏ½ PROPN cana-5245 145 72 Μ… Μ… NOUN cana-5245 145 73 οΏ½ οΏ½ NOUN cana-5245 145 74 ) ) PUNCT cana-5245 145 75 = = PUNCT cana-5245 146 1 ( ( PUNCT cana-5245 146 2 πœ”1 πœ”1 ADJ cana-5245 146 3 βˆ’ βˆ’ PROPN cana-5245 146 4 1) 1) NUM cana-5245 146 5 οΏ½ οΏ½ NOUN cana-5245 146 6 Μ… Μ… NOUN cana-5245 146 7 οΏ½ οΏ½ NOUN cana-5245 146 8 + + CCONJ cana-5245 146 9 πœ”1 πœ”1 ADJ cana-5245 146 10 οΏ½ οΏ½ SYM cana-5245 146 11 Μ… Μ… NOUN cana-5245 146 12 οΏ½ οΏ½ NOUN cana-5245 146 13 𝐸(πœ€0 𝐸(πœ€0 NOUN cana-5245 146 14 ) ) PUNCT cana-5245 146 15 βˆ’ βˆ’ PROPN cana-5245 146 16 πœ”2 πœ”2 PROPN cana-5245 146 17 οΏ½ οΏ½ PROPN cana-5245 146 18 Μ… Μ… NOUN cana-5245 146 19 οΏ½ οΏ½ NOUN cana-5245 146 20 𝐸(πœ€1 𝐸(πœ€1 NOUN cana-5245 146 21 ) ) PUNCT cana-5245 146 22 𝐡(π‘‘π‘Ÿπ‘2 𝐡(π‘‘π‘Ÿπ‘2 NOUN cana-5245 146 23 βˆ— βˆ— NOUN cana-5245 146 24 ) ) PUNCT cana-5245 147 1 = = SYM cana-5245 147 2 ( ( PUNCT cana-5245 147 3 πœ”1 πœ”1 ADJ cana-5245 147 4 βˆ’ βˆ’ PROPN cana-5245 147 5 1) 1) NUM cana-5245 147 6 οΏ½ οΏ½ NOUN cana-5245 147 7 Μ… Μ… NOUN cana-5245 147 8 οΏ½ οΏ½ AUX cana-5245 147 9 ( ( PUNCT cana-5245 147 10 4.21 4.21 NUM cana-5245 147 11 ) ) PUNCT cana-5245 147 12 squaring squaring NOUN cana-5245 147 13 of of ADP cana-5245 147 14 ( ( PUNCT cana-5245 147 15 4.20 4.20 NUM cana-5245 147 16 ) ) PUNCT cana-5245 147 17 on on ADP cana-5245 147 18 both both DET cana-5245 147 19 sides side NOUN cana-5245 147 20 , , PUNCT cana-5245 147 21 we we PRON cana-5245 147 22 have have AUX cana-5245 147 23 ( ( PUNCT cana-5245 147 24 π‘‘π‘Ÿπ‘2 π‘‘π‘Ÿπ‘2 NOUN cana-5245 147 25 βˆ— βˆ— NOUN cana-5245 147 26 βˆ’ βˆ’ PROPN cana-5245 147 27 οΏ½ οΏ½ PROPN cana-5245 147 28 Μ… Μ… NOUN cana-5245 147 29 οΏ½ οΏ½ NOUN cana-5245 147 30 )2 )2 PUNCT cana-5245 147 31 = = SYM cana-5245 147 32 ( ( PUNCT cana-5245 147 33 πœ”1 πœ”1 ADJ cana-5245 147 34 βˆ’ βˆ’ PROPN cana-5245 147 35 1)2 1)2 NUM cana-5245 147 36 οΏ½ οΏ½ SYM cana-5245 147 37 Μ… Μ… NOUN cana-5245 147 38 οΏ½ οΏ½ NOUN cana-5245 147 39 2 2 NUM cana-5245 147 40 + + CCONJ cana-5245 147 41 πœ”1 πœ”1 ADJ cana-5245 147 42 2 2 NUM cana-5245 147 43 οΏ½ οΏ½ NOUN cana-5245 147 44 Μ… Μ… NOUN cana-5245 147 45 οΏ½ οΏ½ NOUN cana-5245 147 46 2πœ€0 2πœ€0 NUM cana-5245 147 47 2 2 NUM cana-5245 147 48 + + CCONJ cana-5245 147 49 πœ”2 πœ”2 PROPN cana-5245 147 50 2 2 NUM cana-5245 147 51 οΏ½ οΏ½ NOUN cana-5245 147 52 Μ… Μ… NOUN cana-5245 147 53 οΏ½ οΏ½ NOUN cana-5245 147 54 2πœ€1 2πœ€1 NUM cana-5245 147 55 2 2 NUM cana-5245 147 56 + + SYM cana-5245 147 57 2πœ”1(πœ”1 2πœ”1(πœ”1 NUM cana-5245 147 58 βˆ’ βˆ’ NOUN cana-5245 147 59 1) 1) NUM cana-5245 147 60 οΏ½ οΏ½ NOUN cana-5245 147 61 Μ… Μ… NOUN cana-5245 147 62 οΏ½ οΏ½ NOUN cana-5245 147 63 2πœ€0 2πœ€0 NUM cana-5245 147 64 βˆ’ βˆ’ NUM cana-5245 147 65 2πœ”2(πœ”1 2πœ”2(πœ”1 NUM cana-5245 147 66 βˆ’ βˆ’ ADP cana-5245 147 67 1) 1) NUM cana-5245 147 68 οΏ½ οΏ½ NOUN cana-5245 147 69 Μ… Μ… NOUN cana-5245 147 70 οΏ½ οΏ½ NOUN cana-5245 147 71 οΏ½ οΏ½ NOUN cana-5245 147 72 Μ… Μ… NOUN cana-5245 147 73 οΏ½ οΏ½ NOUN cana-5245 147 74 πœ€1 πœ€1 NOUN cana-5245 147 75 βˆ’ βˆ’ PROPN cana-5245 147 76 2πœ”1πœ”2 2πœ”1πœ”2 NUM cana-5245 147 77 οΏ½ οΏ½ PROPN cana-5245 147 78 Μ… Μ… NOUN cana-5245 147 79 οΏ½ οΏ½ NOUN cana-5245 147 80 οΏ½ οΏ½ NOUN cana-5245 147 81 Μ… Μ… NOUN cana-5245 147 82 οΏ½ οΏ½ PROPN cana-5245 147 83 πœ€0πœ€1 πœ€0πœ€1 X cana-5245 147 84 ( ( PUNCT cana-5245 147 85 4.22 4.22 NUM cana-5245 147 86 ) ) PUNCT cana-5245 147 87 taking take VERB cana-5245 147 88 expectation expectation NOUN cana-5245 147 89 on on ADP cana-5245 147 90 both both DET cana-5245 147 91 sides side NOUN cana-5245 147 92 of of ADP cana-5245 147 93 ( ( PUNCT cana-5245 147 94 4.22 4.22 NUM cana-5245 147 95 ) ) PUNCT cana-5245 147 96 , , PUNCT cana-5245 147 97 we we PRON cana-5245 147 98 get get VERB cana-5245 147 99 the the DET cana-5245 147 100 exact exact ADJ cana-5245 147 101 mean mean ADJ cana-5245 147 102 square square ADJ cana-5245 147 103 error error NOUN cana-5245 147 104 ( ( PUNCT cana-5245 147 105 mse mse NOUN cana-5245 147 106 ) ) PUNCT cana-5245 147 107 of of ADP cana-5245 147 108 π‘‘π‘Ÿπ‘2 π‘‘π‘Ÿπ‘2 NOUN cana-5245 147 109 βˆ— βˆ— NOUN cana-5245 147 110 , , PUNCT cana-5245 147 111 as as ADP cana-5245 147 112 𝐸(π‘‘π‘Ÿπ‘2 𝐸(π‘‘π‘Ÿπ‘2 PROPN cana-5245 147 113 βˆ— βˆ— NOUN cana-5245 147 114 βˆ’ βˆ’ PROPN cana-5245 147 115 οΏ½ οΏ½ PROPN cana-5245 147 116 Μ… Μ… NOUN cana-5245 147 117 οΏ½ οΏ½ NOUN cana-5245 147 118 )2 )2 PUNCT cana-5245 147 119 = = SYM cana-5245 147 120 ( ( PUNCT cana-5245 147 121 πœ”1 πœ”1 ADJ cana-5245 147 122 βˆ’ βˆ’ PROPN cana-5245 147 123 1)2 1)2 NUM cana-5245 147 124 οΏ½ οΏ½ SYM cana-5245 147 125 Μ… Μ… NOUN cana-5245 147 126 οΏ½ οΏ½ NOUN cana-5245 147 127 2 2 NUM cana-5245 147 128 + + CCONJ cana-5245 147 129 πœ”1 πœ”1 ADJ cana-5245 147 130 2 2 NUM cana-5245 147 131 οΏ½ οΏ½ NOUN cana-5245 147 132 Μ… Μ… NOUN cana-5245 147 133 οΏ½ οΏ½ NOUN cana-5245 147 134 2𝐸(πœ€0 2𝐸(πœ€0 NUM cana-5245 147 135 2 2 NUM cana-5245 147 136 ) ) PUNCT cana-5245 147 137 + + CCONJ cana-5245 147 138 πœ”2 πœ”2 PROPN cana-5245 147 139 2 2 NUM cana-5245 147 140 οΏ½ οΏ½ NOUN cana-5245 147 141 Μ… Μ… NOUN cana-5245 147 142 οΏ½ οΏ½ NOUN cana-5245 147 143 2𝐸(πœ€1 2𝐸(πœ€1 NUM cana-5245 147 144 2 2 NUM cana-5245 147 145 ) ) PUNCT cana-5245 147 146 + + CCONJ cana-5245 147 147 2πœ”1(πœ”1 2πœ”1(πœ”1 NUM cana-5245 147 148 βˆ’ βˆ’ NOUN cana-5245 147 149 1) 1) NUM cana-5245 147 150 οΏ½ οΏ½ NOUN cana-5245 147 151 Μ… Μ… NOUN cana-5245 147 152 οΏ½ οΏ½ NOUN cana-5245 147 153 2𝐸(πœ€0 2𝐸(πœ€0 NUM cana-5245 147 154 ) ) PUNCT cana-5245 147 155 βˆ’ βˆ’ PROPN cana-5245 147 156 2πœ”2(πœ”1 2πœ”2(πœ”1 NUM cana-5245 147 157 βˆ’ βˆ’ ADP cana-5245 147 158 1) 1) NUM cana-5245 147 159 οΏ½ οΏ½ NOUN cana-5245 147 160 Μ… Μ… NOUN cana-5245 147 161 οΏ½ οΏ½ NOUN cana-5245 147 162 οΏ½ οΏ½ NOUN cana-5245 147 163 Μ… Μ… NOUN cana-5245 147 164 οΏ½ οΏ½ NOUN cana-5245 147 165 𝐸(πœ€1 𝐸(πœ€1 NOUN cana-5245 147 166 ) ) PUNCT cana-5245 147 167 βˆ’ βˆ’ PROPN cana-5245 147 168 2πœ”1πœ”2 2πœ”1πœ”2 NUM cana-5245 147 169 οΏ½ οΏ½ PROPN cana-5245 147 170 Μ… Μ… NOUN cana-5245 147 171 οΏ½ οΏ½ NOUN cana-5245 147 172 οΏ½ οΏ½ NOUN cana-5245 147 173 Μ… Μ… NOUN cana-5245 147 174 οΏ½ οΏ½ NOUN cana-5245 147 175 𝐸(πœ€0πœ€1 𝐸(πœ€0πœ€1 NOUN cana-5245 147 176 ) ) PUNCT cana-5245 147 177 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘2 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘2 PROPN cana-5245 147 178 βˆ— βˆ— NOUN cana-5245 147 179 ) ) PUNCT cana-5245 148 1 = = SYM cana-5245 148 2 ( ( PUNCT cana-5245 148 3 πœ”1 πœ”1 ADJ cana-5245 148 4 βˆ’ βˆ’ PROPN cana-5245 148 5 1)2 1)2 NUM cana-5245 148 6 οΏ½ οΏ½ SYM cana-5245 148 7 Μ… Μ… NOUN cana-5245 148 8 οΏ½ οΏ½ NOUN cana-5245 148 9 2 2 NUM cana-5245 148 10 + + CCONJ cana-5245 148 11 πœ”1 πœ”1 ADJ cana-5245 148 12 2 2 NUM cana-5245 148 13 οΏ½ οΏ½ NOUN cana-5245 148 14 Μ… Μ… NOUN cana-5245 148 15 οΏ½ οΏ½ NOUN cana-5245 148 16 2𝐡 2𝐡 NOUN cana-5245 148 17 + + CCONJ cana-5245 148 18 πœ”2 πœ”2 PROPN cana-5245 148 19 2 2 NUM cana-5245 148 20 οΏ½ οΏ½ NOUN cana-5245 148 21 Μ… Μ… NOUN cana-5245 148 22 οΏ½ οΏ½ NOUN cana-5245 148 23 2𝐴 2𝐴 NOUN cana-5245 148 24 βˆ’ βˆ’ PROPN cana-5245 148 25 2πœ”1πœ”2 2πœ”1πœ”2 NUM cana-5245 148 26 οΏ½ οΏ½ PROPN cana-5245 148 27 Μ… Μ… NOUN cana-5245 148 28 οΏ½ οΏ½ NOUN cana-5245 148 29 οΏ½ οΏ½ NOUN cana-5245 148 30 Μ… Μ… NOUN cana-5245 148 31 οΏ½ οΏ½ NOUN cana-5245 148 32 𝐢 𝐢 PROPN cana-5245 148 33 ( ( PUNCT cana-5245 148 34 4.23 4.23 NUM cana-5245 148 35 ) ) PUNCT cana-5245 148 36 differentiating differentiate VERB cana-5245 148 37 equation equation NOUN cana-5245 148 38 ( ( PUNCT cana-5245 148 39 4.23 4.23 NUM cana-5245 148 40 ) ) PUNCT cana-5245 148 41 partially partially ADV cana-5245 148 42 w.r.to w.r.to ADV cana-5245 148 43 πœ”1 πœ”1 PROPN cana-5245 148 44 & & CCONJ cana-5245 148 45 πœ”2 πœ”2 PROPN cana-5245 148 46 and and CCONJ cana-5245 148 47 equating equate VERB cana-5245 148 48 to to ADP cana-5245 148 49 zero zero NUM cana-5245 148 50 for for ADP cana-5245 148 51 obtaining obtain VERB cana-5245 148 52 the the DET cana-5245 148 53 optimum optimum ADJ cana-5245 148 54 value value NOUN cana-5245 148 55 of of ADP cana-5245 148 56 πœ”1 πœ”1 PROPN cana-5245 148 57 & & CCONJ cana-5245 148 58 πœ”2 πœ”2 PROPN cana-5245 148 59 . . PUNCT cana-5245 149 1 the the DET cana-5245 149 2 optimum optimum ADJ cana-5245 149 3 value value NOUN cana-5245 149 4 of of ADP cana-5245 149 5 πœ”1 πœ”1 PROPN cana-5245 149 6 & & CCONJ cana-5245 149 7 πœ”2 πœ”2 PROPN cana-5245 149 8 which which PRON cana-5245 149 9 makes make VERB cana-5245 149 10 the the DET cana-5245 149 11 mse mse NOUN cana-5245 149 12 minimum minimum NOUN cana-5245 149 13 of of ADP cana-5245 149 14 equation equation NOUN cana-5245 149 15 ( ( PUNCT cana-5245 149 16 4.23 4.23 NUM cana-5245 149 17 ) ) PUNCT cana-5245 149 18 is be AUX cana-5245 149 19 given give VERB cana-5245 149 20 by by ADP cana-5245 149 21 πœ”1 πœ”1 ADJ cana-5245 149 22 = = PUNCT cana-5245 149 23 βˆ’ βˆ’ PROPN cana-5245 149 24 𝐴 𝐴 PROPN cana-5245 149 25 𝐢2 𝐢2 INTJ cana-5245 149 26 βˆ’ βˆ’ PROPN cana-5245 149 27 𝐴(1 𝐴(1 PUNCT cana-5245 149 28 + + CCONJ cana-5245 149 29 𝐡 𝐡 NOUN cana-5245 149 30 ) ) PUNCT cana-5245 149 31 = = SYM cana-5245 149 32 𝑉21(π‘ π‘Žπ‘¦ 𝑉21(π‘ π‘Žπ‘¦ NOUN cana-5245 149 33 ) ) PUNCT cana-5245 149 34 ( ( PUNCT cana-5245 149 35 4.24π‘Ž 4.24π‘Ž NUM cana-5245 149 36 ) ) PUNCT cana-5245 149 37 πœ”2 πœ”2 NOUN cana-5245 149 38 = = SYM cana-5245 149 39 βˆ’ βˆ’ NOUN cana-5245 150 1 𝐢𝑅 𝐢𝑅 INTJ cana-5245 150 2 𝐢2 𝐢2 INTJ cana-5245 150 3 βˆ’ βˆ’ PROPN cana-5245 150 4 𝐴(1 𝐴(1 PUNCT cana-5245 151 1 + + CCONJ cana-5245 151 2 𝐡 𝐡 NOUN cana-5245 151 3 ) ) PUNCT cana-5245 151 4 = = SYM cana-5245 151 5 𝑉22(π‘ π‘Žπ‘¦ 𝑉22(π‘ π‘Žπ‘¦ PROPN cana-5245 151 6 ) ) PUNCT cana-5245 151 7 ( ( PUNCT cana-5245 151 8 4.24𝑏 4.24𝑏 NUM cana-5245 151 9 ) ) PUNCT cana-5245 151 10 thus thus ADV cana-5245 151 11 , , PUNCT cana-5245 151 12 the the DET cana-5245 151 13 resulting result VERB cana-5245 151 14 minimum minimum ADJ cana-5245 151 15 mse mse NOUN cana-5245 151 16 of of ADP cana-5245 151 17 the the DET cana-5245 151 18 proposed propose VERB cana-5245 151 19 estimator estimator NOUN cana-5245 151 20 β€˜ ' PUNCT cana-5245 151 21 π‘‘π‘Ÿπ‘2 π‘‘π‘Ÿπ‘2 PROPN cana-5245 151 22 βˆ— βˆ— NOUN cana-5245 151 23 ’ ' PUNCT cana-5245 151 24 is be AUX cana-5245 151 25 given give VERB cana-5245 151 26 by by ADP cana-5245 151 27 π‘šπ‘–π‘›. π‘šπ‘–π‘›. NOUN cana-5245 151 28 𝑀𝑆𝐸 𝑀𝑆𝐸 NOUN cana-5245 151 29 ( ( PUNCT cana-5245 151 30 π‘‘π‘Ÿπ‘2 π‘‘π‘Ÿπ‘2 NOUN cana-5245 151 31 βˆ— βˆ— NOUN cana-5245 151 32 ) ) PUNCT cana-5245 151 33 = = SYM cana-5245 152 1 ( ( PUNCT cana-5245 152 2 𝑉21 𝑉21 NOUN cana-5245 152 3 βˆ’ βˆ’ PROPN cana-5245 152 4 1)2 1)2 NUM cana-5245 152 5 οΏ½ οΏ½ SYM cana-5245 152 6 Μ… Μ… NOUN cana-5245 152 7 οΏ½ οΏ½ NOUN cana-5245 152 8 2 2 NUM cana-5245 152 9 + + CCONJ cana-5245 152 10 𝑉21 𝑉21 PROPN cana-5245 152 11 2 2 NUM cana-5245 152 12 οΏ½ οΏ½ NOUN cana-5245 152 13 Μ… Μ… NOUN cana-5245 152 14 οΏ½ οΏ½ NOUN cana-5245 152 15 2𝐡 2𝐡 NOUN cana-5245 152 16 + + CCONJ cana-5245 152 17 𝑉22 𝑉22 PROPN cana-5245 152 18 2 2 NUM cana-5245 152 19 οΏ½ οΏ½ NOUN cana-5245 152 20 Μ… Μ… NOUN cana-5245 152 21 οΏ½ οΏ½ NOUN cana-5245 152 22 2𝐴 2𝐴 NOUN cana-5245 152 23 βˆ’ βˆ’ PROPN cana-5245 152 24 2𝑉21𝑉22 2𝑉21𝑉22 NUM cana-5245 152 25 οΏ½ οΏ½ PROPN cana-5245 152 26 Μ… Μ… NOUN cana-5245 152 27 οΏ½ οΏ½ NOUN cana-5245 152 28 οΏ½ οΏ½ NOUN cana-5245 152 29 Μ… Μ… NOUN cana-5245 152 30 οΏ½ οΏ½ NOUN cana-5245 152 31 𝐢 𝐢 PROPN cana-5245 152 32 ( ( PUNCT cana-5245 152 33 4.25 4.25 NUM cana-5245 152 34 ) ) PUNCT cana-5245 152 35 5 5 NUM cana-5245 152 36 . . X cana-5245 152 37 theoretical theoretical ADJ cana-5245 152 38 efficiency efficiency NOUN cana-5245 152 39 comparison comparison NOUN cana-5245 152 40 the the DET cana-5245 152 41 mse mse PROPN cana-5245 152 42 ’s ’s NOUN cana-5245 152 43 of of ADP cana-5245 152 44 the the DET cana-5245 152 45 existing exist VERB cana-5245 152 46 estimators estimator NOUN cana-5245 152 47 to to ADP cana-5245 152 48 the the DET cana-5245 152 49 first first ADJ cana-5245 152 50 degree degree NOUN cana-5245 152 51 of of ADP cana-5245 152 52 approximation approximation NOUN cana-5245 152 53 are be AUX cana-5245 152 54 derived derive VERB cana-5245 152 55 as as ADP cana-5245 152 56 : : PUNCT cana-5245 152 57 π‘‰π‘Žπ‘Ÿ π‘‰π‘Žπ‘Ÿ PROPN cana-5245 152 58 ( ( PUNCT cana-5245 152 59 οΏ½ οΏ½ NOUN cana-5245 152 60 Μ… Μ… NOUN cana-5245 152 61 οΏ½ οΏ½ NOUN cana-5245 152 62 βˆ— βˆ— NOUN cana-5245 152 63 ) ) PUNCT cana-5245 152 64 = = SYM cana-5245 152 65 οΏ½ οΏ½ NOUN cana-5245 152 66 Μ… Μ… NOUN cana-5245 152 67 οΏ½ οΏ½ NOUN cana-5245 152 68 2𝐡 2𝐡 NOUN cana-5245 152 69 ( ( PUNCT cana-5245 152 70 5.1 5.1 NUM cana-5245 152 71 ) ) PUNCT cana-5245 152 72 𝑀𝑆𝐸(π‘‘π‘Ÿ 𝑀𝑆𝐸(π‘‘π‘Ÿ NOUN cana-5245 152 73 βˆ— βˆ— NOUN cana-5245 152 74 ) ) PUNCT cana-5245 152 75 = = SYM cana-5245 152 76 οΏ½ οΏ½ NOUN cana-5245 152 77 Μ… Μ… NOUN cana-5245 152 78 οΏ½ οΏ½ NOUN cana-5245 152 79 2(𝐡 2(𝐡 ADJ cana-5245 152 80 + + CCONJ cana-5245 152 81 𝐴 𝐴 PROPN cana-5245 152 82 βˆ’ βˆ’ PROPN cana-5245 152 83 2𝐢 2𝐢 NOUN cana-5245 152 84 ) ) PUNCT cana-5245 152 85 ( ( PUNCT cana-5245 152 86 5.2 5.2 NUM cana-5245 152 87 ) ) PUNCT cana-5245 152 88 communications communication NOUN cana-5245 152 89 on on ADP cana-5245 152 90 applied apply VERB cana-5245 152 91 nonlinear nonlinear ADJ cana-5245 152 92 analysis analysis NOUN cana-5245 152 93 issn issn NOUN cana-5245 152 94 : : PUNCT cana-5245 152 95 1074 1074 NUM cana-5245 152 96 - - PUNCT cana-5245 152 97 133x 133x NUM cana-5245 152 98 vol vol VERB cana-5245 152 99 32 32 NUM cana-5245 152 100 no no NOUN cana-5245 152 101 . . PUNCT cana-5245 153 1 10s 10 NOUN cana-5245 153 2 ( ( PUNCT cana-5245 153 3 2025 2025 NUM cana-5245 153 4 ) ) PUNCT cana-5245 153 5 1460 1460 NUM cana-5245 153 6 https://internationalpubls.com https://internationalpubls.com X cana-5245 154 1 𝑀𝑆𝐸(π‘‘π‘˜π‘  𝑀𝑆𝐸(π‘‘π‘˜π‘  PROPN cana-5245 154 2 βˆ— βˆ— X cana-5245 154 3 ) ) PUNCT cana-5245 154 4 = = SYM cana-5245 154 5 οΏ½ οΏ½ NOUN cana-5245 154 6 Μ… Μ… NOUN cana-5245 154 7 οΏ½ οΏ½ NOUN cana-5245 154 8 2(𝐴 2(𝐴 NOUN cana-5245 154 9 + + CCONJ cana-5245 154 10 𝐡 𝐡 NOUN cana-5245 154 11 + + CCONJ cana-5245 154 12 2𝐢 2𝐢 NOUN cana-5245 154 13 ) ) PUNCT cana-5245 154 14 ( ( PUNCT cana-5245 154 15 5.3 5.3 NUM cana-5245 154 16 ) ) PUNCT cana-5245 154 17 𝑀𝑆𝐸(π‘‘π‘’π‘Ÿ 𝑀𝑆𝐸(π‘‘π‘’π‘Ÿ PROPN cana-5245 154 18 βˆ— βˆ— NOUN cana-5245 154 19 ) ) PUNCT cana-5245 154 20 = = SYM cana-5245 154 21 οΏ½ οΏ½ NOUN cana-5245 154 22 Μ… Μ… NOUN cana-5245 154 23 οΏ½ οΏ½ NOUN cana-5245 154 24 2 2 NUM cana-5245 154 25 ( ( PUNCT cana-5245 154 26 𝐡 𝐡 NOUN cana-5245 154 27 + + NOUN cana-5245 154 28 𝐴 𝐴 PROPN cana-5245 154 29 4 4 NUM cana-5245 154 30 βˆ’ βˆ’ PROPN cana-5245 154 31 𝐢 𝐢 PROPN cana-5245 154 32 ) ) PUNCT cana-5245 154 33 ( ( PUNCT cana-5245 154 34 5.4 5.4 NUM cana-5245 154 35 ) ) PUNCT cana-5245 154 36 𝑀𝑆𝐸(𝑑𝑒𝑝 𝑀𝑆𝐸(𝑑𝑒𝑝 PROPN cana-5245 154 37 βˆ— βˆ— NOUN cana-5245 154 38 ) ) PUNCT cana-5245 154 39 = = SYM cana-5245 154 40 οΏ½ οΏ½ NOUN cana-5245 154 41 Μ… Μ… NOUN cana-5245 154 42 οΏ½ οΏ½ NOUN cana-5245 154 43 2 2 NUM cana-5245 154 44 ( ( PUNCT cana-5245 154 45 𝐡 𝐡 NOUN cana-5245 154 46 + + NOUN cana-5245 154 47 𝐴 𝐴 PROPN cana-5245 154 48 4 4 NUM cana-5245 154 49 + + SYM cana-5245 154 50 𝐢 𝐢 PROPN cana-5245 154 51 ) ) PUNCT cana-5245 154 52 ( ( PUNCT cana-5245 154 53 5.5 5.5 NUM cana-5245 154 54 ) ) PUNCT cana-5245 154 55 𝑀𝑆𝐸(𝑑𝑠𝑠 𝑀𝑆𝐸(𝑑𝑠𝑠 PROPN cana-5245 154 56 βˆ— βˆ— NOUN cana-5245 154 57 ) ) PUNCT cana-5245 154 58 = = SYM cana-5245 154 59 οΏ½ οΏ½ NOUN cana-5245 154 60 Μ… Μ… NOUN cana-5245 154 61 οΏ½ οΏ½ NOUN cana-5245 154 62 2 2 NUM cana-5245 154 63 [ [ X cana-5245 154 64 𝐡 𝐡 NOUN cana-5245 154 65 βˆ’ βˆ’ PROPN cana-5245 154 66 𝐢2 𝐢2 PROPN cana-5245 154 67 𝐴 𝐴 PROPN cana-5245 154 68 ] ] PUNCT cana-5245 154 69 ( ( PUNCT cana-5245 154 70 5.6 5.6 NUM cana-5245 154 71 ) ) PUNCT cana-5245 154 72 below below ADV cana-5245 154 73 is be AUX cana-5245 154 74 the the DET cana-5245 154 75 comparison comparison NOUN cana-5245 154 76 between between ADP cana-5245 154 77 proposed propose VERB cana-5245 154 78 estimators estimator NOUN cana-5245 154 79 with with ADP cana-5245 154 80 another another DET cana-5245 154 81 existing exist VERB cana-5245 154 82 estimator estimator NOUN cana-5245 154 83 . . PUNCT cana-5245 155 1 efficiency efficiency NOUN cana-5245 155 2 condition condition NOUN cana-5245 155 3 over over ADP cana-5245 155 4 some some DET cana-5245 155 5 related related ADJ cana-5245 155 6 existing exist VERB cana-5245 155 7 estimators estimator NOUN cana-5245 155 8 . . PUNCT cana-5245 156 1 1 1 X cana-5245 156 2 . . X cana-5245 156 3 π‘‰π‘Žπ‘Ÿ π‘‰π‘Žπ‘Ÿ NOUN cana-5245 156 4 ( ( PUNCT cana-5245 156 5 οΏ½ οΏ½ NOUN cana-5245 156 6 Μ… Μ… NOUN cana-5245 156 7 οΏ½ οΏ½ NOUN cana-5245 156 8 βˆ— βˆ— NOUN cana-5245 156 9 ) ) PUNCT cana-5245 156 10 βˆ’ βˆ’ PROPN cana-5245 156 11 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘ 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘ PROPN cana-5245 156 12 βˆ— βˆ— VERB cana-5245 156 13 ) ) PUNCT cana-5245 157 1 = = SYM cana-5245 157 2 οΏ½ οΏ½ NOUN cana-5245 157 3 Μ… Μ… NOUN cana-5245 157 4 οΏ½ οΏ½ NOUN cana-5245 157 5 2𝐡 2𝐡 NOUN cana-5245 157 6 βˆ’ βˆ’ PROPN cana-5245 157 7 ( ( PUNCT cana-5245 157 8 𝑉1 𝑉1 PROPN cana-5245 157 9 βˆ’ βˆ’ PROPN cana-5245 157 10 1)2 1)2 NUM cana-5245 157 11 οΏ½ οΏ½ SYM cana-5245 157 12 Μ… Μ… NOUN cana-5245 157 13 οΏ½ οΏ½ NOUN cana-5245 157 14 2 2 NUM cana-5245 157 15 βˆ’ βˆ’ NOUN cana-5245 157 16 𝑉1 𝑉1 NOUN cana-5245 157 17 2 2 NUM cana-5245 157 18 οΏ½ οΏ½ NOUN cana-5245 157 19 Μ… Μ… NOUN cana-5245 157 20 οΏ½ οΏ½ NOUN cana-5245 157 21 2𝐡 2𝐡 NOUN cana-5245 157 22 βˆ’ βˆ’ PROPN cana-5245 157 23 𝑉2 𝑉2 PROPN cana-5245 157 24 2 2 NUM cana-5245 157 25 οΏ½ οΏ½ PROPN cana-5245 157 26 Μ… Μ… NOUN cana-5245 157 27 οΏ½ οΏ½ NOUN cana-5245 157 28 2𝐴 2𝐴 NOUN cana-5245 157 29 βˆ’ βˆ’ PROPN cana-5245 157 30 𝑉3 𝑉3 NOUN cana-5245 157 31 2 2 NUM cana-5245 157 32 οΏ½ οΏ½ NOUN cana-5245 157 33 Μ… Μ… NOUN cana-5245 157 34 οΏ½ οΏ½ NOUN cana-5245 157 35 π‘₯ π‘₯ NOUN cana-5245 157 36 2𝐷 2𝐷 NOUN cana-5245 157 37 + + CCONJ cana-5245 157 38 2𝑉1𝑉2 2𝑉1𝑉2 NUM cana-5245 157 39 οΏ½ οΏ½ NOUN cana-5245 157 40 Μ… Μ… NOUN cana-5245 157 41 οΏ½ οΏ½ NOUN cana-5245 157 42 οΏ½ οΏ½ NOUN cana-5245 157 43 Μ… Μ… NOUN cana-5245 157 44 οΏ½ οΏ½ NOUN cana-5245 157 45 𝐢 𝐢 PROPN cana-5245 157 46 + + CCONJ cana-5245 157 47 2𝑉1𝑉3 2𝑉1𝑉3 NUM cana-5245 157 48 οΏ½ οΏ½ NOUN cana-5245 157 49 Μ… Μ… NOUN cana-5245 157 50 οΏ½ οΏ½ NOUN cana-5245 157 51 οΏ½ οΏ½ NOUN cana-5245 157 52 Μ… Μ… NOUN cana-5245 157 53 οΏ½ οΏ½ NOUN cana-5245 157 54 π‘₯𝐸 π‘₯𝐸 ADJ cana-5245 157 55 βˆ’ βˆ’ PROPN cana-5245 157 56 2𝑉2𝑉3 2𝑉2𝑉3 NUM cana-5245 157 57 οΏ½ οΏ½ NOUN cana-5245 157 58 Μ… Μ… NOUN cana-5245 157 59 οΏ½ οΏ½ NOUN cana-5245 157 60 οΏ½ οΏ½ NOUN cana-5245 157 61 Μ… Μ… NOUN cana-5245 157 62 οΏ½ οΏ½ NOUN cana-5245 157 63 π‘₯𝐹 π‘₯𝐹 NOUN cana-5245 157 64 β‰₯ β‰₯ X cana-5245 157 65 0 0 NUM cana-5245 157 66 2 2 NUM cana-5245 157 67 . . PUNCT cana-5245 158 1 𝑀𝑆𝐸(π‘‘π‘Ÿ 𝑀𝑆𝐸(π‘‘π‘Ÿ NOUN cana-5245 158 2 βˆ— βˆ— NOUN cana-5245 158 3 ) ) PUNCT cana-5245 159 1 βˆ’ βˆ’ PROPN cana-5245 159 2 𝑀𝑆𝐸 𝑀𝑆𝐸 PROPN cana-5245 159 3 ( ( PUNCT cana-5245 159 4 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ NOUN cana-5245 159 5 βˆ— βˆ— NOUN cana-5245 159 6 ) ) PUNCT cana-5245 160 1 = = SYM cana-5245 160 2 οΏ½ οΏ½ SYM cana-5245 160 3 Μ… Μ… NOUN cana-5245 160 4 οΏ½ οΏ½ NOUN cana-5245 160 5 2(𝐡 2(𝐡 ADJ cana-5245 160 6 + + CCONJ cana-5245 160 7 𝐴 𝐴 PROPN cana-5245 160 8 βˆ’ βˆ’ PROPN cana-5245 160 9 2𝐢 2𝐢 NOUN cana-5245 160 10 ) ) PUNCT cana-5245 161 1 βˆ’ βˆ’ PROPN cana-5245 162 1 ( ( PUNCT cana-5245 162 2 𝑉1 𝑉1 NOUN cana-5245 162 3 βˆ’ βˆ’ PROPN cana-5245 162 4 1)2 1)2 NUM cana-5245 162 5 οΏ½ οΏ½ SYM cana-5245 162 6 Μ… Μ… NOUN cana-5245 162 7 οΏ½ οΏ½ NOUN cana-5245 162 8 2 2 NUM cana-5245 162 9 βˆ’ βˆ’ NOUN cana-5245 162 10 𝑉1 𝑉1 NOUN cana-5245 162 11 2 2 NUM cana-5245 162 12 οΏ½ οΏ½ NOUN cana-5245 162 13 Μ… Μ… NOUN cana-5245 162 14 οΏ½ οΏ½ NOUN cana-5245 162 15 2𝐡 2𝐡 NOUN cana-5245 162 16 βˆ’ βˆ’ PROPN cana-5245 162 17 𝑉2 𝑉2 PROPN cana-5245 162 18 2 2 NUM cana-5245 162 19 οΏ½ οΏ½ PROPN cana-5245 162 20 Μ… Μ… NOUN cana-5245 162 21 οΏ½ οΏ½ NOUN cana-5245 162 22 2𝐴 2𝐴 NOUN cana-5245 162 23 βˆ’ βˆ’ PROPN cana-5245 162 24 𝑉3 𝑉3 NOUN cana-5245 162 25 2 2 NUM cana-5245 162 26 οΏ½ οΏ½ NOUN cana-5245 162 27 Μ… Μ… NOUN cana-5245 162 28 οΏ½ οΏ½ NOUN cana-5245 162 29 π‘₯ π‘₯ NOUN cana-5245 162 30 2𝐷 2𝐷 NOUN cana-5245 162 31 + + CCONJ cana-5245 162 32 2𝑉1𝑉2 2𝑉1𝑉2 NUM cana-5245 162 33 οΏ½ οΏ½ NOUN cana-5245 162 34 Μ… Μ… NOUN cana-5245 162 35 οΏ½ οΏ½ NOUN cana-5245 162 36 οΏ½ οΏ½ NOUN cana-5245 162 37 Μ… Μ… NOUN cana-5245 162 38 οΏ½ οΏ½ NOUN cana-5245 162 39 𝐢 𝐢 PROPN cana-5245 162 40 + + CCONJ cana-5245 162 41 2𝑉1𝑉3 2𝑉1𝑉3 NUM cana-5245 162 42 οΏ½ οΏ½ NOUN cana-5245 162 43 Μ… Μ… NOUN cana-5245 162 44 οΏ½ οΏ½ NOUN cana-5245 162 45 οΏ½ οΏ½ NOUN cana-5245 162 46 Μ… Μ… NOUN cana-5245 162 47 οΏ½ οΏ½ NOUN cana-5245 162 48 π‘₯𝐸 π‘₯𝐸 ADJ cana-5245 162 49 βˆ’ βˆ’ PROPN cana-5245 162 50 2𝑉2𝑉3 2𝑉2𝑉3 NUM cana-5245 162 51 οΏ½ οΏ½ NOUN cana-5245 162 52 Μ… Μ… NOUN cana-5245 162 53 οΏ½ οΏ½ NOUN cana-5245 162 54 οΏ½ οΏ½ NOUN cana-5245 162 55 Μ… Μ… NOUN cana-5245 162 56 οΏ½ οΏ½ NOUN cana-5245 162 57 π‘₯𝐹 π‘₯𝐹 NOUN cana-5245 162 58 β‰₯ β‰₯ NOUN cana-5245 162 59 0 0 NUM cana-5245 162 60 3 3 X cana-5245 162 61 . . PUNCT cana-5245 163 1 𝑀𝑆𝐸(π‘‘π‘˜π‘  𝑀𝑆𝐸(π‘‘π‘˜π‘  PROPN cana-5245 163 2 βˆ— βˆ— X cana-5245 163 3 ) ) PUNCT cana-5245 164 1 βˆ’ βˆ’ PROPN cana-5245 164 2 𝑀𝑆𝐸 𝑀𝑆𝐸 PROPN cana-5245 164 3 ( ( PUNCT cana-5245 164 4 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ NOUN cana-5245 164 5 βˆ— βˆ— NOUN cana-5245 164 6 ) ) PUNCT cana-5245 165 1 = = SYM cana-5245 165 2 οΏ½ οΏ½ SYM cana-5245 165 3 Μ… Μ… NOUN cana-5245 165 4 οΏ½ οΏ½ NOUN cana-5245 165 5 2(𝐡 2(𝐡 ADJ cana-5245 165 6 + + PROPN cana-5245 165 7 𝐴 𝐴 PROPN cana-5245 165 8 + + CCONJ cana-5245 165 9 2𝐢 2𝐢 NOUN cana-5245 165 10 ) ) PUNCT cana-5245 165 11 βˆ’ βˆ’ PROPN cana-5245 165 12 ( ( PUNCT cana-5245 165 13 𝑉1 𝑉1 NOUN cana-5245 165 14 βˆ’ βˆ’ PROPN cana-5245 165 15 1)2 1)2 NUM cana-5245 165 16 οΏ½ οΏ½ SYM cana-5245 165 17 Μ… Μ… NOUN cana-5245 165 18 οΏ½ οΏ½ NOUN cana-5245 165 19 2 2 NUM cana-5245 165 20 βˆ’ βˆ’ NOUN cana-5245 165 21 𝑉1 𝑉1 NOUN cana-5245 165 22 2 2 NUM cana-5245 165 23 οΏ½ οΏ½ NOUN cana-5245 165 24 Μ… Μ… NOUN cana-5245 165 25 οΏ½ οΏ½ NOUN cana-5245 165 26 2𝐡 2𝐡 NOUN cana-5245 165 27 βˆ’ βˆ’ PROPN cana-5245 165 28 𝑉2 𝑉2 PROPN cana-5245 165 29 2 2 NUM cana-5245 165 30 οΏ½ οΏ½ PROPN cana-5245 165 31 Μ… Μ… NOUN cana-5245 165 32 οΏ½ οΏ½ NOUN cana-5245 165 33 2𝐴 2𝐴 NOUN cana-5245 165 34 βˆ’ βˆ’ PROPN cana-5245 165 35 𝑉3 𝑉3 NOUN cana-5245 165 36 2 2 NUM cana-5245 165 37 οΏ½ οΏ½ NOUN cana-5245 165 38 Μ… Μ… NOUN cana-5245 165 39 οΏ½ οΏ½ NOUN cana-5245 165 40 π‘₯ π‘₯ NOUN cana-5245 165 41 2𝐷 2𝐷 NOUN cana-5245 165 42 + + CCONJ cana-5245 165 43 2𝑉1𝑉2 2𝑉1𝑉2 NUM cana-5245 165 44 οΏ½ οΏ½ NOUN cana-5245 165 45 Μ… Μ… NOUN cana-5245 165 46 οΏ½ οΏ½ NOUN cana-5245 165 47 οΏ½ οΏ½ NOUN cana-5245 165 48 Μ… Μ… NOUN cana-5245 165 49 οΏ½ οΏ½ NOUN cana-5245 165 50 𝐢 𝐢 PROPN cana-5245 165 51 + + CCONJ cana-5245 165 52 2𝑉1𝑉3 2𝑉1𝑉3 NUM cana-5245 165 53 οΏ½ οΏ½ NOUN cana-5245 165 54 Μ… Μ… NOUN cana-5245 165 55 οΏ½ οΏ½ NOUN cana-5245 165 56 οΏ½ οΏ½ NOUN cana-5245 165 57 Μ… Μ… NOUN cana-5245 165 58 οΏ½ οΏ½ NOUN cana-5245 165 59 π‘₯𝐸 π‘₯𝐸 ADJ cana-5245 165 60 βˆ’ βˆ’ PROPN cana-5245 165 61 2𝑉2𝑉3 2𝑉2𝑉3 NUM cana-5245 165 62 οΏ½ οΏ½ NOUN cana-5245 165 63 Μ… Μ… NOUN cana-5245 165 64 οΏ½ οΏ½ NOUN cana-5245 165 65 οΏ½ οΏ½ NOUN cana-5245 165 66 Μ… Μ… NOUN cana-5245 165 67 οΏ½ οΏ½ NOUN cana-5245 165 68 π‘₯𝐹 π‘₯𝐹 NOUN cana-5245 165 69 β‰₯ β‰₯ X cana-5245 165 70 0 0 NUM cana-5245 165 71 4 4 NUM cana-5245 165 72 . . PUNCT cana-5245 166 1 𝑀𝑆𝐸(π‘‘π‘’π‘Ÿ 𝑀𝑆𝐸(π‘‘π‘’π‘Ÿ PROPN cana-5245 166 2 βˆ— βˆ— NOUN cana-5245 166 3 ) ) PUNCT cana-5245 167 1 βˆ’ βˆ’ PROPN cana-5245 167 2 𝑀𝑆𝐸 𝑀𝑆𝐸 PROPN cana-5245 167 3 ( ( PUNCT cana-5245 167 4 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ NOUN cana-5245 167 5 βˆ— βˆ— NOUN cana-5245 167 6 ) ) PUNCT cana-5245 168 1 = = SYM cana-5245 168 2 οΏ½ οΏ½ NOUN cana-5245 168 3 Μ… Μ… NOUN cana-5245 168 4 οΏ½ οΏ½ NOUN cana-5245 168 5 2 2 NUM cana-5245 168 6 ( ( PUNCT cana-5245 168 7 𝐡 𝐡 NOUN cana-5245 168 8 + + NOUN cana-5245 168 9 𝐴 𝐴 PROPN cana-5245 168 10 4 4 NUM cana-5245 168 11 βˆ’ βˆ’ PROPN cana-5245 168 12 𝐢 𝐢 PROPN cana-5245 168 13 ) ) PUNCT cana-5245 168 14 βˆ’ βˆ’ PROPN cana-5245 168 15 ( ( PUNCT cana-5245 168 16 𝑉1 𝑉1 NOUN cana-5245 168 17 βˆ’ βˆ’ PROPN cana-5245 168 18 1)2 1)2 NUM cana-5245 168 19 οΏ½ οΏ½ SYM cana-5245 168 20 Μ… Μ… NOUN cana-5245 168 21 οΏ½ οΏ½ NOUN cana-5245 168 22 2 2 NUM cana-5245 168 23 βˆ’ βˆ’ NOUN cana-5245 168 24 𝑉1 𝑉1 NOUN cana-5245 168 25 2 2 NUM cana-5245 168 26 οΏ½ οΏ½ NOUN cana-5245 168 27 Μ… Μ… NOUN cana-5245 168 28 οΏ½ οΏ½ NOUN cana-5245 168 29 2𝐡 2𝐡 NOUN cana-5245 168 30 βˆ’ βˆ’ PROPN cana-5245 168 31 𝑉2 𝑉2 PROPN cana-5245 168 32 2 2 NUM cana-5245 168 33 οΏ½ οΏ½ PROPN cana-5245 168 34 Μ… Μ… NOUN cana-5245 168 35 οΏ½ οΏ½ NOUN cana-5245 168 36 2𝐴 2𝐴 NOUN cana-5245 168 37 βˆ’ βˆ’ PROPN cana-5245 168 38 𝑉3 𝑉3 NOUN cana-5245 168 39 2 2 NUM cana-5245 168 40 οΏ½ οΏ½ NOUN cana-5245 168 41 Μ… Μ… NOUN cana-5245 168 42 οΏ½ οΏ½ NOUN cana-5245 168 43 π‘₯ π‘₯ NOUN cana-5245 168 44 2𝐷 2𝐷 NOUN cana-5245 168 45 + + CCONJ cana-5245 168 46 2𝑉1𝑉2 2𝑉1𝑉2 NUM cana-5245 168 47 οΏ½ οΏ½ NOUN cana-5245 168 48 Μ… Μ… NOUN cana-5245 168 49 οΏ½ οΏ½ NOUN cana-5245 168 50 οΏ½ οΏ½ NOUN cana-5245 168 51 Μ… Μ… NOUN cana-5245 168 52 οΏ½ οΏ½ NOUN cana-5245 168 53 𝐢 𝐢 PROPN cana-5245 168 54 + + CCONJ cana-5245 168 55 2𝑉1𝑉3 2𝑉1𝑉3 NUM cana-5245 168 56 οΏ½ οΏ½ NOUN cana-5245 168 57 Μ… Μ… NOUN cana-5245 168 58 οΏ½ οΏ½ NOUN cana-5245 168 59 οΏ½ οΏ½ NOUN cana-5245 168 60 Μ… Μ… NOUN cana-5245 168 61 οΏ½ οΏ½ NOUN cana-5245 168 62 π‘₯𝐸 π‘₯𝐸 ADJ cana-5245 168 63 βˆ’ βˆ’ PROPN cana-5245 168 64 2𝑉2𝑉3 2𝑉2𝑉3 NUM cana-5245 168 65 οΏ½ οΏ½ NOUN cana-5245 168 66 Μ… Μ… NOUN cana-5245 168 67 οΏ½ οΏ½ NOUN cana-5245 168 68 οΏ½ οΏ½ NOUN cana-5245 168 69 Μ… Μ… NOUN cana-5245 168 70 οΏ½ οΏ½ NOUN cana-5245 168 71 π‘₯𝐹 π‘₯𝐹 NOUN cana-5245 168 72 β‰₯ β‰₯ X cana-5245 168 73 0 0 NUM cana-5245 168 74 5 5 NUM cana-5245 168 75 . . PUNCT cana-5245 169 1 𝑀𝑆𝐸(𝑑𝑒𝑝 𝑀𝑆𝐸(𝑑𝑒𝑝 PROPN cana-5245 169 2 βˆ— βˆ— X cana-5245 169 3 ) ) PUNCT cana-5245 170 1 βˆ’ βˆ’ ADP cana-5245 170 2 𝑀𝑆𝐸 𝑀𝑆𝐸 PROPN cana-5245 170 3 ( ( PUNCT cana-5245 170 4 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ NOUN cana-5245 170 5 βˆ— βˆ— NOUN cana-5245 170 6 ) ) PUNCT cana-5245 171 1 = = SYM cana-5245 171 2 οΏ½ οΏ½ NOUN cana-5245 171 3 Μ… Μ… NOUN cana-5245 171 4 οΏ½ οΏ½ NOUN cana-5245 171 5 2 2 NUM cana-5245 171 6 ( ( PUNCT cana-5245 171 7 𝐡 𝐡 NOUN cana-5245 171 8 + + NOUN cana-5245 171 9 𝐴 𝐴 PROPN cana-5245 171 10 4 4 NUM cana-5245 171 11 + + SYM cana-5245 171 12 𝐢 𝐢 PROPN cana-5245 171 13 ) ) PUNCT cana-5245 171 14 βˆ’ βˆ’ PROPN cana-5245 171 15 ( ( PUNCT cana-5245 171 16 𝑉1 𝑉1 NOUN cana-5245 171 17 βˆ’ βˆ’ PROPN cana-5245 171 18 1)2 1)2 NUM cana-5245 171 19 οΏ½ οΏ½ SYM cana-5245 171 20 Μ… Μ… NOUN cana-5245 171 21 οΏ½ οΏ½ NOUN cana-5245 171 22 2 2 NUM cana-5245 171 23 βˆ’ βˆ’ NOUN cana-5245 171 24 𝑉1 𝑉1 NOUN cana-5245 171 25 2 2 NUM cana-5245 171 26 οΏ½ οΏ½ NOUN cana-5245 171 27 Μ… Μ… NOUN cana-5245 171 28 οΏ½ οΏ½ NOUN cana-5245 171 29 2𝐡 2𝐡 NOUN cana-5245 171 30 βˆ’ βˆ’ PROPN cana-5245 171 31 𝑉2 𝑉2 PROPN cana-5245 171 32 2 2 NUM cana-5245 171 33 οΏ½ οΏ½ PROPN cana-5245 171 34 Μ… Μ… NOUN cana-5245 171 35 οΏ½ οΏ½ NOUN cana-5245 171 36 2𝐴 2𝐴 NOUN cana-5245 171 37 βˆ’ βˆ’ PROPN cana-5245 171 38 𝑉3 𝑉3 NOUN cana-5245 171 39 2 2 NUM cana-5245 171 40 οΏ½ οΏ½ NOUN cana-5245 171 41 Μ… Μ… NOUN cana-5245 171 42 οΏ½ οΏ½ NOUN cana-5245 171 43 π‘₯ π‘₯ NOUN cana-5245 171 44 2𝐷 2𝐷 NOUN cana-5245 171 45 + + CCONJ cana-5245 171 46 2𝑉1𝑉2 2𝑉1𝑉2 NUM cana-5245 171 47 οΏ½ οΏ½ NOUN cana-5245 171 48 Μ… Μ… NOUN cana-5245 171 49 οΏ½ οΏ½ NOUN cana-5245 171 50 οΏ½ οΏ½ NOUN cana-5245 171 51 Μ… Μ… NOUN cana-5245 171 52 οΏ½ οΏ½ NOUN cana-5245 171 53 𝐢 𝐢 PROPN cana-5245 171 54 + + CCONJ cana-5245 171 55 2𝑉1𝑉3 2𝑉1𝑉3 NUM cana-5245 171 56 οΏ½ οΏ½ NOUN cana-5245 171 57 Μ… Μ… NOUN cana-5245 171 58 οΏ½ οΏ½ NOUN cana-5245 171 59 οΏ½ οΏ½ NOUN cana-5245 171 60 Μ… Μ… NOUN cana-5245 171 61 οΏ½ οΏ½ NOUN cana-5245 171 62 π‘₯𝐸 π‘₯𝐸 ADJ cana-5245 171 63 βˆ’ βˆ’ PROPN cana-5245 171 64 2𝑉2𝑉3 2𝑉2𝑉3 NUM cana-5245 171 65 οΏ½ οΏ½ NOUN cana-5245 171 66 Μ… Μ… NOUN cana-5245 171 67 οΏ½ οΏ½ NOUN cana-5245 171 68 οΏ½ οΏ½ NOUN cana-5245 171 69 Μ… Μ… NOUN cana-5245 171 70 οΏ½ οΏ½ NOUN cana-5245 171 71 π‘₯𝐹 π‘₯𝐹 NOUN cana-5245 171 72 β‰₯ β‰₯ NOUN cana-5245 171 73 0 0 NUM cana-5245 171 74 6 6 NUM cana-5245 171 75 . . PUNCT cana-5245 172 1 π‘‰π‘Žπ‘Ÿ( π‘‰π‘Žπ‘Ÿ( ADP cana-5245 172 2 οΏ½ οΏ½ PROPN cana-5245 172 3 Μ… Μ… NOUN cana-5245 172 4 οΏ½ οΏ½ NOUN cana-5245 172 5 βˆ— βˆ— NOUN cana-5245 172 6 ) ) PUNCT cana-5245 172 7 βˆ’ βˆ’ PROPN cana-5245 172 8 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘1 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘1 NOUN cana-5245 172 9 βˆ— βˆ— NOUN cana-5245 172 10 ) ) PUNCT cana-5245 172 11 = = SYM cana-5245 172 12 οΏ½ οΏ½ NOUN cana-5245 172 13 Μ… Μ… NOUN cana-5245 172 14 οΏ½ οΏ½ NOUN cana-5245 172 15 2𝐡 2𝐡 NOUN cana-5245 172 16 βˆ’ βˆ’ PROPN cana-5245 172 17 ( ( PUNCT cana-5245 172 18 𝑉11 𝑉11 PROPN cana-5245 172 19 βˆ’ βˆ’ PROPN cana-5245 172 20 1)2 1)2 NUM cana-5245 172 21 οΏ½ οΏ½ SYM cana-5245 172 22 Μ… Μ… NOUN cana-5245 172 23 οΏ½ οΏ½ NOUN cana-5245 172 24 2 2 NUM cana-5245 172 25 βˆ’ βˆ’ PROPN cana-5245 172 26 𝑉11 𝑉11 PROPN cana-5245 172 27 2 2 NUM cana-5245 172 28 οΏ½ οΏ½ NOUN cana-5245 172 29 Μ… Μ… NOUN cana-5245 172 30 οΏ½ οΏ½ NOUN cana-5245 172 31 2𝐡 2𝐡 NOUN cana-5245 172 32 βˆ’ βˆ’ PROPN cana-5245 172 33 𝑉13 𝑉13 PROPN cana-5245 172 34 2 2 NUM cana-5245 172 35 οΏ½ οΏ½ NOUN cana-5245 172 36 Μ… Μ… NOUN cana-5245 172 37 οΏ½ οΏ½ NOUN cana-5245 172 38 π‘₯ π‘₯ NOUN cana-5245 172 39 2𝐷 2𝐷 NOUN cana-5245 172 40 + + NOUN cana-5245 172 41 2𝑉11𝑉13 2𝑉11𝑉13 NUM cana-5245 172 42 οΏ½ οΏ½ NOUN cana-5245 172 43 Μ… Μ… NOUN cana-5245 172 44 οΏ½ οΏ½ NOUN cana-5245 172 45 οΏ½ οΏ½ NOUN cana-5245 172 46 Μ… Μ… NOUN cana-5245 172 47 οΏ½ οΏ½ NOUN cana-5245 172 48 π‘₯𝐸 π‘₯𝐸 ADJ cana-5245 172 49 β‰₯ β‰₯ NOUN cana-5245 172 50 0 0 NUM cana-5245 172 51 7 7 NUM cana-5245 172 52 . . PUNCT cana-5245 173 1 𝑀𝑆𝐸(π‘‘π‘Ÿ 𝑀𝑆𝐸(π‘‘π‘Ÿ NOUN cana-5245 173 2 βˆ— βˆ— NOUN cana-5245 173 3 ) ) PUNCT cana-5245 174 1 βˆ’ βˆ’ PROPN cana-5245 174 2 𝑀𝑆𝐸 𝑀𝑆𝐸 PROPN cana-5245 174 3 ( ( PUNCT cana-5245 174 4 π‘‘π‘Ÿπ‘1 π‘‘π‘Ÿπ‘1 NOUN cana-5245 174 5 βˆ— βˆ— NOUN cana-5245 174 6 ) ) PUNCT cana-5245 175 1 = = SYM cana-5245 175 2 οΏ½ οΏ½ SYM cana-5245 175 3 Μ… Μ… NOUN cana-5245 175 4 οΏ½ οΏ½ NOUN cana-5245 175 5 2(𝐡 2(𝐡 ADJ cana-5245 175 6 + + CCONJ cana-5245 175 7 𝐴 𝐴 PROPN cana-5245 175 8 βˆ’ βˆ’ PROPN cana-5245 175 9 2𝐢 2𝐢 NOUN cana-5245 175 10 ) ) PUNCT cana-5245 175 11 βˆ’ βˆ’ PROPN cana-5245 176 1 ( ( PUNCT cana-5245 176 2 𝑉11 𝑉11 PROPN cana-5245 176 3 βˆ’ βˆ’ PROPN cana-5245 176 4 1)2 1)2 NUM cana-5245 176 5 οΏ½ οΏ½ SYM cana-5245 176 6 Μ… Μ… NOUN cana-5245 176 7 οΏ½ οΏ½ NOUN cana-5245 176 8 2 2 NUM cana-5245 176 9 βˆ’ βˆ’ PROPN cana-5245 176 10 𝑉11 𝑉11 PROPN cana-5245 176 11 2 2 NUM cana-5245 176 12 οΏ½ οΏ½ NOUN cana-5245 176 13 Μ… Μ… NOUN cana-5245 176 14 οΏ½ οΏ½ NOUN cana-5245 176 15 2𝐡 2𝐡 NOUN cana-5245 176 16 βˆ’ βˆ’ PROPN cana-5245 176 17 𝑉13 𝑉13 PROPN cana-5245 176 18 2 2 NUM cana-5245 176 19 οΏ½ οΏ½ NOUN cana-5245 176 20 Μ… Μ… NOUN cana-5245 176 21 οΏ½ οΏ½ NOUN cana-5245 176 22 π‘₯ π‘₯ NOUN cana-5245 176 23 2𝐷 2𝐷 NOUN cana-5245 176 24 + + NOUN cana-5245 176 25 2𝑉11𝑉13 2𝑉11𝑉13 NUM cana-5245 176 26 οΏ½ οΏ½ NOUN cana-5245 176 27 Μ… Μ… NOUN cana-5245 176 28 οΏ½ οΏ½ NOUN cana-5245 176 29 οΏ½ οΏ½ NOUN cana-5245 176 30 Μ… Μ… NOUN cana-5245 176 31 οΏ½ οΏ½ NOUN cana-5245 176 32 π‘₯𝐸 π‘₯𝐸 ADJ cana-5245 176 33 β‰₯ β‰₯ NOUN cana-5245 176 34 0 0 NUM cana-5245 176 35 8 8 NUM cana-5245 176 36 . . PUNCT cana-5245 177 1 𝑀𝑆𝐸(π‘‘π‘˜π‘  𝑀𝑆𝐸(π‘‘π‘˜π‘  PROPN cana-5245 177 2 βˆ— βˆ— X cana-5245 177 3 ) ) PUNCT cana-5245 178 1 βˆ’ βˆ’ PROPN cana-5245 178 2 𝑀𝑆𝐸 𝑀𝑆𝐸 PROPN cana-5245 178 3 ( ( PUNCT cana-5245 178 4 π‘‘π‘Ÿπ‘1 π‘‘π‘Ÿπ‘1 NOUN cana-5245 178 5 βˆ— βˆ— NOUN cana-5245 178 6 ) ) PUNCT cana-5245 179 1 = = SYM cana-5245 179 2 οΏ½ οΏ½ SYM cana-5245 179 3 Μ… Μ… NOUN cana-5245 179 4 οΏ½ οΏ½ NOUN cana-5245 179 5 2(𝐡 2(𝐡 ADJ cana-5245 179 6 + + PROPN cana-5245 179 7 𝐴 𝐴 PROPN cana-5245 179 8 + + CCONJ cana-5245 179 9 2𝐢 2𝐢 NOUN cana-5245 179 10 ) ) PUNCT cana-5245 179 11 βˆ’ βˆ’ PROPN cana-5245 179 12 ( ( PUNCT cana-5245 179 13 𝑉11 𝑉11 PROPN cana-5245 179 14 βˆ’ βˆ’ PROPN cana-5245 179 15 1)2 1)2 NUM cana-5245 179 16 οΏ½ οΏ½ SYM cana-5245 179 17 Μ… Μ… NOUN cana-5245 179 18 οΏ½ οΏ½ NOUN cana-5245 179 19 2 2 NUM cana-5245 179 20 βˆ’ βˆ’ PROPN cana-5245 179 21 𝑉11 𝑉11 PROPN cana-5245 179 22 2 2 NUM cana-5245 179 23 οΏ½ οΏ½ NOUN cana-5245 179 24 Μ… Μ… NOUN cana-5245 179 25 οΏ½ οΏ½ NOUN cana-5245 179 26 2𝐡 2𝐡 NOUN cana-5245 179 27 βˆ’ βˆ’ PROPN cana-5245 179 28 𝑉13 𝑉13 PROPN cana-5245 179 29 2 2 NUM cana-5245 179 30 οΏ½ οΏ½ NOUN cana-5245 179 31 Μ… Μ… NOUN cana-5245 179 32 οΏ½ οΏ½ NOUN cana-5245 179 33 π‘₯ π‘₯ NOUN cana-5245 179 34 2𝐷 2𝐷 NOUN cana-5245 179 35 + + NOUN cana-5245 179 36 2𝑉11𝑉13 2𝑉11𝑉13 NUM cana-5245 179 37 οΏ½ οΏ½ NOUN cana-5245 179 38 Μ… Μ… NOUN cana-5245 179 39 οΏ½ οΏ½ NOUN cana-5245 179 40 οΏ½ οΏ½ NOUN cana-5245 179 41 Μ… Μ… NOUN cana-5245 179 42 οΏ½ οΏ½ NOUN cana-5245 179 43 π‘₯𝐸 π‘₯𝐸 ADJ cana-5245 179 44 β‰₯ β‰₯ NOUN cana-5245 179 45 0 0 NUM cana-5245 179 46 9 9 NUM cana-5245 179 47 . . PUNCT cana-5245 180 1 𝑀𝑆𝐸(π‘‘π‘’π‘Ÿ 𝑀𝑆𝐸(π‘‘π‘’π‘Ÿ PROPN cana-5245 180 2 βˆ— βˆ— NOUN cana-5245 180 3 ) ) PUNCT cana-5245 180 4 βˆ’ βˆ’ PROPN cana-5245 180 5 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘1 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘1 NOUN cana-5245 180 6 βˆ— βˆ— NOUN cana-5245 180 7 ) ) PUNCT cana-5245 180 8 = = SYM cana-5245 180 9 οΏ½ οΏ½ NOUN cana-5245 180 10 Μ… Μ… NOUN cana-5245 180 11 οΏ½ οΏ½ NOUN cana-5245 180 12 2 2 NUM cana-5245 180 13 ( ( PUNCT cana-5245 180 14 𝐡 𝐡 NOUN cana-5245 180 15 + + NOUN cana-5245 180 16 𝐴 𝐴 PROPN cana-5245 180 17 4 4 NUM cana-5245 180 18 βˆ’ βˆ’ PROPN cana-5245 180 19 𝐢 𝐢 PROPN cana-5245 180 20 ) ) PUNCT cana-5245 180 21 βˆ’ βˆ’ PROPN cana-5245 180 22 ( ( PUNCT cana-5245 180 23 𝑉11 𝑉11 PROPN cana-5245 180 24 βˆ’ βˆ’ PROPN cana-5245 180 25 1)2 1)2 NUM cana-5245 180 26 οΏ½ οΏ½ SYM cana-5245 180 27 Μ… Μ… NOUN cana-5245 180 28 οΏ½ οΏ½ NOUN cana-5245 180 29 2 2 NUM cana-5245 180 30 βˆ’ βˆ’ PROPN cana-5245 180 31 𝑉11 𝑉11 PROPN cana-5245 180 32 2 2 NUM cana-5245 180 33 οΏ½ οΏ½ NOUN cana-5245 180 34 Μ… Μ… NOUN cana-5245 180 35 οΏ½ οΏ½ NOUN cana-5245 180 36 2𝐡 2𝐡 NOUN cana-5245 180 37 βˆ’ βˆ’ PROPN cana-5245 180 38 𝑉13 𝑉13 PROPN cana-5245 180 39 2 2 NUM cana-5245 180 40 οΏ½ οΏ½ NOUN cana-5245 180 41 Μ… Μ… NOUN cana-5245 180 42 οΏ½ οΏ½ NOUN cana-5245 180 43 π‘₯ π‘₯ NOUN cana-5245 180 44 2𝐷 2𝐷 NOUN cana-5245 180 45 + + NOUN cana-5245 180 46 2𝑉11𝑉13 2𝑉11𝑉13 NUM cana-5245 180 47 οΏ½ οΏ½ NOUN cana-5245 180 48 Μ… Μ… NOUN cana-5245 180 49 οΏ½ οΏ½ NOUN cana-5245 180 50 οΏ½ οΏ½ NOUN cana-5245 180 51 Μ… Μ… NOUN cana-5245 180 52 οΏ½ οΏ½ NOUN cana-5245 180 53 π‘₯𝐸 π‘₯𝐸 ADJ cana-5245 180 54 β‰₯ β‰₯ NOUN cana-5245 180 55 0 0 NUM cana-5245 180 56 10 10 NUM cana-5245 180 57 . . PUNCT cana-5245 181 1 𝑀𝑆𝐸(𝑑𝑒𝑝 𝑀𝑆𝐸(𝑑𝑒𝑝 PROPN cana-5245 181 2 βˆ— βˆ— NOUN cana-5245 181 3 ) ) PUNCT cana-5245 182 1 βˆ’ βˆ’ PROPN cana-5245 182 2 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘1 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘1 NOUN cana-5245 182 3 βˆ— βˆ— NOUN cana-5245 182 4 ) ) PUNCT cana-5245 183 1 = = SYM cana-5245 183 2 οΏ½ οΏ½ NOUN cana-5245 183 3 Μ… Μ… NOUN cana-5245 183 4 οΏ½ οΏ½ NOUN cana-5245 183 5 2 2 NUM cana-5245 183 6 ( ( PUNCT cana-5245 183 7 𝐡 𝐡 NOUN cana-5245 183 8 + + NOUN cana-5245 183 9 𝐴 𝐴 PROPN cana-5245 183 10 4 4 NUM cana-5245 183 11 + + SYM cana-5245 183 12 𝐢 𝐢 PROPN cana-5245 183 13 ) ) PUNCT cana-5245 183 14 βˆ’ βˆ’ PROPN cana-5245 183 15 ( ( PUNCT cana-5245 183 16 𝑉11 𝑉11 PROPN cana-5245 183 17 βˆ’ βˆ’ PROPN cana-5245 183 18 1)2 1)2 NUM cana-5245 183 19 οΏ½ οΏ½ SYM cana-5245 183 20 Μ… Μ… NOUN cana-5245 183 21 οΏ½ οΏ½ NOUN cana-5245 183 22 2 2 NUM cana-5245 183 23 βˆ’ βˆ’ PROPN cana-5245 183 24 𝑉11 𝑉11 PROPN cana-5245 183 25 2 2 NUM cana-5245 183 26 οΏ½ οΏ½ NOUN cana-5245 183 27 Μ… Μ… NOUN cana-5245 183 28 οΏ½ οΏ½ NOUN cana-5245 183 29 2𝐡 2𝐡 NOUN cana-5245 183 30 βˆ’ βˆ’ PROPN cana-5245 183 31 𝑉13 𝑉13 PROPN cana-5245 183 32 2 2 NUM cana-5245 183 33 οΏ½ οΏ½ NOUN cana-5245 183 34 Μ… Μ… NOUN cana-5245 183 35 οΏ½ οΏ½ NOUN cana-5245 183 36 π‘₯ π‘₯ NOUN cana-5245 183 37 2𝐷 2𝐷 NOUN cana-5245 183 38 + + NOUN cana-5245 183 39 2𝑉11𝑉13 2𝑉11𝑉13 NUM cana-5245 183 40 οΏ½ οΏ½ NOUN cana-5245 183 41 Μ… Μ… NOUN cana-5245 183 42 οΏ½ οΏ½ NOUN cana-5245 183 43 οΏ½ οΏ½ NOUN cana-5245 183 44 Μ… Μ… NOUN cana-5245 183 45 οΏ½ οΏ½ NOUN cana-5245 183 46 π‘₯𝐸 π‘₯𝐸 ADJ cana-5245 183 47 β‰₯ β‰₯ NOUN cana-5245 183 48 0 0 NUM cana-5245 183 49 communications communication NOUN cana-5245 183 50 on on ADP cana-5245 183 51 applied apply VERB cana-5245 183 52 nonlinear nonlinear ADJ cana-5245 183 53 analysis analysis NOUN cana-5245 183 54 issn issn NOUN cana-5245 183 55 : : PUNCT cana-5245 183 56 1074 1074 NUM cana-5245 183 57 - - PUNCT cana-5245 183 58 133x 133x NUM cana-5245 183 59 vol vol VERB cana-5245 183 60 32 32 NUM cana-5245 183 61 no no NOUN cana-5245 183 62 . . PUNCT cana-5245 184 1 10s 10 NOUN cana-5245 184 2 ( ( PUNCT cana-5245 184 3 2025 2025 NUM cana-5245 184 4 ) ) PUNCT cana-5245 184 5 1461 1461 NUM cana-5245 184 6 https://internationalpubls.com https://internationalpubls.com X cana-5245 184 7 11 11 NUM cana-5245 184 8 . . PUNCT cana-5245 185 1 π‘‰π‘Žπ‘Ÿ( π‘‰π‘Žπ‘Ÿ( ADP cana-5245 185 2 οΏ½ οΏ½ PROPN cana-5245 185 3 Μ… Μ… NOUN cana-5245 185 4 οΏ½ οΏ½ NOUN cana-5245 185 5 βˆ— βˆ— NOUN cana-5245 185 6 ) ) PUNCT cana-5245 185 7 βˆ’ βˆ’ PROPN cana-5245 185 8 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘2 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘2 PROPN cana-5245 185 9 βˆ— βˆ— NOUN cana-5245 185 10 ) ) PUNCT cana-5245 185 11 = = SYM cana-5245 185 12 οΏ½ οΏ½ NOUN cana-5245 185 13 Μ… Μ… NOUN cana-5245 185 14 οΏ½ οΏ½ NOUN cana-5245 185 15 2𝐡 2𝐡 NOUN cana-5245 185 16 βˆ’ βˆ’ PROPN cana-5245 186 1 ( ( PUNCT cana-5245 186 2 𝑉21 𝑉21 NOUN cana-5245 186 3 βˆ’ βˆ’ PROPN cana-5245 186 4 1)2 1)2 NUM cana-5245 186 5 οΏ½ οΏ½ SYM cana-5245 186 6 Μ… Μ… NOUN cana-5245 186 7 οΏ½ οΏ½ NOUN cana-5245 186 8 2 2 NUM cana-5245 186 9 βˆ’ βˆ’ PROPN cana-5245 186 10 𝑉21 𝑉21 PROPN cana-5245 186 11 2 2 NUM cana-5245 186 12 οΏ½ οΏ½ NOUN cana-5245 186 13 Μ… Μ… NOUN cana-5245 186 14 οΏ½ οΏ½ NOUN cana-5245 186 15 2𝐡 2𝐡 NOUN cana-5245 186 16 βˆ’ βˆ’ NOUN cana-5245 186 17 𝑉22 𝑉22 PROPN cana-5245 186 18 2 2 NUM cana-5245 186 19 οΏ½ οΏ½ NOUN cana-5245 186 20 Μ… Μ… NOUN cana-5245 186 21 οΏ½ οΏ½ NOUN cana-5245 186 22 2𝐴 2𝐴 NOUN cana-5245 186 23 + + CCONJ cana-5245 186 24 2𝑉21𝑉22 2𝑉21𝑉22 NUM cana-5245 186 25 οΏ½ οΏ½ NOUN cana-5245 186 26 Μ… Μ… NOUN cana-5245 186 27 οΏ½ οΏ½ NOUN cana-5245 186 28 οΏ½ οΏ½ NOUN cana-5245 186 29 Μ… Μ… NOUN cana-5245 186 30 οΏ½ οΏ½ NOUN cana-5245 186 31 𝐢 𝐢 PROPN cana-5245 186 32 β‰₯ β‰₯ NUM cana-5245 186 33 0 0 NUM cana-5245 186 34 12 12 NUM cana-5245 186 35 . . PUNCT cana-5245 187 1 𝑀𝑆𝐸(π‘‘π‘Ÿ 𝑀𝑆𝐸(π‘‘π‘Ÿ VERB cana-5245 187 2 βˆ— βˆ— NOUN cana-5245 187 3 ) ) PUNCT cana-5245 187 4 βˆ’ βˆ’ PROPN cana-5245 187 5 𝑀𝑆𝐸 𝑀𝑆𝐸 PROPN cana-5245 187 6 ( ( PUNCT cana-5245 187 7 π‘‘π‘Ÿπ‘2 π‘‘π‘Ÿπ‘2 NOUN cana-5245 187 8 βˆ— βˆ— NOUN cana-5245 187 9 ) ) PUNCT cana-5245 188 1 = = SYM cana-5245 188 2 οΏ½ οΏ½ SYM cana-5245 188 3 Μ… Μ… NOUN cana-5245 188 4 οΏ½ οΏ½ NOUN cana-5245 188 5 2(𝐡 2(𝐡 ADJ cana-5245 188 6 + + CCONJ cana-5245 188 7 𝐴 𝐴 PROPN cana-5245 188 8 βˆ’ βˆ’ PROPN cana-5245 188 9 2𝐢 2𝐢 NOUN cana-5245 188 10 ) ) PUNCT cana-5245 188 11 βˆ’ βˆ’ PROPN cana-5245 189 1 ( ( PUNCT cana-5245 189 2 𝑉21 𝑉21 NOUN cana-5245 189 3 βˆ’ βˆ’ PROPN cana-5245 189 4 1)2 1)2 NUM cana-5245 189 5 οΏ½ οΏ½ SYM cana-5245 189 6 Μ… Μ… NOUN cana-5245 189 7 οΏ½ οΏ½ NOUN cana-5245 189 8 2 2 NUM cana-5245 189 9 βˆ’ βˆ’ PROPN cana-5245 189 10 𝑉21 𝑉21 PROPN cana-5245 189 11 2 2 NUM cana-5245 189 12 οΏ½ οΏ½ NOUN cana-5245 189 13 Μ… Μ… NOUN cana-5245 189 14 οΏ½ οΏ½ NOUN cana-5245 189 15 2𝐡 2𝐡 NOUN cana-5245 189 16 βˆ’ βˆ’ NOUN cana-5245 189 17 𝑉22 𝑉22 PROPN cana-5245 189 18 2 2 NUM cana-5245 189 19 οΏ½ οΏ½ NOUN cana-5245 189 20 Μ… Μ… NOUN cana-5245 189 21 οΏ½ οΏ½ NOUN cana-5245 189 22 2𝐴 2𝐴 NOUN cana-5245 189 23 + + CCONJ cana-5245 189 24 2𝑉21𝑉22 2𝑉21𝑉22 NUM cana-5245 189 25 οΏ½ οΏ½ NOUN cana-5245 189 26 Μ… Μ… NOUN cana-5245 189 27 οΏ½ οΏ½ NOUN cana-5245 189 28 οΏ½ οΏ½ NOUN cana-5245 189 29 Μ… Μ… NOUN cana-5245 189 30 οΏ½ οΏ½ NOUN cana-5245 189 31 𝐢 𝐢 PROPN cana-5245 189 32 β‰₯ β‰₯ NUM cana-5245 189 33 0 0 NUM cana-5245 189 34 13 13 NUM cana-5245 189 35 . . PUNCT cana-5245 190 1 𝑀𝑆𝐸(π‘‘π‘˜π‘  𝑀𝑆𝐸(π‘‘π‘˜π‘  PROPN cana-5245 190 2 βˆ— βˆ— X cana-5245 190 3 ) ) PUNCT cana-5245 191 1 βˆ’ βˆ’ ADP cana-5245 191 2 𝑀𝑆𝐸 𝑀𝑆𝐸 PROPN cana-5245 191 3 ( ( PUNCT cana-5245 191 4 π‘‘π‘Ÿπ‘2 π‘‘π‘Ÿπ‘2 NOUN cana-5245 191 5 βˆ— βˆ— NOUN cana-5245 191 6 ) ) PUNCT cana-5245 192 1 = = SYM cana-5245 192 2 οΏ½ οΏ½ SYM cana-5245 192 3 Μ… Μ… NOUN cana-5245 192 4 οΏ½ οΏ½ NOUN cana-5245 192 5 2(𝐡 2(𝐡 ADJ cana-5245 192 6 + + PROPN cana-5245 192 7 𝐴 𝐴 PROPN cana-5245 192 8 + + CCONJ cana-5245 192 9 2𝐢 2𝐢 NOUN cana-5245 192 10 ) ) PUNCT cana-5245 192 11 βˆ’ βˆ’ PROPN cana-5245 193 1 ( ( PUNCT cana-5245 193 2 𝑉21 𝑉21 NOUN cana-5245 193 3 βˆ’ βˆ’ PROPN cana-5245 193 4 1)2 1)2 NUM cana-5245 193 5 οΏ½ οΏ½ SYM cana-5245 193 6 Μ… Μ… NOUN cana-5245 193 7 οΏ½ οΏ½ NOUN cana-5245 193 8 2 2 NUM cana-5245 193 9 βˆ’ βˆ’ PROPN cana-5245 193 10 𝑉21 𝑉21 PROPN cana-5245 193 11 2 2 NUM cana-5245 193 12 οΏ½ οΏ½ NOUN cana-5245 193 13 Μ… Μ… NOUN cana-5245 193 14 οΏ½ οΏ½ NOUN cana-5245 193 15 2𝐡 2𝐡 NOUN cana-5245 193 16 βˆ’ βˆ’ NOUN cana-5245 193 17 𝑉22 𝑉22 PROPN cana-5245 193 18 2 2 NUM cana-5245 193 19 οΏ½ οΏ½ NOUN cana-5245 193 20 Μ… Μ… NOUN cana-5245 193 21 οΏ½ οΏ½ NOUN cana-5245 193 22 2𝐴 2𝐴 NOUN cana-5245 193 23 + + CCONJ cana-5245 193 24 2𝑉21𝑉22 2𝑉21𝑉22 NUM cana-5245 193 25 οΏ½ οΏ½ NOUN cana-5245 193 26 Μ… Μ… NOUN cana-5245 193 27 οΏ½ οΏ½ NOUN cana-5245 193 28 οΏ½ οΏ½ NOUN cana-5245 193 29 Μ… Μ… NOUN cana-5245 193 30 οΏ½ οΏ½ NOUN cana-5245 193 31 𝐢 𝐢 PROPN cana-5245 193 32 β‰₯ β‰₯ NUM cana-5245 193 33 0 0 NUM cana-5245 193 34 14 14 NUM cana-5245 193 35 . . PUNCT cana-5245 194 1 𝑀𝑆𝐸(π‘‘π‘’π‘Ÿ 𝑀𝑆𝐸(π‘‘π‘’π‘Ÿ PROPN cana-5245 194 2 βˆ— βˆ— NOUN cana-5245 194 3 ) ) PUNCT cana-5245 195 1 βˆ’ βˆ’ PROPN cana-5245 195 2 𝑀𝑆𝐸 𝑀𝑆𝐸 PROPN cana-5245 195 3 ( ( PUNCT cana-5245 195 4 π‘‘π‘Ÿπ‘2 π‘‘π‘Ÿπ‘2 NOUN cana-5245 195 5 βˆ— βˆ— NOUN cana-5245 195 6 ) ) PUNCT cana-5245 196 1 = = SYM cana-5245 196 2 οΏ½ οΏ½ NOUN cana-5245 196 3 Μ… Μ… NOUN cana-5245 196 4 οΏ½ οΏ½ NOUN cana-5245 196 5 2 2 NUM cana-5245 196 6 ( ( PUNCT cana-5245 196 7 𝐡 𝐡 NOUN cana-5245 196 8 + + NOUN cana-5245 196 9 𝐴 𝐴 PROPN cana-5245 196 10 4 4 NUM cana-5245 196 11 βˆ’ βˆ’ PROPN cana-5245 196 12 𝐢 𝐢 PROPN cana-5245 196 13 ) ) PUNCT cana-5245 196 14 βˆ’ βˆ’ PROPN cana-5245 197 1 ( ( PUNCT cana-5245 197 2 𝑉21 𝑉21 NOUN cana-5245 197 3 βˆ’ βˆ’ PROPN cana-5245 197 4 1)2 1)2 NUM cana-5245 197 5 οΏ½ οΏ½ SYM cana-5245 197 6 Μ… Μ… NOUN cana-5245 197 7 οΏ½ οΏ½ NOUN cana-5245 197 8 2 2 NUM cana-5245 197 9 βˆ’ βˆ’ PROPN cana-5245 197 10 𝑉21 𝑉21 PROPN cana-5245 197 11 2 2 NUM cana-5245 197 12 οΏ½ οΏ½ NOUN cana-5245 197 13 Μ… Μ… NOUN cana-5245 197 14 οΏ½ οΏ½ NOUN cana-5245 197 15 2𝐡 2𝐡 NOUN cana-5245 197 16 βˆ’ βˆ’ NOUN cana-5245 197 17 𝑉22 𝑉22 PROPN cana-5245 197 18 2 2 NUM cana-5245 197 19 οΏ½ οΏ½ NOUN cana-5245 197 20 Μ… Μ… NOUN cana-5245 197 21 οΏ½ οΏ½ NOUN cana-5245 197 22 2𝐴 2𝐴 NOUN cana-5245 197 23 + + CCONJ cana-5245 197 24 2𝑉21𝑉22 2𝑉21𝑉22 NUM cana-5245 197 25 οΏ½ οΏ½ NOUN cana-5245 197 26 Μ… Μ… NOUN cana-5245 197 27 οΏ½ οΏ½ NOUN cana-5245 197 28 οΏ½ οΏ½ NOUN cana-5245 197 29 Μ… Μ… NOUN cana-5245 197 30 οΏ½ οΏ½ NOUN cana-5245 197 31 𝐢 𝐢 PROPN cana-5245 197 32 β‰₯ β‰₯ NUM cana-5245 197 33 0 0 NUM cana-5245 197 34 15 15 NUM cana-5245 197 35 . . PUNCT cana-5245 198 1 𝑀𝑆𝐸(𝑑𝑒𝑝 𝑀𝑆𝐸(𝑑𝑒𝑝 PROPN cana-5245 198 2 βˆ— βˆ— X cana-5245 198 3 ) ) PUNCT cana-5245 199 1 βˆ’ βˆ’ ADP cana-5245 199 2 𝑀𝑆𝐸 𝑀𝑆𝐸 PROPN cana-5245 199 3 ( ( PUNCT cana-5245 199 4 π‘‘π‘Ÿπ‘2 π‘‘π‘Ÿπ‘2 NOUN cana-5245 199 5 βˆ— βˆ— NOUN cana-5245 199 6 ) ) PUNCT cana-5245 200 1 = = SYM cana-5245 200 2 οΏ½ οΏ½ NOUN cana-5245 200 3 Μ… Μ… NOUN cana-5245 200 4 οΏ½ οΏ½ NOUN cana-5245 200 5 2 2 NUM cana-5245 200 6 ( ( PUNCT cana-5245 200 7 𝐡 𝐡 NOUN cana-5245 200 8 + + NOUN cana-5245 200 9 𝐴 𝐴 PROPN cana-5245 200 10 4 4 NUM cana-5245 200 11 + + SYM cana-5245 200 12 𝐢 𝐢 PROPN cana-5245 200 13 ) ) PUNCT cana-5245 200 14 βˆ’ βˆ’ PROPN cana-5245 201 1 ( ( PUNCT cana-5245 201 2 𝑉21 𝑉21 NOUN cana-5245 201 3 βˆ’ βˆ’ PROPN cana-5245 201 4 1)2 1)2 NUM cana-5245 201 5 οΏ½ οΏ½ SYM cana-5245 201 6 Μ… Μ… NOUN cana-5245 201 7 οΏ½ οΏ½ NOUN cana-5245 201 8 2 2 NUM cana-5245 201 9 βˆ’ βˆ’ PROPN cana-5245 201 10 𝑉21 𝑉21 PROPN cana-5245 201 11 2 2 NUM cana-5245 201 12 οΏ½ οΏ½ NOUN cana-5245 201 13 Μ… Μ… NOUN cana-5245 201 14 οΏ½ οΏ½ NOUN cana-5245 201 15 2𝐡 2𝐡 NOUN cana-5245 201 16 βˆ’ βˆ’ NOUN cana-5245 201 17 𝑉22 𝑉22 PROPN cana-5245 201 18 2 2 NUM cana-5245 201 19 οΏ½ οΏ½ NOUN cana-5245 201 20 Μ… Μ… NOUN cana-5245 201 21 οΏ½ οΏ½ NOUN cana-5245 201 22 2𝐴 2𝐴 NOUN cana-5245 201 23 + + CCONJ cana-5245 201 24 2𝑉21𝑉22 2𝑉21𝑉22 NUM cana-5245 201 25 οΏ½ οΏ½ NOUN cana-5245 201 26 Μ… Μ… NOUN cana-5245 201 27 οΏ½ οΏ½ NOUN cana-5245 201 28 οΏ½ οΏ½ NOUN cana-5245 201 29 Μ… Μ… NOUN cana-5245 201 30 οΏ½ οΏ½ NOUN cana-5245 201 31 𝐢 𝐢 PROPN cana-5245 201 32 β‰₯ β‰₯ NUM cana-5245 201 33 0 0 NUM cana-5245 201 34 comparison comparison NOUN cana-5245 201 35 within within ADP cana-5245 201 36 cases case NOUN cana-5245 201 37 below below ADV cana-5245 201 38 is be AUX cana-5245 201 39 the the DET cana-5245 201 40 comparison comparison NOUN cana-5245 201 41 between between ADP cana-5245 201 42 proposed propose VERB cana-5245 201 43 estimator estimator NOUN cana-5245 201 44 and and CCONJ cana-5245 201 45 its its PRON cana-5245 201 46 cases case NOUN cana-5245 201 47 : : PUNCT cana-5245 201 48 a a X cana-5245 201 49 ) ) PUNCT cana-5245 201 50 𝑀𝑆𝐸 𝑀𝑆𝐸 NOUN cana-5245 201 51 ( ( PUNCT cana-5245 201 52 π‘‘π‘Ÿπ‘1 π‘‘π‘Ÿπ‘1 NOUN cana-5245 201 53 βˆ— βˆ— NOUN cana-5245 201 54 ) ) PUNCT cana-5245 201 55 βˆ’ βˆ’ PROPN cana-5245 201 56 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘ 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘ PROPN cana-5245 201 57 βˆ— βˆ— VERB cana-5245 201 58 ) ) PUNCT cana-5245 202 1 = = SYM cana-5245 202 2 ( ( PUNCT cana-5245 202 3 𝑉11 𝑉11 PROPN cana-5245 202 4 βˆ’ βˆ’ PROPN cana-5245 202 5 1)2 1)2 NUM cana-5245 202 6 οΏ½ οΏ½ SYM cana-5245 202 7 Μ… Μ… NOUN cana-5245 202 8 οΏ½ οΏ½ NOUN cana-5245 202 9 2 2 NUM cana-5245 202 10 + + CCONJ cana-5245 202 11 𝑉11 𝑉11 PROPN cana-5245 202 12 2 2 NUM cana-5245 202 13 οΏ½ οΏ½ NOUN cana-5245 202 14 Μ… Μ… NOUN cana-5245 202 15 οΏ½ οΏ½ NOUN cana-5245 202 16 2𝐡 2𝐡 NOUN cana-5245 202 17 + + CCONJ cana-5245 202 18 𝑉13 𝑉13 PROPN cana-5245 202 19 2 2 NUM cana-5245 202 20 οΏ½ οΏ½ NOUN cana-5245 202 21 Μ… Μ… NOUN cana-5245 202 22 οΏ½ οΏ½ NOUN cana-5245 202 23 π‘₯ π‘₯ NOUN cana-5245 202 24 2𝐷 2𝐷 ADJ cana-5245 202 25 βˆ’ βˆ’ PROPN cana-5245 202 26 2𝑉11𝑉13 2𝑉11𝑉13 NUM cana-5245 202 27 οΏ½ οΏ½ PROPN cana-5245 202 28 Μ… Μ… NOUN cana-5245 202 29 οΏ½ οΏ½ NOUN cana-5245 202 30 οΏ½ οΏ½ NOUN cana-5245 202 31 Μ… Μ… NOUN cana-5245 202 32 οΏ½ οΏ½ NOUN cana-5245 202 33 π‘₯𝐸 π‘₯𝐸 ADJ cana-5245 202 34 βˆ’ βˆ’ PROPN cana-5245 202 35 𝑉1 𝑉1 NOUN cana-5245 202 36 2 2 NUM cana-5245 202 37 οΏ½ οΏ½ NOUN cana-5245 202 38 Μ… Μ… NOUN cana-5245 202 39 οΏ½ οΏ½ NOUN cana-5245 202 40 2𝐡 2𝐡 NOUN cana-5245 202 41 βˆ’ βˆ’ PROPN cana-5245 202 42 𝑉2 𝑉2 PROPN cana-5245 202 43 2 2 NUM cana-5245 202 44 οΏ½ οΏ½ PROPN cana-5245 202 45 Μ… Μ… NOUN cana-5245 202 46 οΏ½ οΏ½ NOUN cana-5245 202 47 2𝐴 2𝐴 NOUN cana-5245 202 48 βˆ’ βˆ’ PROPN cana-5245 202 49 𝑉3 𝑉3 NOUN cana-5245 202 50 2 2 NUM cana-5245 202 51 οΏ½ οΏ½ NOUN cana-5245 202 52 Μ… Μ… NOUN cana-5245 202 53 οΏ½ οΏ½ NOUN cana-5245 202 54 π‘₯ π‘₯ NOUN cana-5245 202 55 2𝐷 2𝐷 NOUN cana-5245 202 56 + + CCONJ cana-5245 202 57 2𝑉1𝑉2 2𝑉1𝑉2 NUM cana-5245 202 58 οΏ½ οΏ½ NOUN cana-5245 202 59 Μ… Μ… NOUN cana-5245 202 60 οΏ½ οΏ½ NOUN cana-5245 202 61 οΏ½ οΏ½ NOUN cana-5245 202 62 Μ… Μ… NOUN cana-5245 202 63 οΏ½ οΏ½ NOUN cana-5245 202 64 𝐢 𝐢 PROPN cana-5245 202 65 + + CCONJ cana-5245 202 66 2𝑉1𝑉3 2𝑉1𝑉3 NUM cana-5245 202 67 οΏ½ οΏ½ NOUN cana-5245 202 68 Μ… Μ… NOUN cana-5245 202 69 οΏ½ οΏ½ NOUN cana-5245 202 70 οΏ½ οΏ½ NOUN cana-5245 202 71 Μ… Μ… NOUN cana-5245 202 72 οΏ½ οΏ½ NOUN cana-5245 202 73 π‘₯𝐸 π‘₯𝐸 ADJ cana-5245 202 74 βˆ’ βˆ’ PROPN cana-5245 202 75 2𝑉2𝑉3 2𝑉2𝑉3 NUM cana-5245 202 76 οΏ½ οΏ½ NOUN cana-5245 202 77 Μ… Μ… NOUN cana-5245 202 78 οΏ½ οΏ½ NOUN cana-5245 202 79 οΏ½ οΏ½ NOUN cana-5245 202 80 Μ… Μ… NOUN cana-5245 202 81 οΏ½ οΏ½ NOUN cana-5245 202 82 π‘₯𝐹 π‘₯𝐹 NOUN cana-5245 202 83 β‰₯ β‰₯ NOUN cana-5245 202 84 0 0 NUM cana-5245 202 85 b b X cana-5245 202 86 ) ) PUNCT cana-5245 202 87 𝑀𝑆𝐸 𝑀𝑆𝐸 NOUN cana-5245 202 88 ( ( PUNCT cana-5245 202 89 π‘‘π‘Ÿπ‘2 π‘‘π‘Ÿπ‘2 NOUN cana-5245 202 90 βˆ— βˆ— NOUN cana-5245 202 91 ) ) PUNCT cana-5245 203 1 βˆ’ βˆ’ PROPN cana-5245 203 2 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘ 𝑀𝑆𝐸(π‘‘π‘Ÿπ‘ PROPN cana-5245 203 3 βˆ— βˆ— VERB cana-5245 203 4 ) ) PUNCT cana-5245 204 1 = = SYM cana-5245 204 2 ( ( PUNCT cana-5245 204 3 𝑉21 𝑉21 NOUN cana-5245 204 4 βˆ’ βˆ’ PROPN cana-5245 204 5 1)2 1)2 NUM cana-5245 204 6 οΏ½ οΏ½ SYM cana-5245 204 7 Μ… Μ… NOUN cana-5245 204 8 οΏ½ οΏ½ NOUN cana-5245 204 9 2 2 NUM cana-5245 204 10 + + CCONJ cana-5245 204 11 𝑉21 𝑉21 PROPN cana-5245 204 12 2 2 NUM cana-5245 204 13 οΏ½ οΏ½ NOUN cana-5245 204 14 Μ… Μ… NOUN cana-5245 204 15 οΏ½ οΏ½ NOUN cana-5245 204 16 2𝐡 2𝐡 NOUN cana-5245 204 17 + + CCONJ cana-5245 204 18 𝑉22 𝑉22 PROPN cana-5245 204 19 2 2 NUM cana-5245 204 20 οΏ½ οΏ½ NOUN cana-5245 204 21 Μ… Μ… NOUN cana-5245 204 22 οΏ½ οΏ½ NOUN cana-5245 204 23 2𝐴 2𝐴 NOUN cana-5245 204 24 βˆ’ βˆ’ PROPN cana-5245 204 25 2𝑉21𝑉22 2𝑉21𝑉22 NUM cana-5245 204 26 οΏ½ οΏ½ PROPN cana-5245 204 27 Μ… Μ… NOUN cana-5245 204 28 οΏ½ οΏ½ NOUN cana-5245 204 29 οΏ½ οΏ½ NOUN cana-5245 204 30 Μ… Μ… NOUN cana-5245 204 31 οΏ½ οΏ½ NOUN cana-5245 204 32 𝐢 𝐢 PROPN cana-5245 204 33 βˆ’ βˆ’ PROPN cana-5245 204 34 ( ( PUNCT cana-5245 204 35 𝑉1 𝑉1 PROPN cana-5245 204 36 βˆ’ βˆ’ PROPN cana-5245 204 37 1)2 1)2 NUM cana-5245 204 38 οΏ½ οΏ½ SYM cana-5245 204 39 Μ… Μ… NOUN cana-5245 204 40 οΏ½ οΏ½ NOUN cana-5245 204 41 2 2 NUM cana-5245 204 42 βˆ’ βˆ’ NOUN cana-5245 204 43 𝑉1 𝑉1 NOUN cana-5245 204 44 2 2 NUM cana-5245 204 45 οΏ½ οΏ½ NOUN cana-5245 204 46 Μ… Μ… NOUN cana-5245 204 47 οΏ½ οΏ½ NOUN cana-5245 204 48 2𝐡 2𝐡 NOUN cana-5245 204 49 βˆ’ βˆ’ PROPN cana-5245 204 50 𝑉2 𝑉2 PROPN cana-5245 204 51 2 2 NUM cana-5245 204 52 οΏ½ οΏ½ PROPN cana-5245 204 53 Μ… Μ… NOUN cana-5245 204 54 οΏ½ οΏ½ NOUN cana-5245 204 55 2𝐴 2𝐴 NOUN cana-5245 204 56 βˆ’ βˆ’ PROPN cana-5245 204 57 𝑉3 𝑉3 NOUN cana-5245 204 58 2 2 NUM cana-5245 204 59 οΏ½ οΏ½ NOUN cana-5245 204 60 Μ… Μ… NOUN cana-5245 204 61 οΏ½ οΏ½ NOUN cana-5245 204 62 π‘₯ π‘₯ NOUN cana-5245 204 63 2𝐷 2𝐷 NOUN cana-5245 204 64 + + CCONJ cana-5245 204 65 2𝑉1𝑉2 2𝑉1𝑉2 NUM cana-5245 204 66 οΏ½ οΏ½ NOUN cana-5245 204 67 Μ… Μ… NOUN cana-5245 204 68 οΏ½ οΏ½ NOUN cana-5245 204 69 οΏ½ οΏ½ NOUN cana-5245 204 70 Μ… Μ… NOUN cana-5245 204 71 οΏ½ οΏ½ NOUN cana-5245 204 72 𝐢 𝐢 PROPN cana-5245 204 73 + + CCONJ cana-5245 204 74 2𝑉1𝑉3 2𝑉1𝑉3 NUM cana-5245 204 75 οΏ½ οΏ½ NOUN cana-5245 204 76 Μ… Μ… NOUN cana-5245 204 77 οΏ½ οΏ½ NOUN cana-5245 204 78 οΏ½ οΏ½ NOUN cana-5245 204 79 Μ… Μ… NOUN cana-5245 204 80 οΏ½ οΏ½ NOUN cana-5245 204 81 π‘₯𝐸 π‘₯𝐸 ADJ cana-5245 204 82 βˆ’ βˆ’ PROPN cana-5245 204 83 2𝑉2𝑉3 2𝑉2𝑉3 NUM cana-5245 204 84 οΏ½ οΏ½ NOUN cana-5245 204 85 Μ… Μ… NOUN cana-5245 204 86 οΏ½ οΏ½ NOUN cana-5245 204 87 οΏ½ οΏ½ NOUN cana-5245 204 88 Μ… Μ… NOUN cana-5245 204 89 οΏ½ οΏ½ NOUN cana-5245 204 90 π‘₯𝐹 π‘₯𝐹 NOUN cana-5245 204 91 β‰₯ β‰₯ NOUN cana-5245 204 92 0 0 NUM cana-5245 204 93 6 6 NUM cana-5245 204 94 . . PUNCT cana-5245 204 95 numerical numerical ADJ cana-5245 204 96 illustration illustration NOUN cana-5245 204 97 to to PART cana-5245 204 98 illustrate illustrate VERB cana-5245 204 99 numerical numerical ADJ cana-5245 204 100 meaning meaning NOUN cana-5245 204 101 of of ADP cana-5245 204 102 the the DET cana-5245 204 103 theoretical theoretical ADJ cana-5245 204 104 results result NOUN cana-5245 204 105 , , PUNCT cana-5245 204 106 consider consider VERB cana-5245 204 107 a a DET cana-5245 204 108 real real ADJ cana-5245 204 109 dataset dataset NOUN cana-5245 204 110 given give VERB cana-5245 204 111 in in ADP cana-5245 204 112 sample sample NOUN cana-5245 204 113 survey survey NOUN cana-5245 204 114 by by ADP cana-5245 204 115 daroga daroga PROPN cana-5245 204 116 singh singh PROPN cana-5245 204 117 and and CCONJ cana-5245 204 118 f.s f.s PROPN cana-5245 204 119 . . PROPN cana-5245 204 120 chaudhary chaudhary PROPN cana-5245 204 121 . . PUNCT cana-5245 205 1 the the DET cana-5245 205 2 description description NOUN cana-5245 205 3 of of ADP cana-5245 205 4 the the DET cana-5245 205 5 dataset dataset NOUN cana-5245 205 6 is be AUX cana-5245 205 7 given give VERB cana-5245 205 8 below below ADP cana-5245 205 9 : : PUNCT cana-5245 205 10 a a DET cana-5245 205 11 list list NOUN cana-5245 205 12 of of ADP cana-5245 205 13 70 70 NUM cana-5245 205 14 villages village NOUN cana-5245 205 15 in in ADP cana-5245 205 16 india india PROPN cana-5245 205 17 along along ADP cana-5245 205 18 their their PRON cana-5245 205 19 population population NOUN cana-5245 205 20 in in ADP cana-5245 205 21 1981 1981 NUM cana-5245 205 22 and and CCONJ cana-5245 205 23 cultivated cultivate VERB cana-5245 205 24 area area NOUN cana-5245 205 25 ( ( PUNCT cana-5245 205 26 in in ADP cana-5245 205 27 acres acre NOUN cana-5245 205 28 ) ) PUNCT cana-5245 205 29 in in ADP cana-5245 205 30 the the DET cana-5245 205 31 same same ADJ cana-5245 205 32 year year NOUN cana-5245 205 33 is be AUX cana-5245 205 34 considered consider VERB cana-5245 205 35 ( ( PUNCT cana-5245 205 36 singh singh PROPN cana-5245 205 37 and and CCONJ cana-5245 205 38 choudhary choudhary PROPN cana-5245 205 39 , , PUNCT cana-5245 205 40 1986 1986 NUM cana-5245 205 41 ) ) PUNCT cana-5245 205 42 . . PUNCT cana-5245 206 1 here here ADV cana-5245 206 2 , , PUNCT cana-5245 206 3 the the DET cana-5245 206 4 cultivated cultivate VERB cana-5245 206 5 area area NOUN cana-5245 206 6 ( ( PUNCT cana-5245 206 7 in in ADP cana-5245 206 8 acres acre NOUN cana-5245 206 9 ) ) PUNCT cana-5245 206 10 is be AUX cana-5245 206 11 taken take VERB cana-5245 206 12 as as SCONJ cana-5245 206 13 the the DET cana-5245 206 14 main main ADJ cana-5245 206 15 study study NOUN cana-5245 206 16 variable variable NOUN cana-5245 206 17 and and CCONJ cana-5245 206 18 the the DET cana-5245 206 19 population population NOUN cana-5245 206 20 of of ADP cana-5245 206 21 the the DET cana-5245 206 22 village village NOUN cana-5245 206 23 is be AUX cana-5245 206 24 taken take VERB cana-5245 206 25 as as ADP cana-5245 206 26 the the DET cana-5245 206 27 auxiliary auxiliary ADJ cana-5245 206 28 variable variable NOUN cana-5245 206 29 . . PUNCT cana-5245 207 1 we we PRON cana-5245 207 2 treat treat VERB cana-5245 207 3 first first ADJ cana-5245 207 4 25 25 NUM cana-5245 207 5 % % NOUN cana-5245 207 6 values value NOUN cana-5245 207 7 as as ADP cana-5245 207 8 non non ADJ cana-5245 207 9 - - ADJ cana-5245 207 10 response response ADJ cana-5245 207 11 units unit NOUN cana-5245 207 12 . . PUNCT cana-5245 208 1 the the DET cana-5245 208 2 parameters parameter NOUN cana-5245 208 3 of of ADP cana-5245 208 4 the the DET cana-5245 208 5 population population NOUN cana-5245 208 6 are be AUX cana-5245 208 7 as as SCONJ cana-5245 208 8 follows follow VERB cana-5245 208 9 ( ( PUNCT cana-5245 208 10 using use VERB cana-5245 208 11 r r NOUN cana-5245 208 12 software software NOUN cana-5245 208 13 ): ): PUNCT cana-5245 208 14 οΏ½ οΏ½ PROPN cana-5245 208 15 Μ… Μ… NOUN cana-5245 208 16 οΏ½ οΏ½ NOUN cana-5245 208 17 = = SYM cana-5245 208 18 982.71 982.71 NUM cana-5245 208 19 , , PUNCT cana-5245 208 20 οΏ½ οΏ½ NOUN cana-5245 208 21 Μ… Μ… NOUN cana-5245 208 22 οΏ½ οΏ½ NOUN cana-5245 208 23 = = PUNCT cana-5245 208 24 1755.53 1755.53 NUM cana-5245 208 25 , , PUNCT cana-5245 208 26 οΏ½ οΏ½ NOUN cana-5245 208 27 Μ… Μ… NOUN cana-5245 208 28 οΏ½ οΏ½ NOUN cana-5245 208 29 π‘₯ π‘₯ NOUN cana-5245 208 30 = = SYM cana-5245 208 31 35.5 35.5 NUM cana-5245 208 32 , , PUNCT cana-5245 208 33 𝐢𝑦 𝐢𝑦 PROPN cana-5245 208 34 = = NOUN cana-5245 208 35 0.6235 0.6235 NUM cana-5245 208 36 , , PUNCT cana-5245 208 37 𝐢π‘₯ 𝐢π‘₯ PROPN cana-5245 208 38 = = PUNCT cana-5245 208 39 0.8035 0.8035 NUM cana-5245 208 40 , , PUNCT cana-5245 208 41 πΆπ‘Ÿπ‘₯ πΆπ‘Ÿπ‘₯ PROPN cana-5245 208 42 = = SYM cana-5245 208 43 0.5732 0.5732 NUM cana-5245 208 44 , , PUNCT cana-5245 208 45 𝐢𝑦(2 𝐢𝑦(2 NOUN cana-5245 208 46 ) ) PUNCT cana-5245 208 47 = = SYM cana-5245 208 48 0.3723 0.3723 NUM cana-5245 208 49 , , PUNCT cana-5245 208 50 𝐢π‘₯(2 𝐢π‘₯(2 NOUN cana-5245 208 51 ) ) PUNCT cana-5245 208 52 = = NOUN cana-5245 208 53 0.7824 0.7824 NUM cana-5245 208 54 , , PUNCT cana-5245 208 55 πΆπ‘Ÿπ‘₯(2 πΆπ‘Ÿπ‘₯(2 NUM cana-5245 208 56 ) ) PUNCT cana-5245 208 57 = = NOUN cana-5245 209 1 0.5605 0.5605 NUM cana-5245 209 2 , , PUNCT cana-5245 209 3 πœŒπ‘¦π‘₯ πœŒπ‘¦π‘₯ NOUN cana-5245 209 4 = = SYM cana-5245 209 5 0.7776 0.7776 NUM cana-5245 209 6 , , PUNCT cana-5245 209 7 πœŒπ‘¦π‘₯(2 πœŒπ‘¦π‘₯(2 ADJ cana-5245 209 8 ) ) PUNCT cana-5245 209 9 = = SYM cana-5245 209 10 0.8223 0.8223 NUM cana-5245 209 11 , , PUNCT cana-5245 209 12 𝜌π‘₯π‘Ÿπ‘₯ 𝜌π‘₯π‘Ÿπ‘₯ NOUN cana-5245 209 13 = = NOUN cana-5245 209 14 0.8498 0.8498 NUM cana-5245 209 15 , , PUNCT cana-5245 209 16 𝜌π‘₯π‘Ÿπ‘₯(2 𝜌π‘₯π‘Ÿπ‘₯(2 NOUN cana-5245 209 17 ) ) PUNCT cana-5245 209 18 = = SYM cana-5245 209 19 0.8937 0.8937 NUM cana-5245 209 20 , , PUNCT cana-5245 209 21 πœŒπ‘¦π‘Ÿπ‘₯ πœŒπ‘¦π‘Ÿπ‘₯ NOUN cana-5245 209 22 = = SYM cana-5245 209 23 0.7578 0.7578 NUM cana-5245 209 24 , , PUNCT cana-5245 209 25 πœŒπ‘¦π‘Ÿπ‘₯(2 πœŒπ‘¦π‘Ÿπ‘₯(2 PROPN cana-5245 209 26 ) ) PUNCT cana-5245 209 27 = = SYM cana-5245 209 28 0.9012 0.9012 NUM cana-5245 209 29 , , PUNCT cana-5245 209 30 π‘Š2 π‘Š2 PROPN cana-5245 209 31 = = NOUN cana-5245 209 32 0.25 0.25 NUM cana-5245 209 33 , , PUNCT cana-5245 209 34 𝑁 𝑁 PROPN cana-5245 209 35 = = SYM cana-5245 209 36 70 70 NUM cana-5245 209 37 , , PUNCT cana-5245 209 38 𝑛 𝑛 PROPN cana-5245 209 39 = = NUM cana-5245 209 40 17 17 NUM cana-5245 210 1 we we PRON cana-5245 210 2 computed compute VERB cana-5245 210 3 the the DET cana-5245 210 4 percent percent NOUN cana-5245 210 5 - - PUNCT cana-5245 210 6 relative relative ADJ cana-5245 210 7 efficiency efficiency NOUN cana-5245 210 8 ( ( PUNCT cana-5245 210 9 pre pre VERB cana-5245 210 10 ’s ’s ADV cana-5245 210 11 ) ) PUNCT cana-5245 210 12 of of ADP cana-5245 210 13 various various ADJ cana-5245 210 14 existing exist VERB cana-5245 210 15 estimators estimator NOUN cana-5245 210 16 with with ADP cana-5245 210 17 respect respect NOUN cana-5245 210 18 to to ADP cana-5245 210 19 the the DET cana-5245 210 20 usual usual ADJ cana-5245 210 21 unbiased unbiased ADJ cana-5245 210 22 estimator estimator NOUN cana-5245 210 23 οΏ½ οΏ½ PROPN cana-5245 210 24 Μ… Μ… NOUN cana-5245 210 25 οΏ½ οΏ½ NOUN cana-5245 210 26 βˆ— βˆ— NOUN cana-5245 210 27 for for ADP cana-5245 210 28 different different ADJ cana-5245 210 29 values value NOUN cana-5245 210 30 of of ADP cana-5245 210 31 π‘˜ π‘˜ NOUN cana-5245 210 32 , , PUNCT cana-5245 210 33 by by ADP cana-5245 210 34 using use VERB cana-5245 210 35 the the DET cana-5245 210 36 formulae formulae ADJ cana-5245 210 37 communications communication NOUN cana-5245 210 38 on on ADP cana-5245 210 39 applied apply VERB cana-5245 210 40 nonlinear nonlinear ADJ cana-5245 210 41 analysis analysis NOUN cana-5245 210 42 issn issn NOUN cana-5245 210 43 : : PUNCT cana-5245 210 44 1074 1074 NUM cana-5245 210 45 - - PUNCT cana-5245 210 46 133x 133x NUM cana-5245 210 47 vol vol VERB cana-5245 210 48 32 32 NUM cana-5245 210 49 no no NOUN cana-5245 210 50 . . PUNCT cana-5245 211 1 10s 10 NOUN cana-5245 211 2 ( ( PUNCT cana-5245 211 3 2025 2025 NUM cana-5245 211 4 ) ) PUNCT cana-5245 211 5 1462 1462 NUM cana-5245 211 6 https://internationalpubls.com https://internationalpubls.com X cana-5245 212 1 𝑃𝑅𝐸(π‘‘βˆ— 𝑃𝑅𝐸(π‘‘βˆ— PROPN cana-5245 212 2 , , PUNCT cana-5245 212 3 οΏ½ οΏ½ NOUN cana-5245 212 4 Μ… Μ… NOUN cana-5245 212 5 οΏ½ οΏ½ NOUN cana-5245 212 6 βˆ— βˆ— NOUN cana-5245 212 7 ) ) PUNCT cana-5245 212 8 = = SYM cana-5245 213 1 π‘‰π‘Žπ‘Ÿ π‘‰π‘Žπ‘Ÿ PROPN cana-5245 213 2 ( ( PUNCT cana-5245 213 3 οΏ½ οΏ½ NOUN cana-5245 213 4 Μ… Μ… NOUN cana-5245 213 5 οΏ½ οΏ½ NOUN cana-5245 213 6 βˆ— βˆ— NOUN cana-5245 213 7 ) ) PUNCT cana-5245 213 8 𝑀𝑆𝐸 𝑀𝑆𝐸 PROPN cana-5245 213 9 ( ( PUNCT cana-5245 213 10 βˆ— βˆ— NOUN cana-5245 213 11 ) ) PUNCT cana-5245 213 12 Γ— Γ— NOUN cana-5245 213 13 100 100 NUM cana-5245 213 14 where where SCONJ cana-5245 213 15 π‘‘βˆ— π‘‘βˆ— VERB cana-5245 213 16 = = SYM cana-5245 213 17 π‘‘π‘Ÿ π‘‘π‘Ÿ VERB cana-5245 213 18 βˆ— βˆ— NOUN cana-5245 213 19 , , PUNCT cana-5245 213 20 π‘‘π‘˜π‘  π‘‘π‘˜π‘  NOUN cana-5245 213 21 βˆ— βˆ— NOUN cana-5245 213 22 , , PUNCT cana-5245 213 23 π‘‘π‘’π‘Ÿ π‘‘π‘’π‘Ÿ NOUN cana-5245 213 24 βˆ— βˆ— NOUN cana-5245 213 25 , , PUNCT cana-5245 213 26 𝑑𝑒𝑝 𝑑𝑒𝑝 PROPN cana-5245 213 27 βˆ— βˆ— NOUN cana-5245 213 28 , , PUNCT cana-5245 213 29 𝑑𝑠𝑠 𝑑𝑠𝑠 NOUN cana-5245 213 30 βˆ— βˆ— NOUN cana-5245 213 31 , , PUNCT cana-5245 213 32 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ NOUN cana-5245 213 33 βˆ— βˆ— NOUN cana-5245 213 34 , , PUNCT cana-5245 213 35 π‘‘π‘Ÿπ‘1 π‘‘π‘Ÿπ‘1 VERB cana-5245 213 36 βˆ— βˆ— NOUN cana-5245 213 37 , , PUNCT cana-5245 213 38 π‘‘π‘Ÿπ‘2 π‘‘π‘Ÿπ‘2 NOUN cana-5245 213 39 βˆ— βˆ— NOUN cana-5245 213 40 table table NOUN cana-5245 214 1 1 1 NUM cana-5245 214 2 : : PUNCT cana-5245 214 3 percent percent NOUN cana-5245 214 4 - - PUNCT cana-5245 214 5 relative relative ADJ cana-5245 214 6 efficiency efficiency NOUN cana-5245 214 7 ( ( PUNCT cana-5245 214 8 pre pre NOUN cana-5245 214 9 ) ) PUNCT cana-5245 214 10 of of ADP cana-5245 214 11 the the DET cana-5245 214 12 various various ADJ cana-5245 214 13 estimators estimator NOUN cana-5245 214 14 𝑷𝑹𝑬(π’•βˆ— 𝑷𝑹𝑬(π’•βˆ— NOUN cana-5245 214 15 , , PUNCT cana-5245 214 16 οΏ½ οΏ½ NOUN cana-5245 214 17 Μ… Μ… NOUN cana-5245 214 18 οΏ½ οΏ½ NOUN cana-5245 214 19 βˆ— βˆ— NOUN cana-5245 214 20 ) ) PUNCT cana-5245 214 21 ( ( PUNCT cana-5245 214 22 𝟏/π’Œ 𝟏/π’Œ NOUN cana-5245 214 23 ) ) PUNCT cana-5245 214 24 ( ( PUNCT cana-5245 214 25 𝟏/𝟐 𝟏/𝟐 NUM cana-5245 214 26 ) ) PUNCT cana-5245 214 27 ( ( PUNCT cana-5245 214 28 𝟏/πŸ‘ 𝟏/πŸ‘ NUM cana-5245 214 29 ) ) PUNCT cana-5245 214 30 ( ( PUNCT cana-5245 214 31 𝟏/πŸ’ 𝟏/πŸ’ NUM cana-5245 214 32 ) ) PUNCT cana-5245 214 33 ( ( PUNCT cana-5245 214 34 𝟏/πŸ“ 𝟏/πŸ“ NUM cana-5245 214 35 ) ) PUNCT cana-5245 214 36 𝑃𝑅𝐸(π‘‘π‘Ÿ 𝑃𝑅𝐸(π‘‘π‘Ÿ PROPN cana-5245 214 37 βˆ— βˆ— NOUN cana-5245 214 38 , , PUNCT cana-5245 214 39 οΏ½ οΏ½ NOUN cana-5245 214 40 Μ… Μ… NOUN cana-5245 214 41 οΏ½ οΏ½ NOUN cana-5245 214 42 βˆ— βˆ— NOUN cana-5245 214 43 ) ) PUNCT cana-5245 214 44 123.077 123.077 NUM cana-5245 214 45 105.797 105.797 NUM cana-5245 214 46 95.35 95.35 NUM cana-5245 214 47 89.32 89.32 NUM cana-5245 214 48 𝑃𝑅𝐸(π‘‘π‘˜π‘  𝑃𝑅𝐸(π‘‘π‘˜π‘  PROPN cana-5245 214 49 βˆ— βˆ— NOUN cana-5245 214 50 , , PUNCT cana-5245 214 51 οΏ½ οΏ½ NOUN cana-5245 214 52 Μ… Μ… NOUN cana-5245 214 53 οΏ½ οΏ½ NOUN cana-5245 214 54 βˆ— βˆ— NOUN cana-5245 214 55 ) ) PUNCT cana-5245 214 56 21.62 21.62 NUM cana-5245 214 57 21.92 21.92 NUM cana-5245 214 58 22.16 22.16 NUM cana-5245 214 59 22.60 22.60 NUM cana-5245 214 60 𝑃𝑅𝐸(π‘‘π‘’π‘Ÿ 𝑃𝑅𝐸(π‘‘π‘’π‘Ÿ PROPN cana-5245 214 61 βˆ— βˆ— NOUN cana-5245 214 62 , , PUNCT cana-5245 214 63 οΏ½ οΏ½ NOUN cana-5245 214 64 Μ… Μ… NOUN cana-5245 214 65 οΏ½ οΏ½ NOUN cana-5245 214 66 βˆ— βˆ— NOUN cana-5245 214 67 ) ) PUNCT cana-5245 214 68 204.8 204.8 NUM cana-5245 214 69 182.50 182.50 NUM cana-5245 214 70 169.95 169.95 NUM cana-5245 214 71 162.12 162.12 NUM cana-5245 214 72 𝑃𝑅𝐸(𝑑𝑒𝑝 𝑃𝑅𝐸(𝑑𝑒𝑝 PROPN cana-5245 214 73 βˆ— βˆ— NOUN cana-5245 214 74 , , PUNCT cana-5245 214 75 οΏ½ οΏ½ NOUN cana-5245 214 76 Μ… Μ… NOUN cana-5245 214 77 οΏ½ οΏ½ NOUN cana-5245 214 78 βˆ— βˆ— NOUN cana-5245 214 79 ) ) PUNCT cana-5245 214 80 41.83 41.83 NUM cana-5245 214 81 42.44 42.44 NUM cana-5245 214 82 43.16 43.16 NUM cana-5245 214 83 44.072 44.072 NUM cana-5245 214 84 𝑃𝑅𝐸(𝑑𝑠𝑠 𝑃𝑅𝐸(𝑑𝑠𝑠 PROPN cana-5245 214 85 βˆ— βˆ— NOUN cana-5245 214 86 , , PUNCT cana-5245 214 87 οΏ½ οΏ½ NOUN cana-5245 214 88 Μ… Μ… NOUN cana-5245 214 89 οΏ½ οΏ½ NOUN cana-5245 214 90 βˆ— βˆ— NOUN cana-5245 214 91 ) ) PUNCT cana-5245 214 92 214.32 214.32 NUM cana-5245 214 93 183.73 183.73 NUM cana-5245 214 94 173.602 173.602 NUM cana-5245 214 95 162.65 162.65 NUM cana-5245 214 96 𝑷𝑹𝑬(𝒕𝒓𝒑 𝑷𝑹𝑬(𝒕𝒓𝒑 PROPN cana-5245 214 97 βˆ— βˆ— NOUN cana-5245 214 98 , , PUNCT cana-5245 214 99 οΏ½ οΏ½ NOUN cana-5245 214 100 Μ… Μ… NOUN cana-5245 214 101 οΏ½ οΏ½ NOUN cana-5245 214 102 βˆ— βˆ— NOUN cana-5245 214 103 ) ) PUNCT cana-5245 214 104 277.093 277.093 NUM cana-5245 214 105 281.785 281.785 NUM cana-5245 214 106 288.356 288.356 NUM cana-5245 214 107 295.5968 295.5968 NUM cana-5245 214 108 𝑷𝑹𝑬(π’•π’“π’‘πŸ 𝑷𝑹𝑬(π’•π’“π’‘πŸ NOUN cana-5245 214 109 βˆ— βˆ— NOUN cana-5245 214 110 , , PUNCT cana-5245 214 111 οΏ½ οΏ½ NOUN cana-5245 214 112 Μ… Μ… NOUN cana-5245 214 113 οΏ½ οΏ½ NOUN cana-5245 214 114 βˆ— βˆ— NOUN cana-5245 214 115 ) ) PUNCT cana-5245 215 1 245.202 245.202 NUM cana-5245 215 2 255.389 255.389 NUM cana-5245 215 3 265.3895 265.3895 NUM cana-5245 215 4 275.097 275.097 NUM cana-5245 215 5 𝑷𝑹𝑬(π’•π’“π’‘πŸ 𝑷𝑹𝑬(π’•π’“π’‘πŸ NUM cana-5245 215 6 βˆ— βˆ— NOUN cana-5245 215 7 , , PUNCT cana-5245 215 8 οΏ½ οΏ½ NOUN cana-5245 215 9 Μ… Μ… NOUN cana-5245 215 10 οΏ½ οΏ½ NOUN cana-5245 215 11 βˆ— βˆ— NOUN cana-5245 215 12 ) ) PUNCT cana-5245 215 13 242.714 242.714 NUM cana-5245 215 14 248.095 248.095 NUM cana-5245 215 15 249.239 249.239 NUM cana-5245 215 16 251.117 251.117 NUM cana-5245 215 17 7 7 NUM cana-5245 215 18 . . PUNCT cana-5245 215 19 conclusion conclusion NOUN cana-5245 215 20 in in ADP cana-5245 215 21 this this DET cana-5245 215 22 paper paper NOUN cana-5245 215 23 , , PUNCT cana-5245 215 24 we we PRON cana-5245 215 25 have have AUX cana-5245 215 26 suggested suggest VERB cana-5245 215 27 an an DET cana-5245 215 28 estimator estimator NOUN cana-5245 215 29 of of ADP cana-5245 215 30 the the DET cana-5245 215 31 finite finite ADJ cana-5245 215 32 population population NOUN cana-5245 215 33 mean mean VERB cana-5245 215 34 that that SCONJ cana-5245 215 35 use use VERB cana-5245 215 36 ranks rank NOUN cana-5245 215 37 of of ADP cana-5245 215 38 the the DET cana-5245 215 39 auxiliary auxiliary ADJ cana-5245 215 40 variable variable NOUN cana-5245 215 41 . . PUNCT cana-5245 216 1 based base VERB cana-5245 216 2 on on ADP cana-5245 216 3 both both CCONJ cana-5245 216 4 theoretical theoretical ADJ cana-5245 216 5 and and CCONJ cana-5245 216 6 numerical numerical ADJ cana-5245 216 7 findings finding NOUN cana-5245 216 8 , , PUNCT cana-5245 216 9 it it PRON cana-5245 216 10 turns turn VERB cana-5245 216 11 out out ADP cana-5245 216 12 that that SCONJ cana-5245 216 13 the the DET cana-5245 216 14 proposed propose VERB cana-5245 216 15 estimator estimator NOUN cana-5245 216 16 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ PROPN cana-5245 216 17 βˆ— βˆ— NOUN cana-5245 216 18 is be AUX cana-5245 216 19 more more ADV cana-5245 216 20 efficient efficient ADJ cana-5245 216 21 than than ADP cana-5245 216 22 the the DET cana-5245 216 23 usual usual ADJ cana-5245 216 24 mean mean NOUN cana-5245 216 25 , , PUNCT cana-5245 216 26 ratio ratio NOUN cana-5245 216 27 , , PUNCT cana-5245 216 28 product product NOUN cana-5245 216 29 , , PUNCT cana-5245 216 30 exponential exponential NOUN cana-5245 216 31 - - PUNCT cana-5245 216 32 ratio ratio NOUN cana-5245 216 33 and and CCONJ cana-5245 216 34 exponentialproduct exponentialproduct NOUN cana-5245 216 35 estimators estimator NOUN cana-5245 216 36 . . PUNCT cana-5245 217 1 thus thus ADV cana-5245 217 2 , , PUNCT cana-5245 217 3 the the DET cana-5245 217 4 suggested suggest VERB cana-5245 217 5 estimator estimator NOUN cana-5245 217 6 π‘‘π‘Ÿπ‘ π‘‘π‘Ÿπ‘ PROPN cana-5245 217 7 βˆ— βˆ— PROPN cana-5245 217 8 is be AUX cana-5245 217 9 to to PART cana-5245 217 10 be be AUX cana-5245 217 11 recommended recommend VERB cana-5245 217 12 for for ADP cana-5245 217 13 efficiently efficiently ADV cana-5245 217 14 estimating estimate VERB cana-5245 217 15 the the DET cana-5245 217 16 finite finite ADJ cana-5245 217 17 population population NOUN cana-5245 217 18 mean mean VERB cana-5245 217 19 . . PUNCT cana-5245 218 1 conflict conflict NOUN cana-5245 218 2 of of ADP cana-5245 218 3 interest interest NOUN cana-5245 218 4 the the DET cana-5245 218 5 authors author NOUN cana-5245 218 6 declare declare VERB cana-5245 218 7 that that SCONJ cana-5245 218 8 they they PRON cana-5245 218 9 have have VERB cana-5245 218 10 no no DET cana-5245 218 11 conflicts conflict NOUN cana-5245 218 12 of of ADP cana-5245 218 13 interest interest NOUN cana-5245 218 14 to to PART cana-5245 218 15 report report VERB cana-5245 218 16 regarding regard VERB cana-5245 218 17 the the DET cana-5245 218 18 present present ADJ cana-5245 218 19 study study NOUN cana-5245 218 20 . . PUNCT cana-5245 219 1 acknowledgement acknowledgement NOUN cana-5245 219 2 the the DET cana-5245 219 3 authors author NOUN cana-5245 219 4 are be AUX cana-5245 219 5 grateful grateful ADJ cana-5245 219 6 to to ADP cana-5245 219 7 the the DET cana-5245 219 8 experienced experienced ADJ cana-5245 219 9 referees referee NOUN cana-5245 219 10 for for ADP cana-5245 219 11 their their PRON cana-5245 219 12 useful useful ADJ cana-5245 219 13 comments comment NOUN cana-5245 219 14 and and CCONJ cana-5245 219 15 suggestions suggestion NOUN cana-5245 219 16 . . PUNCT cana-5245 220 1 orcid orcid NOUN cana-5245 221 1 i i PRON cana-5245 221 2 d d PROPN cana-5245 221 3 udita udita X cana-5245 221 4 gupta gupta PROPN cana-5245 221 5 https://orcid.org/0009-0000-1754-1418 https://orcid.org/0009-0000-1754-1418 PROPN cana-5245 221 6 https://orcid.org/0009-0000-1754-1418 https://orcid.org/0009-0000-1754-1418 PROPN cana-5245 221 7 communications communication NOUN cana-5245 221 8 on on ADP cana-5245 221 9 applied apply VERB cana-5245 221 10 nonlinear nonlinear ADJ cana-5245 221 11 analysis analysis NOUN cana-5245 221 12 issn issn NOUN cana-5245 221 13 : : PUNCT cana-5245 221 14 1074 1074 NUM cana-5245 221 15 - - PUNCT cana-5245 221 16 133x 133x NUM cana-5245 221 17 vol vol VERB cana-5245 221 18 32 32 NUM cana-5245 221 19 no no NOUN cana-5245 221 20 . . PUNCT cana-5245 222 1 10s 10 NOUN cana-5245 222 2 ( ( PUNCT cana-5245 222 3 2025 2025 NUM cana-5245 222 4 ) ) PUNCT cana-5245 222 5 1463 1463 NUM cana-5245 222 6 https://internationalpubls.com https://internationalpubls.com X cana-5245 222 7 references reference NOUN cana-5245 222 8 [ [ X cana-5245 222 9 1 1 NUM cana-5245 222 10 ] ] X cana-5245 222 11 azeem azeem PROPN cana-5245 222 12 m m PROPN cana-5245 222 13 , , PUNCT cana-5245 222 14 hanif hanif PROPN cana-5245 222 15 m. m. PROPN cana-5245 222 16 ( ( PUNCT cana-5245 222 17 2017 2017 NUM cana-5245 222 18 ) ) PUNCT cana-5245 222 19 . . PUNCT cana-5245 223 1 joint joint ADJ cana-5245 223 2 influence influence NOUN cana-5245 223 3 of of ADP cana-5245 223 4 measurement measurement NOUN cana-5245 223 5 error error NOUN cana-5245 223 6 and and CCONJ cana-5245 223 7 non non NOUN cana-5245 223 8 - - NOUN cana-5245 223 9 response response NOUN cana-5245 223 10 on on ADP cana-5245 223 11 estimation estimation NOUN cana-5245 223 12 of of ADP cana-5245 223 13 population population NOUN cana-5245 223 14 mean mean VERB cana-5245 223 15 . . PUNCT cana-5245 224 1 commun commun PROPN cana-5245 224 2 statist statist PROPN cana-5245 224 3 . . PUNCT cana-5245 225 1 theory theory NOUN cana-5245 225 2 methods.14(1):12 methods.14(1):12 NOUN cana-5245 225 3 . . PUNCT cana-5245 226 1 [ [ X cana-5245 226 2 2 2 X cana-5245 226 3 ] ] PUNCT cana-5245 226 4 azeem azeem PROPN cana-5245 226 5 m. m. PROPN cana-5245 226 6 ( ( PUNCT cana-5245 226 7 2014 2014 NUM cana-5245 226 8 ) ) PUNCT cana-5245 226 9 on on ADP cana-5245 226 10 estimation estimation NOUN cana-5245 226 11 of of ADP cana-5245 226 12 population population NOUN cana-5245 226 13 mean mean VERB cana-5245 226 14 in in ADP cana-5245 226 15 the the DET cana-5245 226 16 presence presence NOUN cana-5245 226 17 of of ADP cana-5245 226 18 measurement measurement NOUN cana-5245 226 19 error error NOUN cana-5245 226 20 and and CCONJ cana-5245 226 21 non non NOUN cana-5245 226 22 - - NOUN cana-5245 226 23 response response NOUN cana-5245 226 24 . . PUNCT cana-5245 227 1 unpublished unpublished ADJ cana-5245 227 2 ph.d ph.d PROPN cana-5245 227 3 . . PUNCT cana-5245 228 1 thesis thesis PROPN cana-5245 228 2 . . PUNCT cana-5245 229 1 national national PROPN cana-5245 229 2 college college PROPN cana-5245 229 3 of of ADP cana-5245 229 4 business business PROPN cana-5245 229 5 administration administration NOUN cana-5245 229 6 and and CCONJ cana-5245 229 7 economics economic NOUN cana-5245 229 8 . . PUNCT cana-5245 230 1 lahore lahore NOUN cana-5245 230 2 . . PUNCT cana-5245 231 1 [ [ X cana-5245 231 2 3 3 NUM cana-5245 231 3 ] ] SYM cana-5245 231 4 bahl bahl PROPN cana-5245 231 5 , , PUNCT cana-5245 231 6 s. s. PROPN cana-5245 231 7 , , PUNCT cana-5245 231 8 tuteja tuteja ADV cana-5245 231 9 , , PUNCT cana-5245 231 10 r.k r.k PROPN cana-5245 231 11 . . PROPN cana-5245 231 12 ( ( PUNCT cana-5245 231 13 1991 1991 NUM cana-5245 231 14 ) ) PUNCT cana-5245 231 15 . . PUNCT cana-5245 232 1 ratio ratio NOUN cana-5245 232 2 and and CCONJ cana-5245 232 3 product product NOUN cana-5245 232 4 type type NOUN cana-5245 232 5 exponential exponential ADJ cana-5245 232 6 estimators estimator NOUN cana-5245 232 7 . . PUNCT cana-5245 233 1 j. j. PROPN cana-5245 233 2 inf.optim inf.optim PROPN cana-5245 233 3 . . PUNCT cana-5245 234 1 sci sci PROPN cana-5245 234 2 . . PUNCT cana-5245 234 3 12(1):159–164 12(1):159–164 NOUN cana-5245 234 4 . . PUNCT cana-5245 235 1 [ [ X cana-5245 235 2 4 4 NUM cana-5245 235 3 ] ] X cana-5245 235 4 bedi bedi PROPN cana-5245 235 5 , , PUNCT cana-5245 235 6 p.k p.k PROPN cana-5245 235 7 . . PROPN cana-5245 235 8 ( ( PUNCT cana-5245 235 9 1996 1996 NUM cana-5245 235 10 ) ) PUNCT cana-5245 235 11 . . PUNCT cana-5245 236 1 efficient efficient ADJ cana-5245 236 2 utilization utilization NOUN cana-5245 236 3 of of ADP cana-5245 236 4 auxiliary auxiliary ADJ cana-5245 236 5 information information NOUN cana-5245 236 6 at at ADP cana-5245 236 7 estimation estimation NOUN cana-5245 236 8 stage stage NOUN cana-5245 236 9 . . PUNCT cana-5245 237 1 biometrical biometrical ADJ cana-5245 237 2 j.38(8):973–976 j.38(8):973–976 NOUN cana-5245 237 3 . . PUNCT cana-5245 238 1 [ [ X cana-5245 238 2 5 5 NUM cana-5245 238 3 ] ] PUNCT cana-5245 238 4 cochran cochran NOUN cana-5245 238 5 , , PUNCT cana-5245 238 6 w.g w.g PROPN cana-5245 238 7 . . PROPN cana-5245 238 8 ( ( PUNCT cana-5245 238 9 1940 1940 NUM cana-5245 238 10 ) ) PUNCT cana-5245 238 11 . . PUNCT cana-5245 239 1 the the DET cana-5245 239 2 estimation estimation NOUN cana-5245 239 3 of of ADP cana-5245 239 4 the the DET cana-5245 239 5 yields yield NOUN cana-5245 239 6 of of ADP cana-5245 239 7 cereal cereal NOUN cana-5245 239 8 experiments experiment NOUN cana-5245 239 9 by by ADP cana-5245 239 10 sampling sample VERB cana-5245 239 11 for for ADP cana-5245 239 12 the the DET cana-5245 239 13 ratio ratio NOUN cana-5245 239 14 gain gain NOUN cana-5245 239 15 to to PART cana-5245 239 16 total total ADJ cana-5245 239 17 produce produce NOUN cana-5245 239 18 . . PUNCT cana-5245 240 1 j. j. PROPN cana-5245 240 2 agric agric PROPN cana-5245 240 3 . . PUNCT cana-5245 240 4 soc soc PROPN cana-5245 240 5 . . PUNCT cana-5245 241 1 30:262–275 30:262–275 NUM cana-5245 241 2 . . PUNCT cana-5245 242 1 [ [ X cana-5245 242 2 6 6 NUM cana-5245 242 3 ] ] X cana-5245 242 4 grover grover PROPN cana-5245 242 5 , , PUNCT cana-5245 242 6 l.k l.k PROPN cana-5245 242 7 . . PROPN cana-5245 242 8 , , PUNCT cana-5245 242 9 kaur kaur PROPN cana-5245 242 10 , , PUNCT cana-5245 242 11 p. p. NOUN cana-5245 242 12 ( ( PUNCT cana-5245 242 13 2011 2011 NUM cana-5245 242 14 ) ) PUNCT cana-5245 242 15 . . PUNCT cana-5245 243 1 an an DET cana-5245 243 2 improved improved ADJ cana-5245 243 3 estimator estimator NOUN cana-5245 243 4 of of ADP cana-5245 243 5 the the DET cana-5245 243 6 finite finite ADJ cana-5245 243 7 population population NOUN cana-5245 243 8 mean mean VERB cana-5245 243 9 in in ADP cana-5245 243 10 simple simple ADJ cana-5245 243 11 random random ADJ cana-5245 243 12 sampling sampling NOUN cana-5245 243 13 . . PUNCT cana-5245 244 1 model model PROPN cana-5245 244 2 assisted assist VERB cana-5245 244 3 stat stat PROPN cana-5245 244 4 . . PUNCT cana-5245 244 5 appl appl PROPN cana-5245 244 6 . . PUNCT cana-5245 245 1 6(1):47–55 6(1):47–55 NUM cana-5245 245 2 . . PUNCT cana-5245 246 1 [ [ X cana-5245 246 2 7 7 NUM cana-5245 246 3 ] ] X cana-5245 246 4 grover grover PROPN cana-5245 246 5 , , PUNCT cana-5245 246 6 l.k l.k PROPN cana-5245 246 7 . . PROPN cana-5245 246 8 , , PUNCT cana-5245 246 9 kaur kaur PROPN cana-5245 246 10 , , PUNCT cana-5245 246 11 p. p. NOUN cana-5245 246 12 ( ( PUNCT cana-5245 246 13 2014 2014 NUM cana-5245 246 14 ) ) PUNCT cana-5245 246 15 . . PUNCT cana-5245 247 1 a a DET cana-5245 247 2 generalized generalized ADJ cana-5245 247 3 class class NOUN cana-5245 247 4 of of ADP cana-5245 247 5 ratio ratio NOUN cana-5245 247 6 type type NOUN cana-5245 247 7 exponential exponential ADJ cana-5245 247 8 estimators estimator NOUN cana-5245 247 9 of of ADP cana-5245 247 10 population population NOUN cana-5245 247 11 mean mean VERB cana-5245 247 12 under under ADP cana-5245 247 13 linear linear ADJ cana-5245 247 14 transformation transformation NOUN cana-5245 247 15 of of ADP cana-5245 247 16 auxiliary auxiliary ADJ cana-5245 247 17 variable variable NOUN cana-5245 247 18 . . PUNCT cana-5245 248 1 commun commun PROPN cana-5245 248 2 . . PUNCT cana-5245 249 1 stat stat PROPN cana-5245 249 2 . . PUNCT cana-5245 250 1 simul simul PROPN cana-5245 250 2 . . PUNCT cana-5245 251 1 comput comput NOUN cana-5245 251 2 . . PUNCT cana-5245 252 1 43(7):1552–1574 43(7):1552–1574 X cana-5245 252 2 . . PUNCT cana-5245 253 1 [ [ X cana-5245 253 2 8 8 NUM cana-5245 253 3 ] ] X cana-5245 253 4 gupta gupta PROPN cana-5245 253 5 , , PUNCT cana-5245 253 6 s. s. PROPN cana-5245 253 7 , , PUNCT cana-5245 253 8 shabbir shabbir PROPN cana-5245 253 9 , , PUNCT cana-5245 253 10 j. j. PROPN cana-5245 253 11 ( ( PUNCT cana-5245 253 12 2008 2008 NUM cana-5245 253 13 ) ) PUNCT cana-5245 253 14 . . PUNCT cana-5245 254 1 on on ADP cana-5245 254 2 improvement improvement NOUN cana-5245 254 3 in in ADP cana-5245 254 4 estimating estimate VERB cana-5245 254 5 the the DET cana-5245 254 6 population population NOUN cana-5245 254 7 mean mean VERB cana-5245 254 8 in in ADP cana-5245 254 9 simple simple ADJ cana-5245 254 10 random random ADJ cana-5245 254 11 sampling sampling NOUN cana-5245 254 12 . . PUNCT cana-5245 255 1 j. j. PROPN cana-5245 255 2 appl appl PROPN cana-5245 255 3 . . PROPN cana-5245 256 1 stat stat PROPN cana-5245 256 2 . . PUNCT cana-5245 257 1 35(5):559–566 35(5):559–566 NOUN cana-5245 257 2 . . PUNCT cana-5245 258 1 [ [ X cana-5245 258 2 9 9 NUM cana-5245 258 3 ] ] SYM cana-5245 258 4 haq haq PROPN cana-5245 258 5 , , PUNCT cana-5245 258 6 a. a. PROPN cana-5245 258 7 , , PUNCT cana-5245 258 8 shabbir shabbir PROPN cana-5245 258 9 , , PUNCT cana-5245 258 10 j. j. PROPN cana-5245 258 11 ( ( PUNCT cana-5245 258 12 2013 2013 NUM cana-5245 258 13 ) ) PUNCT cana-5245 258 14 . . PUNCT cana-5245 259 1 improved improve VERB cana-5245 259 2 family family NOUN cana-5245 259 3 of of ADP cana-5245 259 4 ratio ratio NOUN cana-5245 259 5 estimators estimator NOUN cana-5245 259 6 in in ADP cana-5245 259 7 simple simple ADJ cana-5245 259 8 and and CCONJ cana-5245 259 9 stratified stratify VERB cana-5245 259 10 random random ADJ cana-5245 259 11 sampling sampling NOUN cana-5245 259 12 . . PUNCT cana-5245 260 1 commun commun PROPN cana-5245 260 2 . . PUNCT cana-5245 261 1 stat stat PROPN cana-5245 261 2 . . PUNCT cana-5245 262 1 theory theory NOUN cana-5245 262 2 methods method VERB cana-5245 262 3 42(5):782–799 42(5):782–799 PRON cana-5245 262 4 . . PUNCT cana-5245 263 1 [ [ X cana-5245 263 2 10 10 NUM cana-5245 263 3 ] ] X cana-5245 263 4 kadilar kadilar NOUN cana-5245 263 5 , , PUNCT cana-5245 263 6 c. c. PROPN cana-5245 263 7 , , PUNCT cana-5245 263 8 cingi cingi PROPN cana-5245 263 9 , , PUNCT cana-5245 263 10 h. h. PROPN cana-5245 263 11 ( ( PUNCT cana-5245 263 12 2004 2004 NUM cana-5245 263 13 ) ) PUNCT cana-5245 263 14 . . PUNCT cana-5245 264 1 ratio ratio NOUN cana-5245 264 2 estimators estimator NOUN cana-5245 264 3 in in ADP cana-5245 264 4 simple simple ADJ cana-5245 264 5 random random ADJ cana-5245 264 6 sampling sampling NOUN cana-5245 264 7 . . PUNCT cana-5245 265 1 appl appl PROPN cana-5245 265 2 . . PROPN cana-5245 265 3 math math PROPN cana-5245 265 4 . . PUNCT cana-5245 266 1 comput.151(3):893–902 comput.151(3):893–902 PROPN cana-5245 266 2 . . PUNCT cana-5245 267 1 [ [ X cana-5245 267 2 11 11 NUM cana-5245 267 3 ] ] X cana-5245 267 4 kadilar kadilar NOUN cana-5245 267 5 , , PUNCT cana-5245 267 6 c. c. PROPN cana-5245 267 7 , , PUNCT cana-5245 267 8 cingi cingi PROPN cana-5245 267 9 , , PUNCT cana-5245 267 10 h. h. PROPN cana-5245 267 11 ( ( PUNCT cana-5245 267 12 2006a 2006a NUM cana-5245 267 13 ) ) PUNCT cana-5245 267 14 . . PUNCT cana-5245 268 1 an an DET cana-5245 268 2 improvement improvement NOUN cana-5245 268 3 in in ADP cana-5245 268 4 estimating estimate VERB cana-5245 268 5 the the DET cana-5245 268 6 population population NOUN cana-5245 268 7 mean mean VERB cana-5245 268 8 by by ADP cana-5245 268 9 using use VERB cana-5245 268 10 the the DET cana-5245 268 11 correlation correlation NOUN cana-5245 268 12 coefficient coefficient NOUN cana-5245 268 13 . . PUNCT cana-5245 269 1 hacettepe hacettepe PROPN cana-5245 269 2 j. j. PROPN cana-5245 269 3 math math PROPN cana-5245 269 4 . . PUNCT cana-5245 270 1 stat stat PROPN cana-5245 270 2 . . PUNCT cana-5245 271 1 35(1):103–109 35(1):103–109 NUM cana-5245 271 2 . . PUNCT cana-5245 272 1 [ [ X cana-5245 272 2 12 12 NUM cana-5245 272 3 ] ] X cana-5245 272 4 kadilar kadilar NOUN cana-5245 272 5 , , PUNCT cana-5245 272 6 c. c. PROPN cana-5245 272 7 , , PUNCT cana-5245 272 8 cingi cingi PROPN cana-5245 272 9 , , PUNCT cana-5245 272 10 h. h. PROPN cana-5245 272 11 ( ( PUNCT cana-5245 272 12 2006b 2006b NUM cana-5245 272 13 ) ) PUNCT cana-5245 272 14 . . PUNCT cana-5245 273 1 improvement improvement NOUN cana-5245 273 2 in in ADP cana-5245 273 3 estimating estimate VERB cana-5245 273 4 the the DET cana-5245 273 5 population population NOUN cana-5245 273 6 mean mean VERB cana-5245 273 7 in in ADP cana-5245 273 8 simple simple ADJ cana-5245 273 9 random random ADJ cana-5245 273 10 sampling sampling NOUN cana-5245 273 11 . . PUNCT cana-5245 274 1 appl appl PROPN cana-5245 274 2 . . PROPN cana-5245 274 3 math math PROPN cana-5245 274 4 . . PUNCT cana-5245 275 1 lett lett PROPN cana-5245 275 2 . . PUNCT cana-5245 276 1 19(1):75–79 19(1):75–79 ADV cana-5245 276 2 . . PUNCT cana-5245 277 1 [ [ X cana-5245 277 2 13 13 NUM cana-5245 277 3 ] ] SYM cana-5245 277 4 kadilar kadilar NOUN cana-5245 277 5 , , PUNCT cana-5245 277 6 c. c. PROPN cana-5245 277 7 , , PUNCT cana-5245 277 8 cingi cingi PROPN cana-5245 277 9 , , PUNCT cana-5245 277 10 h. h. PROPN cana-5245 277 11 ( ( PUNCT cana-5245 277 12 2006c 2006c NUM cana-5245 277 13 ) ) PUNCT cana-5245 277 14 . . PUNCT cana-5245 278 1 ratio ratio NOUN cana-5245 278 2 estimators estimator NOUN cana-5245 278 3 for for ADP cana-5245 278 4 the the DET cana-5245 278 5 population population NOUN cana-5245 278 6 variance variance NOUN cana-5245 278 7 in in ADP cana-5245 278 8 simple simple ADJ cana-5245 278 9 and and CCONJ cana-5245 278 10 stratified stratify VERB cana-5245 278 11 random random ADJ cana-5245 278 12 sampling sampling NOUN cana-5245 278 13 . . PUNCT cana-5245 279 1 appl appl PROPN cana-5245 279 2 . . PROPN cana-5245 279 3 math math PROPN cana-5245 279 4 . . PUNCT cana-5245 280 1 comput comput NOUN cana-5245 280 2 . . PUNCT cana-5245 281 1 173(2):1047–1059 173(2):1047–1059 X cana-5245 281 2 . . PUNCT cana-5245 282 1 [ [ X cana-5245 282 2 14 14 NUM cana-5245 282 3 ] ] X cana-5245 282 4 khoshnevisan khoshnevisan PROPN cana-5245 282 5 , , PUNCT cana-5245 282 6 m. m. NOUN cana-5245 282 7 , , PUNCT cana-5245 282 8 singh singh PROPN cana-5245 282 9 , , PUNCT cana-5245 282 10 r. r. PROPN cana-5245 282 11 , , PUNCT cana-5245 282 12 chauhan chauhan PROPN cana-5245 282 13 , , PUNCT cana-5245 282 14 p. p. PROPN cana-5245 282 15 , , PUNCT cana-5245 282 16 sawan sawan PROPN cana-5245 282 17 , , PUNCT cana-5245 282 18 n. n. NOUN cana-5245 282 19 , , PUNCT cana-5245 282 20 smarandache smarandache NOUN cana-5245 282 21 , , PUNCT cana-5245 282 22 f. f. PROPN cana-5245 282 23 ( ( PUNCT cana-5245 282 24 2007 2007 NUM cana-5245 282 25 ) ) PUNCT cana-5245 282 26 . . PUNCT cana-5245 283 1 a a DET cana-5245 283 2 general general ADJ cana-5245 283 3 family family NOUN cana-5245 283 4 of of ADP cana-5245 283 5 estimators estimator NOUN cana-5245 283 6 for for ADP cana-5245 283 7 estimating estimate VERB cana-5245 283 8 population population NOUN cana-5245 283 9 mean mean VERB cana-5245 283 10 using use VERB cana-5245 283 11 known know VERB cana-5245 283 12 value value NOUN cana-5245 283 13 of of ADP cana-5245 283 14 some some DET cana-5245 283 15 population population NOUN cana-5245 283 16 parameter(s parameter(s NOUN cana-5245 283 17 ) ) PUNCT cana-5245 283 18 . . PUNCT cana-5245 284 1 far far PROPN cana-5245 284 2 east east PROPN cana-5245 284 3 j. j. PROPN cana-5245 284 4 theor theor PROPN cana-5245 284 5 . . PUNCT cana-5245 285 1 stat stat PROPN cana-5245 285 2 . . PUNCT cana-5245 286 1 22(9):181–191 22(9):181–191 X cana-5245 286 2 . . PUNCT cana-5245 286 3 communications communication NOUN cana-5245 286 4 on on ADP cana-5245 286 5 applied apply VERB cana-5245 286 6 nonlinear nonlinear ADJ cana-5245 286 7 analysis analysis NOUN cana-5245 286 8 issn issn NOUN cana-5245 286 9 : : PUNCT cana-5245 286 10 1074 1074 NUM cana-5245 286 11 - - PUNCT cana-5245 286 12 133x 133x NUM cana-5245 286 13 vol vol VERB cana-5245 286 14 32 32 NUM cana-5245 286 15 no no NOUN cana-5245 286 16 . . PUNCT cana-5245 287 1 10s 10 NOUN cana-5245 287 2 ( ( PUNCT cana-5245 287 3 2025 2025 NUM cana-5245 287 4 ) ) PUNCT cana-5245 287 5 1464 1464 NUM cana-5245 287 6 https://internationalpubls.com https://internationalpubls.com X cana-5245 288 1 [ [ X cana-5245 288 2 15 15 NUM cana-5245 288 3 ] ] X cana-5245 288 4 koyuncu koyuncu PROPN cana-5245 288 5 , , PUNCT cana-5245 288 6 n. n. PROPN cana-5245 288 7 ,gupta ,gupta PROPN cana-5245 288 8 , , PUNCT cana-5245 288 9 s. s. PROPN cana-5245 288 10 , , PUNCT cana-5245 288 11 sousa sousa PROPN cana-5245 288 12 , , PUNCT cana-5245 288 13 r. r. PROPN cana-5245 288 14 ( ( PUNCT cana-5245 288 15 2014 2014 NUM cana-5245 288 16 ) ) PUNCT cana-5245 288 17 . . PUNCT cana-5245 289 1 exponential exponential ADJ cana-5245 289 2 - - PUNCT cana-5245 289 3 type type NOUN cana-5245 289 4 estimators estimator NOUN cana-5245 289 5 of of ADP cana-5245 289 6 the the DET cana-5245 289 7 mean mean NOUN cana-5245 289 8 of of ADP cana-5245 289 9 a a DET cana-5245 289 10 sensitive sensitive ADJ cana-5245 289 11 variable variable NOUN cana-5245 289 12 in in ADP cana-5245 289 13 the the DET cana-5245 289 14 presence presence NOUN cana-5245 289 15 of of ADP cana-5245 289 16 nonsensitive nonsensitive ADJ cana-5245 289 17 auxiliary auxiliary ADJ cana-5245 289 18 information information NOUN cana-5245 289 19 . . PUNCT cana-5245 290 1 commun commun PROPN cana-5245 290 2 . . PUNCT cana-5245 291 1 stat stat PROPN cana-5245 291 2 . . PUNCT cana-5245 292 1 simul simul PROPN cana-5245 292 2 . . PUNCT cana-5245 293 1 comput comput NOUN cana-5245 293 2 . . PUNCT cana-5245 294 1 43(7):1583–1594 43(7):1583–1594 X cana-5245 294 2 . . PUNCT cana-5245 295 1 [ [ X cana-5245 295 2 16 16 NUM cana-5245 295 3 ] ] X cana-5245 295 4 kreuter kreuter NOUN cana-5245 295 5 f f PROPN cana-5245 295 6 , , PUNCT cana-5245 295 7 olson olson PROPN cana-5245 295 8 k k PROPN cana-5245 295 9 , , PUNCT cana-5245 295 10 wagner wagner PROPN cana-5245 295 11 j j PROPN cana-5245 295 12 , , PUNCT cana-5245 295 13 et et PROPN cana-5245 295 14 al al PROPN cana-5245 295 15 . . PUNCT cana-5245 296 1 using use VERB cana-5245 296 2 proxy proxy ADJ cana-5245 296 3 measure measure NOUN cana-5245 296 4 and and CCONJ cana-5245 296 5 corrletaes corrletaes NOUN cana-5245 296 6 of of ADP cana-5245 296 7 survey survey NOUN cana-5245 296 8 outcomes outcome NOUN cana-5245 296 9 to to PART cana-5245 296 10 adjust adjust VERB cana-5245 296 11 for for ADP cana-5245 296 12 non non ADJ cana-5245 296 13 - - ADJ cana-5245 296 14 response response NOUN cana-5245 296 15 - - PUNCT cana-5245 296 16 examples example NOUN cana-5245 296 17 from from ADP cana-5245 296 18 multiple multiple ADJ cana-5245 296 19 surveys survey NOUN cana-5245 296 20 . . PUNCT cana-5245 297 1 j j PROPN cana-5245 297 2 royal royal PROPN cana-5245 297 3 statist statist PROPN cana-5245 297 4 soc soc PROPN cana-5245 297 5 ser ser PROPN cana-5245 297 6 a. a. PROPN cana-5245 297 7 2010;173(part 2010;173(part PROPN cana-5245 297 8 3):1–21 3):1–21 PROPN cana-5245 297 9 . . PUNCT cana-5245 298 1 [ [ X cana-5245 298 2 17 17 NUM cana-5245 298 3 ] ] X cana-5245 298 4 murthy murthy PROPN cana-5245 298 5 , , PUNCT cana-5245 298 6 m.n m.n PROPN cana-5245 298 7 . . PROPN cana-5245 298 8 ( ( PUNCT cana-5245 298 9 1964 1964 NUM cana-5245 298 10 ) ) PUNCT cana-5245 298 11 . . PUNCT cana-5245 299 1 product product NOUN cana-5245 299 2 method method NOUN cana-5245 299 3 of of ADP cana-5245 299 4 estimation estimation NOUN cana-5245 299 5 . . PUNCT cana-5245 300 1 sankhya sankhya PROPN cana-5245 300 2 indian indian PROPN cana-5245 300 3 j. j. PROPN cana-5245 300 4 stat stat PROPN cana-5245 300 5 . . PUNCT cana-5245 301 1 ser ser PROPN cana-5245 301 2 . . PUNCT cana-5245 302 1 a a DET cana-5245 302 2 ( ( PUNCT cana-5245 302 3 1961 1961 NUM cana-5245 302 4 – – PUNCT cana-5245 302 5 2002)26(1):69–74 2002)26(1):69–74 NUM cana-5245 302 6 . . PUNCT cana-5245 303 1 [ [ X cana-5245 303 2 18 18 NUM cana-5245 303 3 ] ] SYM cana-5245 303 4 murthy murthy PROPN cana-5245 303 5 , , PUNCT cana-5245 303 6 m.n m.n PROPN cana-5245 303 7 . . PROPN cana-5245 303 8 ( ( PUNCT cana-5245 303 9 1967 1967 NUM cana-5245 303 10 ) ) PUNCT cana-5245 303 11 . . PUNCT cana-5245 304 1 sampling sample VERB cana-5245 304 2 : : PUNCT cana-5245 304 3 theory theory NOUN cana-5245 304 4 and and CCONJ cana-5245 304 5 methods method NOUN cana-5245 304 6 . . PUNCT cana-5245 305 1 statistical statistical ADJ cana-5245 305 2 publication publication NOUN cana-5245 305 3 society society NOUN cana-5245 305 4 . . PUNCT cana-5245 306 1 [ [ X cana-5245 306 2 19 19 NUM cana-5245 306 3 ] ] X cana-5245 306 4 platt platt PROPN cana-5245 306 5 , , PUNCT cana-5245 306 6 w.j w.j PROPN cana-5245 306 7 . . PROPN cana-5245 306 8 , , PUNCT cana-5245 306 9 evans evans PROPN cana-5245 306 10 , , PUNCT cana-5245 306 11 g.w g.w PROPN cana-5245 306 12 . . PROPN cana-5245 306 13 , , PUNCT cana-5245 306 14 rathbun rathbun PROPN cana-5245 306 15 , , PUNCT cana-5245 306 16 s.l s.l PROPN cana-5245 306 17 . . PROPN cana-5245 306 18 ( ( PUNCT cana-5245 306 19 1988 1988 NUM cana-5245 306 20 ) ) PUNCT cana-5245 306 21 . . PUNCT cana-5245 307 1 the the DET cana-5245 307 2 population population NOUN cana-5245 307 3 dynamics dynamic NOUN cana-5245 307 4 of of ADP cana-5245 307 5 a a DET cana-5245 307 6 long long ADV cana-5245 307 7 - - PUNCT cana-5245 307 8 lived live VERB cana-5245 307 9 conifer conifer NOUN cana-5245 307 10 ( ( PUNCT cana-5245 307 11 pinus pinus NOUN cana-5245 307 12 palustris palustris NOUN cana-5245 307 13 ) ) PUNCT cana-5245 307 14 . . PUNCT cana-5245 308 1 am be AUX cana-5245 308 2 . . PUNCT cana-5245 309 1 nat nat PROPN cana-5245 309 2 . . PUNCT cana-5245 310 1 131(4):491–525 131(4):491–525 NUM cana-5245 310 2 . . PUNCT cana-5245 311 1 [ [ X cana-5245 311 2 20 20 NUM cana-5245 311 3 ] ] SYM cana-5245 311 4 rao rao PROPN cana-5245 311 5 , , PUNCT cana-5245 311 6 t.j t.j PROPN cana-5245 311 7 . . PROPN cana-5245 311 8 ( ( PUNCT cana-5245 311 9 1991 1991 NUM cana-5245 311 10 ) ) PUNCT cana-5245 311 11 . . PUNCT cana-5245 312 1 on on ADP cana-5245 312 2 certail certail NOUN cana-5245 312 3 methods method NOUN cana-5245 312 4 of of ADP cana-5245 312 5 improving improve VERB cana-5245 312 6 ration ration NOUN cana-5245 312 7 and and CCONJ cana-5245 312 8 regression regression NOUN cana-5245 312 9 estimators estimator NOUN cana-5245 312 10 . . PUNCT cana-5245 313 1 commun commun PROPN cana-5245 313 2 . . PUNCT cana-5245 314 1 stat stat PROPN cana-5245 314 2 . . PUNCT cana-5245 315 1 theory theory NOUN cana-5245 315 2 methods method NOUN cana-5245 315 3 . . PUNCT cana-5245 316 1 20(10):3325–3340 20(10):3325–3340 X cana-5245 316 2 . . PUNCT cana-5245 317 1 [ [ X cana-5245 317 2 21 21 NUM cana-5245 317 3 ] ] X cana-5245 317 4 sahoo sahoo PROPN cana-5245 317 5 j j PROPN cana-5245 317 6 , , PUNCT cana-5245 317 7 sahoo sahoo PROPN cana-5245 317 8 ln ln PROPN cana-5245 317 9 , , PUNCT cana-5245 317 10 mohanty mohanty PROPN cana-5245 317 11 s. s. PROPN cana-5245 317 12 ( ( PUNCT cana-5245 317 13 1993 1993 NUM cana-5245 317 14 ) ) PUNCT cana-5245 317 15 . . PUNCT cana-5245 318 1 a a DET cana-5245 318 2 regression regression NOUN cana-5245 318 3 approach approach NOUN cana-5245 318 4 to to ADP cana-5245 318 5 estimation estimation NOUN cana-5245 318 6 using use VERB cana-5245 318 7 two two NUM cana-5245 318 8 auxiliary auxiliary ADJ cana-5245 318 9 variables variable NOUN cana-5245 318 10 . . PUNCT cana-5245 319 1 curr curr PROPN cana-5245 319 2 sci sci PROPN cana-5245 319 3 . . PUNCT cana-5245 320 1 65(1):73–75 65(1):73–75 X cana-5245 320 2 . . PUNCT cana-5245 321 1 [ [ X cana-5245 321 2 22 22 NUM cana-5245 321 3 ] ] X cana-5245 321 4 shabbir shabbir PROPN cana-5245 321 5 , , PUNCT cana-5245 321 6 j. j. PROPN cana-5245 321 7 , , PUNCT cana-5245 321 8 gupta gupta PROPN cana-5245 321 9 , , PUNCT cana-5245 321 10 s. s. PROPN cana-5245 321 11 ( ( PUNCT cana-5245 321 12 2010 2010 NUM cana-5245 321 13 ) ) PUNCT cana-5245 321 14 . . PUNCT cana-5245 322 1 on on ADP cana-5245 322 2 estimating estimate VERB cana-5245 322 3 finite finite ADJ cana-5245 322 4 population population NOUN cana-5245 322 5 mean mean VERB cana-5245 322 6 in in ADP cana-5245 322 7 simple simple ADJ cana-5245 322 8 and and CCONJ cana-5245 322 9 stratified stratify VERB cana-5245 322 10 random random ADJ cana-5245 322 11 sampling sampling NOUN cana-5245 322 12 . . PUNCT cana-5245 323 1 commun commun PROPN cana-5245 323 2 . . PUNCT cana-5245 324 1 stat stat PROPN cana-5245 324 2 . . PUNCT cana-5245 325 1 theory theory NOUN cana-5245 325 2 methods method NOUN cana-5245 325 3 40(2):199–212 40(2):199–212 ADJ cana-5245 325 4 . . PUNCT cana-5245 326 1 [ [ X cana-5245 326 2 23 23 NUM cana-5245 326 3 ] ] X cana-5245 326 4 shabbir shabbir PROPN cana-5245 326 5 , , PUNCT cana-5245 326 6 j. j. PROPN cana-5245 326 7 , , PUNCT cana-5245 326 8 haq haq PROPN cana-5245 326 9 , , PUNCT cana-5245 326 10 a. a. PROPN cana-5245 326 11 , , PUNCT cana-5245 326 12 gupta gupta PROPN cana-5245 326 13 , , PUNCT cana-5245 326 14 s. s. PROPN cana-5245 326 15 ( ( PUNCT cana-5245 326 16 2014 2014 NUM cana-5245 326 17 ) ) PUNCT cana-5245 326 18 . . PUNCT cana-5245 327 1 a a DET cana-5245 327 2 new new ADJ cana-5245 327 3 difference difference NOUN cana-5245 327 4 - - PUNCT cana-5245 327 5 cum cum NOUN cana-5245 327 6 - - PUNCT cana-5245 327 7 exponential exponential ADJ cana-5245 327 8 type type NOUN cana-5245 327 9 estimator estimator NOUN cana-5245 327 10 of of ADP cana-5245 327 11 finite finite ADJ cana-5245 327 12 population population NOUN cana-5245 327 13 mean mean VERB cana-5245 327 14 in in ADP cana-5245 327 15 simple simple ADJ cana-5245 327 16 random random ADJ cana-5245 327 17 sampling sampling NOUN cana-5245 327 18 . . PUNCT cana-5245 328 1 colomb colomb PROPN cana-5245 328 2 . . PUNCT cana-5245 329 1 j. j. PROPN cana-5245 329 2 stat stat PROPN cana-5245 329 3 . . PUNCT cana-5245 330 1 37(1):199–211 37(1):199–211 NOUN cana-5245 330 2 . . PUNCT cana-5245 331 1 [ [ X cana-5245 331 2 24 24 NUM cana-5245 331 3 ] ] X cana-5245 331 4 singh singh PROPN cana-5245 331 5 , , PUNCT cana-5245 331 6 g.n g.n PROPN cana-5245 331 7 . . PROPN cana-5245 331 8 ( ( PUNCT cana-5245 331 9 2003a 2003a NUM cana-5245 331 10 ) ) PUNCT cana-5245 331 11 . . PUNCT cana-5245 332 1 on on ADP cana-5245 332 2 the the DET cana-5245 332 3 improvement improvement NOUN cana-5245 332 4 of of ADP cana-5245 332 5 product product NOUN cana-5245 332 6 method method NOUN cana-5245 332 7 of of ADP cana-5245 332 8 estimation estimation NOUN cana-5245 332 9 in in ADP cana-5245 332 10 sample sample NOUN cana-5245 332 11 surveys survey NOUN cana-5245 332 12 . . PUNCT cana-5245 333 1 j. j. PROPN cana-5245 333 2 indian indian PROPN cana-5245 333 3 soc soc PROPN cana-5245 333 4 . . PUNCT cana-5245 334 1 agric agric PROPN cana-5245 334 2 . . PUNCT cana-5245 335 1 stat stat PROPN cana-5245 335 2 . . PUNCT cana-5245 336 1 56(3):267–275 56(3):267–275 X cana-5245 336 2 . . PUNCT cana-5245 337 1 [ [ X cana-5245 337 2 25 25 NUM cana-5245 337 3 ] ] X cana-5245 337 4 singh singh PROPN cana-5245 337 5 , , PUNCT cana-5245 337 6 s. s. PROPN cana-5245 337 7 ( ( PUNCT cana-5245 337 8 2003b 2003b NUM cana-5245 337 9 ) ) PUNCT cana-5245 337 10 . . PUNCT cana-5245 338 1 advanced advanced ADJ cana-5245 338 2 sampling sampling NOUN cana-5245 338 3 theory theory NOUN cana-5245 338 4 with with ADP cana-5245 338 5 applications application NOUN cana-5245 338 6 : : PUNCT cana-5245 338 7 how how SCONJ cana-5245 338 8 michael michael PROPN cana-5245 338 9 β€œ " PUNCT cana-5245 338 10 selected select VERB cana-5245 338 11 ” " PUNCT cana-5245 338 12 amy amy PROPN cana-5245 338 13 . . PUNCT cana-5245 339 1 the the DET cana-5245 339 2 netherlands netherlands PROPN cana-5245 339 3 : : PUNCT cana-5245 339 4 springer springer NOUN cana-5245 339 5 . . PUNCT cana-5245 340 1 [ [ X cana-5245 340 2 26 26 NUM cana-5245 340 3 ] ] X cana-5245 340 4 singh singh PROPN cana-5245 340 5 , , PUNCT cana-5245 340 6 h.p h.p PROPN cana-5245 340 7 . . PROPN cana-5245 340 8 , , PUNCT cana-5245 340 9 solanki solanki PROPN cana-5245 340 10 , , PUNCT cana-5245 340 11 r.s r.s PROPN cana-5245 340 12 . . PROPN cana-5245 340 13 ( ( PUNCT cana-5245 340 14 2013 2013 NUM cana-5245 340 15 ) ) PUNCT cana-5245 340 16 . . PUNCT cana-5245 341 1 an an DET cana-5245 341 2 efficient efficient ADJ cana-5245 341 3 class class NOUN cana-5245 341 4 of of ADP cana-5245 341 5 estimators estimator NOUN cana-5245 341 6 for for ADP cana-5245 341 7 the the DET cana-5245 341 8 population population NOUN cana-5245 341 9 mean mean VERB cana-5245 341 10 using use VERB cana-5245 341 11 auxiliary auxiliary ADJ cana-5245 341 12 information information NOUN cana-5245 341 13 . . PUNCT cana-5245 342 1 commun commun PROPN cana-5245 342 2 . . PUNCT cana-5245 343 1 stat stat PROPN cana-5245 343 2 . . PUNCT cana-5245 344 1 theory theory NOUN cana-5245 344 2 methods methods PROPN cana-5245 344 3 42(1):145–163 42(1):145–163 PROPN cana-5245 344 4 . . PUNCT cana-5245 345 1 [ [ X cana-5245 345 2 27 27 NUM cana-5245 345 3 ] ] X cana-5245 345 4 singh singh PROPN cana-5245 345 5 , , PUNCT cana-5245 345 6 h.p h.p PROPN cana-5245 345 7 . . PROPN cana-5245 345 8 , , PUNCT cana-5245 345 9 tailor tailor PROPN cana-5245 345 10 , , PUNCT cana-5245 345 11 r. r. PROPN cana-5245 345 12 ( ( PUNCT cana-5245 345 13 2003 2003 NUM cana-5245 345 14 ) ) PUNCT cana-5245 345 15 . . PUNCT cana-5245 346 1 use use NOUN cana-5245 346 2 of of ADP cana-5245 346 3 known know VERB cana-5245 346 4 correlation correlation NOUN cana-5245 346 5 coefficient coefficient NOUN cana-5245 346 6 in in ADP cana-5245 346 7 estimating estimate VERB cana-5245 346 8 the the DET cana-5245 346 9 finite finite ADJ cana-5245 346 10 population population NOUN cana-5245 346 11 mean mean VERB cana-5245 346 12 . . PUNCT cana-5245 347 1 stat stat PROPN cana-5245 347 2 . . PUNCT cana-5245 348 1 transition transition NOUN cana-5245 348 2 6(4):555–560 6(4):555–560 NOUN cana-5245 348 3 . . PUNCT cana-5245 349 1 [ [ X cana-5245 349 2 28 28 NUM cana-5245 349 3 ] ] X cana-5245 349 4 singh singh PROPN cana-5245 349 5 , , PUNCT cana-5245 349 6 r. r. PROPN cana-5245 349 7 , , PUNCT cana-5245 349 8 chauhan chauhan PROPN cana-5245 349 9 , , PUNCT cana-5245 349 10 p. p. PROPN cana-5245 349 11 , , PUNCT cana-5245 349 12 sawan sawan PROPN cana-5245 349 13 , , PUNCT cana-5245 349 14 n. n. NOUN cana-5245 349 15 , , PUNCT cana-5245 349 16 smarandache smarandache NOUN cana-5245 349 17 , , PUNCT cana-5245 349 18 f. f. PROPN cana-5245 349 19 ( ( PUNCT cana-5245 349 20 2009 2009 NUM cana-5245 349 21 ) ) PUNCT cana-5245 349 22 . . PUNCT cana-5245 350 1 improvement improvement NOUN cana-5245 350 2 in in ADP cana-5245 350 3 estimating estimate VERB cana-5245 350 4 the the DET cana-5245 350 5 population population NOUN cana-5245 350 6 mean mean VERB cana-5245 350 7 using use VERB cana-5245 350 8 exponential exponential ADJ cana-5245 350 9 estimator estimator NOUN cana-5245 350 10 in in ADP cana-5245 350 11 simple simple ADJ cana-5245 350 12 random random ADJ cana-5245 350 13 sampling sampling NOUN cana-5245 350 14 . . PUNCT cana-5245 351 1 int int NOUN cana-5245 351 2 . . PUNCT cana-5245 352 1 j. j. PROPN cana-5245 352 2 stat stat PROPN cana-5245 352 3 . . PUNCT cana-5245 353 1 econ econ PROPN cana-5245 353 2 . . PUNCT cana-5245 354 1 3(a09):13–18 3(a09):13–18 NUM cana-5245 354 2 . . PUNCT cana-5245 355 1 [ [ X cana-5245 355 2 29 29 NUM cana-5245 355 3 ] ] PUNCT cana-5245 355 4 sisodia sisodia NOUN cana-5245 355 5 , , PUNCT cana-5245 355 6 b.v.s b.v.s PROPN cana-5245 355 7 . . PROPN cana-5245 355 8 , , PUNCT cana-5245 355 9 dwivedi dwivedi PROPN cana-5245 355 10 , , PUNCT cana-5245 355 11 v.k v.k PROPN cana-5245 355 12 . . PROPN cana-5245 355 13 ( ( PUNCT cana-5245 355 14 1981 1981 NUM cana-5245 355 15 ) ) PUNCT cana-5245 355 16 . . PUNCT cana-5245 356 1 a a DET cana-5245 356 2 modified modify VERB cana-5245 356 3 ratio ratio NOUN cana-5245 356 4 estimator estimator NOUN cana-5245 356 5 using use VERB cana-5245 356 6 coefficient coefficient NOUN cana-5245 356 7 of of ADP cana-5245 356 8 variation variation NOUN cana-5245 356 9 of of ADP cana-5245 356 10 auxiliary auxiliary ADJ cana-5245 356 11 variable variable NOUN cana-5245 356 12 . . PUNCT cana-5245 357 1 j. j. PROPN cana-5245 357 2 indian indian PROPN cana-5245 357 3 soc soc PROPN cana-5245 357 4 . . PUNCT cana-5245 358 1 agric agric PROPN cana-5245 358 2 . . PUNCT cana-5245 358 3 stat stat PROPN cana-5245 358 4 . . PUNCT cana-5245 359 1 33(2):13–18 33(2):13–18 NUM cana-5245 359 2 . . PUNCT cana-5245 359 3 communications communication NOUN cana-5245 359 4 on on ADP cana-5245 359 5 applied apply VERB cana-5245 359 6 nonlinear nonlinear ADJ cana-5245 359 7 analysis analysis NOUN cana-5245 359 8 issn issn NOUN cana-5245 359 9 : : PUNCT cana-5245 359 10 1074 1074 NUM cana-5245 359 11 - - PUNCT cana-5245 359 12 133x 133x NUM cana-5245 359 13 vol vol VERB cana-5245 359 14 32 32 NUM cana-5245 359 15 no no NOUN cana-5245 359 16 . . PUNCT cana-5245 360 1 10s 10 NOUN cana-5245 360 2 ( ( PUNCT cana-5245 360 3 2025 2025 NUM cana-5245 360 4 ) ) PUNCT cana-5245 360 5 1465 1465 NUM cana-5245 360 6 https://internationalpubls.com https://internationalpubls.com X cana-5245 361 1 [ [ X cana-5245 361 2 30 30 NUM cana-5245 361 3 ] ] X cana-5245 361 4 upadhyaya upadhyaya PROPN cana-5245 361 5 , , PUNCT cana-5245 361 6 l.n l.n PROPN cana-5245 361 7 . . PROPN cana-5245 361 8 , , PUNCT cana-5245 361 9 singh singh PROPN cana-5245 361 10 , , PUNCT cana-5245 361 11 h.p h.p PROPN cana-5245 361 12 . . PROPN cana-5245 361 13 ( ( PUNCT cana-5245 361 14 1999 1999 NUM cana-5245 361 15 ) ) PUNCT cana-5245 361 16 . . PUNCT cana-5245 362 1 use use NOUN cana-5245 362 2 of of ADP cana-5245 362 3 transformed transform VERB cana-5245 362 4 auxiliary auxiliary ADJ cana-5245 362 5 variable variable NOUN cana-5245 362 6 in in ADP cana-5245 362 7 estimating estimate VERB cana-5245 362 8 the the DET cana-5245 362 9 finite finite ADJ cana-5245 362 10 population population NOUN cana-5245 362 11 mean mean VERB cana-5245 362 12 . . PUNCT cana-5245 363 1 biometrical biometrical ADJ cana-5245 363 2 j. j. PROPN cana-5245 363 3 41(5):627–636 41(5):627–636 PROPN cana-5245 363 4 . . PUNCT cana-5245 364 1 [ [ X cana-5245 364 2 31 31 NUM cana-5245 364 3 ] ] X cana-5245 364 4 zahid zahid PROPN cana-5245 364 5 e e PROPN cana-5245 364 6 , , PUNCT cana-5245 364 7 shabbir shabbir PROPN cana-5245 364 8 j. j. PROPN cana-5245 364 9 estimation estimation PROPN cana-5245 364 10 of of ADP cana-5245 364 11 population population NOUN cana-5245 364 12 mean mean VERB cana-5245 364 13 in in ADP cana-5245 364 14 the the DET cana-5245 364 15 presence presence NOUN cana-5245 364 16 of of ADP cana-5245 364 17 measurement measurement NOUN cana-5245 364 18 error error NOUN cana-5245 364 19 and and CCONJ cana-5245 364 20 non non NOUN cana-5245 364 21 - - NOUN cana-5245 364 22 response response NOUN cana-5245 364 23 under under ADP cana-5245 364 24 stratified stratified ADJ cana-5245 364 25 random random ADJ cana-5245 364 26 sampling sampling NOUN cana-5245 364 27 . . PUNCT cana-5245 365 1 plos plos PROPN cana-5245 365 2 one one NUM cana-5245 365 3 . . PUNCT cana-5245 366 1 2018;13(2):e0191572 2018;13(2):e0191572 X cana-5245 366 2 . . PUNCT cana-5245 366 3 appendix appendix ADJ cana-5245 366 4 install.packages("xlsx install.packages("xlsx NOUN cana-5245 366 5 " " PUNCT cana-5245 366 6 ) ) PUNCT cana-5245 366 7 install.packages("readxl install.packages("readxl ADJ cana-5245 366 8 " " PUNCT cana-5245 366 9 ) ) PUNCT cana-5245 366 10 library(xlsx library(xlsx PROPN cana-5245 366 11 ) ) PUNCT cana-5245 366 12 library(readxl library(readxl PROPN cana-5245 366 13 ) ) PUNCT cana-5245 366 14 mydata<-read_excel("c:/users mydata<-read_excel("c:/user NOUN cana-5245 366 15 / / SYM cana-5245 366 16 dell dell NOUN cana-5245 366 17 / / SYM cana-5245 366 18 onedrive onedrive ADJ cana-5245 366 19 / / SYM cana-5245 366 20 desktop desktop NOUN cana-5245 366 21 / / SYM cana-5245 366 22 daroga daroga NOUN cana-5245 366 23 singh.xlsx singh.xlsx NOUN cana-5245 366 24 " " PUNCT cana-5245 366 25 ) ) PUNCT cana-5245 366 26 head(mydata head(mydata PROPN cana-5245 366 27 ) ) PUNCT cana-5245 366 28 rx<-rank(mydata$x rx<-rank(mydata$x PROPN cana-5245 366 29 ) ) PUNCT cana-5245 366 30 mydata11<-cbind(mydata$y mydata11<-cbind(mydata$y PROPN cana-5245 366 31 , , PUNCT cana-5245 366 32 mydata$x mydata$x PROPN cana-5245 366 33 , , PUNCT cana-5245 366 34 rx rx ADJ cana-5245 366 35 ) ) PUNCT cana-5245 366 36 mydata1<-as.data.frame(mydata11 mydata1<-as.data.frame(mydata11 ADJ cana-5245 366 37 ) ) PUNCT cana-5245 366 38 head(mydata1 head(mydata1 NOUN cana-5245 366 39 ) ) PUNCT cana-5245 366 40 colnames(mydata1)<-c("y","x","rx colnames(mydata1)<-c("y","x","rx PROPN cana-5245 366 41 " " PUNCT cana-5245 366 42 ) ) PUNCT cana-5245 366 43 write.csv(mydata1,"mydata1.csv write.csv(mydata1,"mydata1.csv NUM cana-5245 366 44 " " PUNCT cana-5245 366 45 ) ) PUNCT cana-5245 366 46 getwd getwd PROPN cana-5245 366 47 ( ( PUNCT cana-5245 366 48 ) ) PUNCT cana-5245 366 49 n<-70 n<-70 PROPN cana-5245 366 50 n1<-0.25*n n1<-0.25*n X cana-5245 366 51 nonres<-mydata1[1 nonres<-mydata1[1 NOUN cana-5245 366 52 : : PUNCT cana-5245 366 53 n1 n1 ADJ cana-5245 366 54 , , PUNCT cana-5245 366 55 ] ] PUNCT cana-5245 366 56 res<-mydata1[n1 res<-mydata1[n1 VERB cana-5245 366 57 + + PROPN cana-5245 366 58 1 1 NUM cana-5245 366 59 : : SYM cana-5245 366 60 n n NUM cana-5245 366 61 , , PUNCT cana-5245 366 62 ] ] PUNCT cana-5245 366 63 # # SYM cana-5245 366 64 = = SYM cana-5245 366 65 = = SYM cana-5245 366 66 = = SYM cana-5245 366 67 = = SYM cana-5245 366 68 = = SYM cana-5245 366 69 = = NOUN cana-5245 366 70 population======= population======= NOUN cana-5245 366 71 my<-mean(mydata1$y my<-mean(mydata1$y NOUN cana-5245 366 72 ) ) PUNCT cana-5245 366 73 mx<-mean(mydata1$x mx<-mean(mydata1$x PROPN cana-5245 366 74 ) ) PUNCT cana-5245 366 75 mr<-mean(mydata1$rx mr<-mean(mydata1$rx PROPN cana-5245 366 76 ) ) PUNCT cana-5245 366 77 vy<-var(mydata1$y vy<-var(mydata1$y NOUN cana-5245 366 78 ) ) PUNCT cana-5245 366 79 vx<-var(mydata1$x vx<-var(mydata1$x ADJ cana-5245 366 80 ) ) PUNCT cana-5245 366 81 vr<-var(mydata1$rx vr<-var(mydata1$rx NOUN cana-5245 366 82 ) ) PUNCT cana-5245 366 83 cyx<-cor(mydata1$x cyx<-cor(mydata1$x VERB cana-5245 366 84 , , PUNCT cana-5245 366 85 mydata1$y mydata1$y PROPN cana-5245 366 86 ) ) PUNCT cana-5245 366 87 cxr<-cor(mydata1$x cxr<-cor(mydata1$x NOUN cana-5245 366 88 , , PUNCT cana-5245 366 89 mydata1$rx mydata1$rx NOUN cana-5245 366 90 ) ) PUNCT cana-5245 366 91 cyr<-cor(mydata1$y cyr<-cor(mydata1$y PROPN cana-5245 366 92 , , PUNCT cana-5245 366 93 mydata1$rx mydata1$rx NOUN cana-5245 366 94 ) ) PUNCT cana-5245 366 95 communications communication NOUN cana-5245 366 96 on on ADP cana-5245 366 97 applied apply VERB cana-5245 366 98 nonlinear nonlinear ADJ cana-5245 366 99 analysis analysis NOUN cana-5245 366 100 issn issn NOUN cana-5245 366 101 : : PUNCT cana-5245 366 102 1074 1074 NUM cana-5245 366 103 - - PUNCT cana-5245 366 104 133x 133x NUM cana-5245 366 105 vol vol VERB cana-5245 366 106 32 32 NUM cana-5245 366 107 no no NOUN cana-5245 366 108 . . PUNCT cana-5245 366 109 10s 10 NOUN cana-5245 366 110 ( ( PUNCT cana-5245 366 111 2025 2025 NUM cana-5245 366 112 ) ) PUNCT cana-5245 366 113 1466 1466 NUM cana-5245 366 114 https://internationalpubls.com https://internationalpubls.com X cana-5245 367 1 # # SYM cana-5245 367 2 = = PRON cana-5245 367 3 = = SYM cana-5245 367 4 = = SYM cana-5245 367 5 = = SYM cana-5245 367 6 = = NOUN cana-5245 367 7 = = ADJ cana-5245 367 8 non non ADJ cana-5245 367 9 - - ADJ cana-5245 367 10 response======= response======= ADJ cana-5245 367 11 my2<-mean(nonres$y my2<-mean(nonres$y PROPN cana-5245 367 12 ) ) PUNCT cana-5245 367 13 mx2<-mean(nonres$x mx2<-mean(nonres$x NOUN cana-5245 367 14 ) ) PUNCT cana-5245 367 15 mr2<-mean(nonres$rx mr2<-mean(nonres$rx NOUN cana-5245 367 16 ) ) PUNCT cana-5245 367 17 vy2<-var(nonres$y vy2<-var(nonres$y ADJ cana-5245 367 18 ) ) PUNCT cana-5245 367 19 vx2<-var(nonres$x vx2<-var(nonres$x NOUN cana-5245 367 20 ) ) PUNCT cana-5245 367 21 vr2<-var(nonres$rx vr2<-var(nonres$rx NOUN cana-5245 367 22 ) ) PUNCT cana-5245 367 23 cyx2<-cor(nonres$x cyx2<-cor(nonres$x PROPN cana-5245 367 24 , , PUNCT cana-5245 367 25 nonres$y nonres$y ADJ cana-5245 367 26 ) ) PUNCT cana-5245 367 27 cxr2<-cor(nonres$x cxr2<-cor(nonres$x ADJ cana-5245 367 28 , , PUNCT cana-5245 367 29 nonres$rx nonres$rx NOUN cana-5245 367 30 ) ) PUNCT cana-5245 368 1 cyr2<-cor(nonres$y cyr2<-cor(nonres$y PROPN cana-5245 368 2 , , PUNCT cana-5245 368 3 nonres$rx nonres$rx PROPN cana-5245 368 4 ) ) PUNCT cana-5245 368 5 cy2<-(vy/(my^2 cy2<-(vy/(my^2 PROPN cana-5245 368 6 ) ) PUNCT cana-5245 368 7 ) ) PUNCT cana-5245 368 8 cx2<-(vx/(mx^2 cx2<-(vx/(mx^2 NUM cana-5245 368 9 ) ) PUNCT cana-5245 368 10 ) ) PUNCT cana-5245 369 1 cr2<-(vr/(mr^2 cr2<-(vr/(mr^2 PROPN cana-5245 369 2 ) ) PUNCT cana-5245 369 3 ) ) PUNCT cana-5245 370 1 cy22<-(vy2/(my^2 cy22<-(vy2/(my^2 NOUN cana-5245 370 2 ) ) PUNCT cana-5245 370 3 ) ) PUNCT cana-5245 371 1 cx22<-(vx2/(mx^2 cx22<-(vx2/(mx^2 ADJ cana-5245 371 2 ) ) PUNCT cana-5245 371 3 ) ) PUNCT cana-5245 371 4 cr22<-(vr2/(mr^2 cr22<-(vr2/(mr^2 NOUN cana-5245 371 5 ) ) PUNCT cana-5245 371 6 ) ) PUNCT cana-5245 372 1 # # SYM cana-5245 372 2 = = PRON cana-5245 372 3 = = SYM cana-5245 372 4 = = SYM cana-5245 372 5 = = SYM cana-5245 372 6 = = SYM cana-5245 372 7 = = NOUN cana-5245 372 8 = = SYM cana-5245 372 9 = = SYM cana-5245 372 10 k=2/3/4/5======= k=2/3/4/5======= PROPN cana-5245 372 11 k<-2/3/4/5 k<-2/3/4/5 PROPN cana-5245 372 12 n<-70 n<-70 PROPN cana-5245 372 13 n2<-0.25*n n2<-0.25*n PROPN cana-5245 372 14 n<-17 n<-17 PRON cana-5245 372 15 f<-n f<-n PROPN cana-5245 372 16 / / SYM cana-5245 372 17 n n PRON cana-5245 372 18 a11<-(1 a11<-(1 NOUN cana-5245 372 19 - - PUNCT cana-5245 372 20 f)/n f)/n ADJ cana-5245 372 21 w2<-n2 w2<-n2 PROPN cana-5245 372 22 / / SYM cana-5245 372 23 n n CCONJ cana-5245 372 24 a12<-w2*(k-1)/n a12<-w2*(k-1)/n PROPN cana-5245 372 25 a<-(a11*cx2)+(a12*cx22 a<-(a11*cx2)+(a12*cx22 PROPN cana-5245 372 26 ) ) PUNCT cana-5245 372 27 b<-(a11*cy2)+(a12*cy22 b<-(a11*cy2)+(a12*cy22 PROPN cana-5245 372 28 ) ) PUNCT cana-5245 372 29 c<-(a11*(sqrt(cy2))*(sqrt(cx2))*cyx)+(a12*(sqrt(cy22))*(sqrt(cx22))*cyx2 c<-(a11*(sqrt(cy2))*(sqrt(cx2))*cyx)+(a12*(sqrt(cy22))*(sqrt(cx22))*cyx2 ADV cana-5245 372 30 ) ) PUNCT cana-5245 372 31 d<-(a11*cr2)+(a12*cr22 d<-(a11*cr2)+(a12*cr22 NOUN cana-5245 372 32 ) ) PUNCT cana-5245 372 33 e<-(a11*(sqrt(cy2))*(sqrt(cr2))*cyr)+(a12*(sqrt(cy22))*(sqrt(cr22))*cyr2 e<-(a11*(sqrt(cy2))*(sqrt(cr2))*cyr)+(a12*(sqrt(cy22))*(sqrt(cr22))*cyr2 PUNCT cana-5245 372 34 ) ) PUNCT cana-5245 372 35 f<-(a11*(sqrt(cx2))*(sqrt(cr2))*cxr)+(a12*(sqrt(cx22))*(sqrt(cr22))*cxr2 f<-(a11*(sqrt(cx2))*(sqrt(cr2))*cxr)+(a12*(sqrt(cx22))*(sqrt(cr22))*cxr2 X cana-5245 372 36 ) ) PUNCT cana-5245 372 37 rat<-my rat<-my NOUN cana-5245 372 38 / / SYM cana-5245 372 39 mx mx NOUN cana-5245 372 40 a11<-(mr/(mx*(rat^2)))*((a*d)-(f^2 a11<-(mr/(mx*(rat^2)))*((a*d)-(f^2 PROPN cana-5245 372 41 ) ) PUNCT cana-5245 372 42 ) ) PUNCT cana-5245 372 43 a12<-(mr/(mx*rat))*((c*d)-(e*f a12<-(mr/(mx*rat))*((c*d)-(e*f PROPN cana-5245 372 44 ) ) PUNCT cana-5245 372 45 ) ) PUNCT cana-5245 372 46 communications communication NOUN cana-5245 372 47 on on ADP cana-5245 372 48 applied apply VERB cana-5245 372 49 nonlinear nonlinear ADJ cana-5245 372 50 analysis analysis NOUN cana-5245 372 51 issn issn NOUN cana-5245 372 52 : : PUNCT cana-5245 372 53 1074 1074 NUM cana-5245 372 54 - - PUNCT cana-5245 372 55 133x 133x NUM cana-5245 372 56 vol vol VERB cana-5245 372 57 32 32 NUM cana-5245 372 58 no no NOUN cana-5245 372 59 . . PUNCT cana-5245 373 1 10s 10 NOUN cana-5245 373 2 ( ( PUNCT cana-5245 373 3 2025 2025 NUM cana-5245 373 4 ) ) PUNCT cana-5245 373 5 1467 1467 NUM cana-5245 373 6 https://internationalpubls.com https://internationalpubls.com X cana-5245 373 7 a13<-(1 a13<-(1 PROPN cana-5245 373 8 / / SYM cana-5245 373 9 rat)*((a*e)-(c*f rat)*((a*e)-(c*f PROPN cana-5245 373 10 ) ) PUNCT cana-5245 373 11 ) ) PUNCT cana-5245 373 12 v01<-(mr/(mx*(rat^2 v01<-(mr/(mx*(rat^2 NUM cana-5245 373 13 ) ) PUNCT cana-5245 373 14 ) ) PUNCT cana-5245 373 15 ) ) PUNCT cana-5245 374 1 v021<-((1+b)*((a*d)-(f^2 v021<-((1+b)*((a*d)-(f^2 PROPN cana-5245 374 2 ) ) PUNCT cana-5245 374 3 ) ) PUNCT cana-5245 374 4 ) ) PUNCT cana-5245 375 1 v022<-(c*((e*f)-(c*d v022<-(c*((e*f)-(c*d NUM cana-5245 375 2 ) ) PUNCT cana-5245 375 3 ) ) PUNCT cana-5245 375 4 ) ) PUNCT cana-5245 376 1 v023<-(e*((a*e)-(c*f v023<-(e*((a*e)-(c*f PROPN cana-5245 376 2 ) ) PUNCT cana-5245 376 3 ) ) PUNCT cana-5245 376 4 ) ) PUNCT cana-5245 377 1 v02<-v021+v022 v02<-v021+v022 NOUN cana-5245 377 2 - - PUNCT cana-5245 377 3 v023 v023 PROPN cana-5245 377 4 v0<-v01*v02 v0<-v01*v02 VERB cana-5245 377 5 w1<-a11 w1<-a11 ADJ cana-5245 377 6 / / SYM cana-5245 377 7 v0 v0 NOUN cana-5245 377 8 w2<-a12 w2<-a12 NOUN cana-5245 377 9 / / SYM cana-5245 377 10 v0 v0 NOUN cana-5245 377 11 w3<-a13 w3<-a13 NOUN cana-5245 377 12 / / SYM cana-5245 377 13 v0 v0 NOUN cana-5245 377 14 mt1<-(((w1 mt1<-(((w1 NOUN cana-5245 377 15 - - PUNCT cana-5245 377 16 1)^2 1)^2 NUM cana-5245 377 17 ) ) PUNCT cana-5245 378 1 * * PUNCT cana-5245 379 1 ( ( PUNCT cana-5245 379 2 my^2 my^2 PROPN cana-5245 379 3 ) ) PUNCT cana-5245 379 4 ) ) PUNCT cana-5245 380 1 + + CCONJ cana-5245 380 2 ( ( PUNCT cana-5245 380 3 ( ( PUNCT cana-5245 380 4 w1 w1 NOUN cana-5245 380 5 ^ ^ SYM cana-5245 380 6 2)*(my^2)*b 2)*(my^2)*b NUM cana-5245 380 7 ) ) PUNCT cana-5245 380 8 + + CCONJ cana-5245 380 9 ( ( PUNCT cana-5245 380 10 ( ( PUNCT cana-5245 380 11 w2 w2 NOUN cana-5245 380 12 ^ ^ SYM cana-5245 380 13 2)*(mx^2)*a 2)*(mx^2)*a NUM cana-5245 380 14 ) ) PUNCT cana-5245 380 15 + + CCONJ cana-5245 380 16 ( ( PUNCT cana-5245 380 17 ( ( PUNCT cana-5245 380 18 w3 w3 NOUN cana-5245 380 19 ^ ^ SYM cana-5245 380 20 2)*(mr^2)*d 2)*(mr^2)*d NUM cana-5245 380 21 ) ) PUNCT cana-5245 380 22 ( ( PUNCT cana-5245 380 23 2*w1*w2*my*mx*c 2*w1*w2*my*mx*c NUM cana-5245 380 24 ) ) PUNCT cana-5245 380 25 -(2*w1*w3*my*mr*e -(2*w1*w3*my*mr*e PROPN cana-5245 380 26 ) ) PUNCT cana-5245 380 27 + + CCONJ cana-5245 380 28 ( ( PUNCT cana-5245 380 29 2*w2*w3*mx*mr*f 2*w2*w3*mx*mr*f NUM cana-5245 380 30 ) ) PUNCT cana-5245 380 31 vay<-((y^2)*b vay<-((y^2)*b PROPN cana-5245 380 32 ) ) PUNCT cana-5245 380 33 pre<-((vay*100)/mt1 pre<-((vay*100)/mt1 PROPN cana-5245 380 34 ) ) PUNCT cana-5245 380 35 w11<-(d/(d+(b*d)-(e^2 w11<-(d/(d+(b*d)-(e^2 PROPN cana-5245 380 36 ) ) PUNCT cana-5245 380 37 ) ) PUNCT cana-5245 380 38 ) ) PUNCT cana-5245 380 39 w13<-((mx*rat)/mr)*(e/(d+(b*d)-(e^2 w13<-((mx*rat)/mr)*(e/(d+(b*d)-(e^2 PROPN cana-5245 380 40 ) ) PUNCT cana-5245 380 41 ) ) PUNCT cana-5245 380 42 ) ) PUNCT cana-5245 381 1 mt2<-(((w11 mt2<-(((w11 NOUN cana-5245 381 2 - - PUNCT cana-5245 381 3 1)^2)*(my^2))+((w11 1)^2)*(my^2))+((w11 NUM cana-5245 381 4 ^ ^ NUM cana-5245 381 5 2)*(my^2)*b)+((w13 2)*(my^2)*b)+((w13 NUM cana-5245 381 6 ^ ^ SYM cana-5245 381 7 2)*(mr^2)*d)(2*w11*w13*my*mr*e 2)*(mr^2)*d)(2*w11*w13*my*mr*e NUM cana-5245 381 8 ) ) PUNCT cana-5245 381 9 pre2<-((vay*100)/mt2 pre2<-((vay*100)/mt2 ADJ cana-5245 381 10 ) ) PUNCT cana-5245 381 11 v1<-(1 v1<-(1 NOUN cana-5245 381 12 / / SYM cana-5245 381 13 rat)*((c^2)-(a*(1+b rat)*((c^2)-(a*(1+b NOUN cana-5245 381 14 ) ) PUNCT cana-5245 381 15 ) ) PUNCT cana-5245 381 16 ) ) PUNCT cana-5245 382 1 w31<-(-a/(rat*v1 w31<-(-a/(rat*v1 ADJ cana-5245 382 2 ) ) PUNCT cana-5245 382 3 ) ) PUNCT cana-5245 382 4 w32<-(-c w32<-(-c PROPN cana-5245 382 5 / / SYM cana-5245 382 6 v1 v1 NOUN cana-5245 382 7 ) ) PUNCT cana-5245 382 8 mt3<-(((w31 mt3<-(((w31 PROPN cana-5245 382 9 - - PUNCT cana-5245 382 10 1)^2)*(my^2))+((w31 1)^2)*(my^2))+((w31 NUM cana-5245 382 11 ^ ^ SYM cana-5245 382 12 2)*(my^2)*b)+((w32 2)*(my^2)*b)+((w32 NOUN cana-5245 382 13 ^ ^ SYM cana-5245 382 14 2)*(mx^2)*a)(2*w31*w32*my*mx*c 2)*(mx^2)*a)(2*w31*w32*my*mx*c NUM cana-5245 382 15 ) ) PUNCT cana-5245 382 16 pre3<-((vay*100)/mt3 pre3<-((vay*100)/mt3 NUM cana-5245 382 17 ) ) PUNCT