id sid tid token lemma pos cana-5240 1 1 communications communication NOUN cana-5240 1 2 on on ADP cana-5240 1 3 applied apply VERB cana-5240 1 4 nonlinear nonlinear ADJ cana-5240 1 5 analysis analysis NOUN cana-5240 1 6 issn issn NOUN cana-5240 1 7 : : PUNCT cana-5240 1 8 1074 1074 NUM cana-5240 1 9 - - PUNCT cana-5240 1 10 133x 133x NUM cana-5240 1 11 vol vol VERB cana-5240 1 12 32 32 NUM cana-5240 1 13 no no NOUN cana-5240 1 14 . . PUNCT cana-5240 2 1 10s 10 NOUN cana-5240 2 2 ( ( PUNCT cana-5240 2 3 2025 2025 NUM cana-5240 2 4 ) ) PUNCT cana-5240 2 5 1388 1388 NUM cana-5240 2 6 https://internationalpubls.com https://internationalpubls.com X cana-5240 2 7 an an DET cana-5240 2 8 exponential exponential ADJ cana-5240 2 9 class class NOUN cana-5240 2 10 estimator estimator NOUN cana-5240 2 11 of of ADP cana-5240 2 12 mean mean NOUN cana-5240 2 13 in in ADP cana-5240 2 14 the the DET cana-5240 2 15 presence presence NOUN cana-5240 2 16 of of ADP cana-5240 2 17 correlated correlate VERB cana-5240 2 18 measurement measurement NOUN cana-5240 2 19 error error NOUN cana-5240 2 20 under under ADP cana-5240 2 21 systematic systematic ADJ cana-5240 2 22 sampling sampling NOUN cana-5240 2 23 technique technique NOUN cana-5240 2 24 dr dr PROPN cana-5240 2 25 . . PROPN cana-5240 2 26 jamohan jamohan PROPN cana-5240 2 27 singh singh PROPN cana-5240 2 28 dhakar1 dhakar1 PROPN cana-5240 2 29 , , PUNCT cana-5240 2 30 dr dr PROPN cana-5240 2 31 sanjay sanjay PROPN cana-5240 2 32 jain2 jain2 PROPN cana-5240 2 33 , , PUNCT cana-5240 2 34 dr dr PROPN cana-5240 2 35 . . PROPN cana-5240 2 36 neha neha PROPN cana-5240 2 37 singh3 singh3 PROPN cana-5240 2 38 , , PUNCT cana-5240 2 39 awadhesh awadhesh NOUN cana-5240 2 40 pandey4 pandey4 PROPN cana-5240 2 41 1assistant 1assistant PROPN cana-5240 2 42 professor professor NOUN cana-5240 2 43 ( ( PUNCT cana-5240 2 44 statistics statistic NOUN cana-5240 2 45 ) ) PUNCT cana-5240 2 46 , , PUNCT cana-5240 2 47 department department NOUN cana-5240 2 48 of of ADP cana-5240 2 49 community community NOUN cana-5240 2 50 medicine medicine NOUN cana-5240 2 51 , , PUNCT cana-5240 2 52 virendra virendra PROPN cana-5240 2 53 kumar kumar PROPN cana-5240 2 54 sakhlecha sakhlecha PROPN cana-5240 2 55 government government PROPN cana-5240 2 56 medical medical PROPN cana-5240 2 57 college college PROPN cana-5240 2 58 , , PUNCT cana-5240 2 59 neemuch neemuch PROPN cana-5240 2 60 , , PUNCT cana-5240 2 61 mp mp PROPN cana-5240 2 62 , , PUNCT cana-5240 2 63 india india PROPN cana-5240 2 64 2professor 2professor PROPN cana-5240 2 65 , , PUNCT cana-5240 2 66 department department NOUN cana-5240 2 67 of of ADP cana-5240 2 68 statistics statistic NOUN cana-5240 2 69 , , PUNCT cana-5240 2 70 st st PROPN cana-5240 2 71 . . PROPN cana-5240 2 72 john john PROPN cana-5240 2 73 ’s ’s PROPN cana-5240 2 74 college college PROPN cana-5240 2 75 , , PUNCT cana-5240 2 76 agra agra PROPN cana-5240 2 77 , , PUNCT cana-5240 2 78 up up ADP cana-5240 2 79 , , PUNCT cana-5240 2 80 india india PROPN cana-5240 2 81 3assistant 3assistant PROPN cana-5240 2 82 professor professor NOUN cana-5240 2 83 , , PUNCT cana-5240 2 84 department department NOUN cana-5240 2 85 of of ADP cana-5240 2 86 mathematics mathematics PROPN cana-5240 2 87 , , PUNCT cana-5240 2 88 amrita amrita PROPN cana-5240 2 89 vishwa vishwa PROPN cana-5240 2 90 vidyapeetham vidyapeetham PROPN cana-5240 2 91 , , PUNCT cana-5240 2 92 coimbatore coimbatore PROPN cana-5240 2 93 , , PUNCT cana-5240 2 94 tamil tamil PROPN cana-5240 2 95 nadu nadu PROPN cana-5240 2 96 , , PUNCT cana-5240 2 97 india india PROPN cana-5240 2 98 4department 4department NUM cana-5240 2 99 of of ADP cana-5240 2 100 applied apply VERB cana-5240 2 101 sciences science NOUN cana-5240 2 102 ( ( PUNCT cana-5240 2 103 mathematics mathematic NOUN cana-5240 2 104 ) ) PUNCT cana-5240 2 105 , , PUNCT cana-5240 2 106 ananad ananad PROPN cana-5240 2 107 enginnering enginnering PROPN cana-5240 2 108 college college PROPN cana-5240 2 109 , , PUNCT cana-5240 2 110 agra agra PROPN cana-5240 2 111 , , PUNCT cana-5240 2 112 india india PROPN cana-5240 2 113 corresponding corresponding PROPN cana-5240 2 114 author author NOUN cana-5240 2 115 : : PUNCT cana-5240 2 116 dr dr PROPN cana-5240 2 117 . . PROPN cana-5240 2 118 jamohan jamohan PROPN cana-5240 2 119 singh singh PROPN cana-5240 2 120 dhakar dhakar PROPN cana-5240 2 121 , , PUNCT cana-5240 2 122 mail mail NOUN cana-5240 3 1 i i NOUN cana-5240 3 2 d d PROPN cana-5240 3 3 : : PUNCT cana-5240 4 1 jagmohansinghdhakar@gmail.com jagmohansinghdhakar@gmail.com X cana-5240 4 2 article article NOUN cana-5240 4 3 history history NOUN cana-5240 4 4 : : PUNCT cana-5240 4 5 received receive VERB cana-5240 4 6 : : PUNCT cana-5240 4 7 12 12 NUM cana-5240 4 8 - - SYM cana-5240 4 9 01 01 NUM cana-5240 4 10 - - PUNCT cana-5240 4 11 2025 2025 NUM cana-5240 4 12 revised revise VERB cana-5240 4 13 : : PUNCT cana-5240 4 14 15 15 NUM cana-5240 4 15 - - NUM cana-5240 4 16 02 02 NUM cana-5240 4 17 - - PUNCT cana-5240 4 18 2025 2025 NUM cana-5240 4 19 accepted accept VERB cana-5240 4 20 : : PUNCT cana-5240 4 21 01 01 NUM cana-5240 4 22 - - SYM cana-5240 4 23 03 03 NUM cana-5240 4 24 - - PUNCT cana-5240 4 25 2025 2025 NUM cana-5240 4 26 abstract abstract NOUN cana-5240 4 27 : : PUNCT cana-5240 4 28 in in ADP cana-5240 4 29 this this DET cana-5240 4 30 manuscript manuscript NOUN cana-5240 4 31 , , PUNCT cana-5240 4 32 an an DET cana-5240 4 33 exponential exponential ADJ cana-5240 4 34 class class NOUN cana-5240 4 35 of of ADP cana-5240 4 36 estimators estimator NOUN cana-5240 4 37 is be AUX cana-5240 4 38 proposed propose VERB cana-5240 4 39 to to PART cana-5240 4 40 estimate estimate VERB cana-5240 4 41 the the DET cana-5240 4 42 average average NOUN cana-5240 4 43 of of ADP cana-5240 4 44 the the DET cana-5240 4 45 population population NOUN cana-5240 4 46 by by ADP cana-5240 4 47 using use VERB cana-5240 4 48 auxiliary auxiliary ADJ cana-5240 4 49 variables variable NOUN cana-5240 4 50 in in ADP cana-5240 4 51 the the DET cana-5240 4 52 presence presence NOUN cana-5240 4 53 of of ADP cana-5240 4 54 measurement measurement NOUN cana-5240 4 55 error error NOUN cana-5240 4 56 ( ( PUNCT cana-5240 4 57 me i PRON cana-5240 4 58 ) ) PUNCT cana-5240 4 59 as as ADV cana-5240 4 60 well well ADV cana-5240 4 61 as as ADP cana-5240 4 62 correlated correlate VERB cana-5240 4 63 measurement measurement NOUN cana-5240 4 64 error error NOUN cana-5240 4 65 ( ( PUNCT cana-5240 4 66 cme cme PROPN cana-5240 4 67 ) ) PUNCT cana-5240 4 68 . . PUNCT cana-5240 5 1 the the DET cana-5240 5 2 estimation estimation NOUN cana-5240 5 3 for for ADP cana-5240 5 4 the the DET cana-5240 5 5 average average NOUN cana-5240 5 6 is be AUX cana-5240 5 7 done do VERB cana-5240 5 8 for for ADP cana-5240 5 9 the the DET cana-5240 5 10 systematic systematic ADJ cana-5240 5 11 sampling sampling NOUN cana-5240 5 12 technique technique NOUN cana-5240 5 13 . . PUNCT cana-5240 6 1 the the DET cana-5240 6 2 impact impact NOUN cana-5240 6 3 me i PRON cana-5240 6 4 and and CCONJ cana-5240 6 5 cme cme PROPN cana-5240 6 6 on on ADP cana-5240 6 7 the the DET cana-5240 6 8 mse mse NOUN cana-5240 6 9 of of ADP cana-5240 6 10 the the DET cana-5240 6 11 estimators estimator NOUN cana-5240 6 12 is be AUX cana-5240 6 13 obtained obtain VERB cana-5240 6 14 in in ADP cana-5240 6 15 terms term NOUN cana-5240 6 16 of of ADP cana-5240 6 17 mean mean ADJ cana-5240 6 18 square square ADJ cana-5240 6 19 error error NOUN cana-5240 6 20 ( ( PUNCT cana-5240 6 21 mse mse NOUN cana-5240 6 22 ) ) PUNCT cana-5240 6 23 and and CCONJ cana-5240 6 24 bias bias NOUN cana-5240 6 25 . . PUNCT cana-5240 7 1 the the DET cana-5240 7 2 mean mean ADJ cana-5240 7 3 square square ADJ cana-5240 7 4 error error NOUN cana-5240 7 5 is be AUX cana-5240 7 6 also also ADV cana-5240 7 7 obtained obtain VERB cana-5240 7 8 for for ADP cana-5240 7 9 the the DET cana-5240 7 10 ratio ratio NOUN cana-5240 7 11 , , PUNCT cana-5240 7 12 product product NOUN cana-5240 7 13 and and CCONJ cana-5240 7 14 regression regression NOUN cana-5240 7 15 estimator estimator NOUN cana-5240 7 16 under under ADP cana-5240 7 17 correlated correlate VERB cana-5240 7 18 measurement measurement NOUN cana-5240 7 19 error error NOUN cana-5240 7 20 . . PUNCT cana-5240 8 1 to to PART cana-5240 8 2 validate validate VERB cana-5240 8 3 the the DET cana-5240 8 4 results result NOUN cana-5240 8 5 of of ADP cana-5240 8 6 the the DET cana-5240 8 7 theoretical theoretical ADJ cana-5240 8 8 findings finding NOUN cana-5240 8 9 simulation simulation NOUN cana-5240 8 10 studies study NOUN cana-5240 8 11 is be AUX cana-5240 8 12 done do VERB cana-5240 8 13 by by ADP cana-5240 8 14 using use VERB cana-5240 8 15 r r NOUN cana-5240 8 16 programming programming NOUN cana-5240 8 17 . . PUNCT cana-5240 9 1 keywords keyword NOUN cana-5240 9 2 : : PUNCT cana-5240 9 3 mean mean VERB cana-5240 9 4 , , PUNCT cana-5240 9 5 mean mean ADJ cana-5240 9 6 square square NOUN cana-5240 9 7 error error NOUN cana-5240 9 8 , , PUNCT cana-5240 9 9 bias bias NOUN cana-5240 9 10 , , PUNCT cana-5240 9 11 systematic systematic ADJ cana-5240 9 12 sampling sampling NOUN cana-5240 9 13 , , PUNCT cana-5240 9 14 measurement measurement NOUN cana-5240 9 15 error error NOUN cana-5240 9 16 , , PUNCT cana-5240 9 17 correlated correlate VERB cana-5240 9 18 measurement measurement NOUN cana-5240 9 19 error error NOUN cana-5240 9 20 . . PUNCT cana-5240 10 1 introduction introduction NOUN cana-5240 10 2 cochran cochran PROPN cana-5240 10 3 ( ( PUNCT cana-5240 10 4 1977 1977 NUM cana-5240 10 5 ) ) PUNCT cana-5240 10 6 , , PUNCT cana-5240 10 7 murthy murthy PROPN cana-5240 10 8 ( ( PUNCT cana-5240 10 9 1967 1967 NUM cana-5240 10 10 ) ) PUNCT cana-5240 10 11 , , PUNCT cana-5240 10 12 sukhatme sukhatme PROPN cana-5240 10 13 et et PROPN cana-5240 10 14 . . PUNCT cana-5240 11 1 al al PROPN cana-5240 11 2 . . PROPN cana-5240 12 1 ( ( PUNCT cana-5240 12 2 1984 1984 NUM cana-5240 12 3 ) ) PUNCT cana-5240 12 4 have have AUX cana-5240 12 5 described describe VERB cana-5240 12 6 all all DET cana-5240 12 7 the the DET cana-5240 12 8 literatures literature NOUN cana-5240 12 9 and and CCONJ cana-5240 12 10 theory theory NOUN cana-5240 12 11 about about ADP cana-5240 12 12 sampling sample VERB cana-5240 12 13 techniques technique NOUN cana-5240 12 14 . . PUNCT cana-5240 13 1 systematic systematic ADJ cana-5240 13 2 sampling sampling NOUN cana-5240 13 3 can can AUX cana-5240 13 4 be be AUX cana-5240 13 5 used use VERB cana-5240 13 6 where where SCONJ cana-5240 13 7 the the DET cana-5240 13 8 population population NOUN cana-5240 13 9 are be AUX cana-5240 13 10 natural natural ADJ cana-5240 13 11 population population NOUN cana-5240 13 12 , , PUNCT cana-5240 13 13 for for ADP cana-5240 13 14 instances instance NOUN cana-5240 13 15 selection selection NOUN cana-5240 13 16 of of ADP cana-5240 13 17 every every DET cana-5240 13 18 nth nth NOUN cana-5240 13 19 person person NOUN cana-5240 13 20 visiting visit VERB cana-5240 13 21 to to ADP cana-5240 13 22 a a DET cana-5240 13 23 shopping shopping NOUN cana-5240 13 24 mall mall NOUN cana-5240 13 25 , , PUNCT cana-5240 13 26 selection selection NOUN cana-5240 13 27 of of ADP cana-5240 13 28 a a DET cana-5240 13 29 person person NOUN cana-5240 13 30 from from ADP cana-5240 13 31 the the DET cana-5240 13 32 list list NOUN cana-5240 13 33 of of ADP cana-5240 13 34 any any DET cana-5240 13 35 city city NOUN cana-5240 13 36 or or CCONJ cana-5240 13 37 place place NOUN cana-5240 13 38 , , PUNCT cana-5240 13 39 selection selection NOUN cana-5240 13 40 of of ADP cana-5240 13 41 fields field NOUN cana-5240 13 42 from from ADP cana-5240 13 43 any any DET cana-5240 13 44 geographical geographical ADJ cana-5240 13 45 location location NOUN cana-5240 13 46 . . PUNCT cana-5240 14 1 cochran(1946 cochran(1946 NOUN cana-5240 14 2 ) ) PUNCT cana-5240 14 3 provided provide VERB cana-5240 14 4 certain certain ADJ cana-5240 14 5 situations situation NOUN cana-5240 14 6 where where SCONJ cana-5240 14 7 systematic systematic ADJ cana-5240 14 8 sampling sampling NOUN cana-5240 14 9 is be AUX cana-5240 14 10 more more ADV cana-5240 14 11 efficient efficient ADJ cana-5240 14 12 in in ADP cana-5240 14 13 comparison comparison NOUN cana-5240 14 14 to to ADP cana-5240 14 15 simple simple ADJ cana-5240 14 16 random random ADJ cana-5240 14 17 sampling sampling NOUN cana-5240 14 18 and and CCONJ cana-5240 14 19 stratified stratified ADJ cana-5240 14 20 sampling sampling NOUN cana-5240 14 21 . . PUNCT cana-5240 15 1 gautschi gautschi X cana-5240 15 2 ( ( PUNCT cana-5240 15 3 1957 1957 NUM cana-5240 15 4 ) ) PUNCT cana-5240 15 5 , , PUNCT cana-5240 15 6 meadow meadow NOUN cana-5240 15 7 ( ( PUNCT cana-5240 15 8 1949 1949 NUM cana-5240 15 9 , , PUNCT cana-5240 15 10 1953 1953 NUM cana-5240 15 11 ) ) PUNCT cana-5240 15 12 are be AUX cana-5240 15 13 legends legend NOUN cana-5240 15 14 in in ADP cana-5240 15 15 the the DET cana-5240 15 16 literature literature NOUN cana-5240 15 17 of of ADP cana-5240 15 18 systematic systematic ADJ cana-5240 15 19 sampling sampling NOUN cana-5240 15 20 . . PUNCT cana-5240 16 1 lahiri lahiri PROPN cana-5240 16 2 ( ( PUNCT cana-5240 16 3 1954 1954 NUM cana-5240 16 4 ) ) PUNCT cana-5240 16 5 , , PUNCT cana-5240 16 6 and and CCONJ cana-5240 16 7 williams williams PROPN cana-5240 16 8 ( ( PUNCT cana-5240 16 9 1956 1956 NUM cana-5240 16 10 ) ) PUNCT cana-5240 16 11 have have AUX cana-5240 16 12 done do VERB cana-5240 16 13 remarkable remarkable ADJ cana-5240 16 14 work work NOUN cana-5240 16 15 in in ADP cana-5240 16 16 the the DET cana-5240 16 17 systematic systematic ADJ cana-5240 16 18 sampling sampling NOUN cana-5240 16 19 . . PUNCT cana-5240 17 1 auxiliary auxiliary ADJ cana-5240 17 2 information information NOUN cana-5240 17 3 is be AUX cana-5240 17 4 used use VERB cana-5240 17 5 to to PART cana-5240 17 6 obtain obtain VERB cana-5240 17 7 better well ADJ cana-5240 17 8 efficiency efficiency NOUN cana-5240 17 9 in in ADP cana-5240 17 10 terms term NOUN cana-5240 17 11 of of ADP cana-5240 17 12 precision precision NOUN cana-5240 17 13 and and CCONJ cana-5240 17 14 to to PART cana-5240 17 15 reduce reduce VERB cana-5240 17 16 the the DET cana-5240 17 17 cost cost NOUN cana-5240 17 18 of of ADP cana-5240 17 19 survey survey NOUN cana-5240 17 20 . . PUNCT cana-5240 18 1 for for ADP cana-5240 18 2 instance instance NOUN cana-5240 18 3 , , PUNCT cana-5240 18 4 in in ADP cana-5240 18 5 the the DET cana-5240 18 6 estimation estimation NOUN cana-5240 18 7 of of ADP cana-5240 18 8 the the DET cana-5240 18 9 crop crop NOUN cana-5240 18 10 , , PUNCT cana-5240 18 11 temperature temperature NOUN cana-5240 18 12 fertilizer fertilizer NOUN cana-5240 18 13 , , PUNCT cana-5240 18 14 irrigation irrigation NOUN cana-5240 18 15 can can AUX cana-5240 18 16 be be AUX cana-5240 18 17 considered consider VERB cana-5240 18 18 as as ADP cana-5240 18 19 amount amount NOUN cana-5240 18 20 auxiliary auxiliary ADJ cana-5240 18 21 information information NOUN cana-5240 18 22 . . PUNCT cana-5240 19 1 to to PART cana-5240 19 2 estimate estimate VERB cana-5240 19 3 the the DET cana-5240 19 4 income income NOUN cana-5240 19 5 of of ADP cana-5240 19 6 any any DET cana-5240 19 7 place place NOUN cana-5240 19 8 , , PUNCT cana-5240 19 9 the the DET cana-5240 19 10 expenditure expenditure NOUN cana-5240 19 11 and and CCONJ cana-5240 19 12 different different ADJ cana-5240 19 13 sources source NOUN cana-5240 19 14 of of ADP cana-5240 19 15 income income NOUN cana-5240 19 16 can can AUX cana-5240 19 17 be be AUX cana-5240 19 18 considered consider VERB cana-5240 19 19 as as ADP cana-5240 19 20 auxiliary auxiliary ADJ cana-5240 19 21 variable variable NOUN cana-5240 19 22 . . PUNCT cana-5240 20 1 murthy murthy ADJ cana-5240 20 2 ( ( PUNCT cana-5240 20 3 1964 1964 NUM cana-5240 20 4 ) ) PUNCT cana-5240 20 5 addressed address VERB cana-5240 20 6 the the DET cana-5240 20 7 conditions condition NOUN cana-5240 20 8 under under ADP cana-5240 20 9 which which PRON cana-5240 20 10 the the DET cana-5240 20 11 estimations estimation NOUN cana-5240 20 12 techniques technique VERB cana-5240 20 13 ratio ratio NOUN cana-5240 20 14 , , PUNCT cana-5240 20 15 product product NOUN cana-5240 20 16 and and CCONJ cana-5240 20 17 unbiased unbiased ADJ cana-5240 20 18 estimators estimator NOUN cana-5240 20 19 can can AUX cana-5240 20 20 be be AUX cana-5240 20 21 communications communication NOUN cana-5240 20 22 on on ADP cana-5240 20 23 applied apply VERB cana-5240 20 24 nonlinear nonlinear ADJ cana-5240 20 25 analysis analysis NOUN cana-5240 20 26 issn issn NOUN cana-5240 20 27 : : PUNCT cana-5240 20 28 1074 1074 NUM cana-5240 20 29 - - PUNCT cana-5240 20 30 133x 133x NUM cana-5240 20 31 vol vol VERB cana-5240 20 32 32 32 NUM cana-5240 20 33 no no NOUN cana-5240 20 34 . . PUNCT cana-5240 21 1 10s 10 NOUN cana-5240 21 2 ( ( PUNCT cana-5240 21 3 2025 2025 NUM cana-5240 21 4 ) ) PUNCT cana-5240 21 5 1389 1389 NUM cana-5240 21 6 https://internationalpubls.com https://internationalpubls.com X cana-5240 21 7 efficiently efficiently ADV cana-5240 21 8 used use VERB cana-5240 21 9 . . PUNCT cana-5240 22 1 use use NOUN cana-5240 22 2 of of ADP cana-5240 22 3 auxiliary auxiliary ADJ cana-5240 22 4 variable variable NOUN cana-5240 22 5 in in ADP cana-5240 22 6 context context NOUN cana-5240 22 7 of of ADP cana-5240 22 8 systematic systematic ADJ cana-5240 22 9 sampling sampling NOUN cana-5240 22 10 was be AUX cana-5240 22 11 done do VERB cana-5240 22 12 by by ADP cana-5240 22 13 swain swain PROPN cana-5240 22 14 ( ( PUNCT cana-5240 22 15 1964 1964 NUM cana-5240 22 16 ) ) PUNCT cana-5240 22 17 . . PUNCT cana-5240 23 1 as as SCONJ cana-5240 23 2 he he PRON cana-5240 23 3 shown show VERB cana-5240 23 4 that that SCONJ cana-5240 23 5 systematic systematic ADJ cana-5240 23 6 sampling sampling NOUN cana-5240 23 7 is be AUX cana-5240 23 8 very very ADV cana-5240 23 9 efficient efficient ADJ cana-5240 23 10 for for ADP cana-5240 23 11 estimation estimation NOUN cana-5240 23 12 of of ADP cana-5240 23 13 volume volume NOUN cana-5240 23 14 of of ADP cana-5240 23 15 timber timber NOUN cana-5240 23 16 where where SCONJ cana-5240 23 17 auxiliary auxiliary ADJ cana-5240 23 18 information information NOUN cana-5240 23 19 can can AUX cana-5240 23 20 be be AUX cana-5240 23 21 taken take VERB cana-5240 23 22 as as ADP cana-5240 23 23 area area NOUN cana-5240 23 24 of of ADP cana-5240 23 25 the the DET cana-5240 23 26 leaf leaf NOUN cana-5240 23 27 or or CCONJ cana-5240 23 28 the the DET cana-5240 23 29 tree tree NOUN cana-5240 23 30 ’s ’s PART cana-5240 23 31 girth girth NOUN cana-5240 23 32 as as SCONJ cana-5240 23 33 suggested suggest VERB cana-5240 23 34 by by ADP cana-5240 23 35 in in ADP cana-5240 23 36 introducing introduce VERB cana-5240 23 37 ratio ratio NOUN cana-5240 23 38 estimator estimator NOUN cana-5240 23 39 for for ADP cana-5240 23 40 systematic systematic ADJ cana-5240 23 41 sampling sampling NOUN cana-5240 23 42 . . PUNCT cana-5240 24 1 the the DET cana-5240 24 2 product product NOUN cana-5240 24 3 estimator estimator NOUN cana-5240 24 4 for for ADP cana-5240 24 5 systematic systematic ADJ cana-5240 24 6 sampling sampling NOUN cana-5240 24 7 was be AUX cana-5240 24 8 introduce introduce NOUN cana-5240 24 9 by by ADP cana-5240 24 10 shukla shukla NOUN cana-5240 24 11 ( ( PUNCT cana-5240 24 12 1971 1971 NUM cana-5240 24 13 ) ) PUNCT cana-5240 24 14 . . PUNCT cana-5240 25 1 measurement measurement NOUN cana-5240 25 2 error error NOUN cana-5240 25 3 is be AUX cana-5240 25 4 the the DET cana-5240 25 5 contamination contamination NOUN cana-5240 25 6 commingled commingle VERB cana-5240 25 7 in in ADP cana-5240 25 8 data datum NOUN cana-5240 25 9 during during ADP cana-5240 25 10 the the DET cana-5240 25 11 survey survey NOUN cana-5240 25 12 or or CCONJ cana-5240 25 13 during during ADP cana-5240 25 14 the the DET cana-5240 25 15 compilation compilation NOUN cana-5240 25 16 of of ADP cana-5240 25 17 the the DET cana-5240 25 18 data datum NOUN cana-5240 25 19 . . PUNCT cana-5240 26 1 shalabh shalabh PROPN cana-5240 26 2 ( ( PUNCT cana-5240 26 3 1997 1997 NUM cana-5240 26 4 ) ) PUNCT cana-5240 26 5 addressed address VERB cana-5240 26 6 the the DET cana-5240 26 7 impact impact NOUN cana-5240 26 8 of of ADP cana-5240 26 9 measurement measurement NOUN cana-5240 26 10 error error NOUN cana-5240 26 11 in in ADP cana-5240 26 12 ratio ratio NOUN cana-5240 26 13 estimation estimation NOUN cana-5240 26 14 for for ADP cana-5240 26 15 simple simple ADJ cana-5240 26 16 random random ADJ cana-5240 26 17 sampling sampling NOUN cana-5240 26 18 . . PUNCT cana-5240 27 1 singh singh PROPN cana-5240 27 2 et et PROPN cana-5240 27 3 . . PUNCT cana-5240 28 1 al al PROPN cana-5240 28 2 . . PROPN cana-5240 29 1 ( ( PUNCT cana-5240 29 2 2019 2019 NUM cana-5240 29 3 ) ) PUNCT cana-5240 29 4 proposed propose VERB cana-5240 29 5 an an DET cana-5240 29 6 efficient efficient ADJ cana-5240 29 7 variant variant NOUN cana-5240 29 8 of of ADP cana-5240 29 9 the the DET cana-5240 29 10 ratio ratio NOUN cana-5240 29 11 , , PUNCT cana-5240 29 12 product product NOUN cana-5240 29 13 and and CCONJ cana-5240 29 14 mean mean ADJ cana-5240 29 15 estimator estimator NOUN cana-5240 29 16 in in ADP cana-5240 29 17 the the DET cana-5240 29 18 presence presence NOUN cana-5240 29 19 of of ADP cana-5240 29 20 measurement measurement NOUN cana-5240 29 21 error error NOUN cana-5240 29 22 . . PUNCT cana-5240 30 1 the the DET cana-5240 30 2 assumption assumption NOUN cana-5240 30 3 of of ADP cana-5240 30 4 measurement measurement NOUN cana-5240 30 5 error error NOUN cana-5240 30 6 in in ADP cana-5240 30 7 the the DET cana-5240 30 8 previous previous ADJ cana-5240 30 9 literature literature NOUN cana-5240 30 10 of of ADP cana-5240 30 11 the the DET cana-5240 30 12 study study NOUN cana-5240 30 13 variable variable NOUN cana-5240 30 14 π‘Œ π‘Œ PROPN cana-5240 30 15 and and CCONJ cana-5240 30 16 auxiliary auxiliary ADJ cana-5240 30 17 variable variable NOUN cana-5240 30 18 𝑋 𝑋 PROPN cana-5240 30 19 are be AUX cana-5240 30 20 uncorrelated uncorrelate VERB cana-5240 30 21 . . PUNCT cana-5240 31 1 the the DET cana-5240 31 2 measurement measurement NOUN cana-5240 31 3 errors error NOUN cana-5240 31 4 of of ADP cana-5240 31 5 the the DET cana-5240 31 6 study study NOUN cana-5240 31 7 variable variable NOUN cana-5240 31 8 π‘Œ π‘Œ PROPN cana-5240 31 9 and and CCONJ cana-5240 31 10 auxiliary auxiliary ADJ cana-5240 31 11 variable variable NOUN cana-5240 31 12 𝑋 𝑋 PROPN cana-5240 31 13 may may AUX cana-5240 31 14 be be AUX cana-5240 31 15 correlated correlate VERB cana-5240 31 16 with with ADP cana-5240 31 17 each each DET cana-5240 31 18 other other ADJ cana-5240 31 19 as as ADP cana-5240 31 20 the the DET cana-5240 31 21 same same ADJ cana-5240 31 22 person person NOUN cana-5240 31 23 or or CCONJ cana-5240 31 24 same same ADJ cana-5240 31 25 instrument instrument NOUN cana-5240 31 26 are be AUX cana-5240 31 27 used use VERB cana-5240 31 28 to to PART cana-5240 31 29 collect collect VERB cana-5240 31 30 the the DET cana-5240 31 31 information information NOUN cana-5240 31 32 for for ADP cana-5240 31 33 both both DET cana-5240 31 34 variables variable NOUN cana-5240 31 35 . . PUNCT cana-5240 32 1 shalabh shalabh PROPN cana-5240 32 2 and and CCONJ cana-5240 32 3 tsai tsai PROPN cana-5240 32 4 ( ( PUNCT cana-5240 32 5 2017 2017 NUM cana-5240 32 6 ) ) PUNCT cana-5240 32 7 first first ADV cana-5240 32 8 introduce introduce VERB cana-5240 32 9 the the DET cana-5240 32 10 correlated correlate VERB cana-5240 32 11 measurement measurement NOUN cana-5240 32 12 error error NOUN cana-5240 32 13 with with ADP cana-5240 32 14 reference reference NOUN cana-5240 32 15 to to ADP cana-5240 32 16 ratio ratio NOUN cana-5240 32 17 , , PUNCT cana-5240 32 18 product product NOUN cana-5240 32 19 regression regression NOUN cana-5240 32 20 estimator estimator NOUN cana-5240 32 21 . . PUNCT cana-5240 33 1 further further PROPN cana-5240 33 2 singh singh PROPN cana-5240 33 3 and and CCONJ cana-5240 33 4 vishwakarma vishwakarma PROPN cana-5240 33 5 ( ( PUNCT cana-5240 33 6 2019 2019 NUM cana-5240 33 7 ) ) PUNCT cana-5240 33 8 studied study VERB cana-5240 33 9 about about ADP cana-5240 33 10 measurement measurement NOUN cana-5240 33 11 error error NOUN cana-5240 33 12 . . PUNCT cana-5240 34 1 singh singh PROPN cana-5240 34 2 and and CCONJ cana-5240 34 3 vishwakarma vishwakarma PROPN cana-5240 34 4 ( ( PUNCT cana-5240 34 5 2020 2020 NUM cana-5240 34 6 ) ) PUNCT cana-5240 34 7 introduce introduce VERB cana-5240 34 8 measurement measurement NOUN cana-5240 34 9 error error NOUN cana-5240 34 10 in in ADP cana-5240 34 11 the the DET cana-5240 34 12 context context NOUN cana-5240 34 13 of of ADP cana-5240 34 14 systematic systematic ADJ cana-5240 34 15 sampling sampling NOUN cana-5240 34 16 . . PUNCT cana-5240 35 1 they they PRON cana-5240 35 2 provided provide VERB cana-5240 35 3 mean mean ADJ cana-5240 35 4 square square ADJ cana-5240 35 5 error error NOUN cana-5240 35 6 for for ADP cana-5240 35 7 ratio ratio NOUN cana-5240 35 8 estimator estimator NOUN cana-5240 35 9 , , PUNCT cana-5240 35 10 product product NOUN cana-5240 35 11 estimator estimator NOUN cana-5240 35 12 and and CCONJ cana-5240 35 13 regression regression NOUN cana-5240 35 14 estimator estimator NOUN cana-5240 35 15 in in ADP cana-5240 35 16 the the DET cana-5240 35 17 presence presence NOUN cana-5240 35 18 of of ADP cana-5240 35 19 measurement measurement NOUN cana-5240 35 20 error error NOUN cana-5240 35 21 for for ADP cana-5240 35 22 systematic systematic ADJ cana-5240 35 23 sampling sampling NOUN cana-5240 35 24 . . PUNCT cana-5240 36 1 in in ADP cana-5240 36 2 preexisting preexist VERB cana-5240 36 3 literature literature NOUN cana-5240 36 4 , , PUNCT cana-5240 36 5 only only ADV cana-5240 36 6 singh singh PROPN cana-5240 36 7 and and CCONJ cana-5240 36 8 vishwakarma vishwakarma PROPN cana-5240 36 9 ( ( PUNCT cana-5240 36 10 2020 2020 NUM cana-5240 36 11 ) ) PUNCT cana-5240 36 12 have have AUX cana-5240 36 13 addressed address VERB cana-5240 36 14 the the DET cana-5240 36 15 measurement measurement NOUN cana-5240 36 16 error error NOUN cana-5240 36 17 in in ADP cana-5240 36 18 context context NOUN cana-5240 36 19 of of ADP cana-5240 36 20 systematic systematic ADJ cana-5240 36 21 sampling sampling NOUN cana-5240 36 22 . . PUNCT cana-5240 37 1 also also ADV cana-5240 37 2 , , PUNCT cana-5240 37 3 no no DET cana-5240 37 4 any any DET cana-5240 37 5 studied study VERB cana-5240 37 6 is be AUX cana-5240 37 7 done do VERB cana-5240 37 8 for for ADP cana-5240 37 9 correlated correlate VERB cana-5240 37 10 measurement measurement NOUN cana-5240 37 11 error error NOUN cana-5240 37 12 in in ADP cana-5240 37 13 context context NOUN cana-5240 37 14 of of ADP cana-5240 37 15 systematic systematic ADJ cana-5240 37 16 sampling sampling NOUN cana-5240 37 17 . . PUNCT cana-5240 38 1 by by ADP cana-5240 38 2 considering consider VERB cana-5240 38 3 , , PUNCT cana-5240 38 4 the the DET cana-5240 38 5 wide wide ADJ cana-5240 38 6 applicability applicability NOUN cana-5240 38 7 of of ADP cana-5240 38 8 systematic systematic ADJ cana-5240 38 9 sampling sampling NOUN cana-5240 38 10 and and CCONJ cana-5240 38 11 following follow VERB cana-5240 38 12 above above ADP cana-5240 38 13 literature literature NOUN cana-5240 38 14 , , PUNCT cana-5240 38 15 in in ADP cana-5240 38 16 this this DET cana-5240 38 17 manuscript manuscript NOUN cana-5240 38 18 , , PUNCT cana-5240 38 19 a a DET cana-5240 38 20 well well ADV cana-5240 38 21 - - PUNCT cana-5240 38 22 known know VERB cana-5240 38 23 exponential exponential ADJ cana-5240 38 24 estimator estimator NOUN cana-5240 38 25 is be AUX cana-5240 38 26 proposed propose VERB cana-5240 38 27 to to PART cana-5240 38 28 obtain obtain VERB cana-5240 38 29 the the DET cana-5240 38 30 effect effect NOUN cana-5240 38 31 of of ADP cana-5240 38 32 measurement measurement NOUN cana-5240 38 33 error error NOUN cana-5240 38 34 as as ADV cana-5240 38 35 well well ADV cana-5240 38 36 as as ADP cana-5240 38 37 correlated correlate VERB cana-5240 38 38 measurement measurement NOUN cana-5240 38 39 error error NOUN cana-5240 38 40 on on ADP cana-5240 38 41 mean mean ADJ cana-5240 38 42 square square ADJ cana-5240 38 43 error error NOUN cana-5240 38 44 . . PUNCT cana-5240 39 1 the the DET cana-5240 39 2 mean mean ADJ cana-5240 39 3 square square ADJ cana-5240 39 4 error error NOUN cana-5240 39 5 is be AUX cana-5240 39 6 also also ADV cana-5240 39 7 derived derive VERB cana-5240 39 8 for for ADP cana-5240 39 9 well well ADV cana-5240 39 10 - - PUNCT cana-5240 39 11 known know VERB cana-5240 39 12 namely namely ADV cana-5240 39 13 ratio ratio NOUN cana-5240 39 14 and and CCONJ cana-5240 39 15 product product NOUN cana-5240 39 16 estimator estimator NOUN cana-5240 39 17 in in ADP cana-5240 39 18 the the DET cana-5240 39 19 presence presence NOUN cana-5240 39 20 of of ADP cana-5240 39 21 correlated correlate VERB cana-5240 39 22 measurement measurement NOUN cana-5240 39 23 error error NOUN cana-5240 39 24 under under ADP cana-5240 39 25 systematic systematic ADJ cana-5240 39 26 sampling sampling NOUN cana-5240 39 27 . . PUNCT cana-5240 40 1 for for ADP cana-5240 40 2 systematic systematic ADJ cana-5240 40 3 sampling sampling NOUN cana-5240 40 4 , , PUNCT cana-5240 40 5 the the DET cana-5240 40 6 population population NOUN cana-5240 40 7 of of ADP cana-5240 40 8 size size NOUN cana-5240 40 9 𝑁 𝑁 PROPN cana-5240 40 10 is be AUX cana-5240 40 11 divided divide VERB cana-5240 40 12 into into ADP cana-5240 40 13 π‘˜ π‘˜ DET cana-5240 40 14 intervals interval NOUN cana-5240 40 15 such such ADJ cana-5240 40 16 that that SCONJ cana-5240 40 17 𝑁 𝑁 PROPN cana-5240 40 18 = = PUNCT cana-5240 40 19 π‘›π‘˜. π‘›π‘˜. NOUN cana-5240 40 20 sample sample NOUN cana-5240 40 21 of of ADP cana-5240 40 22 size size NOUN cana-5240 40 23 𝑛 𝑛 PROPN cana-5240 40 24 is be AUX cana-5240 40 25 selected select VERB cana-5240 40 26 through through ADP cana-5240 40 27 systematic systematic ADJ cana-5240 40 28 sampling sampling NOUN cana-5240 40 29 . . PUNCT cana-5240 41 1 as as SCONJ cana-5240 41 2 first first ADJ cana-5240 41 3 unit unit NOUN cana-5240 41 4 is be AUX cana-5240 41 5 selected select VERB cana-5240 41 6 at at ADP cana-5240 41 7 random random ADJ cana-5240 41 8 from from ADP cana-5240 41 9 the the DET cana-5240 41 10 first first ADJ cana-5240 41 11 π‘˜ π‘˜ DET cana-5240 41 12 units unit NOUN cana-5240 41 13 . . PUNCT cana-5240 42 1 if if SCONJ cana-5240 42 2 the the DET cana-5240 42 3 first first ADJ cana-5240 42 4 unit unit NOUN cana-5240 42 5 is be AUX cana-5240 42 6 the the DET cana-5240 42 7 𝑖th 𝑖th X cana-5240 42 8 unit unit NOUN cana-5240 42 9 of of ADP cana-5240 42 10 the the DET cana-5240 42 11 first first ADJ cana-5240 42 12 π‘˜ π‘˜ DET cana-5240 42 13 units unit NOUN cana-5240 42 14 the the DET cana-5240 42 15 second second ADJ cana-5240 42 16 unit unit NOUN cana-5240 42 17 of of ADP cana-5240 42 18 the the DET cana-5240 42 19 sample sample NOUN cana-5240 42 20 is be AUX cana-5240 42 21 the the DET cana-5240 42 22 𝑖 𝑖 PROPN cana-5240 42 23 + + CCONJ cana-5240 42 24 π‘˜th π‘˜th NOUN cana-5240 42 25 unit unit NOUN cana-5240 42 26 of of ADP cana-5240 42 27 the the DET cana-5240 42 28 second second ADJ cana-5240 42 29 π‘˜ π‘˜ DET cana-5240 42 30 units unit NOUN cana-5240 42 31 . . PUNCT cana-5240 43 1 similarly similarly ADV cana-5240 43 2 , , PUNCT cana-5240 43 3 other other ADJ cana-5240 43 4 units unit NOUN cana-5240 43 5 of of ADP cana-5240 43 6 the the DET cana-5240 43 7 samples sample NOUN cana-5240 43 8 are be AUX cana-5240 43 9 selected select VERB cana-5240 43 10 . . PUNCT cana-5240 44 1 after after SCONJ cana-5240 44 2 sampling sample VERB cana-5240 44 3 of of ADP cana-5240 44 4 𝑛 𝑛 DET cana-5240 44 5 units unit NOUN cana-5240 44 6 are be AUX cana-5240 44 7 done do VERB cana-5240 44 8 through through ADP cana-5240 44 9 systematic systematic ADJ cana-5240 44 10 sampling sampling NOUN cana-5240 44 11 we we PRON cana-5240 44 12 observe observe VERB cana-5240 44 13 the the DET cana-5240 44 14 study study NOUN cana-5240 44 15 and and CCONJ cana-5240 44 16 auxiliary auxiliary ADJ cana-5240 44 17 variables variable NOUN cana-5240 44 18 . . PUNCT cana-5240 45 1 it it PRON cana-5240 45 2 is be AUX cana-5240 45 3 considered consider VERB cana-5240 45 4 that that SCONJ cana-5240 45 5 a a DET cana-5240 45 6 situation situation NOUN cana-5240 45 7 where where SCONJ cana-5240 45 8 each each DET cana-5240 45 9 data datum NOUN cana-5240 45 10 of of ADP cana-5240 45 11 the the DET cana-5240 45 12 study study NOUN cana-5240 45 13 and and CCONJ cana-5240 45 14 auxiliary auxiliary ADJ cana-5240 45 15 variable variable NOUN cana-5240 45 16 are be AUX cana-5240 45 17 observed observe VERB cana-5240 45 18 with with ADP cana-5240 45 19 error error NOUN cana-5240 45 20 . . PUNCT cana-5240 46 1 let let VERB cana-5240 46 2 us we PRON cana-5240 46 3 assume assume VERB cana-5240 46 4 ( ( PUNCT cana-5240 46 5 π‘₯𝑖𝑗 π‘₯𝑖𝑗 PROPN cana-5240 46 6 , , PUNCT cana-5240 46 7 𝑦𝑖𝑗 𝑦𝑖𝑗 PROPN cana-5240 46 8 ) ) PUNCT cana-5240 46 9 be be VERB cana-5240 46 10 the the DET cana-5240 46 11 observed observed ADJ cana-5240 46 12 values value NOUN cana-5240 46 13 and and CCONJ cana-5240 46 14 their their PRON cana-5240 46 15 true true ADJ cana-5240 46 16 values value NOUN cana-5240 46 17 are be AUX cana-5240 46 18 ( ( PUNCT cana-5240 46 19 𝑋𝑖𝑗 𝑋𝑖𝑗 NOUN cana-5240 46 20 , , PUNCT cana-5240 46 21 π‘Œπ‘–π‘— π‘Œπ‘–π‘— PROPN cana-5240 46 22 ) ) PUNCT cana-5240 46 23 where where SCONJ cana-5240 46 24 the the DET cana-5240 46 25 subscript subscript NOUN cana-5240 46 26 𝑖𝑗 𝑖𝑗 PART cana-5240 46 27 represents represent VERB cana-5240 46 28 𝑗th 𝑗th ADP cana-5240 46 29 unit unit NOUN cana-5240 46 30 of of ADP cana-5240 46 31 the the DET cana-5240 46 32 𝑖th 𝑖th NOUN cana-5240 46 33 interval interval NOUN cana-5240 46 34 and and CCONJ cana-5240 46 35 𝑖 𝑖 NOUN cana-5240 46 36 = = SYM cana-5240 46 37 1,2 1,2 NUM cana-5240 46 38 , , PUNCT cana-5240 46 39 … … PUNCT cana-5240 46 40 , , PUNCT cana-5240 46 41 π‘˜ π‘˜ NOUN cana-5240 46 42 and and CCONJ cana-5240 46 43 𝑗 𝑗 NOUN cana-5240 46 44 = = SYM cana-5240 46 45 1,2 1,2 NUM cana-5240 46 46 , , PUNCT cana-5240 46 47 … … PUNCT cana-5240 46 48 , , PUNCT cana-5240 46 49 𝑛. 𝑛. NOUN cana-5240 46 50 as as SCONJ cana-5240 46 51 the the DET cana-5240 46 52 observed observed ADJ cana-5240 46 53 values value NOUN cana-5240 46 54 are be AUX cana-5240 46 55 with with ADP cana-5240 46 56 errors error NOUN cana-5240 46 57 they they PRON cana-5240 46 58 can can AUX cana-5240 46 59 be be AUX cana-5240 46 60 represented represent VERB cana-5240 46 61 in in ADP cana-5240 46 62 the the DET cana-5240 46 63 following follow VERB cana-5240 46 64 form form NOUN cana-5240 46 65 , , PUNCT cana-5240 46 66 π‘₯𝑖𝑗 π‘₯𝑖𝑗 PROPN cana-5240 46 67 = = SYM cana-5240 46 68 𝑋𝑖𝑗 𝑋𝑖𝑗 PROPN cana-5240 46 69 + + CCONJ cana-5240 46 70 𝑉𝑖𝑗 𝑉𝑖𝑗 PROPN cana-5240 46 71 and and CCONJ cana-5240 46 72 𝑦𝑖𝑗 𝑦𝑖𝑗 NOUN cana-5240 46 73 = = PUNCT cana-5240 46 74 π‘Œπ‘–π‘— π‘Œπ‘–π‘— PROPN cana-5240 46 75 + + CCONJ cana-5240 46 76 π‘ˆπ‘–π‘— π‘ˆπ‘–π‘— PROPN cana-5240 46 77 and and CCONJ cana-5240 46 78 ( ( PUNCT cana-5240 46 79 π‘ˆ π‘ˆ PROPN cana-5240 46 80 , , PUNCT cana-5240 46 81 𝑉 𝑉 PROPN cana-5240 46 82 ) ) PUNCT cana-5240 46 83 represent represent VERB cana-5240 46 84 the the DET cana-5240 46 85 errors error NOUN cana-5240 46 86 . . PUNCT cana-5240 47 1 the the DET cana-5240 47 2 errors error NOUN cana-5240 47 3 ( ( PUNCT cana-5240 47 4 π‘ˆ π‘ˆ PROPN cana-5240 47 5 , , PUNCT cana-5240 47 6 𝑉 𝑉 PROPN cana-5240 47 7 ) ) PUNCT cana-5240 47 8 are be AUX cana-5240 47 9 normally normally ADV cana-5240 47 10 distributed distribute VERB cana-5240 47 11 with with ADP cana-5240 47 12 mean mean NOUN cana-5240 47 13 zero zero NUM cana-5240 47 14 and and CCONJ cana-5240 47 15 variance variance NOUN cana-5240 47 16 ( ( PUNCT cana-5240 47 17 πœŽπ‘ˆ πœŽπ‘ˆ X cana-5240 47 18 2 2 NUM cana-5240 47 19 , , PUNCT cana-5240 47 20 πœŽπ‘‰ πœŽπ‘‰ NOUN cana-5240 47 21 2 2 NUM cana-5240 47 22 ) ) PUNCT cana-5240 47 23 . . PUNCT cana-5240 48 1 let let VERB cana-5240 48 2 us we PRON cana-5240 48 3 assume assume VERB cana-5240 48 4 that that SCONJ cana-5240 48 5 the the DET cana-5240 48 6 error error NOUN cana-5240 48 7 variables variable VERB cana-5240 48 8 π‘ˆ π‘ˆ PROPN cana-5240 48 9 and and CCONJ cana-5240 48 10 𝑉 𝑉 PROPN cana-5240 48 11 are be AUX cana-5240 48 12 correlated correlate VERB cana-5240 48 13 to to ADP cana-5240 48 14 each each DET cana-5240 48 15 other other ADJ cana-5240 48 16 and and CCONJ cana-5240 48 17 a a PRON cana-5240 48 18 they they PRON cana-5240 48 19 are be AUX cana-5240 48 20 uncorrelated uncorrelated ADJ cana-5240 48 21 to to ADP cana-5240 48 22 all all DET cana-5240 48 23 the the DET cana-5240 48 24 combination combination NOUN cana-5240 48 25 with with ADP cana-5240 48 26 the the DET cana-5240 48 27 study study NOUN cana-5240 48 28 and and CCONJ cana-5240 48 29 auxiliary auxiliary ADJ cana-5240 48 30 variables variable NOUN cana-5240 48 31 𝑋 𝑋 PROPN cana-5240 48 32 and and CCONJ cana-5240 48 33 π‘Œ. π‘Œ. PROPN cana-5240 48 34 from from ADP cana-5240 48 35 the the DET cana-5240 48 36 before before ADP cana-5240 48 37 mentioned mention VERB cana-5240 48 38 assumptions assumption NOUN cana-5240 48 39 we we PRON cana-5240 48 40 obtain obtain VERB cana-5240 48 41 πΆπ‘œπ‘£(𝑋 πΆπ‘œπ‘£(𝑋 PROPN cana-5240 48 42 , , PUNCT cana-5240 48 43 π‘ˆ π‘ˆ PROPN cana-5240 48 44 ) ) PUNCT cana-5240 48 45 = = SYM cana-5240 48 46 πΆπ‘œπ‘£(π‘Œ πΆπ‘œπ‘£(π‘Œ PROPN cana-5240 48 47 , , PUNCT cana-5240 48 48 π‘ˆ π‘ˆ PROPN cana-5240 48 49 ) ) PUNCT cana-5240 48 50 = = SYM cana-5240 49 1 πΆπ‘œπ‘£(𝑋 πΆπ‘œπ‘£(𝑋 PROPN cana-5240 49 2 , , PUNCT cana-5240 49 3 𝑉 𝑉 PROPN cana-5240 49 4 ) ) PUNCT cana-5240 49 5 = = SYM cana-5240 49 6 πΆπ‘œπ‘£(π‘Œ πΆπ‘œπ‘£(π‘Œ PROPN cana-5240 49 7 , , PUNCT cana-5240 49 8 𝑉 𝑉 PROPN cana-5240 49 9 ) ) PUNCT cana-5240 49 10 = = SYM cana-5240 49 11 0 0 NUM cana-5240 49 12 and and CCONJ cana-5240 49 13 communications communication NOUN cana-5240 49 14 on on ADP cana-5240 49 15 applied apply VERB cana-5240 49 16 nonlinear nonlinear ADJ cana-5240 49 17 analysis analysis NOUN cana-5240 49 18 issn issn NOUN cana-5240 49 19 : : PUNCT cana-5240 49 20 1074 1074 NUM cana-5240 49 21 - - PUNCT cana-5240 49 22 133x 133x NUM cana-5240 49 23 vol vol VERB cana-5240 49 24 32 32 NUM cana-5240 49 25 no no NOUN cana-5240 49 26 . . PUNCT cana-5240 50 1 10s 10 NOUN cana-5240 50 2 ( ( PUNCT cana-5240 50 3 2025 2025 NUM cana-5240 50 4 ) ) PUNCT cana-5240 50 5 1390 1390 NUM cana-5240 50 6 https://internationalpubls.com https://internationalpubls.com X cana-5240 50 7 πΆπ‘œπ‘£(π‘ˆ πΆπ‘œπ‘£(π‘ˆ PROPN cana-5240 50 8 , , PUNCT cana-5240 50 9 𝑉 𝑉 PROPN cana-5240 50 10 ) ) PUNCT cana-5240 50 11 = = SYM cana-5240 51 1 πΆπ‘œπ‘£(𝑋 πΆπ‘œπ‘£(𝑋 PROPN cana-5240 51 2 , , PUNCT cana-5240 51 3 π‘Œ π‘Œ PROPN cana-5240 51 4 ) ) PUNCT cana-5240 51 5 β‰  β‰  PROPN cana-5240 51 6 0 0 X cana-5240 51 7 . . PUNCT cana-5240 52 1 let let VERB cana-5240 52 2 πœ‡π‘‹π‘ π‘¦ πœ‡π‘‹π‘ π‘¦ PROPN cana-5240 52 3 , , PUNCT cana-5240 52 4 πœ‡π‘Œπ‘ π‘¦ πœ‡π‘Œπ‘ π‘¦ PROPN cana-5240 52 5 be be VERB cana-5240 52 6 the the DET cana-5240 52 7 population population NOUN cana-5240 52 8 mean mean NOUN cana-5240 52 9 of of ADP cana-5240 52 10 the the DET cana-5240 52 11 auxiliary auxiliary ADJ cana-5240 52 12 and and CCONJ cana-5240 52 13 study study VERB cana-5240 52 14 variable variable NOUN cana-5240 52 15 respectively respectively ADV cana-5240 52 16 and and CCONJ cana-5240 52 17 let let VERB cana-5240 52 18 πœŽπ‘Œπ‘ π‘¦ πœŽπ‘Œπ‘ π‘¦ PROPN cana-5240 52 19 2 2 NUM cana-5240 52 20 , , PUNCT cana-5240 52 21 πœŽπ‘‹π‘ π‘¦ πœŽπ‘‹π‘ π‘¦ PROPN cana-5240 52 22 2 2 NUM cana-5240 52 23 be be VERB cana-5240 52 24 the the DET cana-5240 52 25 population population NOUN cana-5240 52 26 variance variance NOUN cana-5240 52 27 of of ADP cana-5240 52 28 the the DET cana-5240 52 29 study study NOUN cana-5240 52 30 and and CCONJ cana-5240 52 31 auxiliary auxiliary ADJ cana-5240 52 32 variable variable NOUN cana-5240 52 33 respectively respectively ADV cana-5240 52 34 . . PUNCT cana-5240 53 1 let let VERB cana-5240 53 2 𝜌 𝜌 PART cana-5240 53 3 be be AUX cana-5240 53 4 the the DET cana-5240 53 5 correlation correlation NOUN cana-5240 53 6 coefficient coefficient NOUN cana-5240 53 7 between between ADP cana-5240 53 8 the the DET cana-5240 53 9 study study NOUN cana-5240 53 10 and and CCONJ cana-5240 53 11 auxiliary auxiliary ADJ cana-5240 53 12 variable variable NOUN cana-5240 53 13 . . PUNCT cana-5240 54 1 let let VERB cana-5240 54 2 the the DET cana-5240 54 3 sample sample NOUN cana-5240 54 4 means mean NOUN cana-5240 54 5 of of ADP cana-5240 54 6 the the DET cana-5240 54 7 true true ADJ cana-5240 54 8 values value NOUN cana-5240 54 9 of of ADP cana-5240 54 10 the the DET cana-5240 54 11 study study NOUN cana-5240 54 12 auxiliary auxiliary NOUN cana-5240 54 13 and and CCONJ cana-5240 54 14 study study NOUN cana-5240 54 15 variable variable NOUN cana-5240 54 16 be be AUX cana-5240 54 17 οΏ½ οΏ½ NOUN cana-5240 54 18 Μ… Μ… NOUN cana-5240 54 19 οΏ½ οΏ½ NOUN cana-5240 54 20 𝑠𝑦 𝑠𝑦 ADP cana-5240 54 21 , , PUNCT cana-5240 54 22 οΏ½ οΏ½ NOUN cana-5240 54 23 Μ… Μ… NOUN cana-5240 54 24 οΏ½ οΏ½ NOUN cana-5240 54 25 𝑠𝑦 𝑠𝑦 NOUN cana-5240 54 26 respectively respectively ADV cana-5240 54 27 . . PUNCT cana-5240 55 1 the the DET cana-5240 55 2 unbiased unbiased ADJ cana-5240 55 3 estimators estimator NOUN cana-5240 55 4 of of ADP cana-5240 55 5 the the DET cana-5240 55 6 population population NOUN cana-5240 55 7 of of ADP cana-5240 55 8 mean mean NOUN cana-5240 55 9 of of ADP cana-5240 55 10 the the DET cana-5240 55 11 study study NOUN cana-5240 55 12 and and CCONJ cana-5240 55 13 auxiliary auxiliary ADJ cana-5240 55 14 variables variable NOUN cana-5240 55 15 are be AUX cana-5240 55 16 the the DET cana-5240 55 17 sample sample NOUN cana-5240 55 18 means mean NOUN cana-5240 55 19 of of ADP cana-5240 55 20 the the DET cana-5240 55 21 observed observe VERB cana-5240 55 22 data datum NOUN cana-5240 55 23 . . PUNCT cana-5240 56 1 the the DET cana-5240 56 2 unbiased unbiased ADJ cana-5240 56 3 estimators estimator NOUN cana-5240 56 4 of of ADP cana-5240 56 5 the the DET cana-5240 56 6 population population NOUN cana-5240 56 7 are be AUX cana-5240 56 8 as as SCONJ cana-5240 56 9 follows follow NOUN cana-5240 56 10 , , PUNCT cana-5240 56 11 οΏ½ οΏ½ PROPN cana-5240 56 12 Μ‚ Μ‚ NOUN cana-5240 56 13 οΏ½ οΏ½ NOUN cana-5240 56 14 π‘Œπ‘ π‘¦ π‘Œπ‘ π‘¦ PROPN cana-5240 56 15 = = SYM cana-5240 56 16 οΏ½ οΏ½ PROPN cana-5240 56 17 Μ… Μ… NOUN cana-5240 56 18 οΏ½ οΏ½ NOUN cana-5240 56 19 π‘˜π‘ π‘¦ π‘˜π‘ π‘¦ NOUN cana-5240 56 20 = = SYM cana-5240 57 1 1 1 NUM cana-5240 57 2 𝑛 𝑛 PRON cana-5240 57 3 βˆ‘ βˆ‘ PUNCT cana-5240 57 4 𝑦𝑖𝑗 𝑦𝑖𝑗 VERB cana-5240 57 5 𝑛 𝑛 PRON cana-5240 57 6 𝑖=1 𝑖=1 PROPN cana-5240 57 7 , , PUNCT cana-5240 57 8 𝑖 𝑖 SYM cana-5240 57 9 = = SYM cana-5240 57 10 1,2 1,2 NUM cana-5240 57 11 , , PUNCT cana-5240 57 12 … … PUNCT cana-5240 57 13 , , PUNCT cana-5240 57 14 π‘˜. π‘˜. NOUN cana-5240 57 15 ( ( PUNCT cana-5240 57 16 1.1 1.1 NUM cana-5240 57 17 ) ) PUNCT cana-5240 57 18 οΏ½ οΏ½ NOUN cana-5240 57 19 Μ‚ Μ‚ VERB cana-5240 57 20 οΏ½ οΏ½ NOUN cana-5240 57 21 𝑋𝑠𝑦 𝑋𝑠𝑦 PROPN cana-5240 57 22 = = SYM cana-5240 57 23 οΏ½ οΏ½ PROPN cana-5240 57 24 Μ… Μ… NOUN cana-5240 57 25 οΏ½ οΏ½ NOUN cana-5240 57 26 π‘˜π‘ π‘¦ π‘˜π‘ π‘¦ NOUN cana-5240 57 27 = = SYM cana-5240 57 28 1 1 NUM cana-5240 57 29 𝑛 𝑛 PROPN cana-5240 57 30 βˆ‘ βˆ‘ ADV cana-5240 57 31 π‘₯𝑖𝑗 π‘₯𝑖𝑗 PROPN cana-5240 57 32 𝑛 𝑛 PRON cana-5240 57 33 𝑖=1 𝑖=1 PROPN cana-5240 57 34 , , PUNCT cana-5240 57 35 𝑖 𝑖 SYM cana-5240 57 36 = = SYM cana-5240 57 37 1,2 1,2 NUM cana-5240 57 38 , , PUNCT cana-5240 57 39 … … PUNCT cana-5240 57 40 , , PUNCT cana-5240 57 41 π‘˜. π‘˜. NOUN cana-5240 57 42 ( ( PUNCT cana-5240 57 43 1.2 1.2 NUM cana-5240 57 44 ) ) PUNCT cana-5240 57 45 to to PART cana-5240 57 46 obtain obtain VERB cana-5240 57 47 the the DET cana-5240 57 48 bias bias NOUN cana-5240 57 49 and and CCONJ cana-5240 57 50 variance variance NOUN cana-5240 57 51 we we PRON cana-5240 57 52 can can AUX cana-5240 57 53 write write VERB cana-5240 57 54 the the DET cana-5240 57 55 error error NOUN cana-5240 57 56 term term NOUN cana-5240 57 57 πœ€π‘‹ πœ€π‘‹ NOUN cana-5240 57 58 , , PUNCT cana-5240 57 59 πœ€π‘Œ πœ€π‘Œ NOUN cana-5240 57 60 as as SCONJ cana-5240 57 61 follows follow VERB cana-5240 57 62 , , PUNCT cana-5240 57 63 πœ€π‘‹ πœ€π‘‹ X cana-5240 57 64 = = SYM cana-5240 57 65 οΏ½ οΏ½ PROPN cana-5240 57 66 Μ… Μ… NOUN cana-5240 57 67 οΏ½ οΏ½ NOUN cana-5240 57 68 π‘ π‘¦βˆ’πœ‡π‘₯𝑠𝑦 π‘ π‘¦βˆ’πœ‡π‘₯𝑠𝑦 NOUN cana-5240 57 69 πœ‡π‘₯𝑠𝑦 πœ‡π‘₯𝑠𝑦 NOUN cana-5240 57 70 , , PUNCT cana-5240 57 71 πœ€π‘Œ πœ€π‘Œ NOUN cana-5240 57 72 = = SYM cana-5240 57 73 οΏ½ οΏ½ PROPN cana-5240 57 74 Μ… Μ… NOUN cana-5240 57 75 οΏ½ οΏ½ NOUN cana-5240 57 76 π‘ π‘¦βˆ’πœ‡π‘Œπ‘ π‘¦ π‘ π‘¦βˆ’πœ‡π‘Œπ‘ π‘¦ NOUN cana-5240 57 77 πœ‡π‘Œπ‘ π‘¦ πœ‡π‘Œπ‘ π‘¦ PROPN cana-5240 57 78 as as ADP cana-5240 57 79 οΏ½ οΏ½ NOUN cana-5240 57 80 Μ… Μ… NOUN cana-5240 57 81 οΏ½ οΏ½ NOUN cana-5240 57 82 𝑠𝑦 𝑠𝑦 ADP cana-5240 57 83 and and CCONJ cana-5240 57 84 οΏ½ οΏ½ PROPN cana-5240 57 85 Μ… Μ… NOUN cana-5240 57 86 οΏ½ οΏ½ NOUN cana-5240 57 87 𝑠𝑦 𝑠𝑦 NOUN cana-5240 57 88 are be AUX cana-5240 57 89 unbiased unbiased ADJ cana-5240 57 90 estimators estimator NOUN cana-5240 57 91 of of ADP cana-5240 57 92 οΏ½ οΏ½ NOUN cana-5240 57 93 Μ‚ Μ‚ NOUN cana-5240 57 94 οΏ½ οΏ½ NOUN cana-5240 57 95 π‘Œπ‘ π‘¦ π‘Œπ‘ π‘¦ PROPN cana-5240 57 96 and and CCONJ cana-5240 57 97 οΏ½ οΏ½ PROPN cana-5240 57 98 Μ‚ Μ‚ NOUN cana-5240 57 99 οΏ½ οΏ½ NOUN cana-5240 57 100 𝑋𝑠𝑦 𝑋𝑠𝑦 NOUN cana-5240 57 101 respectively respectively ADV cana-5240 57 102 we we PRON cana-5240 57 103 can can AUX cana-5240 57 104 write write VERB cana-5240 57 105 𝐸(πœ€π‘Œ 𝐸(πœ€π‘Œ NOUN cana-5240 57 106 ) ) PUNCT cana-5240 57 107 = = SYM cana-5240 57 108 𝐸(πœ€π‘‹ 𝐸(πœ€π‘‹ NOUN cana-5240 57 109 ) ) PUNCT cana-5240 57 110 = = SYM cana-5240 57 111 0 0 NUM cana-5240 57 112 , , PUNCT cana-5240 57 113 οΏ½ οΏ½ NOUN cana-5240 57 114 Μ… Μ… NOUN cana-5240 57 115 οΏ½ οΏ½ NOUN cana-5240 57 116 𝑖. 𝑖. ADJ cana-5240 57 117 = = SYM cana-5240 57 118 οΏ½ οΏ½ PROPN cana-5240 57 119 Μ… Μ… NOUN cana-5240 57 120 οΏ½ οΏ½ NOUN cana-5240 57 121 𝑠𝑦 𝑠𝑦 ADP cana-5240 57 122 = = SYM cana-5240 57 123 1 1 NUM cana-5240 57 124 𝑛 𝑛 PRON cana-5240 57 125 βˆ‘ βˆ‘ PUNCT cana-5240 57 126 π‘ˆπ‘› π‘ˆπ‘› PROPN cana-5240 57 127 𝑗=1 𝑗=1 PROPN cana-5240 57 128 𝑖𝑗 𝑖𝑗 NOUN cana-5240 57 129 , , PUNCT cana-5240 57 130 𝐸(πœ€π‘‹ 𝐸(πœ€π‘‹ PROPN cana-5240 57 131 2 2 NUM cana-5240 57 132 ) ) PUNCT cana-5240 58 1 = = SYM cana-5240 58 2 1 1 NUM cana-5240 58 3 πœ‡π‘‹π‘ π‘¦ πœ‡π‘‹π‘ π‘¦ PROPN cana-5240 58 4 2 2 NUM cana-5240 58 5 { { PUNCT cana-5240 58 6 πœŽπ‘‹π‘ π‘¦ πœŽπ‘‹π‘ π‘¦ PROPN cana-5240 58 7 2 2 NUM cana-5240 58 8 + + CCONJ cana-5240 58 9 πœŽπ‘‰π‘ π‘¦ πœŽπ‘‰π‘ π‘¦ PROPN cana-5240 58 10 2 2 NUM cana-5240 58 11 } } PUNCT cana-5240 58 12 , , PUNCT cana-5240 58 13 𝐸(πœ€π‘Œ 𝐸(πœ€π‘Œ NOUN cana-5240 58 14 2 2 X cana-5240 58 15 ) ) PUNCT cana-5240 58 16 = = SYM cana-5240 58 17 1 1 NUM cana-5240 58 18 πœ‡π‘Œπ‘ π‘¦ πœ‡π‘Œπ‘ π‘¦ PROPN cana-5240 58 19 2 2 NUM cana-5240 58 20 { { PUNCT cana-5240 58 21 πœŽπ‘Œπ‘ π‘¦ πœŽπ‘Œπ‘ π‘¦ PROPN cana-5240 58 22 2 2 NUM cana-5240 58 23 + + CCONJ cana-5240 58 24 πœŽπ‘ˆπ‘ π‘¦ πœŽπ‘ˆπ‘ π‘¦ PROPN cana-5240 58 25 2 2 NUM cana-5240 58 26 } } PUNCT cana-5240 58 27 , , PUNCT cana-5240 58 28 𝐸[πœ€π‘‹πœ€π‘Œ 𝐸[πœ€π‘‹πœ€π‘Œ PROPN cana-5240 58 29 ] ] X cana-5240 58 30 = = SYM cana-5240 58 31 πœŒπœŽπ‘‹π‘ π‘¦πœŽπ‘Œπ‘ π‘¦ πœŒπœŽπ‘‹π‘ π‘¦πœŽπ‘Œπ‘ π‘¦ NUM cana-5240 58 32 πœ‡π‘Œπ‘ π‘¦πœ‡π‘‹π‘ π‘¦ πœ‡π‘Œπ‘ π‘¦πœ‡π‘‹π‘ π‘¦ NOUN cana-5240 58 33 , , PUNCT cana-5240 58 34 𝑅 𝑅 PROPN cana-5240 58 35 = = PROPN cana-5240 58 36 πœ‡π‘Œπ‘ π‘¦ πœ‡π‘Œπ‘ π‘¦ PROPN cana-5240 58 37 πœ‡π‘‹π‘ π‘¦ πœ‡π‘‹π‘ π‘¦ PROPN cana-5240 58 38 , , PUNCT cana-5240 58 39 𝐸(πœ€π‘‹ 𝐸(πœ€π‘‹ PROPN cana-5240 58 40 βˆ— βˆ— NOUN cana-5240 58 41 πœ€π‘Œ πœ€π‘Œ NOUN cana-5240 58 42 βˆ— βˆ— NOUN cana-5240 58 43 ) ) PUNCT cana-5240 58 44 = = SYM cana-5240 58 45 ( ( PUNCT cana-5240 58 46 πœŒπ‘Œπ‘‹πœŽπ‘‹π‘ π‘¦πœŽπ‘Œπ‘ π‘¦+πœŒπ‘ˆπ‘‰πœŽπ‘ˆπ‘ π‘¦πœŽπ‘‰π‘ π‘¦ πœŒπ‘Œπ‘‹πœŽπ‘‹π‘ π‘¦πœŽπ‘Œπ‘ π‘¦+πœŒπ‘ˆπ‘‰πœŽπ‘ˆπ‘ π‘¦πœŽπ‘‰π‘ π‘¦ ADJ cana-5240 58 47 ) ) PUNCT cana-5240 58 48 πœ‡π‘Œπ‘ π‘¦πœ‡π‘‹π‘ π‘¦ πœ‡π‘Œπ‘ π‘¦πœ‡π‘‹π‘ π‘¦ NOUN cana-5240 58 49 , , PUNCT cana-5240 58 50 πœŽπ‘Œπ‘ π‘¦ πœŽπ‘Œπ‘ π‘¦ PROPN cana-5240 58 51 2 2 NUM cana-5240 58 52 = = SYM cana-5240 58 53 1 1 NUM cana-5240 58 54 π‘˜ π‘˜ PRON cana-5240 58 55 βˆ‘ βˆ‘ PROPN cana-5240 58 56 ( ( PUNCT cana-5240 58 57 οΏ½ οΏ½ NOUN cana-5240 58 58 Μ… Μ… NOUN cana-5240 58 59 οΏ½ οΏ½ NOUN cana-5240 58 60 π‘˜π‘ π‘¦ π‘˜π‘ π‘¦ NOUN cana-5240 58 61 π‘˜ π‘˜ X cana-5240 58 62 𝑖=1 𝑖=1 PROPN cana-5240 59 1 βˆ’πœ‡π‘Œπ‘ π‘¦)2 βˆ’πœ‡π‘Œπ‘ π‘¦)2 PRON cana-5240 59 2 , , PUNCT cana-5240 59 3 πœŽπ‘‹π‘ π‘¦ πœŽπ‘‹π‘ π‘¦ PROPN cana-5240 59 4 2 2 NUM cana-5240 59 5 = = SYM cana-5240 59 6 1 1 NUM cana-5240 59 7 π‘˜ π‘˜ PRON cana-5240 59 8 βˆ‘ βˆ‘ PROPN cana-5240 59 9 ( ( PUNCT cana-5240 59 10 οΏ½ οΏ½ NOUN cana-5240 59 11 Μ… Μ… NOUN cana-5240 59 12 οΏ½ οΏ½ NOUN cana-5240 59 13 π‘˜π‘ π‘¦ π‘˜π‘ π‘¦ NOUN cana-5240 59 14 π‘˜ π‘˜ X cana-5240 59 15 𝑖=1 𝑖=1 PROPN cana-5240 59 16 βˆ’πœ‡π‘‹π‘ π‘¦)2 βˆ’πœ‡π‘‹π‘ π‘¦)2 NOUN cana-5240 59 17 , , PUNCT cana-5240 59 18 πœŽπ‘ˆπ‘ π‘¦ πœŽπ‘ˆπ‘ π‘¦ PROPN cana-5240 59 19 2 2 NUM cana-5240 59 20 = = SYM cana-5240 59 21 1 1 NUM cana-5240 59 22 π‘˜ π‘˜ PRON cana-5240 59 23 βˆ‘ βˆ‘ PROPN cana-5240 59 24 ( ( PUNCT cana-5240 59 25 οΏ½ οΏ½ NOUN cana-5240 59 26 Μ… Μ… NOUN cana-5240 59 27 οΏ½ οΏ½ NOUN cana-5240 59 28 𝑖. 𝑖. NOUN cana-5240 59 29 ) ) PUNCT cana-5240 59 30 2π‘˜ 2π‘˜ NUM cana-5240 59 31 𝑖=1 𝑖=1 PUNCT cana-5240 59 32 , , PUNCT cana-5240 59 33 πœŽπ‘‰π‘ π‘¦ πœŽπ‘‰π‘ π‘¦ PROPN cana-5240 59 34 2 2 NUM cana-5240 59 35 = = SYM cana-5240 59 36 1 1 NUM cana-5240 59 37 π‘˜ π‘˜ PRON cana-5240 59 38 βˆ‘ βˆ‘ PROPN cana-5240 59 39 ( ( PUNCT cana-5240 59 40 οΏ½ οΏ½ NOUN cana-5240 59 41 Μ… Μ… NOUN cana-5240 59 42 οΏ½ οΏ½ NOUN cana-5240 59 43 𝑖. 𝑖. NOUN cana-5240 59 44 ) ) PUNCT cana-5240 59 45 2π‘˜ 2π‘˜ NUM cana-5240 59 46 𝑖=1 𝑖=1 PUNCT cana-5240 59 47 , , PUNCT cana-5240 59 48 2 2 X cana-5240 59 49 . . X cana-5240 59 50 pre pre ADJ cana-5240 59 51 - - ADJ cana-5240 59 52 existing existing ADJ cana-5240 59 53 estimators estimator NOUN cana-5240 59 54 in in ADP cana-5240 59 55 the the DET cana-5240 59 56 presence presence NOUN cana-5240 59 57 of of ADP cana-5240 59 58 measurement measurement NOUN cana-5240 59 59 error error NOUN cana-5240 59 60 the the DET cana-5240 59 61 mean mean ADJ cana-5240 59 62 estimator estimator NOUN cana-5240 59 63 in in ADP cana-5240 59 64 the the DET cana-5240 59 65 presence presence NOUN cana-5240 59 66 of of ADP cana-5240 59 67 measurement measurement NOUN cana-5240 59 68 error error NOUN cana-5240 59 69 is be AUX cana-5240 59 70 οΏ½ οΏ½ NOUN cana-5240 59 71 Μ… Μ… NOUN cana-5240 59 72 οΏ½ οΏ½ NOUN cana-5240 59 73 𝑠𝑦. 𝑠𝑦. VERB cana-5240 59 74 the the DET cana-5240 59 75 variance variance NOUN cana-5240 59 76 in in ADP cana-5240 59 77 the the DET cana-5240 59 78 presence presence NOUN cana-5240 59 79 of of ADP cana-5240 59 80 measurement measurement NOUN cana-5240 59 81 error error NOUN cana-5240 59 82 is be AUX cana-5240 59 83 given give VERB cana-5240 59 84 as as ADP cana-5240 59 85 , , PUNCT cana-5240 59 86 𝑉( 𝑉( NOUN cana-5240 59 87 οΏ½ οΏ½ NOUN cana-5240 59 88 Μ… Μ… NOUN cana-5240 59 89 οΏ½ οΏ½ NOUN cana-5240 59 90 π‘ π‘¦π‘š π‘ π‘¦π‘š NOUN cana-5240 59 91 ) ) PUNCT cana-5240 60 1 = = SYM cana-5240 60 2 πœŽπ‘Œπ‘ π‘¦π‘š πœŽπ‘Œπ‘ π‘¦π‘š NOUN cana-5240 60 3 2 2 NUM cana-5240 60 4 = = SYM cana-5240 60 5 1 1 NUM cana-5240 60 6 π‘˜ π‘˜ PRON cana-5240 60 7 βˆ‘ βˆ‘ PROPN cana-5240 60 8 ( ( PUNCT cana-5240 60 9 οΏ½ οΏ½ NOUN cana-5240 60 10 Μ… Μ… NOUN cana-5240 60 11 οΏ½ οΏ½ NOUN cana-5240 60 12 𝑠𝑦 𝑠𝑦 ADP cana-5240 60 13 βˆ’ βˆ’ PROPN cana-5240 60 14 πœ‡π‘Œπ‘ π‘¦ πœ‡π‘Œπ‘ π‘¦ PROPN cana-5240 60 15 ) ) PUNCT cana-5240 60 16 2π‘˜ 2π‘˜ NOUN cana-5240 60 17 𝑖=1 𝑖=1 PUNCT cana-5240 61 1 = = SYM cana-5240 61 2 1 1 NUM cana-5240 61 3 π‘˜ π‘˜ X cana-5240 61 4 βˆ‘ βˆ‘ PROPN cana-5240 61 5 ( ( PUNCT cana-5240 61 6 οΏ½ οΏ½ NOUN cana-5240 61 7 Μ… Μ… NOUN cana-5240 61 8 οΏ½ οΏ½ NOUN cana-5240 61 9 𝑠𝑦 𝑠𝑦 ADP cana-5240 61 10 + + NOUN cana-5240 61 11 οΏ½ οΏ½ PROPN cana-5240 61 12 Μ… Μ… NOUN cana-5240 61 13 οΏ½ οΏ½ NOUN cana-5240 61 14 𝑠𝑦 𝑠𝑦 ADP cana-5240 61 15 βˆ’ βˆ’ PROPN cana-5240 61 16 πœ‡π‘Œπ‘ π‘¦ πœ‡π‘Œπ‘ π‘¦ PROPN cana-5240 61 17 ) ) PUNCT cana-5240 61 18 2π‘˜ 2π‘˜ NUM cana-5240 61 19 𝑖=1 𝑖=1 PUNCT cana-5240 61 20 ( ( PUNCT cana-5240 61 21 2.1 2.1 NUM cana-5240 61 22 ) ) PUNCT cana-5240 61 23 𝑉( 𝑉( NOUN cana-5240 61 24 οΏ½ οΏ½ NOUN cana-5240 61 25 Μ… Μ… NOUN cana-5240 61 26 οΏ½ οΏ½ NOUN cana-5240 61 27 π‘ π‘¦π‘š π‘ π‘¦π‘š NOUN cana-5240 61 28 ) ) PUNCT cana-5240 61 29 = = SYM cana-5240 62 1 πœŽπ‘Œπ‘ π‘¦ πœŽπ‘Œπ‘ π‘¦ PROPN cana-5240 62 2 2 2 NUM cana-5240 62 3 + + CCONJ cana-5240 62 4 πœŽπ‘ˆπ‘ π‘¦ πœŽπ‘ˆπ‘ π‘¦ PROPN cana-5240 62 5 2 2 NUM cana-5240 62 6 ( ( PUNCT cana-5240 62 7 2.2 2.2 NUM cana-5240 62 8 ) ) PUNCT cana-5240 62 9 ratio ratio NOUN cana-5240 62 10 estimator estimator NOUN cana-5240 62 11 in in ADP cana-5240 62 12 the the DET cana-5240 62 13 presence presence NOUN cana-5240 62 14 of of ADP cana-5240 62 15 measurement measurement NOUN cana-5240 62 16 error error NOUN cana-5240 62 17 is be AUX cana-5240 62 18 defined define VERB cana-5240 62 19 as as ADP cana-5240 62 20 , , PUNCT cana-5240 62 21 οΏ½ οΏ½ NOUN cana-5240 62 22 Μ… Μ… NOUN cana-5240 62 23 οΏ½ οΏ½ NOUN cana-5240 62 24 π‘…π‘ π‘¦π‘š π‘…π‘ π‘¦π‘š PROPN cana-5240 62 25 = = SYM cana-5240 62 26 οΏ½ οΏ½ PROPN cana-5240 62 27 Μ… Μ… NOUN cana-5240 62 28 οΏ½ οΏ½ PROPN cana-5240 62 29 𝑠𝑦 𝑠𝑦 ADP cana-5240 62 30 πœ‡π‘‹π‘ π‘¦ πœ‡π‘‹π‘ π‘¦ PROPN cana-5240 62 31 οΏ½ οΏ½ PROPN cana-5240 62 32 Μ… Μ… NOUN cana-5240 62 33 οΏ½ οΏ½ NOUN cana-5240 62 34 𝑠𝑦 𝑠𝑦 PROPN cana-5240 62 35 ( ( PUNCT cana-5240 62 36 2.3 2.3 NUM cana-5240 62 37 ) ) PUNCT cana-5240 62 38 the the DET cana-5240 62 39 mean mean ADJ cana-5240 62 40 square square ADJ cana-5240 62 41 error error NOUN cana-5240 62 42 of of ADP cana-5240 62 43 ratio ratio NOUN cana-5240 62 44 estimator estimator NOUN cana-5240 62 45 in in ADP cana-5240 62 46 the the DET cana-5240 62 47 presence presence NOUN cana-5240 62 48 of of ADP cana-5240 62 49 measurement measurement NOUN cana-5240 62 50 error error NOUN cana-5240 62 51 is be AUX cana-5240 62 52 obtained obtain VERB cana-5240 62 53 as as ADP cana-5240 62 54 , , PUNCT cana-5240 62 55 π‘π‘–π‘Žπ‘  π‘π‘–π‘Žπ‘  PROPN cana-5240 62 56 ( ( PUNCT cana-5240 62 57 οΏ½ οΏ½ NOUN cana-5240 62 58 Μ… Μ… NOUN cana-5240 62 59 οΏ½ οΏ½ NOUN cana-5240 62 60 π‘…π‘ π‘¦π‘š π‘…π‘ π‘¦π‘š PROPN cana-5240 62 61 ) ) PUNCT cana-5240 62 62 = = SYM cana-5240 62 63 1 1 NUM cana-5240 62 64 πœ‡π‘Œπ‘ π‘¦ πœ‡π‘Œπ‘ π‘¦ PROPN cana-5240 62 65 { { PUNCT cana-5240 62 66 𝑅2(πœŽπ‘‹π‘ π‘¦ 𝑅2(πœŽπ‘‹π‘ π‘¦ NOUN cana-5240 62 67 2 2 NUM cana-5240 62 68 + + CCONJ cana-5240 62 69 πœŽπ‘‰π‘ π‘¦ πœŽπ‘‰π‘ π‘¦ PROPN cana-5240 62 70 2 2 NUM cana-5240 62 71 ) ) PUNCT cana-5240 62 72 βˆ’ βˆ’ NOUN cana-5240 62 73 πœŒπ‘…πœŽπ‘‹π‘ π‘¦πœŽπ‘Œπ‘ π‘¦ πœŒπ‘…πœŽπ‘‹π‘ π‘¦πœŽπ‘Œπ‘ π‘¦ NOUN cana-5240 62 74 } } PUNCT cana-5240 62 75 ( ( PUNCT cana-5240 62 76 2.4 2.4 NUM cana-5240 62 77 ) ) PUNCT cana-5240 62 78 communications communication NOUN cana-5240 62 79 on on ADP cana-5240 62 80 applied apply VERB cana-5240 62 81 nonlinear nonlinear ADJ cana-5240 62 82 analysis analysis NOUN cana-5240 62 83 issn issn NOUN cana-5240 62 84 : : PUNCT cana-5240 62 85 1074 1074 NUM cana-5240 62 86 - - PUNCT cana-5240 62 87 133x 133x NUM cana-5240 62 88 vol vol VERB cana-5240 62 89 32 32 NUM cana-5240 62 90 no no NOUN cana-5240 62 91 . . PUNCT cana-5240 63 1 10s 10 NOUN cana-5240 63 2 ( ( PUNCT cana-5240 63 3 2025 2025 NUM cana-5240 63 4 ) ) PUNCT cana-5240 63 5 1391 1391 NUM cana-5240 63 6 https://internationalpubls.com https://internationalpubls.com X cana-5240 63 7 ( ( PUNCT cana-5240 63 8 οΏ½ οΏ½ NOUN cana-5240 63 9 Μ… Μ… NOUN cana-5240 63 10 οΏ½ οΏ½ NOUN cana-5240 63 11 π‘…π‘ π‘¦π‘š π‘…π‘ π‘¦π‘š PROPN cana-5240 63 12 βˆ’ βˆ’ PROPN cana-5240 63 13 πœ‡π‘Œπ‘ π‘¦)2 πœ‡π‘Œπ‘ π‘¦)2 NOUN cana-5240 63 14 = = SYM cana-5240 63 15 πœ‡π‘Œπ‘ π‘¦ πœ‡π‘Œπ‘ π‘¦ PROPN cana-5240 63 16 2 2 NUM cana-5240 63 17 ( ( PUNCT cana-5240 63 18 πœ€π‘Œ πœ€π‘Œ NOUN cana-5240 63 19 2 2 NUM cana-5240 63 20 + + NUM cana-5240 63 21 πœ€π‘‹ πœ€π‘‹ ADP cana-5240 63 22 2 2 NUM cana-5240 63 23 βˆ’ βˆ’ NOUN cana-5240 63 24 2πœ€π‘Œπœ€π‘‹ 2πœ€π‘Œπœ€π‘‹ NUM cana-5240 63 25 ) ) PUNCT cana-5240 63 26 ( ( PUNCT cana-5240 63 27 2.5 2.5 NUM cana-5240 63 28 ) ) PUNCT cana-5240 63 29 𝑀𝑆𝐸( 𝑀𝑆𝐸( PROPN cana-5240 63 30 οΏ½ οΏ½ NOUN cana-5240 63 31 Μ… Μ… NOUN cana-5240 63 32 οΏ½ οΏ½ NOUN cana-5240 63 33 π‘…π‘ π‘¦π‘š π‘…π‘ π‘¦π‘š NOUN cana-5240 63 34 ) ) PUNCT cana-5240 63 35 = = PUNCT cana-5240 64 1 [ [ PUNCT cana-5240 64 2 πœŽπ‘Œπ‘ π‘¦ πœŽπ‘Œπ‘ π‘¦ PROPN cana-5240 64 3 2 2 NUM cana-5240 64 4 + + CCONJ cana-5240 64 5 πœŽπ‘ˆπ‘ π‘¦ πœŽπ‘ˆπ‘ π‘¦ PROPN cana-5240 64 6 2 2 NUM cana-5240 64 7 + + CCONJ cana-5240 64 8 𝑅2(πœŽπ‘‹π‘ π‘¦ 𝑅2(πœŽπ‘‹π‘ π‘¦ PRON cana-5240 64 9 2 2 NUM cana-5240 64 10 + + CCONJ cana-5240 64 11 πœŽπ‘‰π‘ π‘¦ πœŽπ‘‰π‘ π‘¦ PROPN cana-5240 64 12 2 2 NUM cana-5240 64 13 ) ) PUNCT cana-5240 64 14 βˆ’ βˆ’ NOUN cana-5240 64 15 2πœŒπ‘…πœŽπ‘Œπ‘ π‘¦πœŽπ‘‹π‘ π‘¦ 2πœŒπ‘…πœŽπ‘Œπ‘ π‘¦πœŽπ‘‹π‘ π‘¦ NOUN cana-5240 64 16 ] ] PUNCT cana-5240 64 17 . . PUNCT cana-5240 65 1 ( ( PUNCT cana-5240 65 2 2.6 2.6 NUM cana-5240 65 3 ) ) PUNCT cana-5240 65 4 the the DET cana-5240 65 5 bias bias NOUN cana-5240 65 6 in in ADP cana-5240 65 7 the the DET cana-5240 65 8 presence presence NOUN cana-5240 65 9 of of ADP cana-5240 65 10 correlated correlate VERB cana-5240 65 11 measurement measurement NOUN cana-5240 65 12 error error NOUN cana-5240 65 13 is be AUX cana-5240 65 14 derived derive VERB cana-5240 65 15 as as ADP cana-5240 65 16 , , PUNCT cana-5240 65 17 π‘π‘–π‘Žπ‘  π‘π‘–π‘Žπ‘  PROPN cana-5240 65 18 ( ( PUNCT cana-5240 65 19 π‘¦βˆ—Μ…Μ… π‘¦βˆ—Μ…Μ… NOUN cana-5240 65 20 Μ… Μ… NOUN cana-5240 65 21 π‘…π‘ π‘¦π‘š π‘…π‘ π‘¦π‘š PROPN cana-5240 65 22 ) ) PUNCT cana-5240 65 23 = = SYM cana-5240 65 24 1 1 NUM cana-5240 65 25 πœ‡π‘Œπ‘ π‘¦ πœ‡π‘Œπ‘ π‘¦ PROPN cana-5240 65 26 { { PUNCT cana-5240 65 27 𝑅2(πœŽπ‘‹π‘ π‘¦ 𝑅2(πœŽπ‘‹π‘ π‘¦ NOUN cana-5240 65 28 2 2 NUM cana-5240 65 29 + + CCONJ cana-5240 65 30 πœŽπ‘‰π‘ π‘¦ πœŽπ‘‰π‘ π‘¦ PROPN cana-5240 65 31 2 2 NUM cana-5240 65 32 ) ) PUNCT cana-5240 65 33 βˆ’ βˆ’ NOUN cana-5240 65 34 𝑅(πœŒπœŽπ‘‹πœŽπ‘Œ 𝑅(πœŒπœŽπ‘‹πœŽπ‘Œ NOUN cana-5240 65 35 + + CCONJ cana-5240 65 36 πœŒπ‘ˆπ‘‰πœŽπ‘ˆπœŽπ‘‰ πœŒπ‘ˆπ‘‰πœŽπ‘ˆπœŽπ‘‰ X cana-5240 65 37 } } PUNCT cana-5240 65 38 ( ( PUNCT cana-5240 65 39 2.7 2.7 NUM cana-5240 65 40 ) ) PUNCT cana-5240 65 41 the the DET cana-5240 65 42 mean mean ADJ cana-5240 65 43 square square ADJ cana-5240 65 44 error error NOUN cana-5240 65 45 in in ADP cana-5240 65 46 the the DET cana-5240 65 47 presence presence NOUN cana-5240 65 48 of of ADP cana-5240 65 49 correlated correlate VERB cana-5240 65 50 measurement measurement NOUN cana-5240 65 51 error error NOUN cana-5240 65 52 is be AUX cana-5240 65 53 derived derive VERB cana-5240 65 54 as as ADP cana-5240 65 55 𝑀𝑆𝐸 𝑀𝑆𝐸 PROPN cana-5240 65 56 ( ( PUNCT cana-5240 65 57 π‘¦βˆ—Μ…Μ… π‘¦βˆ—Μ…Μ… NOUN cana-5240 65 58 Μ… Μ… NOUN cana-5240 65 59 π‘…π‘ π‘¦π‘š π‘…π‘ π‘¦π‘š PROPN cana-5240 65 60 ) ) PUNCT cana-5240 65 61 = = PUNCT cana-5240 66 1 [ [ PUNCT cana-5240 66 2 πœŽπ‘Œπ‘ π‘¦ πœŽπ‘Œπ‘ π‘¦ PROPN cana-5240 66 3 2 2 NUM cana-5240 66 4 + + CCONJ cana-5240 66 5 πœŽπ‘ˆπ‘ π‘¦ πœŽπ‘ˆπ‘ π‘¦ PROPN cana-5240 66 6 2 2 NUM cana-5240 66 7 + + CCONJ cana-5240 66 8 𝑅2(πœŽπ‘‹π‘ π‘¦ 𝑅2(πœŽπ‘‹π‘ π‘¦ PRON cana-5240 66 9 2 2 NUM cana-5240 66 10 + + CCONJ cana-5240 66 11 πœŽπ‘‰π‘ π‘¦ πœŽπ‘‰π‘ π‘¦ PROPN cana-5240 66 12 2 2 NUM cana-5240 66 13 ) ) PUNCT cana-5240 66 14 βˆ’ βˆ’ NOUN cana-5240 66 15 2𝑅(πœŒπœŽπ‘‹π‘ π‘¦πœŽπ‘Œπ‘ π‘¦ 2𝑅(πœŒπœŽπ‘‹π‘ π‘¦πœŽπ‘Œπ‘ π‘¦ NOUN cana-5240 66 16 + + CCONJ cana-5240 66 17 πœŒπ‘ˆπ‘‰πœŽπ‘ˆπ‘ π‘¦πœŽπ‘‰π‘ π‘¦ πœŒπ‘ˆπ‘‰πœŽπ‘ˆπ‘ π‘¦πœŽπ‘‰π‘ π‘¦ NOUN cana-5240 66 18 ) ) PUNCT cana-5240 66 19 ] ] PUNCT cana-5240 66 20 ( ( PUNCT cana-5240 66 21 2.8 2.8 NUM cana-5240 66 22 ) ) PUNCT cana-5240 66 23 the the DET cana-5240 66 24 product product NOUN cana-5240 66 25 estimator estimator NOUN cana-5240 66 26 in in ADP cana-5240 66 27 the the DET cana-5240 66 28 presence presence NOUN cana-5240 66 29 of of ADP cana-5240 66 30 measurement measurement NOUN cana-5240 66 31 error error NOUN cana-5240 66 32 is be AUX cana-5240 66 33 οΏ½ οΏ½ NOUN cana-5240 66 34 Μ… Μ… NOUN cana-5240 66 35 οΏ½ οΏ½ NOUN cana-5240 66 36 π‘ƒπ‘ π‘¦π‘š π‘ƒπ‘ π‘¦π‘š NOUN cana-5240 66 37 = = SYM cana-5240 66 38 οΏ½ οΏ½ PROPN cana-5240 66 39 Μ… Μ… NOUN cana-5240 66 40 οΏ½ οΏ½ PROPN cana-5240 66 41 𝑠𝑦 𝑠𝑦 ADP cana-5240 66 42 οΏ½ οΏ½ PROPN cana-5240 66 43 Μ… Μ… NOUN cana-5240 66 44 οΏ½ οΏ½ PROPN cana-5240 66 45 𝑠𝑦 𝑠𝑦 ADP cana-5240 66 46 πœ‡π‘‹π‘ π‘¦ πœ‡π‘‹π‘ π‘¦ PROPN cana-5240 66 47 ( ( PUNCT cana-5240 66 48 2.9 2.9 NUM cana-5240 66 49 ) ) PUNCT cana-5240 66 50 the the DET cana-5240 66 51 bias bias NOUN cana-5240 66 52 of of ADP cana-5240 66 53 the the DET cana-5240 66 54 estimator estimator NOUN cana-5240 66 55 is be AUX cana-5240 66 56 obtained obtain VERB cana-5240 66 57 as as ADP cana-5240 66 58 π‘π‘–π‘Žπ‘ ( π‘π‘–π‘Žπ‘ ( PROPN cana-5240 66 59 οΏ½ οΏ½ PROPN cana-5240 66 60 Μ… Μ… NOUN cana-5240 66 61 οΏ½ οΏ½ NOUN cana-5240 66 62 π‘ƒπ‘ π‘¦π‘š π‘ƒπ‘ π‘¦π‘š NOUN cana-5240 66 63 ) ) PUNCT cana-5240 66 64 = = SYM cana-5240 66 65 ( ( PUNCT cana-5240 66 66 πœŒπœŽπ‘Œπ‘ π‘¦πœŽπ‘‹π‘ π‘¦ πœŒπœŽπ‘Œπ‘ π‘¦πœŽπ‘‹π‘ π‘¦ NOUN cana-5240 66 67 πœ‡π‘‹π‘ π‘¦ πœ‡π‘‹π‘ π‘¦ PROPN cana-5240 66 68 ) ) PUNCT cana-5240 66 69 ( ( PUNCT cana-5240 66 70 2.10 2.10 NUM cana-5240 66 71 ) ) PUNCT cana-5240 66 72 the the DET cana-5240 66 73 mean mean ADJ cana-5240 66 74 square square ADJ cana-5240 66 75 error error NOUN cana-5240 66 76 in in ADP cana-5240 66 77 the the DET cana-5240 66 78 presence presence NOUN cana-5240 66 79 of of ADP cana-5240 66 80 uncorrelated uncorrelated ADJ cana-5240 66 81 measurement measurement NOUN cana-5240 66 82 error error NOUN cana-5240 66 83 is be AUX cana-5240 66 84 derived derive VERB cana-5240 66 85 as as ADP cana-5240 66 86 𝑀𝑆𝐸( 𝑀𝑆𝐸( PROPN cana-5240 66 87 οΏ½ οΏ½ NOUN cana-5240 66 88 Μ… Μ… NOUN cana-5240 66 89 οΏ½ οΏ½ NOUN cana-5240 66 90 π‘ƒπ‘ π‘¦π‘š π‘ƒπ‘ π‘¦π‘š NOUN cana-5240 66 91 ) ) PUNCT cana-5240 66 92 = = PUNCT cana-5240 67 1 ( ( PUNCT cana-5240 67 2 πœŽπ‘Œπ‘ π‘¦ πœŽπ‘Œπ‘ π‘¦ PROPN cana-5240 67 3 2 2 NUM cana-5240 67 4 + + CCONJ cana-5240 67 5 πœŽπ‘ˆπ‘ π‘¦ πœŽπ‘ˆπ‘ π‘¦ PROPN cana-5240 67 6 2 2 NUM cana-5240 67 7 + + CCONJ cana-5240 67 8 𝑅2(πœŽπ‘‹π‘ π‘¦ 𝑅2(πœŽπ‘‹π‘ π‘¦ PRON cana-5240 67 9 2 2 NUM cana-5240 67 10 + + CCONJ cana-5240 67 11 πœŽπ‘‰π‘ π‘¦ πœŽπ‘‰π‘ π‘¦ PROPN cana-5240 67 12 2 2 NUM cana-5240 67 13 ) ) PUNCT cana-5240 67 14 + + NUM cana-5240 67 15 2πœŒπ‘…πœŽπ‘Œπ‘ π‘¦πœŽπ‘‹π‘ π‘¦ 2πœŒπ‘…πœŽπ‘Œπ‘ π‘¦πœŽπ‘‹π‘ π‘¦ NOUN cana-5240 67 16 ) ) PUNCT cana-5240 67 17 . . PUNCT cana-5240 68 1 ( ( PUNCT cana-5240 68 2 2.11 2.11 NUM cana-5240 68 3 ) ) PUNCT cana-5240 68 4 the the DET cana-5240 68 5 mean mean ADJ cana-5240 68 6 square square ADJ cana-5240 68 7 error error NOUN cana-5240 68 8 in in ADP cana-5240 68 9 the the DET cana-5240 68 10 presence presence NOUN cana-5240 68 11 of of ADP cana-5240 68 12 correlated correlate VERB cana-5240 68 13 measurement measurement NOUN cana-5240 68 14 error error NOUN cana-5240 68 15 is be AUX cana-5240 68 16 derived derive VERB cana-5240 68 17 as as ADP cana-5240 68 18 𝑀𝑆𝐸 𝑀𝑆𝐸 PROPN cana-5240 68 19 ( ( PUNCT cana-5240 68 20 π‘¦βˆ—Μ…Μ… π‘¦βˆ—Μ…Μ… NOUN cana-5240 68 21 Μ… Μ… NOUN cana-5240 68 22 π‘ƒπ‘ π‘¦π‘š π‘ƒπ‘ π‘¦π‘š PROPN cana-5240 68 23 ) ) PUNCT cana-5240 69 1 = = SYM cana-5240 70 1 ( ( PUNCT cana-5240 70 2 πœŽπ‘Œπ‘ π‘¦ πœŽπ‘Œπ‘ π‘¦ PROPN cana-5240 70 3 2 2 NUM cana-5240 70 4 + + CCONJ cana-5240 70 5 πœŽπ‘ˆπ‘ π‘¦ πœŽπ‘ˆπ‘ π‘¦ PROPN cana-5240 70 6 2 2 NUM cana-5240 70 7 + + CCONJ cana-5240 70 8 𝑅2(πœŽπ‘‹π‘ π‘¦ 𝑅2(πœŽπ‘‹π‘ π‘¦ PRON cana-5240 70 9 2 2 NUM cana-5240 70 10 + + CCONJ cana-5240 70 11 πœŽπ‘‰π‘ π‘¦ πœŽπ‘‰π‘ π‘¦ PROPN cana-5240 70 12 2 2 NUM cana-5240 70 13 ) ) PUNCT cana-5240 70 14 + + CCONJ cana-5240 70 15 2𝑅(πœŒπœŽπ‘‹π‘ π‘¦πœŽπ‘Œπ‘ π‘¦ 2𝑅(πœŒπœŽπ‘‹π‘ π‘¦πœŽπ‘Œπ‘ π‘¦ NUM cana-5240 70 16 + + CCONJ cana-5240 70 17 πœŒπ‘ˆπ‘‰πœŽπ‘ˆπ‘ π‘¦πœŽπ‘‰π‘ π‘¦ πœŒπ‘ˆπ‘‰πœŽπ‘ˆπ‘ π‘¦πœŽπ‘‰π‘ π‘¦ NOUN cana-5240 70 18 ) ) PUNCT cana-5240 70 19 . . PUNCT cana-5240 71 1 ( ( PUNCT cana-5240 71 2 2.12 2.12 NUM cana-5240 71 3 ) ) PUNCT cana-5240 71 4 the the DET cana-5240 71 5 difference difference NOUN cana-5240 71 6 estimator estimator NOUN cana-5240 71 7 in in ADP cana-5240 71 8 the the DET cana-5240 71 9 presence presence NOUN cana-5240 71 10 of of ADP cana-5240 71 11 measurement measurement NOUN cana-5240 71 12 error error NOUN cana-5240 71 13 is be AUX cana-5240 71 14 οΏ½ οΏ½ NOUN cana-5240 71 15 Μ… Μ… NOUN cana-5240 71 16 οΏ½ οΏ½ NOUN cana-5240 71 17 π‘‘π‘ π‘¦π‘š π‘‘π‘ π‘¦π‘š NOUN cana-5240 71 18 = = SYM cana-5240 71 19 οΏ½ οΏ½ PROPN cana-5240 71 20 Μ… Μ… NOUN cana-5240 71 21 οΏ½ οΏ½ NOUN cana-5240 71 22 𝑠𝑦 𝑠𝑦 ADP cana-5240 72 1 + + CCONJ cana-5240 73 1 𝑏(πœ‡π‘‹π‘ π‘¦ 𝑏(πœ‡π‘‹π‘ π‘¦ ADP cana-5240 73 2 βˆ’ βˆ’ PROPN cana-5240 73 3 οΏ½ οΏ½ PROPN cana-5240 73 4 Μ… Μ… NOUN cana-5240 73 5 οΏ½ οΏ½ NOUN cana-5240 73 6 𝑠𝑦 𝑠𝑦 NOUN cana-5240 73 7 ) ) PUNCT cana-5240 73 8 ( ( PUNCT cana-5240 73 9 2.13 2.13 NUM cana-5240 73 10 ) ) PUNCT cana-5240 73 11 𝑉( 𝑉( NOUN cana-5240 73 12 οΏ½ οΏ½ NOUN cana-5240 73 13 Μ… Μ… NOUN cana-5240 73 14 οΏ½ οΏ½ NOUN cana-5240 73 15 π‘‘π‘ π‘¦π‘š π‘‘π‘ π‘¦π‘š NOUN cana-5240 73 16 ) ) PUNCT cana-5240 73 17 = = PUNCT cana-5240 74 1 [ [ X cana-5240 74 2 ( ( PUNCT cana-5240 74 3 πœŽπ‘Œπ‘ π‘¦ πœŽπ‘Œπ‘ π‘¦ PROPN cana-5240 74 4 2 2 NUM cana-5240 74 5 + + CCONJ cana-5240 74 6 πœŽπ‘ˆπ‘ π‘¦ πœŽπ‘ˆπ‘ π‘¦ PROPN cana-5240 74 7 2 2 NUM cana-5240 74 8 ) ) PUNCT cana-5240 74 9 + + CCONJ cana-5240 74 10 𝑏2(πœŽπ‘‹π‘ π‘¦ 𝑏2(πœŽπ‘‹π‘ π‘¦ NOUN cana-5240 74 11 2 2 NUM cana-5240 74 12 + + CCONJ cana-5240 74 13 πœŽπ‘‰π‘ π‘¦ πœŽπ‘‰π‘ π‘¦ PROPN cana-5240 74 14 2 2 NUM cana-5240 74 15 ) ) PUNCT cana-5240 74 16 βˆ’ βˆ’ PROPN cana-5240 74 17 2π‘πœŒπœŽπ‘Œπ‘ π‘¦πœŽπ‘‹π‘ π‘¦ 2π‘πœŒπœŽπ‘Œπ‘ π‘¦πœŽπ‘‹π‘ π‘¦ NUM cana-5240 74 18 ] ] PUNCT cana-5240 74 19 . . PUNCT cana-5240 75 1 ( ( PUNCT cana-5240 75 2 2.14 2.14 NUM cana-5240 75 3 ) ) PUNCT cana-5240 75 4 after after ADP cana-5240 75 5 differentiating differentiate VERB cana-5240 75 6 the the DET cana-5240 75 7 above above ADJ cana-5240 75 8 equation equation NOUN cana-5240 75 9 we we PRON cana-5240 75 10 get get VERB cana-5240 75 11 , , PUNCT cana-5240 75 12 𝑑(𝑉( 𝑑(𝑉( NOUN cana-5240 75 13 οΏ½ οΏ½ NOUN cana-5240 75 14 Μ… Μ… NOUN cana-5240 75 15 οΏ½ οΏ½ NOUN cana-5240 75 16 π‘‘π‘ π‘¦π‘š π‘‘π‘ π‘¦π‘š NOUN cana-5240 75 17 ) ) PUNCT cana-5240 75 18 ) ) PUNCT cana-5240 75 19 𝑑𝑏 𝑑𝑏 ADP cana-5240 75 20 = = PUNCT cana-5240 76 1 [ [ X cana-5240 76 2 2𝑏(πœŽπ‘‹π‘ π‘¦ 2𝑏(πœŽπ‘‹π‘ π‘¦ NUM cana-5240 76 3 2 2 NUM cana-5240 76 4 + + CCONJ cana-5240 76 5 πœŽπ‘‰π‘ π‘¦ πœŽπ‘‰π‘ π‘¦ PROPN cana-5240 76 6 2 2 NUM cana-5240 76 7 ) ) PUNCT cana-5240 76 8 βˆ’ βˆ’ PROPN cana-5240 77 1 2πœŒπœŽπ‘Œπ‘ π‘¦πœŽπ‘‹π‘ π‘¦ 2πœŒπœŽπ‘Œπ‘ π‘¦πœŽπ‘‹π‘ π‘¦ NUM cana-5240 77 2 ] ] X cana-5240 77 3 ( ( PUNCT cana-5240 77 4 2.15 2.15 NUM cana-5240 77 5 ) ) PUNCT cana-5240 77 6 equating equate VERB cana-5240 77 7 the the DET cana-5240 77 8 above above ADJ cana-5240 77 9 equation equation NOUN cana-5240 77 10 to to ADP cana-5240 77 11 zero zero NUM cana-5240 77 12 gives give VERB cana-5240 77 13 , , PUNCT cana-5240 77 14 𝑏 𝑏 NOUN cana-5240 77 15 = = PUNCT cana-5240 77 16 πœŒπœŽπ‘Œπ‘ π‘¦πœŽπ‘‹π‘ π‘¦ πœŒπœŽπ‘Œπ‘ π‘¦πœŽπ‘‹π‘ π‘¦ NOUN cana-5240 77 17 ( ( PUNCT cana-5240 77 18 πœŽπ‘‹π‘ π‘¦ πœŽπ‘‹π‘ π‘¦ PROPN cana-5240 77 19 2 2 NUM cana-5240 77 20 + + NOUN cana-5240 77 21 πœŽπ‘‰π‘ π‘¦ πœŽπ‘‰π‘ π‘¦ PROPN cana-5240 77 22 2 2 NUM cana-5240 77 23 ) ) PUNCT cana-5240 77 24 ( ( PUNCT cana-5240 77 25 2.16 2.16 NUM cana-5240 77 26 ) ) PUNCT cana-5240 77 27 now now ADV cana-5240 77 28 substituting substitute VERB cana-5240 77 29 the the DET cana-5240 77 30 value value NOUN cana-5240 77 31 of of ADP cana-5240 77 32 𝑏 𝑏 NOUN cana-5240 77 33 , , PUNCT cana-5240 77 34 the the DET cana-5240 77 35 minimum minimum ADJ cana-5240 77 36 variance variance NOUN cana-5240 77 37 is be AUX cana-5240 77 38 obtained obtain VERB cana-5240 77 39 as as ADP cana-5240 77 40 𝑉( 𝑉( NOUN cana-5240 77 41 οΏ½ οΏ½ NOUN cana-5240 77 42 Μ… Μ… NOUN cana-5240 77 43 οΏ½ οΏ½ NOUN cana-5240 77 44 π‘‘π‘ π‘¦π‘š π‘‘π‘ π‘¦π‘š NOUN cana-5240 77 45 ) ) PUNCT cana-5240 77 46 = = PUNCT cana-5240 78 1 [ [ X cana-5240 78 2 ( ( PUNCT cana-5240 78 3 πœŽπ‘Œπ‘ π‘¦ πœŽπ‘Œπ‘ π‘¦ PROPN cana-5240 78 4 2 2 NUM cana-5240 78 5 + + CCONJ cana-5240 78 6 πœŽπ‘ˆπ‘ π‘¦ πœŽπ‘ˆπ‘ π‘¦ PROPN cana-5240 78 7 2 2 NUM cana-5240 78 8 ) ) PUNCT cana-5240 78 9 βˆ’ βˆ’ ADP cana-5240 79 1 𝜌2πœŽπ‘Œπ‘ π‘¦ 𝜌2πœŽπ‘Œπ‘ π‘¦ NOUN cana-5240 79 2 2 2 NUM cana-5240 79 3 πœŽπ‘‹π‘ π‘¦ πœŽπ‘‹π‘ π‘¦ PROPN cana-5240 79 4 2 2 NUM cana-5240 79 5 ( ( PUNCT cana-5240 79 6 πœŽπ‘‹π‘ π‘¦ πœŽπ‘‹π‘ π‘¦ PROPN cana-5240 79 7 2 2 NUM cana-5240 79 8 + + NOUN cana-5240 79 9 πœŽπ‘Œπ‘ π‘¦ πœŽπ‘Œπ‘ π‘¦ PROPN cana-5240 79 10 2 2 NUM cana-5240 79 11 ) ) PUNCT cana-5240 79 12 ] ] PUNCT cana-5240 79 13 ( ( PUNCT cana-5240 79 14 2.17 2.17 NUM cana-5240 79 15 ) ) PUNCT cana-5240 79 16 communications communication NOUN cana-5240 79 17 on on ADP cana-5240 79 18 applied apply VERB cana-5240 79 19 nonlinear nonlinear ADJ cana-5240 79 20 analysis analysis NOUN cana-5240 79 21 issn issn NOUN cana-5240 79 22 : : PUNCT cana-5240 79 23 1074 1074 NUM cana-5240 79 24 - - PUNCT cana-5240 79 25 133x 133x NUM cana-5240 79 26 vol vol VERB cana-5240 79 27 32 32 NUM cana-5240 79 28 no no NOUN cana-5240 79 29 . . PUNCT cana-5240 80 1 10s 10 NOUN cana-5240 80 2 ( ( PUNCT cana-5240 80 3 2025 2025 NUM cana-5240 80 4 ) ) PUNCT cana-5240 80 5 1392 1392 NUM cana-5240 80 6 https://internationalpubls.com https://internationalpubls.com X cana-5240 80 7 3 3 NUM cana-5240 80 8 . . NOUN cana-5240 80 9 1 1 NUM cana-5240 80 10 . . NUM cana-5240 80 11 proposed propose VERB cana-5240 80 12 class class NOUN cana-5240 80 13 of of ADP cana-5240 80 14 estimators estimator NOUN cana-5240 80 15 the the DET cana-5240 80 16 proposed propose VERB cana-5240 80 17 class class NOUN cana-5240 80 18 of of ADP cana-5240 80 19 estimators estimator NOUN cana-5240 80 20 in in ADP cana-5240 80 21 the the DET cana-5240 80 22 presence presence NOUN cana-5240 80 23 of of ADP cana-5240 80 24 measurement measurement NOUN cana-5240 80 25 error error NOUN cana-5240 80 26 is be AUX cana-5240 80 27 οΏ½ οΏ½ NOUN cana-5240 80 28 Μ‚ Μ‚ NOUN cana-5240 80 29 οΏ½ οΏ½ NOUN cana-5240 80 30 π‘Œπ‘…πΈπ‘ π‘¦π‘š π‘Œπ‘…πΈπ‘ π‘¦π‘š PROPN cana-5240 80 31 = = SYM cana-5240 80 32 οΏ½ οΏ½ PROPN cana-5240 80 33 Μ… Μ… NOUN cana-5240 80 34 οΏ½ οΏ½ NOUN cana-5240 80 35 𝑠𝑦𝑒π‘₯𝑝 𝑠𝑦𝑒π‘₯𝑝 NOUN cana-5240 80 36 ( ( PUNCT cana-5240 80 37 πœ‡π‘‹π‘ π‘¦π‘š πœ‡π‘‹π‘ π‘¦π‘š PROPN cana-5240 80 38 βˆ’ βˆ’ PROPN cana-5240 80 39 οΏ½ οΏ½ NOUN cana-5240 80 40 Μ… Μ… NOUN cana-5240 80 41 οΏ½ οΏ½ NOUN cana-5240 80 42 𝑠𝑦 𝑠𝑦 ADP cana-5240 80 43 πœ‡π‘‹π‘ π‘¦π‘š+ πœ‡π‘‹π‘ π‘¦π‘š+ PROPN cana-5240 80 44 οΏ½ οΏ½ NOUN cana-5240 80 45 Μ… Μ… NOUN cana-5240 80 46 οΏ½ οΏ½ NOUN cana-5240 80 47 𝑠𝑦+2𝐾 𝑠𝑦+2𝐾 NOUN cana-5240 80 48 ) ) PUNCT cana-5240 80 49 ( ( PUNCT cana-5240 80 50 3.1.1 3.1.1 X cana-5240 80 51 ) ) PUNCT cana-5240 80 52 𝑀𝑆𝐸( 𝑀𝑆𝐸( PROPN cana-5240 80 53 οΏ½ οΏ½ PROPN cana-5240 80 54 Μ‚ Μ‚ NOUN cana-5240 80 55 οΏ½ οΏ½ NOUN cana-5240 80 56 π‘Œπ‘…π‘ π‘¦π‘š π‘Œπ‘…π‘ π‘¦π‘š PROPN cana-5240 80 57 ) ) PUNCT cana-5240 81 1 = = PUNCT cana-5240 82 1 [ [ X cana-5240 82 2 ( ( PUNCT cana-5240 82 3 πœŽπ‘Œπ‘ π‘¦ πœŽπ‘Œπ‘ π‘¦ PROPN cana-5240 82 4 2 2 NUM cana-5240 82 5 + + CCONJ cana-5240 82 6 πœŽπ‘ˆπ‘ π‘¦ πœŽπ‘ˆπ‘ π‘¦ PROPN cana-5240 82 7 2 2 NUM cana-5240 82 8 ) ) PUNCT cana-5240 82 9 + + CCONJ cana-5240 82 10 ( ( PUNCT cana-5240 82 11 πœŽπ‘Œπ‘ π‘¦ πœŽπ‘Œπ‘ π‘¦ PROPN cana-5240 82 12 2 2 NUM cana-5240 82 13 + + NOUN cana-5240 82 14 πœŽπ‘ˆπ‘ π‘¦ πœŽπ‘ˆπ‘ π‘¦ PROPN cana-5240 82 15 2 2 NUM cana-5240 82 16 ) ) PUNCT cana-5240 82 17 4(πœ‡π‘‹π‘ π‘¦π‘š+𝐾2 4(πœ‡π‘‹π‘ π‘¦π‘š+𝐾2 NOUN cana-5240 82 18 ) ) PUNCT cana-5240 83 1 βˆ’ βˆ’ NOUN cana-5240 83 2 𝜌2πœŽπ‘Œπ‘ π‘¦ 𝜌2πœŽπ‘Œπ‘ π‘¦ NOUN cana-5240 83 3 2 2 NUM cana-5240 83 4 πœŽπ‘‹π‘ π‘¦ πœŽπ‘‹π‘ π‘¦ PROPN cana-5240 83 5 2 2 NUM cana-5240 83 6 ( ( PUNCT cana-5240 83 7 πœ‡π‘‹π‘ π‘¦π‘š+𝐾2)(πœŽπ‘‹π‘ π‘¦ πœ‡π‘‹π‘ π‘¦π‘š+𝐾2)(πœŽπ‘‹π‘ π‘¦ PROPN cana-5240 83 8 2 2 NUM cana-5240 83 9 + + ADJ cana-5240 83 10 πœŽπ‘‰π‘ π‘¦ πœŽπ‘‰π‘ π‘¦ PROPN cana-5240 83 11 2 2 NUM cana-5240 83 12 ) ) PUNCT cana-5240 83 13 ] ] PUNCT cana-5240 84 1 ( ( PUNCT cana-5240 84 2 3.1.2 3.1.2 NUM cana-5240 84 3 ) ) PUNCT cana-5240 84 4 in in ADP cana-5240 84 5 order order NOUN cana-5240 84 6 to to PART cana-5240 84 7 obtain obtain VERB cana-5240 84 8 the the DET cana-5240 84 9 min min PROPN cana-5240 84 10 . . PROPN cana-5240 84 11 mse mse PROPN cana-5240 84 12 differentiate differentiate NOUN cana-5240 84 13 ( ( PUNCT cana-5240 84 14 3.1.2 3.1.2 NOUN cana-5240 84 15 ) ) PUNCT cana-5240 84 16 w.r.t w.r.t NOUN cana-5240 84 17 𝐾 𝐾 PROPN cana-5240 84 18 and and CCONJ cana-5240 84 19 equate equate VERB cana-5240 84 20 it it PRON cana-5240 84 21 to to ADP cana-5240 84 22 zero zero NUM cana-5240 84 23 𝑑 𝑑 PROPN cana-5240 84 24 𝑑𝐾 𝑑𝐾 PROPN cana-5240 84 25 ( ( PUNCT cana-5240 84 26 πœ‡ πœ‡ X cana-5240 84 27 Μ‚ Μ‚ PUNCT cana-5240 84 28 π‘Œπ‘…πΈπ‘ π‘¦π‘š π‘Œπ‘…πΈπ‘ π‘¦π‘š PROPN cana-5240 84 29 ) ) PUNCT cana-5240 84 30 = = SYM cana-5240 84 31 0 0 PUNCT cana-5240 84 32 ( ( PUNCT cana-5240 84 33 3.1.3 3.1.3 NUM cana-5240 84 34 ) ) PUNCT cana-5240 84 35 𝐾 𝐾 NOUN cana-5240 84 36 = = SYM cana-5240 84 37 βˆ’πœ‡π‘‹π‘ π‘¦π‘š βˆ’πœ‡π‘‹π‘ π‘¦π‘š PROPN cana-5240 85 1 + + CCONJ cana-5240 85 2 πœ‡π‘Œπ‘ π‘¦ πœ‡π‘Œπ‘ π‘¦ PROPN cana-5240 85 3 2 2 NUM cana-5240 85 4 βˆ’ βˆ’ NOUN cana-5240 85 5 ( ( PUNCT cana-5240 85 6 πœŽπ‘Œπ‘ π‘¦ πœŽπ‘Œπ‘ π‘¦ PROPN cana-5240 85 7 2 2 NUM cana-5240 85 8 + + CCONJ cana-5240 85 9 πœŽπ‘ˆπ‘ π‘¦ πœŽπ‘ˆπ‘ π‘¦ PROPN cana-5240 85 10 2 2 NUM cana-5240 85 11 ) ) PUNCT cana-5240 85 12 /𝑆π‘₯𝑦 /𝑆π‘₯𝑦 PUNCT cana-5240 85 13 ( ( PUNCT cana-5240 85 14 3.1.4 3.1.4 NUM cana-5240 85 15 ) ) PUNCT cana-5240 85 16 after after ADP cana-5240 85 17 substituting substitute VERB cana-5240 85 18 the the DET cana-5240 85 19 value value NOUN cana-5240 85 20 of of ADP cana-5240 85 21 𝐾 𝐾 PROPN cana-5240 86 1 mean mean VERB cana-5240 86 2 square square ADJ cana-5240 86 3 error error NOUN cana-5240 86 4 of of ADP cana-5240 86 5 the the DET cana-5240 86 6 estimators estimator NOUN cana-5240 86 7 we we PRON cana-5240 86 8 can can AUX cana-5240 86 9 write write VERB cana-5240 86 10 from from ADP cana-5240 86 11 equation equation NOUN cana-5240 86 12 ( ( PUNCT cana-5240 86 13 3.1.2 3.1.2 NOUN cana-5240 86 14 ) ) PUNCT cana-5240 86 15 as as ADP cana-5240 86 16 π‘šπ‘–π‘›. π‘šπ‘–π‘›. NOUN cana-5240 86 17 𝑀𝑆𝐸( 𝑀𝑆𝐸( PROPN cana-5240 86 18 οΏ½ οΏ½ PROPN cana-5240 86 19 Μ‚ Μ‚ NOUN cana-5240 86 20 οΏ½ οΏ½ NOUN cana-5240 86 21 π‘Œπ‘ π‘¦π‘š π‘Œπ‘ π‘¦π‘š PROPN cana-5240 86 22 ) ) PUNCT cana-5240 87 1 = = PUNCT cana-5240 88 1 ( ( PUNCT cana-5240 88 2 πœŽπ‘Œπ‘ π‘¦ πœŽπ‘Œπ‘ π‘¦ PROPN cana-5240 88 3 2 2 NUM cana-5240 88 4 + + CCONJ cana-5240 88 5 πœŽπ‘ˆπ‘ π‘¦ πœŽπ‘ˆπ‘ π‘¦ PROPN cana-5240 88 6 2 2 NUM cana-5240 88 7 ) ) PUNCT cana-5240 88 8 βˆ’ βˆ’ ADP cana-5240 88 9 𝜌2πœŽπ‘Œπ‘ π‘¦ 𝜌2πœŽπ‘Œπ‘ π‘¦ NOUN cana-5240 88 10 2 2 NUM cana-5240 88 11 πœŽπ‘‹π‘ π‘¦ πœŽπ‘‹π‘ π‘¦ PROPN cana-5240 88 12 2 2 NUM cana-5240 88 13 ( ( PUNCT cana-5240 88 14 πœŽπ‘‹π‘ π‘¦ πœŽπ‘‹π‘ π‘¦ PROPN cana-5240 88 15 2 2 NUM cana-5240 88 16 + + NOUN cana-5240 88 17 πœŽπ‘‰π‘ π‘¦ πœŽπ‘‰π‘ π‘¦ PROPN cana-5240 88 18 2 2 NUM cana-5240 88 19 ) ) PUNCT cana-5240 88 20 ( ( PUNCT cana-5240 88 21 3.1.5 3.1.5 X cana-5240 88 22 ) ) PUNCT cana-5240 88 23 3.2 3.2 NUM cana-5240 88 24 . . PUNCT cana-5240 88 25 bias bias NOUN cana-5240 88 26 and and CCONJ cana-5240 88 27 mean mean VERB cana-5240 88 28 square square ADJ cana-5240 88 29 error error NOUN cana-5240 88 30 for for ADP cana-5240 88 31 the the DET cana-5240 88 32 correlated correlate VERB cana-5240 88 33 measurement measurement NOUN cana-5240 88 34 error error NOUN cana-5240 88 35 the the DET cana-5240 88 36 minimum minimum ADJ cana-5240 88 37 mean mean NOUN cana-5240 88 38 square square ADJ cana-5240 88 39 error error NOUN cana-5240 88 40 of of ADP cana-5240 88 41 the the DET cana-5240 88 42 proposed propose VERB cana-5240 88 43 class class NOUN cana-5240 88 44 of of ADP cana-5240 88 45 estimator estimator NOUN cana-5240 88 46 in in ADP cana-5240 88 47 the the DET cana-5240 88 48 presence presence NOUN cana-5240 88 49 of of ADP cana-5240 88 50 correlated correlate VERB cana-5240 88 51 measurement measurement NOUN cana-5240 88 52 error error NOUN cana-5240 88 53 is be AUX cana-5240 88 54 obtained obtain VERB cana-5240 88 55 as as ADP cana-5240 88 56 𝑀𝑆𝐸( 𝑀𝑆𝐸( PROPN cana-5240 88 57 οΏ½ οΏ½ PROPN cana-5240 88 58 Μ‚ Μ‚ NOUN cana-5240 88 59 οΏ½ οΏ½ NOUN cana-5240 88 60 π‘Œπ‘ π‘¦π‘š π‘Œπ‘ π‘¦π‘š PROPN cana-5240 88 61 ) ) PUNCT cana-5240 88 62 = = PUNCT cana-5240 89 1 ( ( PUNCT cana-5240 89 2 πœŽπ‘Œπ‘ π‘¦ πœŽπ‘Œπ‘ π‘¦ PROPN cana-5240 89 3 2 2 NUM cana-5240 89 4 + + CCONJ cana-5240 89 5 πœŽπ‘ˆπ‘ π‘¦ πœŽπ‘ˆπ‘ π‘¦ PROPN cana-5240 89 6 2 2 NUM cana-5240 89 7 ) ) PUNCT cana-5240 89 8 βˆ’ βˆ’ PROPN cana-5240 89 9 ( ( PUNCT cana-5240 89 10 πœŒπœŽπ‘‹π‘ π‘¦πœŽπ‘Œπ‘ π‘¦+πœŒπ‘ˆπ‘‰πœŽπ‘‰π‘ π‘¦πœŽπ‘ˆπ‘ π‘¦ πœŒπœŽπ‘‹π‘ π‘¦πœŽπ‘Œπ‘ π‘¦+πœŒπ‘ˆπ‘‰πœŽπ‘‰π‘ π‘¦πœŽπ‘ˆπ‘ π‘¦ ADV cana-5240 89 11 ) ) PUNCT cana-5240 89 12 2 2 NUM cana-5240 89 13 ( ( PUNCT cana-5240 89 14 πœŽπ‘‹π‘ π‘¦ πœŽπ‘‹π‘ π‘¦ PROPN cana-5240 89 15 2 2 NUM cana-5240 89 16 + + NOUN cana-5240 89 17 πœŽπ‘‰π‘ π‘¦ πœŽπ‘‰π‘ π‘¦ PROPN cana-5240 89 18 2 2 NUM cana-5240 89 19 ) ) PUNCT cana-5240 89 20 ( ( PUNCT cana-5240 89 21 3.2.1 3.2.1 NUM cana-5240 89 22 ) ) PUNCT cana-5240 89 23 5.1 5.1 NUM cana-5240 89 24 . . PUNCT cana-5240 90 1 simulation simulation NOUN cana-5240 90 2 study study NOUN cana-5240 90 3 in in ADP cana-5240 90 4 order order NOUN cana-5240 90 5 to to PART cana-5240 90 6 show show VERB cana-5240 90 7 the the DET cana-5240 90 8 efficiency efficiency NOUN cana-5240 90 9 of of ADP cana-5240 90 10 the the DET cana-5240 90 11 estimators estimator NOUN cana-5240 90 12 and and CCONJ cana-5240 90 13 to to PART cana-5240 90 14 show show VERB cana-5240 90 15 the the DET cana-5240 90 16 impact impact NOUN cana-5240 90 17 of of ADP cana-5240 90 18 uncorrelated uncorrelated ADJ cana-5240 90 19 and and CCONJ cana-5240 90 20 correlated correlate VERB cana-5240 90 21 measurement measurement NOUN cana-5240 90 22 error error NOUN cana-5240 90 23 on on ADP cana-5240 90 24 the the DET cana-5240 90 25 mse mse PROPN cana-5240 90 26 simulation simulation NOUN cana-5240 90 27 study study NOUN cana-5240 90 28 is be AUX cana-5240 90 29 conducted conduct VERB cana-5240 90 30 by by ADP cana-5240 90 31 using use VERB cana-5240 90 32 r r NOUN cana-5240 90 33 studio studio NOUN cana-5240 90 34 . . PUNCT cana-5240 91 1 a a DET cana-5240 91 2 data data NOUN cana-5240 91 3 matrix matrix NOUN cana-5240 91 4 is be AUX cana-5240 91 5 generated generate VERB cana-5240 91 6 using use VERB cana-5240 91 7 multivariate multivariate NOUN cana-5240 91 8 normal normal ADJ cana-5240 91 9 distribution distribution NOUN cana-5240 91 10 on on ADP cana-5240 91 11 the the DET cana-5240 91 12 auxiliary auxiliary ADJ cana-5240 91 13 variable variable PROPN cana-5240 91 14 𝑋 𝑋 PROPN cana-5240 91 15 , , PUNCT cana-5240 91 16 study study VERB cana-5240 91 17 variable variable NOUN cana-5240 91 18 π‘Œ π‘Œ PROPN cana-5240 91 19 and and CCONJ cana-5240 91 20 the the DET cana-5240 91 21 error error NOUN cana-5240 91 22 variables variable VERB cana-5240 91 23 π‘ˆ π‘ˆ PROPN cana-5240 91 24 and and CCONJ cana-5240 91 25 𝑉 𝑉 PROPN cana-5240 91 26 and and CCONJ cana-5240 91 27 the the DET cana-5240 91 28 four four NUM cana-5240 91 29 variables variable NOUN cana-5240 91 30 𝑋 𝑋 PROPN cana-5240 91 31 , , PUNCT cana-5240 91 32 π‘Œ π‘Œ PROPN cana-5240 91 33 , , PUNCT cana-5240 91 34 π‘ˆ π‘ˆ PROPN cana-5240 91 35 and and CCONJ cana-5240 91 36 𝑉 𝑉 PROPN cana-5240 91 37 are be AUX cana-5240 91 38 with with ADP cana-5240 91 39 mean mean ADJ cana-5240 91 40 ( ( PUNCT cana-5240 91 41 πœ‡π‘‹π‘ π‘¦ πœ‡π‘‹π‘ π‘¦ PROPN cana-5240 91 42 , , PUNCT cana-5240 91 43 πœ‡π‘Œπ‘ π‘¦ πœ‡π‘Œπ‘ π‘¦ PROPN cana-5240 91 44 , , PUNCT cana-5240 91 45 0,0 0,0 NOUN cana-5240 91 46 ) ) PUNCT cana-5240 91 47 . . PUNCT cana-5240 92 1 the the DET cana-5240 92 2 covariance covariance NOUN cana-5240 92 3 matrix matrix NOUN cana-5240 92 4 is be AUX cana-5240 92 5 : : PUNCT cana-5240 92 6 ( ( PUNCT cana-5240 92 7 π‘†π‘Œ π‘†π‘Œ PROPN cana-5240 92 8 2 2 NUM cana-5240 92 9 πœŒπ‘†π‘‹π‘†π‘Œ πœŒπ‘†π‘‹π‘†π‘Œ NOUN cana-5240 92 10 0 0 NUM cana-5240 92 11 0 0 NUM cana-5240 93 1 πœŒπ‘†π‘‹π‘†π‘Œ πœŒπ‘†π‘‹π‘†π‘Œ NOUN cana-5240 93 2 𝑆𝑋 𝑆𝑋 PROPN cana-5240 93 3 2 2 NUM cana-5240 93 4 0 0 NUM cana-5240 93 5 0 0 NUM cana-5240 93 6 0 0 NUM cana-5240 93 7 0 0 NUM cana-5240 93 8 π‘†π‘ˆ π‘†π‘ˆ PROPN cana-5240 93 9 2 2 NUM cana-5240 93 10 πœŒπ‘ˆπ‘‰π‘†π‘ˆπ‘†π‘‰ πœŒπ‘ˆπ‘‰π‘†π‘ˆπ‘†π‘‰ NUM cana-5240 93 11 0 0 NUM cana-5240 93 12 0 0 NUM cana-5240 93 13 πœŒπ‘ˆπ‘‰π‘†π‘ˆπ‘†π‘‰ πœŒπ‘ˆπ‘‰π‘†π‘ˆπ‘†π‘‰ NUM cana-5240 93 14 𝑆𝑉 𝑆𝑉 PROPN cana-5240 93 15 2 2 NUM cana-5240 93 16 ) ) PUNCT cana-5240 93 17 here here ADV cana-5240 93 18 π‘†π‘Œ π‘†π‘Œ PROPN cana-5240 93 19 2 2 NUM cana-5240 93 20 and and CCONJ cana-5240 93 21 𝑆𝑋 𝑆𝑋 PROPN cana-5240 93 22 2 2 NUM cana-5240 93 23 is be AUX cana-5240 93 24 the the DET cana-5240 93 25 standard standard ADJ cana-5240 93 26 deviation deviation NOUN cana-5240 93 27 of of ADP cana-5240 93 28 the the DET cana-5240 93 29 study study NOUN cana-5240 93 30 variable variable NOUN cana-5240 93 31 π‘Œ π‘Œ PROPN cana-5240 93 32 and and CCONJ cana-5240 93 33 𝑋 𝑋 PROPN cana-5240 93 34 .. .. PROPN cana-5240 93 35 communications communication NOUN cana-5240 93 36 on on ADP cana-5240 93 37 applied apply VERB cana-5240 93 38 nonlinear nonlinear ADJ cana-5240 93 39 analysis analysis NOUN cana-5240 93 40 issn issn NOUN cana-5240 93 41 : : PUNCT cana-5240 93 42 1074 1074 NUM cana-5240 93 43 - - PUNCT cana-5240 93 44 133x 133x NUM cana-5240 93 45 vol vol VERB cana-5240 93 46 32 32 NUM cana-5240 93 47 no no NOUN cana-5240 93 48 . . PUNCT cana-5240 94 1 10s 10 NOUN cana-5240 94 2 ( ( PUNCT cana-5240 94 3 2025 2025 NUM cana-5240 94 4 ) ) PUNCT cana-5240 94 5 1393 1393 NUM cana-5240 94 6 https://internationalpubls.com https://internationalpubls.com X cana-5240 94 7 π‘†π‘ˆ π‘†π‘ˆ PROPN cana-5240 94 8 2 2 NUM cana-5240 94 9 and and CCONJ cana-5240 94 10 𝑆𝑉 𝑆𝑉 PROPN cana-5240 94 11 2 2 NUM cana-5240 94 12 is be AUX cana-5240 94 13 the the DET cana-5240 94 14 standard standard ADJ cana-5240 94 15 deviation deviation NOUN cana-5240 94 16 of of ADP cana-5240 94 17 the the DET cana-5240 94 18 measurement measurement NOUN cana-5240 94 19 error error NOUN cana-5240 94 20 π‘ˆ π‘ˆ PROPN cana-5240 94 21 associated associate VERB cana-5240 94 22 with with ADP cana-5240 94 23 study study NOUN cana-5240 94 24 variable variable ADJ cana-5240 94 25 π‘Œ π‘Œ PROPN cana-5240 94 26 sample sample NOUN cana-5240 94 27 and and CCONJ cana-5240 94 28 𝑉 𝑉 PROPN cana-5240 94 29 is be AUX cana-5240 94 30 associated associate VERB cana-5240 94 31 with with ADP cana-5240 94 32 the the DET cana-5240 94 33 auxiliary auxiliary ADJ cana-5240 94 34 variable variable NOUN cana-5240 94 35 𝑋. 𝑋. PROPN cana-5240 94 36 𝜌 𝜌 X cana-5240 94 37 is be AUX cana-5240 94 38 the the DET cana-5240 94 39 correlation correlation NOUN cana-5240 94 40 coefficient coefficient NOUN cana-5240 94 41 between between ADP cana-5240 94 42 the the DET cana-5240 94 43 study study NOUN cana-5240 94 44 variable variable NOUN cana-5240 94 45 π‘Œ π‘Œ PROPN cana-5240 94 46 and and CCONJ cana-5240 94 47 auxiliary auxiliary ADJ cana-5240 94 48 variable variable ADJ cana-5240 94 49 𝑋. 𝑋. PROPN cana-5240 94 50 πœŒπ‘ˆπ‘‰ πœŒπ‘ˆπ‘‰ X cana-5240 94 51 is be AUX cana-5240 94 52 the the DET cana-5240 94 53 correlation correlation NOUN cana-5240 94 54 coefficient coefficient NOUN cana-5240 94 55 between between ADP cana-5240 94 56 the the DET cana-5240 94 57 measurement measurement NOUN cana-5240 94 58 errors error NOUN cana-5240 94 59 of of ADP cana-5240 94 60 π‘ˆ π‘ˆ PROPN cana-5240 94 61 and and CCONJ cana-5240 94 62 𝑉 𝑉 PROPN cana-5240 94 63 the the DET cana-5240 94 64 study study NOUN cana-5240 94 65 variable variable NOUN cana-5240 94 66 π‘Œ π‘Œ PROPN cana-5240 94 67 and and CCONJ cana-5240 94 68 auxiliary auxiliary ADJ cana-5240 94 69 variable variable NOUN cana-5240 94 70 𝑋. 𝑋. PROPN cana-5240 94 71 from from ADP cana-5240 94 72 the the DET cana-5240 94 73 simulation simulation NOUN cana-5240 94 74 by by ADP cana-5240 94 75 using use VERB cana-5240 94 76 r r NOUN cana-5240 94 77 studio studio NOUN cana-5240 94 78 , , PUNCT cana-5240 94 79 data datum NOUN cana-5240 94 80 is be AUX cana-5240 94 81 generated generate VERB cana-5240 94 82 for for ADP cana-5240 94 83 multivariate multivariate VERB cana-5240 94 84 normal normal ADJ cana-5240 94 85 distribution distribution NOUN cana-5240 94 86 with with ADP cana-5240 94 87 mean mean ADJ cana-5240 94 88 vector vector NOUN cana-5240 94 89 for for ADP cana-5240 94 90 ( ( PUNCT cana-5240 94 91 πœ‡π‘‹π‘ π‘¦ πœ‡π‘‹π‘ π‘¦ PROPN cana-5240 94 92 , , PUNCT cana-5240 94 93 πœ‡π‘Œπ‘ π‘¦ πœ‡π‘Œπ‘ π‘¦ PROPN cana-5240 94 94 , , PUNCT cana-5240 94 95 0 0 NUM cana-5240 94 96 , , PUNCT cana-5240 94 97 0 0 NUM cana-5240 94 98 ) ) PUNCT cana-5240 95 1 = = SYM cana-5240 95 2 ( ( PUNCT cana-5240 95 3 50,60,0,0 50,60,0,0 NOUN cana-5240 95 4 ) ) PUNCT cana-5240 95 5 and and CCONJ cana-5240 95 6 𝑆𝑋 𝑆𝑋 PROPN cana-5240 95 7 = = SYM cana-5240 95 8 35 35 NUM cana-5240 95 9 , , PUNCT cana-5240 95 10 π‘†π‘Œ π‘†π‘Œ PROPN cana-5240 95 11 = = PROPN cana-5240 95 12 25 25 NUM cana-5240 95 13 . . PUNCT cana-5240 96 1 from from ADP cana-5240 96 2 the the DET cana-5240 96 3 generated generate VERB cana-5240 96 4 data datum NOUN cana-5240 96 5 10 10 NUM cana-5240 96 6 , , PUNCT cana-5240 96 7 systematic systematic ADJ cana-5240 96 8 samples sample NOUN cana-5240 96 9 has have AUX cana-5240 96 10 been be AUX cana-5240 96 11 taken take VERB cana-5240 96 12 . . PUNCT cana-5240 97 1 the the DET cana-5240 97 2 statistics statistic NOUN cana-5240 97 3 is be AUX cana-5240 97 4 calculated calculate VERB cana-5240 97 5 for for SCONJ cana-5240 97 6 the the DET cana-5240 97 7 generated generate VERB cana-5240 97 8 data datum NOUN cana-5240 97 9 set set VERB cana-5240 97 10 . . PUNCT cana-5240 98 1 the the DET cana-5240 98 2 mean mean ADJ cana-5240 98 3 square square ADJ cana-5240 98 4 error error NOUN cana-5240 98 5 is be AUX cana-5240 98 6 defined define VERB cana-5240 98 7 as as ADP cana-5240 98 8 the the DET cana-5240 98 9 expectation expectation NOUN cana-5240 98 10 of of ADP cana-5240 98 11 the the DET cana-5240 98 12 squared square VERB cana-5240 98 13 difference difference NOUN cana-5240 98 14 between between ADP cana-5240 98 15 the the DET cana-5240 98 16 value value NOUN cana-5240 98 17 that that PRON cana-5240 98 18 is be AUX cana-5240 98 19 estimated estimate VERB cana-5240 98 20 and and CCONJ cana-5240 98 21 true true ADJ cana-5240 98 22 value value NOUN cana-5240 98 23 . . PUNCT cana-5240 99 1 the the DET cana-5240 99 2 mean mean ADJ cana-5240 99 3 squared square VERB cana-5240 99 4 error error NOUN cana-5240 99 5 for for ADP cana-5240 99 6 the the DET cana-5240 99 7 proposed propose VERB cana-5240 99 8 class class NOUN cana-5240 99 9 of of ADP cana-5240 99 10 estimators estimator NOUN cana-5240 99 11 is be AUX cana-5240 99 12 obtained obtain VERB cana-5240 99 13 and and CCONJ cana-5240 99 14 compared compare VERB cana-5240 99 15 with with ADP cana-5240 99 16 the the DET cana-5240 99 17 mean mean ADJ cana-5240 99 18 square square ADJ cana-5240 99 19 error error NOUN cana-5240 99 20 for for ADP cana-5240 99 21 the the DET cana-5240 99 22 ratio ratio NOUN cana-5240 99 23 and and CCONJ cana-5240 99 24 product product NOUN cana-5240 99 25 estimator estimator NOUN cana-5240 99 26 for for ADP cana-5240 99 27 different different ADJ cana-5240 99 28 combinations combination NOUN cana-5240 99 29 of of ADP cana-5240 99 30 πœŒπ‘‹π‘Œ πœŒπ‘‹π‘Œ ADV cana-5240 99 31 = = SYM cana-5240 99 32 ( ( PUNCT cana-5240 99 33 0.95 0.95 NUM cana-5240 99 34 , , PUNCT cana-5240 99 35 0.55 0.55 NUM cana-5240 99 36 , , PUNCT cana-5240 99 37 βˆ’0.95 βˆ’0.95 ADJ cana-5240 99 38 , , PUNCT cana-5240 99 39 βˆ’0.55 βˆ’0.55 PUNCT cana-5240 99 40 ) ) PUNCT cana-5240 99 41 and and CCONJ cana-5240 99 42 πœŒπ‘ˆπ‘‰ πœŒπ‘ˆπ‘‰ NUM cana-5240 99 43 = = X cana-5240 99 44 ( ( PUNCT cana-5240 99 45 0.95 0.95 NUM cana-5240 99 46 , , PUNCT cana-5240 99 47 0.55 0.55 NUM cana-5240 99 48 , , PUNCT cana-5240 99 49 0.0 0.0 NUM cana-5240 99 50 , , PUNCT cana-5240 99 51 βˆ’0.95 βˆ’0.95 ADJ cana-5240 99 52 , , PUNCT cana-5240 99 53 βˆ’0.55 βˆ’0.55 NOUN cana-5240 99 54 ) ) PUNCT cana-5240 99 55 . . PUNCT cana-5240 100 1 to to PART cana-5240 100 2 illustrate illustrate VERB cana-5240 100 3 the the DET cana-5240 100 4 performance performance NOUN cana-5240 100 5 of of ADP cana-5240 100 6 the the DET cana-5240 100 7 estimator estimator NOUN cana-5240 100 8 under under ADP cana-5240 100 9 measurement measurement NOUN cana-5240 100 10 error error NOUN cana-5240 100 11 and and CCONJ cana-5240 100 12 correlated correlate VERB cana-5240 100 13 measurement measurement NOUN cana-5240 100 14 error error NOUN cana-5240 100 15 6 6 NUM cana-5240 100 16 tables table NOUN cana-5240 100 17 is be AUX cana-5240 100 18 created create VERB cana-5240 100 19 . . PUNCT cana-5240 101 1 table table NOUN cana-5240 101 2 1 1 NUM cana-5240 101 3 : : PUNCT cana-5240 101 4 mse mse NOUN cana-5240 101 5 and and CCONJ cana-5240 101 6 pre pre NOUN cana-5240 101 7 of of ADP cana-5240 101 8 various various ADJ cana-5240 101 9 estimators estimator NOUN cana-5240 101 10 of of ADP cana-5240 101 11 ππ’€π’”π’š ππ’€π’”π’š PROPN cana-5240 101 12 for for ADP cana-5240 101 13 𝝆𝑼𝑽 𝝆𝑼𝑽 ADJ cana-5240 101 14 = = SYM cana-5240 101 15 ( ( PUNCT cana-5240 101 16 𝟎. 𝟎. NOUN cana-5240 101 17 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 101 18 , , PUNCT cana-5240 101 19 𝟎. 𝟎. X cana-5240 101 20 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 101 21 , , PUNCT cana-5240 101 22 𝟎. 𝟎. X cana-5240 101 23 𝟎 𝟎 PROPN cana-5240 101 24 , , PUNCT cana-5240 101 25 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 101 26 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 101 27 , , PUNCT cana-5240 101 28 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 101 29 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 101 30 ) ) PUNCT cana-5240 101 31 and and CCONJ cana-5240 101 32 𝝆𝑿𝒀 𝝆𝑿𝒀 NOUN cana-5240 102 1 = = SYM cana-5240 102 2 ( ( PUNCT cana-5240 102 3 𝟎. 𝟎. NOUN cana-5240 102 4 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 102 5 , , PUNCT cana-5240 102 6 𝟎. 𝟎. X cana-5240 102 7 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 102 8 , , PUNCT cana-5240 102 9 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 102 10 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 102 11 , , PUNCT cana-5240 102 12 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 102 13 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 102 14 ) ) PUNCT cana-5240 102 15 when when SCONJ cana-5240 102 16 ( ( PUNCT cana-5240 102 17 πˆπ‘Ό πˆπ‘Ό ADJ cana-5240 102 18 𝟐 𝟐 NUM cana-5240 102 19 , , PUNCT cana-5240 102 20 πˆπ‘½ πˆπ‘½ ADJ cana-5240 102 21 𝟐 𝟐 NUM cana-5240 102 22 ) ) PUNCT cana-5240 102 23 = = SYM cana-5240 102 24 ( ( PUNCT cana-5240 102 25 𝟎 𝟎 PROPN cana-5240 102 26 , , PUNCT cana-5240 102 27 𝟎 𝟎 NUM cana-5240 102 28 ) ) PUNCT cana-5240 102 29 and and CCONJ cana-5240 102 30 ( ( PUNCT cana-5240 102 31 πˆπ’€ πˆπ’€ NOUN cana-5240 102 32 𝟐 𝟐 NUM cana-5240 102 33 , , PUNCT cana-5240 102 34 πˆπ‘Ώ πˆπ‘Ώ VERB cana-5240 102 35 𝟐 𝟐 NUM cana-5240 102 36 ) ) PUNCT cana-5240 102 37 = = PUNCT cana-5240 102 38 ( ( PUNCT cana-5240 102 39 πŸπŸ“ πŸπŸ“ NUM cana-5240 102 40 , , PUNCT cana-5240 102 41 𝟐𝟎 𝟐𝟎 NUM cana-5240 102 42 ) ) PUNCT cana-5240 102 43 and and CCONJ cana-5240 102 44 𝑡 𝑡 PROPN cana-5240 102 45 = = SYM cana-5240 102 46 𝟏𝟎𝟎𝟎 𝟏𝟎𝟎𝟎 PROPN cana-5240 102 47 and and CCONJ cana-5240 102 48 𝒏 𝒏 PROPN cana-5240 102 49 = = PROPN cana-5240 102 50 𝟏𝟎. 𝟏𝟎. PROPN cana-5240 102 51 Οƒu Οƒu ADP cana-5240 102 52 2 2 NUM cana-5240 102 53 Οƒv Οƒv PROPN cana-5240 102 54 2 2 NUM cana-5240 102 55 ρxy ρxy NOUN cana-5240 102 56 ρuv ρuv PROPN cana-5240 102 57 mse mse PROPN cana-5240 102 58 var var NOUN cana-5240 102 59 ( ( PUNCT cana-5240 102 60 ΞΌΜ‚sym ΞΌΜ‚sym PROPN cana-5240 102 61 ) ) PUNCT cana-5240 102 62 ΞΌΜ‚rsym ΞΌΜ‚rsym PROPN cana-5240 102 63 ΞΌΜ‚psym ΞΌΜ‚psym NUM cana-5240 103 1 yΜ…sym yΜ…sym PROPN cana-5240 103 2 0 0 NUM cana-5240 103 3 0 0 NUM cana-5240 103 4 .95 .95 NUM cana-5240 103 5 0.95 0.95 NUM cana-5240 103 6 0.55 0.55 NUM cana-5240 103 7 0.0 0.0 NUM cana-5240 103 8 -.95 -.95 SYM cana-5240 103 9 -.55 -.55 PUNCT cana-5240 103 10 0.791 0.791 NUM cana-5240 103 11 0.705 0.705 NUM cana-5240 103 12 0.703 0.703 NUM cana-5240 103 13 1.908 1.908 NUM cana-5240 103 14 0.742 0.742 NUM cana-5240 103 15 1.038 1.038 NUM cana-5240 103 16 0.844 0.844 NUM cana-5240 103 17 0.836 0.836 NUM cana-5240 103 18 2.405 2.405 NUM cana-5240 103 19 1.143 1.143 NUM cana-5240 103 20 24.263 24.263 NUM cana-5240 103 21 31.948 31.948 NUM cana-5240 103 22 23.633 23.633 NUM cana-5240 103 23 61.18 61.18 NUM cana-5240 103 24 35.259 35.259 NUM cana-5240 103 25 8.187 8.187 NUM cana-5240 103 26 7.74 7.74 NUM cana-5240 103 27 7.313 7.313 NUM cana-5240 103 28 19.565 19.565 NUM cana-5240 103 29 7.611 7.611 NUM cana-5240 103 30 .55 .55 NUM cana-5240 103 31 0.95 0.95 NUM cana-5240 103 32 0.55 0.55 NUM cana-5240 103 33 0.0 0.0 NUM cana-5240 103 34 -.95 -.95 SYM cana-5240 103 35 6.82 6.82 NUM cana-5240 103 36 10.63 10.63 NUM cana-5240 103 37 16.29 16.29 NUM cana-5240 103 38 12.82 12.82 NUM cana-5240 103 39 13.32 13.32 NUM cana-5240 103 40 11.467 11.467 NUM cana-5240 103 41 18.439 18.439 NUM cana-5240 103 42 16.449 16.449 NUM cana-5240 103 43 14.865 14.865 NUM cana-5240 103 44 19.251 19.251 NUM cana-5240 103 45 38.284 38.284 NUM cana-5240 103 46 60.889 60.889 NUM cana-5240 103 47 48.846 48.846 NUM cana-5240 103 48 50.588 50.588 NUM cana-5240 103 49 65.774 65.774 NUM cana-5240 103 50 9.964 9.964 NUM cana-5240 103 51 15.25 15.25 NUM cana-5240 103 52 23.367 23.367 NUM cana-5240 103 53 18.387 18.387 NUM cana-5240 103 54 19.1 19.1 NUM cana-5240 103 55 communications communication NOUN cana-5240 103 56 on on ADP cana-5240 103 57 applied apply VERB cana-5240 103 58 nonlinear nonlinear ADJ cana-5240 103 59 analysis analysis NOUN cana-5240 103 60 issn issn NOUN cana-5240 103 61 : : PUNCT cana-5240 103 62 1074 1074 NUM cana-5240 103 63 - - PUNCT cana-5240 103 64 133x 133x NUM cana-5240 103 65 vol vol VERB cana-5240 103 66 32 32 NUM cana-5240 103 67 no no NOUN cana-5240 103 68 . . PUNCT cana-5240 104 1 10s 10 NOUN cana-5240 104 2 ( ( PUNCT cana-5240 104 3 2025 2025 NUM cana-5240 104 4 ) ) PUNCT cana-5240 104 5 1394 1394 NUM cana-5240 104 6 https://internationalpubls.com https://internationalpubls.com X cana-5240 104 7 table table NOUN cana-5240 104 8 2 2 NUM cana-5240 104 9 : : PUNCT cana-5240 104 10 mse mse NOUN cana-5240 104 11 and and CCONJ cana-5240 104 12 pre pre NOUN cana-5240 104 13 of of ADP cana-5240 104 14 various various ADJ cana-5240 104 15 estimators estimator NOUN cana-5240 104 16 of of ADP cana-5240 104 17 ππ’€π’”π’š ππ’€π’”π’š PROPN cana-5240 104 18 for for ADP cana-5240 104 19 𝝆𝑼𝑽 𝝆𝑼𝑽 ADJ cana-5240 104 20 ( ( PUNCT cana-5240 104 21 𝟎. 𝟎. NOUN cana-5240 104 22 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 104 23 , , PUNCT cana-5240 104 24 𝟎. 𝟎. X cana-5240 104 25 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 104 26 , , PUNCT cana-5240 104 27 𝟎. 𝟎. X cana-5240 104 28 𝟎 𝟎 NUM cana-5240 104 29 , , PUNCT cana-5240 104 30 βˆ’πŸŽ βˆ’πŸŽ PROPN cana-5240 104 31 , , PUNCT cana-5240 104 32 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 104 33 , , PUNCT cana-5240 104 34 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 104 35 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 104 36 ) ) PUNCT cana-5240 104 37 and and CCONJ cana-5240 104 38 𝝆𝑿𝒀 𝝆𝑿𝒀 NOUN cana-5240 104 39 = = SYM cana-5240 105 1 ( ( PUNCT cana-5240 105 2 𝟎. 𝟎. NOUN cana-5240 105 3 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 105 4 , , PUNCT cana-5240 105 5 𝟎. 𝟎. X cana-5240 105 6 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 105 7 , , PUNCT cana-5240 105 8 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 105 9 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 105 10 , , PUNCT cana-5240 105 11 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 105 12 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 105 13 ) ) PUNCT cana-5240 105 14 when when SCONJ cana-5240 105 15 ( ( PUNCT cana-5240 105 16 πˆπ‘Ό πˆπ‘Ό ADJ cana-5240 105 17 𝟐 𝟐 NUM cana-5240 105 18 , , PUNCT cana-5240 105 19 πˆπ‘½ πˆπ‘½ ADJ cana-5240 105 20 𝟐 𝟐 NUM cana-5240 105 21 ) ) PUNCT cana-5240 105 22 = = NOUN cana-5240 105 23 ( ( PUNCT cana-5240 105 24 𝟐 𝟐 PROPN cana-5240 105 25 , , PUNCT cana-5240 105 26 𝟐 𝟐 NUM cana-5240 105 27 ) ) PUNCT cana-5240 105 28 and and CCONJ cana-5240 105 29 ( ( PUNCT cana-5240 105 30 πˆπ’€ πˆπ’€ NOUN cana-5240 105 31 𝟐 𝟐 NUM cana-5240 105 32 , , PUNCT cana-5240 105 33 πˆπ‘Ώ πˆπ‘Ώ VERB cana-5240 105 34 𝟐 𝟐 NUM cana-5240 105 35 ) ) PUNCT cana-5240 105 36 = = PUNCT cana-5240 105 37 ( ( PUNCT cana-5240 105 38 πŸπŸ“ πŸπŸ“ NUM cana-5240 105 39 , , PUNCT cana-5240 105 40 𝟐𝟎 𝟐𝟎 NUM cana-5240 105 41 ) ) PUNCT cana-5240 105 42 and and CCONJ cana-5240 105 43 𝑡 𝑡 PROPN cana-5240 105 44 = = SYM cana-5240 105 45 𝟏𝟎𝟎𝟎 𝟏𝟎𝟎𝟎 PROPN cana-5240 105 46 and and CCONJ cana-5240 106 1 𝒏 𝒏 PROPN cana-5240 106 2 = = PROPN cana-5240 106 3 𝟏𝟎. 𝟏𝟎. PROPN cana-5240 106 4 Οƒu Οƒu ADP cana-5240 106 5 2 2 NUM cana-5240 106 6 Οƒv Οƒv PROPN cana-5240 106 7 2 2 NUM cana-5240 106 8 ρxy ρxy NOUN cana-5240 106 9 ρuv ρuv PROPN cana-5240 106 10 mse mse PROPN cana-5240 106 11 var var NOUN cana-5240 106 12 ΞΌΜ‚sym ΞΌΜ‚sym PROPN cana-5240 106 13 ΞΌΜ‚rsym ΞΌΜ‚rsym PROPN cana-5240 106 14 ΞΌΜ‚psym ΞΌΜ‚psym NUM cana-5240 107 1 yΜ…sym yΜ…sym NOUN cana-5240 107 2 2 2 NUM cana-5240 107 3 2 2 NUM cana-5240 107 4 0.95 0.95 NUM cana-5240 107 5 .95 .95 NUM cana-5240 107 6 .55 .55 NUM cana-5240 107 7 0.0 0.0 NUM cana-5240 107 8 -.95 -.95 SYM cana-5240 107 9 -.55 -.55 PUNCT cana-5240 107 10 2.965 2.965 NUM cana-5240 107 11 3.092 3.092 NUM cana-5240 107 12 4.693 4.693 NUM cana-5240 107 13 6.66 6.66 NUM cana-5240 107 14 4.039 4.039 NUM cana-5240 107 15 3.036 3.036 NUM cana-5240 107 16 3.544 3.544 NUM cana-5240 107 17 4.913 4.913 NUM cana-5240 107 18 7.346 7.346 NUM cana-5240 107 19 4.313 4.313 NUM cana-5240 107 20 107.252 107.252 NUM cana-5240 108 1 66.777 66.777 NUM cana-5240 109 1 75.321 75.321 NUM cana-5240 109 2 62.727 62.727 NUM cana-5240 109 3 35.695 35.695 NUM cana-5240 109 4 30.411 30.411 NUM cana-5240 109 5 21.80 21.80 NUM cana-5240 109 6 24.37 24.37 NUM cana-5240 109 7 17.74 17.74 NUM cana-5240 109 8 10.54 10.54 NUM cana-5240 109 9 0.55 0.55 NUM cana-5240 109 10 0.95 0.95 NUM cana-5240 109 11 0.55 0.55 NUM cana-5240 109 12 0.0 0.0 NUM cana-5240 109 13 -.95 -.95 SYM cana-5240 109 14 11.651 11.651 NUM cana-5240 109 15 11.436 11.436 NUM cana-5240 109 16 10.895 10.895 NUM cana-5240 109 17 9.606 9.606 NUM cana-5240 109 18 8.599 8.599 NUM cana-5240 109 19 11.707 11.707 NUM cana-5240 109 20 12.912 12.912 NUM cana-5240 109 21 12.726 12.726 NUM cana-5240 109 22 15.486 15.486 NUM cana-5240 109 23 15.453 15.453 NUM cana-5240 109 24 38.672 38.672 NUM cana-5240 109 25 43.573 43.573 NUM cana-5240 109 26 35.056 35.056 NUM cana-5240 109 27 35.752 35.752 NUM cana-5240 109 28 40.151 40.151 NUM cana-5240 109 29 17.807 17.807 NUM cana-5240 109 30 16.396 16.396 NUM cana-5240 110 1 14.067 14.067 NUM cana-5240 110 2 11.413 11.413 NUM cana-5240 110 3 10.847 10.847 NUM cana-5240 110 4 0.55 0.55 NUM cana-5240 110 5 -.95 -.95 NOUN cana-5240 110 6 0.95 0.95 NUM cana-5240 110 7 0.55 0.55 NUM cana-5240 110 8 0.0 0.0 NUM cana-5240 110 9 -.95 -.95 SYM cana-5240 110 10 -.55 -.55 PUNCT cana-5240 110 11 0.791 0.791 NUM cana-5240 110 12 1.688 1.688 NUM cana-5240 110 13 1.08 1.08 NUM cana-5240 110 14 1.473 1.473 NUM cana-5240 110 15 1.417 1.417 NUM cana-5240 110 16 32.482 32.482 NUM cana-5240 110 17 62.741 62.741 NUM cana-5240 110 18 40.936 40.936 NUM cana-5240 110 19 55.217 55.217 NUM cana-5240 110 20 49.023 49.023 NUM cana-5240 110 21 0.838 0.838 NUM cana-5240 110 22 1.697 1.697 NUM cana-5240 110 23 1.081 1.081 NUM cana-5240 110 24 1.475 1.475 NUM cana-5240 110 25 1.534 1.534 NUM cana-5240 110 26 8.112 8.112 NUM cana-5240 110 27 17.315 17.315 NUM cana-5240 110 28 11.081 11.081 NUM cana-5240 110 29 15.103 15.103 NUM cana-5240 110 30 14.53 14.53 NUM cana-5240 110 31 -.55 -.55 SYM cana-5240 110 32 0.95 0.95 NUM cana-5240 110 33 0.55 0.55 NUM cana-5240 110 34 0.0 0.0 NUM cana-5240 110 35 -.95 -.95 SYM cana-5240 110 36 -.55 -.55 PUNCT cana-5240 110 37 11.02 11.02 NUM cana-5240 110 38 5.724 5.724 NUM cana-5240 110 39 15.76 15.76 NUM cana-5240 110 40 7.554 7.554 NUM cana-5240 110 41 5.466 5.466 NUM cana-5240 110 42 34.034 34.034 NUM cana-5240 110 43 20.841 20.841 NUM cana-5240 110 44 66.635 66.635 NUM cana-5240 110 45 32.194 32.194 NUM cana-5240 110 46 31.118 31.118 NUM cana-5240 110 47 11.203 11.203 NUM cana-5240 110 48 6.267 6.267 NUM cana-5240 110 49 19.386 19.386 NUM cana-5240 110 50 9.36 9.36 NUM cana-5240 110 51 9.408 9.408 NUM cana-5240 110 52 15.803 15.803 NUM cana-5240 110 53 8.206 8.206 NUM cana-5240 110 54 22.607 22.607 NUM cana-5240 110 55 10.83 10.83 NUM cana-5240 110 56 7.837 7.837 NUM cana-5240 110 57 communications communication NOUN cana-5240 110 58 on on ADP cana-5240 110 59 applied apply VERB cana-5240 110 60 nonlinear nonlinear ADJ cana-5240 110 61 analysis analysis NOUN cana-5240 110 62 issn issn NOUN cana-5240 110 63 : : PUNCT cana-5240 110 64 1074 1074 NUM cana-5240 110 65 - - PUNCT cana-5240 110 66 133x 133x NUM cana-5240 110 67 vol vol VERB cana-5240 110 68 32 32 NUM cana-5240 110 69 no no NOUN cana-5240 110 70 . . PUNCT cana-5240 111 1 10s 10 NOUN cana-5240 111 2 ( ( PUNCT cana-5240 111 3 2025 2025 NUM cana-5240 111 4 ) ) PUNCT cana-5240 111 5 1395 1395 NUM cana-5240 111 6 https://internationalpubls.com https://internationalpubls.com X cana-5240 111 7 -.55 -.55 PUNCT cana-5240 111 8 -.95 -.95 NOUN cana-5240 111 9 0.95 0.95 NUM cana-5240 111 10 0.55 0.55 NUM cana-5240 111 11 0.0 0.0 NUM cana-5240 111 12 -.95 -.95 SYM cana-5240 111 13 -.55 -.55 PUNCT cana-5240 111 14 6.633 6.633 NUM cana-5240 111 15 4.687 4.687 NUM cana-5240 111 16 3.442 3.442 NUM cana-5240 111 17 2.591 2.591 NUM cana-5240 111 18 2.243 2.243 NUM cana-5240 111 19 53.846 53.846 NUM cana-5240 111 20 56.463 56.463 NUM cana-5240 111 21 53.616 53.616 NUM cana-5240 111 22 90.902 90.902 NUM cana-5240 111 23 44.812 44.812 NUM cana-5240 111 24 6.648 6.648 NUM cana-5240 111 25 5.388 5.388 NUM cana-5240 111 26 3.56 3.56 NUM cana-5240 111 27 2.686 2.686 NUM cana-5240 111 28 2.247 2.247 NUM cana-5240 111 29 18.864 18.864 NUM cana-5240 111 30 14.792 14.792 NUM cana-5240 111 31 14.799 14.799 NUM cana-5240 111 32 26.138 26.138 NUM cana-5240 111 33 13.082 13.082 NUM cana-5240 111 34 -.55 -.55 SYM cana-5240 111 35 0.95 0.95 NUM cana-5240 111 36 0.55 0.55 NUM cana-5240 111 37 0.0 0.0 NUM cana-5240 111 38 -.95 -.95 SYM cana-5240 111 39 -.55 -.55 PUNCT cana-5240 111 40 16.095 16.095 NUM cana-5240 111 41 13.339 13.339 NUM cana-5240 111 42 15.91 15.91 NUM cana-5240 111 43 7.796 7.796 NUM cana-5240 111 44 17.332 17.332 NUM cana-5240 111 45 61.465 61.465 NUM cana-5240 111 46 58.549 58.549 NUM cana-5240 111 47 84.222 84.222 NUM cana-5240 111 48 45.465 45.465 NUM cana-5240 111 49 88.096 88.096 NUM cana-5240 111 50 22.308 22.308 NUM cana-5240 111 51 20.043 20.043 NUM cana-5240 111 52 27.213 27.213 NUM cana-5240 111 53 12.467 12.467 NUM cana-5240 111 54 25.926 25.926 NUM cana-5240 111 55 20.596 20.596 NUM cana-5240 111 56 17.613 17.613 NUM cana-5240 111 57 21.92 21.92 NUM cana-5240 111 58 11.749 11.749 NUM cana-5240 111 59 24.841 24.841 NUM cana-5240 111 60 table table NOUN cana-5240 111 61 3 3 NUM cana-5240 111 62 : : PUNCT cana-5240 111 63 mse mse NOUN cana-5240 111 64 and and CCONJ cana-5240 111 65 pre pre NOUN cana-5240 111 66 of of ADP cana-5240 111 67 various various ADJ cana-5240 111 68 estimators estimator NOUN cana-5240 111 69 of of ADP cana-5240 111 70 ππ’€π’”π’š ππ’€π’”π’š PROPN cana-5240 111 71 for for ADP cana-5240 111 72 𝝆𝑼𝑽 𝝆𝑼𝑽 ADJ cana-5240 111 73 = = SYM cana-5240 111 74 ( ( PUNCT cana-5240 111 75 𝟎. 𝟎. NOUN cana-5240 111 76 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 111 77 , , PUNCT cana-5240 111 78 𝟎. 𝟎. X cana-5240 111 79 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 111 80 , , PUNCT cana-5240 111 81 𝟎. 𝟎. X cana-5240 111 82 𝟎 𝟎 NUM cana-5240 111 83 , , PUNCT cana-5240 111 84 βˆ’πŸŽ βˆ’πŸŽ PROPN cana-5240 111 85 , , PUNCT cana-5240 111 86 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 111 87 , , PUNCT cana-5240 111 88 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 111 89 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 111 90 ) ) PUNCT cana-5240 111 91 and and CCONJ cana-5240 111 92 𝝆𝑿𝒀 𝝆𝑿𝒀 NOUN cana-5240 111 93 = = SYM cana-5240 112 1 ( ( PUNCT cana-5240 112 2 𝟎. 𝟎. NOUN cana-5240 112 3 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 112 4 , , PUNCT cana-5240 112 5 𝟎. 𝟎. X cana-5240 112 6 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 112 7 , , PUNCT cana-5240 112 8 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 112 9 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 112 10 , , PUNCT cana-5240 112 11 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 112 12 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 112 13 ) ) PUNCT cana-5240 112 14 when when SCONJ cana-5240 112 15 ( ( PUNCT cana-5240 112 16 πˆπ‘Ό πˆπ‘Ό ADJ cana-5240 112 17 𝟐 𝟐 NUM cana-5240 112 18 , , PUNCT cana-5240 112 19 πˆπ‘½ πˆπ‘½ ADJ cana-5240 112 20 𝟐 𝟐 NUM cana-5240 112 21 ) ) PUNCT cana-5240 112 22 = = SYM cana-5240 112 23 ( ( PUNCT cana-5240 112 24 πŸ’ πŸ’ NUM cana-5240 112 25 , , PUNCT cana-5240 112 26 πŸ’ πŸ’ NUM cana-5240 112 27 ) ) PUNCT cana-5240 112 28 and and CCONJ cana-5240 112 29 ( ( PUNCT cana-5240 112 30 πˆπ’€ πˆπ’€ NOUN cana-5240 112 31 𝟐 𝟐 NUM cana-5240 112 32 , , PUNCT cana-5240 112 33 πˆπ‘Ώ πˆπ‘Ώ VERB cana-5240 112 34 𝟐 𝟐 NUM cana-5240 112 35 ) ) PUNCT cana-5240 112 36 = = PUNCT cana-5240 112 37 ( ( PUNCT cana-5240 112 38 πŸπŸ“ πŸπŸ“ NUM cana-5240 112 39 , , PUNCT cana-5240 112 40 𝟐𝟎 𝟐𝟎 NUM cana-5240 112 41 ) ) PUNCT cana-5240 112 42 and and CCONJ cana-5240 112 43 𝑡 𝑡 PROPN cana-5240 112 44 = = SYM cana-5240 112 45 𝟏𝟎𝟎𝟎 𝟏𝟎𝟎𝟎 PROPN cana-5240 112 46 and and CCONJ cana-5240 112 47 𝒏 𝒏 PROPN cana-5240 112 48 = = X cana-5240 112 49 𝟏𝟎 𝟏𝟎 PROPN cana-5240 113 1 Οƒu Οƒu ADP cana-5240 113 2 2 2 NUM cana-5240 113 3 Οƒv Οƒv NOUN cana-5240 113 4 2 2 NUM cana-5240 113 5 ρxy ρxy NOUN cana-5240 113 6 ρuv ρuv PROPN cana-5240 113 7 mse mse PROPN cana-5240 113 8 var var NOUN cana-5240 113 9 ΞΌΜ‚sym ΞΌΜ‚sym PROPN cana-5240 113 10 ΞΌΜ‚rsym ΞΌΜ‚rsym PROPN cana-5240 113 11 ΞΌΜ‚psym ΞΌΜ‚psym NUM cana-5240 114 1 yΜ…sym yΜ…sym PROPN cana-5240 114 2 4 4 NUM cana-5240 114 3 4 4 NUM cana-5240 114 4 0.95 0.95 NUM cana-5240 114 5 0.95 0.95 NUM cana-5240 114 6 0.55 0.55 NUM cana-5240 114 7 0.0 0.0 NUM cana-5240 114 8 -.95 -.95 SYM cana-5240 114 9 -.55 -.55 PUNCT cana-5240 114 10 2.353 2.353 NUM cana-5240 114 11 4.445 4.445 NUM cana-5240 114 12 7.395 7.395 NUM cana-5240 115 1 7.514 7.514 NUM cana-5240 115 2 8.056 8.056 NUM cana-5240 115 3 2.643 2.643 NUM cana-5240 115 4 4.465 4.465 NUM cana-5240 115 5 8.427 8.427 NUM cana-5240 115 6 8.225 8.225 NUM cana-5240 115 7 10.334 10.334 NUM cana-5240 115 8 77.652 77.652 NUM cana-5240 115 9 61.691 61.691 NUM cana-5240 115 10 33.187 33.187 NUM cana-5240 115 11 56.347 56.347 NUM cana-5240 115 12 22.252 22.252 NUM cana-5240 115 13 23.588 23.588 NUM cana-5240 115 14 19.296 19.296 NUM cana-5240 115 15 11.521 11.521 NUM cana-5240 115 16 16.952 16.952 NUM cana-5240 115 17 9.331 9.331 NUM cana-5240 115 18 0.55 0.55 NUM cana-5240 115 19 0.95 0.95 NUM cana-5240 115 20 0.55 0.55 NUM cana-5240 115 21 0.0 0.0 NUM cana-5240 115 22 -.95 -.95 SYM cana-5240 115 23 -.55 -.55 PUNCT cana-5240 115 24 22.598 22.598 NUM cana-5240 115 25 10.359 10.359 NUM cana-5240 115 26 19.769 19.769 NUM cana-5240 115 27 19.429 19.429 NUM cana-5240 115 28 22.739 22.739 NUM cana-5240 115 29 26.067 26.067 NUM cana-5240 115 30 12.593 12.593 NUM cana-5240 115 31 19.964 19.964 NUM cana-5240 115 32 28.441 28.441 NUM cana-5240 115 33 33.259 33.259 NUM cana-5240 115 34 94.832 94.832 NUM cana-5240 115 35 42.14 42.14 NUM cana-5240 115 36 45.97 45.97 NUM cana-5240 115 37 48.519 48.519 NUM cana-5240 115 38 62.502 62.502 NUM cana-5240 115 39 33.61 33.61 NUM cana-5240 115 40 14.65 14.65 NUM cana-5240 115 41 25.237 25.237 NUM cana-5240 115 42 20.859 20.859 NUM cana-5240 115 43 25.083 25.083 NUM cana-5240 115 44 -.95 -.95 SYM cana-5240 115 45 0.95 0.95 NUM cana-5240 115 46 0.55 0.55 NUM cana-5240 115 47 17.371 17.371 NUM cana-5240 115 48 16.009 16.009 NUM cana-5240 115 49 11.014 11.014 NUM cana-5240 115 50 62.62 62.62 NUM cana-5240 115 51 65.209 65.209 NUM cana-5240 115 52 63.253 63.253 NUM cana-5240 115 53 20.624 20.624 NUM cana-5240 115 54 18.873 18.873 NUM cana-5240 115 55 11.674 11.674 NUM cana-5240 115 56 23.431 23.431 NUM cana-5240 115 57 23.091 23.091 NUM cana-5240 115 58 21.304 21.304 NUM cana-5240 115 59 communications communication NOUN cana-5240 115 60 on on ADP cana-5240 115 61 applied apply VERB cana-5240 115 62 nonlinear nonlinear ADJ cana-5240 115 63 analysis analysis NOUN cana-5240 115 64 issn issn NOUN cana-5240 115 65 : : PUNCT cana-5240 115 66 1074 1074 NUM cana-5240 115 67 - - PUNCT cana-5240 115 68 133x 133x NUM cana-5240 115 69 vol vol VERB cana-5240 115 70 32 32 NUM cana-5240 115 71 no no NOUN cana-5240 115 72 . . PUNCT cana-5240 116 1 10s 10 NOUN cana-5240 116 2 ( ( PUNCT cana-5240 116 3 2025 2025 NUM cana-5240 116 4 ) ) PUNCT cana-5240 116 5 1396 1396 NUM cana-5240 116 6 https://internationalpubls.com https://internationalpubls.com X cana-5240 116 7 0.0 0.0 NUM cana-5240 116 8 -.95 -.95 SYM cana-5240 116 9 -.55 -.55 NUM cana-5240 116 10 1.594 1.594 NUM cana-5240 116 11 3.777 3.777 NUM cana-5240 116 12 56.864 56.864 NUM cana-5240 116 13 42.463 42.463 NUM cana-5240 116 14 1.644 1.644 NUM cana-5240 116 15 3.934 3.934 NUM cana-5240 116 16 16.255 16.255 NUM cana-5240 116 17 12.257 12.257 NUM cana-5240 116 18 -.55 -.55 SYM cana-5240 116 19 0.95 0.95 NUM cana-5240 116 20 0.55 0.55 NUM cana-5240 116 21 0.0 0.0 NUM cana-5240 116 22 -.95 -.95 SYM cana-5240 116 23 -.55 -.55 PUNCT cana-5240 116 24 20.826 20.826 NUM cana-5240 116 25 15.327 15.327 NUM cana-5240 116 26 8.238 8.238 NUM cana-5240 116 27 8.888 8.888 NUM cana-5240 116 28 12.416 12.416 NUM cana-5240 116 29 53.655 53.655 NUM cana-5240 116 30 39.353 39.353 NUM cana-5240 116 31 36.754 36.754 NUM cana-5240 116 32 53.181 53.181 NUM cana-5240 116 33 60.757 60.757 NUM cana-5240 116 34 30.339 30.339 NUM cana-5240 116 35 30.452 30.452 NUM cana-5240 116 36 15.683 15.683 NUM cana-5240 116 37 11.712 11.712 NUM cana-5240 116 38 18.679 18.679 NUM cana-5240 116 39 22.576 22.576 NUM cana-5240 116 40 15.583 15.583 NUM cana-5240 116 41 9.943 9.943 NUM cana-5240 116 42 15.076 15.076 NUM cana-5240 116 43 17.367 17.367 NUM cana-5240 116 44 table table NOUN cana-5240 116 45 4 4 NUM cana-5240 116 46 : : PUNCT cana-5240 116 47 mse mse NOUN cana-5240 116 48 and and CCONJ cana-5240 116 49 pre pre NOUN cana-5240 116 50 of of ADP cana-5240 116 51 various various ADJ cana-5240 116 52 estimators estimator NOUN cana-5240 116 53 of of ADP cana-5240 116 54 ππ’€π’”π’š ππ’€π’”π’š PROPN cana-5240 116 55 for for ADP cana-5240 116 56 𝝆𝑼𝑽 𝝆𝑼𝑽 ADJ cana-5240 116 57 = = SYM cana-5240 116 58 ( ( PUNCT cana-5240 116 59 𝟎. 𝟎. NOUN cana-5240 116 60 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 116 61 , , PUNCT cana-5240 116 62 𝟎. 𝟎. X cana-5240 116 63 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 116 64 , , PUNCT cana-5240 116 65 𝟎. 𝟎. X cana-5240 116 66 𝟎 𝟎 NUM cana-5240 116 67 , , PUNCT cana-5240 116 68 βˆ’πŸŽ βˆ’πŸŽ PROPN cana-5240 116 69 , , PUNCT cana-5240 116 70 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 116 71 , , PUNCT cana-5240 116 72 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 116 73 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 116 74 ) ) PUNCT cana-5240 116 75 and𝝆𝑿𝒀 and𝝆𝑿𝒀 NOUN cana-5240 116 76 = = SYM cana-5240 116 77 ( ( PUNCT cana-5240 116 78 𝟎. 𝟎. NOUN cana-5240 116 79 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 116 80 , , PUNCT cana-5240 116 81 𝟎. 𝟎. X cana-5240 116 82 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 116 83 , , PUNCT cana-5240 116 84 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 116 85 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 116 86 , , PUNCT cana-5240 116 87 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 116 88 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 116 89 ) ) PUNCT cana-5240 116 90 when when SCONJ cana-5240 116 91 ( ( PUNCT cana-5240 116 92 πˆπ‘Ό πˆπ‘Ό ADJ cana-5240 116 93 𝟐 𝟐 NUM cana-5240 116 94 , , PUNCT cana-5240 116 95 πˆπ‘½ πˆπ‘½ ADJ cana-5240 116 96 𝟐 𝟐 NUM cana-5240 116 97 ) ) PUNCT cana-5240 116 98 = = SYM cana-5240 116 99 ( ( PUNCT cana-5240 116 100 𝟎 𝟎 PROPN cana-5240 116 101 , , PUNCT cana-5240 116 102 𝟎 𝟎 NUM cana-5240 116 103 ) ) PUNCT cana-5240 116 104 and and CCONJ cana-5240 116 105 ( ( PUNCT cana-5240 116 106 πˆπ’€ πˆπ’€ NOUN cana-5240 116 107 𝟐 𝟐 NUM cana-5240 116 108 , , PUNCT cana-5240 116 109 πˆπ‘Ώ πˆπ‘Ώ VERB cana-5240 116 110 𝟐 𝟐 NUM cana-5240 116 111 ) ) PUNCT cana-5240 116 112 = = PUNCT cana-5240 116 113 ( ( PUNCT cana-5240 116 114 πŸπŸ“ πŸπŸ“ PROPN cana-5240 116 115 , , PUNCT cana-5240 116 116 πŸ‘πŸ“ πŸ‘πŸ“ NUM cana-5240 116 117 ) ) PUNCT cana-5240 116 118 and and CCONJ cana-5240 116 119 𝑡 𝑡 PROPN cana-5240 116 120 = = SYM cana-5240 116 121 𝟏𝟎𝟎𝟎 𝟏𝟎𝟎𝟎 PROPN cana-5240 116 122 and and CCONJ cana-5240 117 1 𝒏 𝒏 PROPN cana-5240 117 2 = = PROPN cana-5240 117 3 𝟏𝟎. 𝟏𝟎. PROPN cana-5240 117 4 Οƒu Οƒu ADP cana-5240 117 5 2 2 NUM cana-5240 117 6 Οƒv Οƒv PROPN cana-5240 117 7 2 2 NUM cana-5240 117 8 ρxy ρxy NOUN cana-5240 117 9 ρuv ρuv PROPN cana-5240 117 10 mse mse PROPN cana-5240 117 11 var var NOUN cana-5240 117 12 ΞΌΜ‚sym ΞΌΜ‚sym PROPN cana-5240 117 13 ΞΌΜ‚rsym ΞΌΜ‚rsym PROPN cana-5240 117 14 ΞΌΜ‚psym ΞΌΜ‚psym NUM cana-5240 118 1 yΜ…sym yΜ…sym PROPN cana-5240 118 2 0 0 NUM cana-5240 118 3 0 0 NUM cana-5240 118 4 .95 .95 NUM cana-5240 118 5 .95 .95 NUM cana-5240 118 6 .55 .55 NUM cana-5240 118 7 0.0 0.0 NUM cana-5240 118 8 -.95 -.95 SYM cana-5240 118 9 -.55 -.55 PUNCT cana-5240 118 10 1.99 1.99 NUM cana-5240 118 11 1.14 1.14 NUM cana-5240 118 12 3.206 3.206 NUM cana-5240 118 13 2.117 2.117 NUM cana-5240 118 14 1.752 1.752 NUM cana-5240 118 15 2.105 2.105 NUM cana-5240 118 16 1.187 1.187 NUM cana-5240 118 17 3.393 3.393 NUM cana-5240 118 18 2.202 2.202 NUM cana-5240 118 19 1.904 1.904 NUM cana-5240 118 20 81.594 81.594 NUM cana-5240 118 21 46.199 46.199 NUM cana-5240 118 22 131.50 131.50 NUM cana-5240 118 23 85.741 85.741 NUM cana-5240 118 24 73.051 73.051 NUM cana-5240 118 25 20.40 20.40 NUM cana-5240 118 26 11.69 11.69 NUM cana-5240 118 27 32.87 32.87 NUM cana-5240 118 28 21.71 21.71 NUM cana-5240 118 29 17.96 17.96 NUM cana-5240 118 30 0.55 0.55 NUM cana-5240 118 31 .95 .95 NUM cana-5240 118 32 .55 .55 NUM cana-5240 118 33 0.0 0.0 NUM cana-5240 118 34 -.95 -.95 SYM cana-5240 118 35 -.55 -.55 PUNCT cana-5240 118 36 14.18 14.18 NUM cana-5240 119 1 15.74 15.74 NUM cana-5240 119 2 18.69 18.69 NUM cana-5240 119 3 77.203 77.203 NUM cana-5240 119 4 24.151 24.151 NUM cana-5240 119 5 17.988 17.988 NUM cana-5240 119 6 19.387 19.387 NUM cana-5240 119 7 18.115 18.115 NUM cana-5240 119 8 10.442 10.442 NUM cana-5240 119 9 36.072 36.072 NUM cana-5240 119 10 61.942 61.942 NUM cana-5240 119 11 66.648 66.648 NUM cana-5240 119 12 57.044 57.044 NUM cana-5240 119 13 35.662 35.662 NUM cana-5240 119 14 122.664 122.664 NUM cana-5240 119 15 20.34 20.34 NUM cana-5240 119 16 22.56 22.56 NUM cana-5240 119 17 12.46 12.46 NUM cana-5240 119 18 34.625 34.625 NUM cana-5240 119 19 0.95 0.95 NUM cana-5240 119 20 .95 .95 NUM cana-5240 119 21 .55 .55 NUM cana-5240 119 22 0.0 0.0 NUM cana-5240 119 23 -.95 -.95 NUM cana-5240 119 24 4.102 4.102 NUM cana-5240 119 25 2.013 2.013 NUM cana-5240 119 26 1.27 1.27 NUM cana-5240 119 27 1.607 1.607 NUM cana-5240 119 28 4.866 4.866 NUM cana-5240 119 29 143.92 143.92 NUM cana-5240 119 30 671.11 671.11 NUM cana-5240 119 31 453.32 453.32 NUM cana-5240 119 32 863.693 863.693 NUM cana-5240 119 33 4.352 4.352 NUM cana-5240 119 34 2.115 2.115 NUM cana-5240 119 35 1.398 1.398 NUM cana-5240 119 36 1.634 1.634 NUM cana-5240 119 37 4.889 4.889 NUM cana-5240 119 38 42.07 42.07 NUM cana-5240 119 39 20.64 20.64 NUM cana-5240 119 40 13.02 13.02 NUM cana-5240 119 41 16.47 16.47 NUM cana-5240 119 42 communications communication NOUN cana-5240 119 43 on on ADP cana-5240 119 44 applied apply VERB cana-5240 119 45 nonlinear nonlinear ADJ cana-5240 119 46 analysis analysis NOUN cana-5240 119 47 issn issn NOUN cana-5240 119 48 : : PUNCT cana-5240 119 49 1074 1074 NUM cana-5240 119 50 - - PUNCT cana-5240 119 51 133x 133x NUM cana-5240 119 52 vol vol VERB cana-5240 119 53 32 32 NUM cana-5240 119 54 no no NOUN cana-5240 119 55 . . PUNCT cana-5240 120 1 10s 10 NOUN cana-5240 120 2 ( ( PUNCT cana-5240 120 3 2025 2025 NUM cana-5240 120 4 ) ) PUNCT cana-5240 120 5 1397 1397 NUM cana-5240 120 6 https://internationalpubls.com https://internationalpubls.com X cana-5240 120 7 -.55 -.55 PUNCT cana-5240 120 8 189.115 189.115 NUM cana-5240 120 9 49.90 49.90 NUM cana-5240 120 10 -.55 -.55 SYM cana-5240 120 11 .95 .95 NUM cana-5240 120 12 .55 .55 NUM cana-5240 120 13 0.0 0.0 NUM cana-5240 120 14 -.95 -.95 SYM cana-5240 120 15 -.55 -.55 PUNCT cana-5240 120 16 8.069 8.069 NUM cana-5240 120 17 14.068 14.068 NUM cana-5240 120 18 7.148 7.148 NUM cana-5240 120 19 24.73 24.73 NUM cana-5240 120 20 8.322 8.322 NUM cana-5240 120 21 37.133 37.133 NUM cana-5240 120 22 52.502 52.502 NUM cana-5240 120 23 51.253 51.253 NUM cana-5240 121 1 107.91 107.91 NUM cana-5240 121 2 644.93 644.93 NUM cana-5240 121 3 10.791 10.791 NUM cana-5240 121 4 15.654 15.654 NUM cana-5240 121 5 16.881 16.881 NUM cana-5240 121 6 31.339 31.339 NUM cana-5240 121 7 13.389 13.389 NUM cana-5240 121 8 11.56 11.56 NUM cana-5240 121 9 20.16 20.16 NUM cana-5240 121 10 10.24 10.24 NUM cana-5240 121 11 35.45 35.45 NUM cana-5240 121 12 11.93 11.93 NUM cana-5240 121 13 table table NOUN cana-5240 121 14 5 5 NUM cana-5240 121 15 : : PUNCT cana-5240 121 16 mse mse NOUN cana-5240 121 17 and and CCONJ cana-5240 121 18 pre pre NOUN cana-5240 121 19 of of ADP cana-5240 121 20 various various ADJ cana-5240 121 21 estimators estimator NOUN cana-5240 121 22 of of ADP cana-5240 121 23 ππ’€π’”π’š ππ’€π’”π’š PROPN cana-5240 121 24 for for ADP cana-5240 121 25 𝝆𝑼𝑽 𝝆𝑼𝑽 ADJ cana-5240 121 26 = = SYM cana-5240 121 27 ( ( PUNCT cana-5240 121 28 𝟎. 𝟎. NOUN cana-5240 121 29 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 121 30 , , PUNCT cana-5240 121 31 𝟎. 𝟎. X cana-5240 121 32 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 121 33 , , PUNCT cana-5240 121 34 𝟎. 𝟎. X cana-5240 121 35 𝟎 𝟎 NUM cana-5240 121 36 , , PUNCT cana-5240 121 37 βˆ’πŸŽ βˆ’πŸŽ PROPN cana-5240 121 38 , , PUNCT cana-5240 121 39 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 121 40 , , PUNCT cana-5240 121 41 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 121 42 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 121 43 ) ) PUNCT cana-5240 121 44 and and CCONJ cana-5240 121 45 𝝆𝑿𝒀 𝝆𝑿𝒀 NOUN cana-5240 121 46 = = SYM cana-5240 122 1 ( ( PUNCT cana-5240 122 2 𝟎. 𝟎. NOUN cana-5240 122 3 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 122 4 , , PUNCT cana-5240 122 5 𝟎. 𝟎. X cana-5240 122 6 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 122 7 , , PUNCT cana-5240 122 8 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 122 9 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 122 10 , , PUNCT cana-5240 122 11 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 122 12 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 122 13 ) ) PUNCT cana-5240 122 14 when when SCONJ cana-5240 122 15 ( ( PUNCT cana-5240 122 16 πˆπ‘Ό πˆπ‘Ό ADJ cana-5240 122 17 𝟐 𝟐 NUM cana-5240 122 18 , , PUNCT cana-5240 122 19 πˆπ‘½ πˆπ‘½ ADJ cana-5240 122 20 𝟐 𝟐 NUM cana-5240 122 21 ) ) PUNCT cana-5240 122 22 = = NOUN cana-5240 122 23 ( ( PUNCT cana-5240 122 24 𝟐 𝟐 PROPN cana-5240 122 25 , , PUNCT cana-5240 122 26 𝟐 𝟐 NUM cana-5240 122 27 ) ) PUNCT cana-5240 122 28 and and CCONJ cana-5240 122 29 ( ( PUNCT cana-5240 122 30 πˆπ’€ πˆπ’€ NOUN cana-5240 122 31 𝟐 𝟐 NUM cana-5240 122 32 , , PUNCT cana-5240 122 33 πˆπ‘Ώ πˆπ‘Ώ VERB cana-5240 122 34 𝟐 𝟐 NUM cana-5240 122 35 ) ) PUNCT cana-5240 122 36 = = PUNCT cana-5240 123 1 ( ( PUNCT cana-5240 123 2 πŸπŸ“ πŸπŸ“ PROPN cana-5240 123 3 , , PUNCT cana-5240 123 4 πŸ‘πŸ“ πŸ‘πŸ“ NUM cana-5240 123 5 ) ) PUNCT cana-5240 123 6 and and CCONJ cana-5240 123 7 𝑡 𝑡 PROPN cana-5240 123 8 = = SYM cana-5240 123 9 𝟏𝟎𝟎𝟎 𝟏𝟎𝟎𝟎 PROPN cana-5240 123 10 and and CCONJ cana-5240 123 11 𝒏 𝒏 PROPN cana-5240 123 12 = = PROPN cana-5240 123 13 𝟏𝟎. 𝟏𝟎. PROPN cana-5240 123 14 Οƒu Οƒu ADP cana-5240 123 15 2 2 NUM cana-5240 123 16 Οƒv Οƒv PROPN cana-5240 123 17 2 2 NUM cana-5240 123 18 ρxy ρxy NOUN cana-5240 123 19 ρuv ρuv PROPN cana-5240 123 20 mse mse PROPN cana-5240 123 21 var var NOUN cana-5240 124 1 ΞΌΜ‚sym ΞΌΜ‚sym PROPN cana-5240 124 2 ΞΌΜ‚rsym ΞΌΜ‚rsym PROPN cana-5240 124 3 ΞΌΜ‚psym ΞΌΜ‚psym NUM cana-5240 125 1 yΜ…sym yΜ…sym NOUN cana-5240 125 2 2 2 NUM cana-5240 125 3 2 2 NUM cana-5240 125 4 0.95 0.95 NUM cana-5240 125 5 0.95 0.95 NUM cana-5240 125 6 0.55 0.55 NUM cana-5240 125 7 0.0 0.0 NUM cana-5240 125 8 -.95 -.95 SYM cana-5240 125 9 -.55 -.55 PUNCT cana-5240 125 10 1.987 1.987 NUM cana-5240 125 11 4.224 4.224 NUM cana-5240 125 12 6.209 6.209 NUM cana-5240 125 13 8.832 8.832 NUM cana-5240 125 14 5.389 5.389 NUM cana-5240 125 15 2.298 2.298 NUM cana-5240 125 16 4.474 4.474 NUM cana-5240 125 17 6.763 6.763 NUM cana-5240 125 18 8.997 8.997 NUM cana-5240 125 19 7.071 7.071 NUM cana-5240 125 20 85.301 85.301 NUM cana-5240 125 21 78.166 78.166 NUM cana-5240 125 22 121.738 121.738 NUM cana-5240 125 23 127.646 127.646 NUM cana-5240 125 24 108.037 108.037 NUM cana-5240 125 25 20.348 20.348 NUM cana-5240 125 26 24.923 24.923 NUM cana-5240 125 27 31.228 31.228 NUM cana-5240 125 28 40.796 40.796 NUM cana-5240 125 29 24.903 24.903 NUM cana-5240 125 30 0.55 0.55 NUM cana-5240 125 31 0.95 0.95 NUM cana-5240 125 32 0.55 0.55 NUM cana-5240 125 33 0.0 0.0 NUM cana-5240 125 34 -.95 -.95 SYM cana-5240 125 35 -.55 -.55 PUNCT cana-5240 125 36 6.515 6.515 NUM cana-5240 125 37 12.925 12.925 NUM cana-5240 125 38 5.413 5.413 NUM cana-5240 125 39 13.497 13.497 NUM cana-5240 125 40 23.983 23.983 NUM cana-5240 125 41 12.478 12.478 NUM cana-5240 125 42 14.524 14.524 NUM cana-5240 125 43 11.423 11.423 NUM cana-5240 126 1 33.11 33.11 NUM cana-5240 126 2 26.047 26.047 NUM cana-5240 126 3 44.475 44.475 NUM cana-5240 126 4 48.501 48.501 NUM cana-5240 126 5 33.232 33.232 NUM cana-5240 126 6 80.573 80.573 NUM cana-5240 126 7 54.299 54.299 NUM cana-5240 126 8 9.974 9.974 NUM cana-5240 126 9 18.447 18.447 NUM cana-5240 126 10 7.405 7.405 NUM cana-5240 126 11 17.034 17.034 NUM cana-5240 126 12 28.124 28.124 NUM cana-5240 126 13 -.95 -.95 SYM cana-5240 126 14 0.95 0.95 NUM cana-5240 126 15 0.55 0.55 NUM cana-5240 126 16 0.0 0.0 NUM cana-5240 126 17 -.95 -.95 SYM cana-5240 126 18 -.55 -.55 PUNCT cana-5240 126 19 10.439 10.439 NUM cana-5240 126 20 7.815 7.815 NUM cana-5240 126 21 6.019 6.019 NUM cana-5240 126 22 2.819 2.819 NUM cana-5240 126 23 5.886 5.886 NUM cana-5240 126 24 85.623 85.623 NUM cana-5240 126 25 144.45 144.45 NUM cana-5240 126 26 103.521 103.521 NUM cana-5240 126 27 119.038 119.038 NUM cana-5240 126 28 160.013 160.013 NUM cana-5240 126 29 10.506 10.506 NUM cana-5240 126 30 8.982 8.982 NUM cana-5240 126 31 6.103 6.103 NUM cana-5240 126 32 3.808 3.808 NUM cana-5240 126 33 5.886 5.886 NUM cana-5240 126 34 30.379 30.379 NUM cana-5240 126 35 35.953 35.953 NUM cana-5240 126 36 28.986 28.986 NUM cana-5240 126 37 26.76 26.76 NUM cana-5240 126 38 44.336 44.336 NUM cana-5240 126 39 communications communication NOUN cana-5240 126 40 on on ADP cana-5240 126 41 applied apply VERB cana-5240 126 42 nonlinear nonlinear ADJ cana-5240 126 43 analysis analysis NOUN cana-5240 126 44 issn issn NOUN cana-5240 126 45 : : PUNCT cana-5240 126 46 1074 1074 NUM cana-5240 126 47 - - PUNCT cana-5240 126 48 133x 133x NUM cana-5240 126 49 vol vol VERB cana-5240 126 50 32 32 NUM cana-5240 126 51 no no NOUN cana-5240 126 52 . . PUNCT cana-5240 127 1 10s 10 NOUN cana-5240 127 2 ( ( PUNCT cana-5240 127 3 2025 2025 NUM cana-5240 127 4 ) ) PUNCT cana-5240 127 5 1398 1398 NUM cana-5240 127 6 https://internationalpubls.com https://internationalpubls.com X cana-5240 127 7 -.55 -.55 PUNCT cana-5240 127 8 0.95 0.95 NUM cana-5240 127 9 0.55 0.55 NUM cana-5240 127 10 0.0 0.0 NUM cana-5240 127 11 -.95 -.95 SYM cana-5240 127 12 -.55 -.55 ADP cana-5240 127 13 12.365 12.365 NUM cana-5240 127 14 22.751 22.751 NUM cana-5240 127 15 13.301 13.301 NUM cana-5240 127 16 18.897 18.897 NUM cana-5240 127 17 22.275 22.275 NUM cana-5240 127 18 40.978 40.978 NUM cana-5240 127 19 84.452 84.452 NUM cana-5240 127 20 53.519 53.519 NUM cana-5240 127 21 82.443 82.443 NUM cana-5240 127 22 74.537 74.537 NUM cana-5240 127 23 21.946 21.946 NUM cana-5240 127 24 27.465 27.465 NUM cana-5240 127 25 17.381 17.381 NUM cana-5240 127 26 22.246 22.246 NUM cana-5240 127 27 23.301 23.301 NUM cana-5240 127 28 13.634 13.634 NUM cana-5240 127 29 30.828 30.828 NUM cana-5240 127 30 17.971 17.971 NUM cana-5240 127 31 28.326 28.326 NUM cana-5240 127 32 31.935 31.935 NUM cana-5240 127 33 table table NOUN cana-5240 127 34 6 6 NUM cana-5240 127 35 : : PUNCT cana-5240 127 36 mse mse NOUN cana-5240 127 37 and and CCONJ cana-5240 127 38 pre pre NOUN cana-5240 127 39 of of ADP cana-5240 127 40 various various ADJ cana-5240 127 41 estimators estimator NOUN cana-5240 127 42 of of ADP cana-5240 127 43 ππ’€π’”π’š ππ’€π’”π’š PROPN cana-5240 127 44 for for ADP cana-5240 127 45 𝝆𝑼𝑽 𝝆𝑼𝑽 ADJ cana-5240 127 46 = = SYM cana-5240 127 47 ( ( PUNCT cana-5240 127 48 𝟎. 𝟎. NOUN cana-5240 127 49 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 127 50 , , PUNCT cana-5240 127 51 𝟎. 𝟎. X cana-5240 127 52 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 127 53 , , PUNCT cana-5240 127 54 𝟎. 𝟎. X cana-5240 127 55 𝟎 𝟎 NUM cana-5240 127 56 , , PUNCT cana-5240 127 57 βˆ’πŸŽ βˆ’πŸŽ PROPN cana-5240 127 58 , , PUNCT cana-5240 127 59 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 127 60 , , PUNCT cana-5240 127 61 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 127 62 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 127 63 ) ) PUNCT cana-5240 127 64 and and CCONJ cana-5240 127 65 𝝆𝑿𝒀 𝝆𝑿𝒀 NOUN cana-5240 127 66 = = SYM cana-5240 128 1 ( ( PUNCT cana-5240 128 2 𝟎. 𝟎. NOUN cana-5240 128 3 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 128 4 , , PUNCT cana-5240 128 5 𝟎. 𝟎. X cana-5240 128 6 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 128 7 , , PUNCT cana-5240 128 8 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 128 9 πŸ—πŸ“ πŸ—πŸ“ NUM cana-5240 128 10 , , PUNCT cana-5240 128 11 βˆ’πŸŽ. βˆ’πŸŽ. PRON cana-5240 128 12 πŸ“πŸ“ πŸ“πŸ“ NUM cana-5240 128 13 ) ) PUNCT cana-5240 128 14 when when SCONJ cana-5240 128 15 ( ( PUNCT cana-5240 128 16 πˆπ‘Ό πˆπ‘Ό ADJ cana-5240 128 17 𝟐 𝟐 NUM cana-5240 128 18 , , PUNCT cana-5240 128 19 πˆπ‘½ πˆπ‘½ ADJ cana-5240 128 20 𝟐 𝟐 NUM cana-5240 128 21 ) ) PUNCT cana-5240 128 22 = = SYM cana-5240 128 23 ( ( PUNCT cana-5240 128 24 πŸ’ πŸ’ NUM cana-5240 128 25 , , PUNCT cana-5240 128 26 πŸ’ πŸ’ NUM cana-5240 128 27 ) ) PUNCT cana-5240 128 28 and and CCONJ cana-5240 128 29 ( ( PUNCT cana-5240 128 30 πˆπ’€ πˆπ’€ NOUN cana-5240 128 31 𝟐 𝟐 NUM cana-5240 128 32 , , PUNCT cana-5240 128 33 πˆπ‘Ώ πˆπ‘Ώ VERB cana-5240 128 34 𝟐 𝟐 NUM cana-5240 128 35 ) ) PUNCT cana-5240 128 36 = = PUNCT cana-5240 129 1 ( ( PUNCT cana-5240 129 2 πŸπŸ“ πŸπŸ“ PROPN cana-5240 129 3 , , PUNCT cana-5240 129 4 πŸ‘πŸ“ πŸ‘πŸ“ NUM cana-5240 129 5 ) ) PUNCT cana-5240 129 6 and and CCONJ cana-5240 129 7 𝑡 𝑡 PROPN cana-5240 129 8 = = SYM cana-5240 129 9 𝟏𝟎𝟎𝟎 𝟏𝟎𝟎𝟎 PROPN cana-5240 129 10 and and CCONJ cana-5240 129 11 𝒏 𝒏 PROPN cana-5240 129 12 = = PROPN cana-5240 129 13 𝟏𝟎. 𝟏𝟎. PROPN cana-5240 129 14 Οƒu Οƒu ADP cana-5240 129 15 2 2 NUM cana-5240 129 16 Οƒv Οƒv PROPN cana-5240 129 17 2 2 NUM cana-5240 129 18 ρxy ρxy NOUN cana-5240 129 19 ρuv ρuv PROPN cana-5240 129 20 mse mse PROPN cana-5240 129 21 var var NOUN cana-5240 130 1 ΞΌΜ‚sym ΞΌΜ‚sym PROPN cana-5240 130 2 ΞΌΜ‚rsym ΞΌΜ‚rsym PROPN cana-5240 130 3 ΞΌΜ‚psym ΞΌΜ‚psym NUM cana-5240 131 1 yΜ…sym yΜ…sym PROPN cana-5240 131 2 4 4 NUM cana-5240 131 3 4 4 NUM cana-5240 131 4 0.95 0.95 NUM cana-5240 131 5 0.95 0.95 NUM cana-5240 131 6 0.55 0.55 NUM cana-5240 131 7 0.0 0.0 NUM cana-5240 131 8 -.95 -.95 SYM cana-5240 131 9 -.55 -.55 PUNCT cana-5240 131 10 2.179 2.179 NUM cana-5240 131 11 2.738 2.738 NUM cana-5240 131 12 14.226 14.226 NUM cana-5240 131 13 14.163 14.163 NUM cana-5240 131 14 13.767 13.767 NUM cana-5240 131 15 2.191 2.191 NUM cana-5240 131 16 3.255 3.255 NUM cana-5240 131 17 15.702 15.702 NUM cana-5240 131 18 17.719 17.719 NUM cana-5240 131 19 15.059 15.059 NUM cana-5240 131 20 79.529 79.529 NUM cana-5240 131 21 48.267 48.267 NUM cana-5240 131 22 153.798 153.798 NUM cana-5240 131 23 55.637 55.637 NUM cana-5240 132 1 61.066 61.066 NUM cana-5240 132 2 21.996 21.996 NUM cana-5240 132 3 11.824 11.824 NUM cana-5240 132 4 42.31 42.31 NUM cana-5240 132 5 19.349 19.349 NUM cana-5240 132 6 22.006 22.006 NUM cana-5240 132 7 0.55 0.55 NUM cana-5240 132 8 0.95 0.95 NUM cana-5240 132 9 0.55 0.55 NUM cana-5240 132 10 0.0 0.0 NUM cana-5240 132 11 -.95 -.95 SYM cana-5240 132 12 -.55 -.55 PUNCT cana-5240 132 13 23.383 23.383 NUM cana-5240 132 14 20.011 20.011 NUM cana-5240 132 15 26.354 26.354 NUM cana-5240 132 16 31.146 31.146 NUM cana-5240 132 17 14.102 14.102 NUM cana-5240 132 18 34.379 34.379 NUM cana-5240 132 19 24.771 24.771 NUM cana-5240 132 20 32.019 32.019 NUM cana-5240 132 21 40.656 40.656 NUM cana-5240 132 22 22.02 22.02 NUM cana-5240 132 23 130.356 130.356 NUM cana-5240 132 24 84.505 84.505 NUM cana-5240 132 25 92.99 92.99 NUM cana-5240 132 26 83.963 83.963 NUM cana-5240 132 27 48.613 48.613 NUM cana-5240 132 28 35.727 35.727 NUM cana-5240 132 29 28.564 28.564 NUM cana-5240 132 30 34.714 34.714 NUM cana-5240 132 31 35.522 35.522 NUM cana-5240 132 32 16.444 16.444 NUM cana-5240 132 33 -0.95 -0.95 NUM cana-5240 132 34 0.95 0.95 NUM cana-5240 132 35 0.55 0.55 NUM cana-5240 132 36 0.0 0.0 NUM cana-5240 132 37 -.95 -.95 SYM cana-5240 132 38 -.55 -.55 PUNCT cana-5240 132 39 15.811 15.811 NUM cana-5240 132 40 11.338 11.338 NUM cana-5240 132 41 5.359 5.359 NUM cana-5240 132 42 2.522 2.522 NUM cana-5240 132 43 4.189 4.189 NUM cana-5240 132 44 58.113 58.113 NUM cana-5240 132 45 79.016 79.016 NUM cana-5240 132 46 74.701 74.701 NUM cana-5240 132 47 82.203 82.203 NUM cana-5240 132 48 101.412 101.412 NUM cana-5240 132 49 18.213 18.213 NUM cana-5240 132 50 12.265 12.265 NUM cana-5240 132 51 6.132 6.132 NUM cana-5240 132 52 3.128 3.128 NUM cana-5240 132 53 4.311 4.311 NUM cana-5240 132 54 21.947 21.947 NUM cana-5240 133 1 24.529 24.529 NUM cana-5240 133 2 19.226 19.226 NUM cana-5240 133 3 19.12 19.12 NUM cana-5240 133 4 26.803 26.803 NUM cana-5240 133 5 -0.55 -0.55 NUM cana-5240 133 6 0.95 0.95 NUM cana-5240 133 7 0.55 0.55 NUM cana-5240 133 8 0.0 0.0 NUM cana-5240 133 9 -.95 -.95 SYM cana-5240 133 10 -.55 -.55 PUNCT cana-5240 133 11 17.646 17.646 NUM cana-5240 133 12 14.695 14.695 NUM cana-5240 133 13 17.007 17.007 NUM cana-5240 133 14 19.215 19.215 NUM cana-5240 133 15 8.308 8.308 NUM cana-5240 133 16 62.357 62.357 NUM cana-5240 133 17 70.549 70.549 NUM cana-5240 133 18 70.806 70.806 NUM cana-5240 133 19 113.737 113.737 NUM cana-5240 133 20 54.996 54.996 NUM cana-5240 133 21 39.282 39.282 NUM cana-5240 133 22 28.031 28.031 NUM cana-5240 133 23 22.684 22.684 NUM cana-5240 133 24 29.443 29.443 NUM cana-5240 133 25 19.39 19.39 NUM cana-5240 133 26 18.682 18.682 NUM cana-5240 133 27 18.347 18.347 NUM cana-5240 133 28 23.137 23.137 NUM cana-5240 133 29 29.856 29.856 NUM cana-5240 133 30 11.378 11.378 NUM cana-5240 133 31 communications communication NOUN cana-5240 133 32 on on ADP cana-5240 133 33 applied apply VERB cana-5240 133 34 nonlinear nonlinear ADJ cana-5240 133 35 analysis analysis NOUN cana-5240 133 36 issn issn NOUN cana-5240 133 37 : : PUNCT cana-5240 133 38 1074 1074 NUM cana-5240 133 39 - - PUNCT cana-5240 133 40 133x 133x NUM cana-5240 133 41 vol vol VERB cana-5240 133 42 32 32 NUM cana-5240 133 43 no no NOUN cana-5240 133 44 . . PUNCT cana-5240 134 1 10s 10 NOUN cana-5240 134 2 ( ( PUNCT cana-5240 134 3 2025 2025 NUM cana-5240 134 4 ) ) PUNCT cana-5240 134 5 1399 1399 NUM cana-5240 134 6 https://internationalpubls.com https://internationalpubls.com X cana-5240 134 7 results result VERB cana-5240 134 8 from from ADP cana-5240 134 9 the the DET cana-5240 134 10 tables table NOUN cana-5240 134 11 : : PUNCT cana-5240 134 12 from from ADP cana-5240 134 13 the the DET cana-5240 134 14 table table NOUN cana-5240 134 15 1 1 NUM cana-5240 134 16 for for ADP cana-5240 134 17 πœŒπ‘‹π‘Œ πœŒπ‘‹π‘Œ ADV cana-5240 134 18 = = SYM cana-5240 134 19 0.95 0.95 NUM cana-5240 134 20 and and CCONJ cana-5240 134 21 πœŒπ‘ˆπ‘‰ πœŒπ‘ˆπ‘‰ NUM cana-5240 134 22 = = X cana-5240 134 23 ( ( PUNCT cana-5240 134 24 0.95 0.95 NUM cana-5240 134 25 , , PUNCT cana-5240 134 26 0.55 0.55 NUM cana-5240 134 27 , , PUNCT cana-5240 134 28 0.0 0.0 NUM cana-5240 134 29 , , PUNCT cana-5240 134 30 βˆ’0.95 βˆ’0.95 ADJ cana-5240 134 31 , , PUNCT cana-5240 134 32 βˆ’0.55 βˆ’0.55 NOUN cana-5240 134 33 ) ) PUNCT cana-5240 134 34 as as ADP cana-5240 134 35 the the DET cana-5240 134 36 correlation correlation NOUN cana-5240 134 37 between between ADP cana-5240 134 38 the the DET cana-5240 134 39 study study NOUN cana-5240 134 40 variable variable NOUN cana-5240 134 41 π‘Œ π‘Œ PROPN cana-5240 134 42 and and CCONJ cana-5240 134 43 auxiliary auxiliary ADJ cana-5240 134 44 variable variable NOUN cana-5240 134 45 𝑋 𝑋 PROPN cana-5240 134 46 is be AUX cana-5240 134 47 positively positively ADV cana-5240 134 48 correlated correlate VERB cana-5240 134 49 the the DET cana-5240 134 50 ratio ratio NOUN cana-5240 134 51 estimator estimator NOUN cana-5240 134 52 performs perform VERB cana-5240 134 53 well well ADV cana-5240 134 54 . . PUNCT cana-5240 135 1 as as SCONJ cana-5240 135 2 observed observe VERB cana-5240 135 3 from from ADP cana-5240 135 4 the the DET cana-5240 135 5 table table NOUN cana-5240 135 6 when when SCONJ cana-5240 135 7 πœŒπ‘‹π‘Œ πœŒπ‘‹π‘Œ ADV cana-5240 135 8 = = SYM cana-5240 135 9 0.95 0.95 NUM cana-5240 135 10 the the DET cana-5240 135 11 mse mse NOUN cana-5240 135 12 of of ADP cana-5240 135 13 the the DET cana-5240 135 14 ratio ratio NOUN cana-5240 135 15 estimator estimator NOUN cana-5240 135 16 is be AUX cana-5240 135 17 very very ADV cana-5240 135 18 less less ADV cana-5240 135 19 as as ADP cana-5240 135 20 compared compare VERB cana-5240 135 21 to to ADP cana-5240 135 22 the the DET cana-5240 135 23 mse mse NOUN cana-5240 135 24 of of ADP cana-5240 135 25 product product NOUN cana-5240 135 26 estimator estimator NOUN cana-5240 135 27 but but CCONJ cana-5240 135 28 the the DET cana-5240 135 29 mean mean ADJ cana-5240 135 30 square square ADJ cana-5240 135 31 error error NOUN cana-5240 135 32 for for ADP cana-5240 135 33 the the DET cana-5240 135 34 proposed propose VERB cana-5240 135 35 class class NOUN cana-5240 135 36 of of ADP cana-5240 135 37 estimators estimator NOUN cana-5240 135 38 is be AUX cana-5240 135 39 less less ADJ cana-5240 135 40 than than ADP cana-5240 135 41 that that PRON cana-5240 135 42 of of ADP cana-5240 135 43 the the DET cana-5240 135 44 ratio ratio NOUN cana-5240 135 45 estimator estimator NOUN cana-5240 135 46 . . PUNCT cana-5240 136 1 from from ADP cana-5240 136 2 the the DET cana-5240 136 3 table table NOUN cana-5240 136 4 1 1 NUM cana-5240 136 5 , , PUNCT cana-5240 136 6 for for ADP cana-5240 136 7 πœŒπ‘‹π‘Œ πœŒπ‘‹π‘Œ ADV cana-5240 136 8 = = NUM cana-5240 136 9 0.55 0.55 NUM cana-5240 136 10 and and CCONJ cana-5240 136 11 πœŒπ‘ˆπ‘‰ πœŒπ‘ˆπ‘‰ NUM cana-5240 136 12 = = X cana-5240 136 13 ( ( PUNCT cana-5240 136 14 0.95 0.95 NUM cana-5240 136 15 , , PUNCT cana-5240 136 16 0.55 0.55 NUM cana-5240 136 17 , , PUNCT cana-5240 136 18 0.0 0.0 NUM cana-5240 136 19 , , PUNCT cana-5240 136 20 βˆ’0.95 βˆ’0.95 ADJ cana-5240 136 21 , , PUNCT cana-5240 136 22 βˆ’0.55 βˆ’0.55 NOUN cana-5240 136 23 ) ) PUNCT cana-5240 136 24 as as ADP cana-5240 136 25 the the DET cana-5240 136 26 correlation correlation NOUN cana-5240 136 27 between between ADP cana-5240 136 28 the the DET cana-5240 136 29 study study NOUN cana-5240 136 30 variable variable NOUN cana-5240 136 31 π‘Œ π‘Œ PROPN cana-5240 136 32 and and CCONJ cana-5240 136 33 auxiliary auxiliary ADJ cana-5240 136 34 variable variable NOUN cana-5240 136 35 𝑋 𝑋 PROPN cana-5240 136 36 is be AUX cana-5240 136 37 positively positively ADV cana-5240 136 38 correlated correlate VERB cana-5240 136 39 the the DET cana-5240 136 40 ratio ratio NOUN cana-5240 136 41 estimator estimator NOUN cana-5240 136 42 performs perform VERB cana-5240 136 43 well well ADV cana-5240 136 44 . . PUNCT cana-5240 137 1 as as SCONJ cana-5240 137 2 observed observe VERB cana-5240 137 3 from from ADP cana-5240 137 4 the the DET cana-5240 137 5 table table NOUN cana-5240 137 6 when when SCONJ cana-5240 137 7 πœŒπ‘‹π‘Œ πœŒπ‘‹π‘Œ ADV cana-5240 137 8 = = NUM cana-5240 137 9 0.55 0.55 NUM cana-5240 137 10 the the DET cana-5240 137 11 mse mse NOUN cana-5240 137 12 of of ADP cana-5240 137 13 the the DET cana-5240 137 14 ratio ratio NOUN cana-5240 137 15 estimator estimator NOUN cana-5240 137 16 is be AUX cana-5240 137 17 very very ADV cana-5240 137 18 less less ADV cana-5240 137 19 as as ADP cana-5240 137 20 compared compare VERB cana-5240 137 21 to to ADP cana-5240 137 22 the the DET cana-5240 137 23 product product NOUN cana-5240 137 24 estimator estimator NOUN cana-5240 137 25 but but CCONJ cana-5240 137 26 the the DET cana-5240 137 27 mse mse NOUN cana-5240 137 28 for for ADP cana-5240 137 29 the the DET cana-5240 137 30 proposed propose VERB cana-5240 137 31 class class NOUN cana-5240 137 32 of of ADP cana-5240 137 33 estimators estimator NOUN cana-5240 137 34 is be AUX cana-5240 137 35 less less ADJ cana-5240 137 36 than than ADP cana-5240 137 37 that that PRON cana-5240 137 38 of of ADP cana-5240 137 39 the the DET cana-5240 137 40 ratio ratio NOUN cana-5240 137 41 estimator estimator NOUN cana-5240 137 42 . . PUNCT cana-5240 138 1 from from ADP cana-5240 138 2 the the DET cana-5240 138 3 table table NOUN cana-5240 138 4 1 1 NUM cana-5240 138 5 for for ADP cana-5240 138 6 πœŒπ‘‹π‘Œ πœŒπ‘‹π‘Œ ADV cana-5240 138 7 = = SYM cana-5240 139 1 βˆ’0.95 βˆ’0.95 PROPN cana-5240 139 2 and and CCONJ cana-5240 139 3 πœŒπ‘ˆπ‘‰ πœŒπ‘ˆπ‘‰ NUM cana-5240 139 4 = = X cana-5240 139 5 ( ( PUNCT cana-5240 139 6 0.95 0.95 NUM cana-5240 139 7 , , PUNCT cana-5240 139 8 0.55 0.55 NUM cana-5240 139 9 , , PUNCT cana-5240 139 10 0.0 0.0 NUM cana-5240 139 11 , , PUNCT cana-5240 139 12 βˆ’0.95 βˆ’0.95 ADJ cana-5240 139 13 , , PUNCT cana-5240 139 14 βˆ’0.55 βˆ’0.55 NOUN cana-5240 139 15 ) ) PUNCT cana-5240 139 16 as as ADP cana-5240 139 17 the the DET cana-5240 139 18 correlation correlation NOUN cana-5240 139 19 between between ADP cana-5240 139 20 the the DET cana-5240 139 21 study study NOUN cana-5240 139 22 variable variable NOUN cana-5240 139 23 π‘Œ π‘Œ PROPN cana-5240 139 24 and and CCONJ cana-5240 139 25 auxiliary auxiliary ADJ cana-5240 139 26 variable variable NOUN cana-5240 139 27 𝑋 𝑋 PROPN cana-5240 139 28 is be AUX cana-5240 139 29 negatively negatively ADV cana-5240 139 30 correlated correlate VERB cana-5240 139 31 the the DET cana-5240 139 32 product product NOUN cana-5240 139 33 estimator estimator NOUN cana-5240 139 34 performs perform VERB cana-5240 139 35 well well ADV cana-5240 139 36 . . PUNCT cana-5240 140 1 as as SCONJ cana-5240 140 2 observed observe VERB cana-5240 140 3 from from ADP cana-5240 140 4 the the DET cana-5240 140 5 table table NOUN cana-5240 140 6 when when SCONJ cana-5240 140 7 πœŒπ‘‹π‘Œ πœŒπ‘‹π‘Œ ADV cana-5240 140 8 = = SYM cana-5240 141 1 βˆ’0.95 βˆ’0.95 INTJ cana-5240 141 2 the the DET cana-5240 141 3 mean mean ADJ cana-5240 141 4 square square ADJ cana-5240 141 5 error error NOUN cana-5240 141 6 of of ADP cana-5240 141 7 the the DET cana-5240 141 8 product product NOUN cana-5240 141 9 estimator estimator NOUN cana-5240 141 10 is be AUX cana-5240 141 11 very very ADV cana-5240 141 12 less less ADV cana-5240 141 13 as as SCONJ cana-5240 141 14 compared compare VERB cana-5240 141 15 to to ADP cana-5240 141 16 mse mse PROPN cana-5240 141 17 of of ADP cana-5240 141 18 the the DET cana-5240 141 19 ratio ratio NOUN cana-5240 141 20 estimator estimator NOUN cana-5240 141 21 but but CCONJ cana-5240 141 22 the the DET cana-5240 141 23 mse mse NOUN cana-5240 141 24 for for ADP cana-5240 141 25 the the DET cana-5240 141 26 proposed propose VERB cana-5240 141 27 class class NOUN cana-5240 141 28 of of ADP cana-5240 141 29 estimators estimator NOUN cana-5240 141 30 is be AUX cana-5240 141 31 less less ADJ cana-5240 141 32 than than ADP cana-5240 141 33 that that PRON cana-5240 141 34 of of ADP cana-5240 141 35 the the DET cana-5240 141 36 product product NOUN cana-5240 141 37 estimator estimator NOUN cana-5240 141 38 . . PUNCT cana-5240 142 1 from from ADP cana-5240 142 2 the the DET cana-5240 142 3 table table NOUN cana-5240 142 4 1 1 NUM cana-5240 142 5 for for ADP cana-5240 142 6 πœŒπ‘‹π‘Œ πœŒπ‘‹π‘Œ ADV cana-5240 142 7 = = SYM cana-5240 142 8 βˆ’0.55 βˆ’0.55 NOUN cana-5240 142 9 and and CCONJ cana-5240 142 10 πœŒπ‘ˆπ‘‰ πœŒπ‘ˆπ‘‰ NUM cana-5240 142 11 = = X cana-5240 142 12 ( ( PUNCT cana-5240 142 13 0.95 0.95 NUM cana-5240 142 14 , , PUNCT cana-5240 142 15 0.55 0.55 NUM cana-5240 142 16 , , PUNCT cana-5240 142 17 0.0 0.0 NUM cana-5240 142 18 , , PUNCT cana-5240 142 19 βˆ’0.95 βˆ’0.95 ADJ cana-5240 142 20 , , PUNCT cana-5240 142 21 βˆ’0.55 βˆ’0.55 NOUN cana-5240 142 22 ) ) PUNCT cana-5240 142 23 as as ADP cana-5240 142 24 the the DET cana-5240 142 25 correlation correlation NOUN cana-5240 142 26 between between ADP cana-5240 142 27 the the DET cana-5240 142 28 study study NOUN cana-5240 142 29 variable variable NOUN cana-5240 142 30 π‘Œ π‘Œ PROPN cana-5240 142 31 and and CCONJ cana-5240 142 32 auxiliary auxiliary ADJ cana-5240 142 33 variable variable NOUN cana-5240 142 34 𝑋 𝑋 PROPN cana-5240 142 35 is be AUX cana-5240 142 36 negatively negatively ADV cana-5240 142 37 correlated correlate VERB cana-5240 142 38 the the DET cana-5240 142 39 product product NOUN cana-5240 142 40 estimator estimator NOUN cana-5240 142 41 performs perform VERB cana-5240 142 42 well well ADV cana-5240 142 43 . . PUNCT cana-5240 143 1 as as SCONJ cana-5240 143 2 observed observe VERB cana-5240 143 3 from from ADP cana-5240 143 4 the the DET cana-5240 143 5 table table NOUN cana-5240 143 6 when when SCONJ cana-5240 143 7 πœŒπ‘‹π‘Œ πœŒπ‘‹π‘Œ ADV cana-5240 143 8 = = SYM cana-5240 143 9 βˆ’0.55 βˆ’0.55 NOUN cana-5240 143 10 the the DET cana-5240 143 11 mse mse NOUN cana-5240 143 12 of of ADP cana-5240 143 13 the the DET cana-5240 143 14 product product NOUN cana-5240 143 15 estimator estimator NOUN cana-5240 143 16 is be AUX cana-5240 143 17 very very ADV cana-5240 143 18 less less ADV cana-5240 143 19 as as ADP cana-5240 143 20 compared compare VERB cana-5240 143 21 to to ADP cana-5240 143 22 the the DET cana-5240 143 23 mean mean ADJ cana-5240 143 24 square square ADJ cana-5240 143 25 error error NOUN cana-5240 143 26 of of ADP cana-5240 143 27 ratio ratio NOUN cana-5240 143 28 estimator estimator NOUN cana-5240 143 29 but but CCONJ cana-5240 143 30 the the DET cana-5240 143 31 mean mean ADJ cana-5240 143 32 square square ADJ cana-5240 143 33 error error NOUN cana-5240 143 34 for for ADP cana-5240 143 35 the the DET cana-5240 143 36 proposed propose VERB cana-5240 143 37 class class NOUN cana-5240 143 38 of of ADP cana-5240 143 39 estimators estimator NOUN cana-5240 143 40 is be AUX cana-5240 143 41 less less ADJ cana-5240 143 42 than than ADP cana-5240 143 43 that that PRON cana-5240 143 44 of of ADP cana-5240 143 45 the the DET cana-5240 143 46 product product NOUN cana-5240 143 47 estimator estimator NOUN cana-5240 143 48 . . PUNCT cana-5240 144 1 the the DET cana-5240 144 2 above above ADJ cana-5240 144 3 results result NOUN cana-5240 144 4 are be AUX cana-5240 144 5 observed observe VERB cana-5240 144 6 when when SCONJ cana-5240 144 7 auxiliary auxiliary ADJ cana-5240 144 8 variable variable PROPN cana-5240 144 9 𝑋 𝑋 PROPN cana-5240 144 10 , , PUNCT cana-5240 144 11 study study VERB cana-5240 144 12 variable variable NOUN cana-5240 144 13 π‘Œ π‘Œ PROPN cana-5240 144 14 and and CCONJ cana-5240 144 15 the the DET cana-5240 144 16 error error NOUN cana-5240 144 17 variables variable VERB cana-5240 144 18 π‘ˆ π‘ˆ PROPN cana-5240 144 19 and and CCONJ cana-5240 144 20 𝑉 𝑉 PROPN cana-5240 144 21 are be AUX cana-5240 144 22 with with ADP cana-5240 144 23 mean mean ADJ cana-5240 144 24 ( ( PUNCT cana-5240 144 25 πœ‡π‘‹π‘ π‘¦ πœ‡π‘‹π‘ π‘¦ PROPN cana-5240 144 26 , , PUNCT cana-5240 144 27 πœ‡π‘Œπ‘ π‘¦ πœ‡π‘Œπ‘ π‘¦ PROPN cana-5240 144 28 , , PUNCT cana-5240 144 29 0 0 NUM cana-5240 144 30 , , PUNCT cana-5240 144 31 0 0 NUM cana-5240 144 32 ) ) PUNCT cana-5240 144 33 and and CCONJ cana-5240 144 34 the the DET cana-5240 144 35 population population NOUN cana-5240 144 36 variance variance NOUN cana-5240 144 37 of of ADP cana-5240 144 38 the the DET cana-5240 144 39 study study NOUN cana-5240 144 40 variable variable NOUN cana-5240 144 41 and and CCONJ cana-5240 144 42 auxiliary auxiliary ADJ cana-5240 144 43 variable variable PROPN cana-5240 144 44 𝑋 𝑋 PROPN cana-5240 144 45 , , PUNCT cana-5240 144 46 π‘Œare π‘Œare PROPN cana-5240 144 47 ( ( PUNCT cana-5240 144 48 15 15 NUM cana-5240 144 49 , , PUNCT cana-5240 144 50 20 20 NUM cana-5240 144 51 ) ) PUNCT cana-5240 144 52 and and CCONJ cana-5240 144 53 the the DET cana-5240 144 54 variance variance NOUN cana-5240 144 55 of of ADP cana-5240 144 56 the the DET cana-5240 144 57 measurement measurement NOUN cana-5240 144 58 errors error VERB cana-5240 144 59 π‘ˆ π‘ˆ PROPN cana-5240 144 60 and and CCONJ cana-5240 144 61 𝑉 𝑉 PROPN cana-5240 144 62 are be AUX cana-5240 144 63 taken take VERB cana-5240 144 64 as as ADP cana-5240 144 65 ( ( PUNCT cana-5240 144 66 0,0 0,0 NOUN cana-5240 144 67 ) ) PUNCT cana-5240 144 68 , , PUNCT cana-5240 144 69 ( ( PUNCT cana-5240 144 70 2,2 2,2 NUM cana-5240 144 71 ) ) PUNCT cana-5240 144 72 and and CCONJ cana-5240 144 73 ( ( PUNCT cana-5240 144 74 4,4 4,4 NUM cana-5240 144 75 ) ) PUNCT cana-5240 144 76 . . PUNCT cana-5240 145 1 a a DET cana-5240 145 2 similar similar ADJ cana-5240 145 3 pattern pattern NOUN cana-5240 145 4 is be AUX cana-5240 145 5 observed observe VERB cana-5240 145 6 as as SCONJ cana-5240 145 7 described describe VERB cana-5240 145 8 above above ADV cana-5240 145 9 is be AUX cana-5240 145 10 followed follow VERB cana-5240 145 11 when when SCONJ cana-5240 145 12 the the DET cana-5240 145 13 population population NOUN cana-5240 145 14 variance variance NOUN cana-5240 145 15 of of ADP cana-5240 145 16 the the DET cana-5240 145 17 study study NOUN cana-5240 145 18 variable variable NOUN cana-5240 145 19 and and CCONJ cana-5240 145 20 auxiliary auxiliary ADJ cana-5240 145 21 variable variable PROPN cana-5240 145 22 𝑋 𝑋 PROPN cana-5240 145 23 , , PUNCT cana-5240 145 24 π‘Œ π‘Œ PROPN cana-5240 145 25 are be AUX cana-5240 145 26 increased increase VERB cana-5240 145 27 to to ADP cana-5240 145 28 ( ( PUNCT cana-5240 145 29 25,35 25,35 NUM cana-5240 145 30 ) ) PUNCT cana-5240 145 31 and and CCONJ cana-5240 145 32 for for ADP cana-5240 145 33 the the DET cana-5240 145 34 same same ADJ cana-5240 145 35 values value NOUN cana-5240 145 36 of of ADP cana-5240 145 37 variance variance NOUN cana-5240 145 38 of of ADP cana-5240 145 39 the the DET cana-5240 145 40 measurement measurement NOUN cana-5240 145 41 errors error VERB cana-5240 145 42 π‘ˆ π‘ˆ PROPN cana-5240 145 43 and and CCONJ cana-5240 145 44 𝑉. 𝑉. NOUN cana-5240 145 45 conclusions conclusion NOUN cana-5240 145 46 in in ADP cana-5240 145 47 this this DET cana-5240 145 48 manuscript manuscript NOUN cana-5240 145 49 , , PUNCT cana-5240 145 50 the the DET cana-5240 145 51 effect effect NOUN cana-5240 145 52 of of ADP cana-5240 145 53 measurement measurement NOUN cana-5240 145 54 error error NOUN cana-5240 145 55 and and CCONJ cana-5240 145 56 correlated correlate VERB cana-5240 145 57 measurement measurement NOUN cana-5240 145 58 error error NOUN cana-5240 145 59 on on ADP cana-5240 145 60 the the DET cana-5240 145 61 exponential exponential ADJ cana-5240 145 62 estimator estimator NOUN cana-5240 145 63 , , PUNCT cana-5240 145 64 under under ADP cana-5240 145 65 systematic systematic ADJ cana-5240 145 66 sampling sampling NOUN cana-5240 145 67 technique technique NOUN cana-5240 145 68 to to PART cana-5240 145 69 estimate estimate VERB cana-5240 145 70 the the DET cana-5240 145 71 population population NOUN cana-5240 145 72 mean mean VERB cana-5240 145 73 of of ADP cana-5240 145 74 the the DET cana-5240 145 75 study study NOUN cana-5240 145 76 variable variable NOUN cana-5240 145 77 π‘Œ π‘Œ PROPN cana-5240 145 78 by by ADP cana-5240 145 79 using use VERB cana-5240 145 80 the the DET cana-5240 145 81 auxiliary auxiliary ADJ cana-5240 145 82 information information NOUN cana-5240 145 83 has have AUX cana-5240 145 84 been be AUX cana-5240 145 85 studied study VERB cana-5240 145 86 . . PUNCT cana-5240 146 1 the the DET cana-5240 146 2 observation observation NOUN cana-5240 146 3 is be AUX cana-5240 146 4 assumed assume VERB cana-5240 146 5 to to PART cana-5240 146 6 be be AUX cana-5240 146 7 recorded record VERB cana-5240 146 8 with with ADP cana-5240 146 9 some some DET cana-5240 146 10 errors error NOUN cana-5240 146 11 . . PUNCT cana-5240 147 1 also also ADV cana-5240 147 2 , , PUNCT cana-5240 147 3 the the DET cana-5240 147 4 error error NOUN cana-5240 147 5 present present NOUN cana-5240 147 6 in in ADP cana-5240 147 7 study study NOUN cana-5240 147 8 and and CCONJ cana-5240 147 9 auxiliary auxiliary ADJ cana-5240 147 10 variable variable NOUN cana-5240 147 11 are be AUX cana-5240 147 12 assumed assume VERB cana-5240 147 13 to to PART cana-5240 147 14 be be AUX cana-5240 147 15 correlated correlate VERB cana-5240 147 16 . . PUNCT cana-5240 148 1 from from ADP cana-5240 148 2 the the DET cana-5240 148 3 simulation simulation NOUN cana-5240 148 4 study study NOUN cana-5240 148 5 , , PUNCT cana-5240 148 6 it it PRON cana-5240 148 7 is be AUX cana-5240 148 8 observed observe VERB cana-5240 148 9 that that SCONJ cana-5240 148 10 proposed propose VERB cana-5240 148 11 method method NOUN cana-5240 148 12 of of ADP cana-5240 148 13 estimation estimation NOUN cana-5240 148 14 is be AUX cana-5240 148 15 more more ADV cana-5240 148 16 efficient efficient ADJ cana-5240 148 17 than than ADP cana-5240 148 18 ratio ratio NOUN cana-5240 148 19 and and CCONJ cana-5240 148 20 product product NOUN cana-5240 148 21 and and CCONJ cana-5240 148 22 mean mean ADJ cana-5240 148 23 estimator estimator NOUN cana-5240 148 24 . . PUNCT cana-5240 149 1 from from ADP cana-5240 149 2 simulation simulation NOUN cana-5240 149 3 study study NOUN cana-5240 149 4 , , PUNCT cana-5240 149 5 it it PRON cana-5240 149 6 is be AUX cana-5240 149 7 concluded conclude VERB cana-5240 149 8 that that SCONJ cana-5240 149 9 the the DET cana-5240 149 10 mse mse NOUN cana-5240 149 11 in in ADP cana-5240 149 12 the the DET cana-5240 149 13 presence presence NOUN cana-5240 149 14 of of ADP cana-5240 149 15 measurement measurement NOUN cana-5240 149 16 error error NOUN cana-5240 149 17 as as ADV cana-5240 149 18 well well ADV cana-5240 149 19 as as ADP cana-5240 149 20 in in ADP cana-5240 149 21 the the DET cana-5240 149 22 presence presence NOUN cana-5240 149 23 of of ADP cana-5240 149 24 correlated correlate VERB cana-5240 149 25 measurement measurement NOUN cana-5240 149 26 error error NOUN cana-5240 149 27 is be AUX cana-5240 149 28 always always ADV cana-5240 149 29 high high ADJ cana-5240 149 30 . . PUNCT cana-5240 150 1 due due ADP cana-5240 150 2 to to ADP cana-5240 150 3 simplicity simplicity NOUN cana-5240 150 4 , , PUNCT cana-5240 150 5 systematic systematic ADJ cana-5240 150 6 sampling sampling NOUN cana-5240 150 7 has have VERB cana-5240 150 8 wide wide ADJ cana-5240 150 9 applicability applicability NOUN cana-5240 150 10 and and CCONJ cana-5240 150 11 thus thus ADV cana-5240 150 12 , , PUNCT cana-5240 150 13 the the DET cana-5240 150 14 proposed propose VERB cana-5240 150 15 method method NOUN cana-5240 150 16 of of ADP cana-5240 150 17 estimation estimation NOUN cana-5240 150 18 can can AUX cana-5240 150 19 be be AUX cana-5240 150 20 applied apply VERB cana-5240 150 21 to to ADP cana-5240 150 22 many many ADJ cana-5240 150 23 real real ADJ cana-5240 150 24 - - PUNCT cana-5240 150 25 life life NOUN cana-5240 150 26 events event NOUN cana-5240 150 27 under under ADP cana-5240 150 28 systematic systematic ADJ cana-5240 150 29 sampling sampling NOUN cana-5240 150 30 survey survey NOUN cana-5240 150 31 where where SCONJ cana-5240 150 32 the the DET cana-5240 150 33 data datum NOUN cana-5240 150 34 are be AUX cana-5240 150 35 prone prone ADJ cana-5240 150 36 to to AUX cana-5240 150 37 recorded record VERB cana-5240 150 38 with with ADP cana-5240 150 39 measurement measurement NOUN cana-5240 150 40 error error NOUN cana-5240 150 41 and and CCONJ cana-5240 150 42 as as ADV cana-5240 150 43 well well ADV cana-5240 150 44 as as ADP cana-5240 150 45 correlated correlate VERB cana-5240 150 46 measurement measurement NOUN cana-5240 150 47 error error NOUN cana-5240 150 48 . . PUNCT cana-5240 151 1 the the DET cana-5240 151 2 limitation limitation NOUN cana-5240 151 3 of of ADP cana-5240 151 4 the the DET cana-5240 151 5 study study NOUN cana-5240 151 6 is be AUX cana-5240 151 7 that that SCONJ cana-5240 151 8 the the DET cana-5240 151 9 method method NOUN cana-5240 151 10 of of ADP cana-5240 151 11 estimation estimation NOUN cana-5240 151 12 is be AUX cana-5240 151 13 derived derive VERB cana-5240 151 14 for for ADP cana-5240 151 15 systematic systematic ADJ cana-5240 151 16 sampling sampling NOUN cana-5240 151 17 . . PUNCT cana-5240 152 1 communications communication NOUN cana-5240 152 2 on on ADP cana-5240 152 3 applied apply VERB cana-5240 152 4 nonlinear nonlinear ADJ cana-5240 152 5 analysis analysis NOUN cana-5240 152 6 issn issn NOUN cana-5240 152 7 : : PUNCT cana-5240 152 8 1074 1074 NUM cana-5240 152 9 - - PUNCT cana-5240 152 10 133x 133x NUM cana-5240 152 11 vol vol VERB cana-5240 152 12 32 32 NUM cana-5240 152 13 no no NOUN cana-5240 152 14 . . PUNCT cana-5240 153 1 10s 10 NOUN cana-5240 153 2 ( ( PUNCT cana-5240 153 3 2025 2025 NUM cana-5240 153 4 ) ) PUNCT cana-5240 153 5 1400 1400 NUM cana-5240 153 6 https://internationalpubls.com https://internationalpubls.com X cana-5240 153 7 references reference NOUN cana-5240 153 8 : : PUNCT cana-5240 154 1 [ [ X cana-5240 154 2 1 1 NUM cana-5240 154 3 ] ] PUNCT cana-5240 154 4 cochran cochran NOUN cana-5240 154 5 , , PUNCT cana-5240 154 6 w. w. PROPN cana-5240 154 7 g. g. PROPN cana-5240 154 8 ( ( PUNCT cana-5240 154 9 1946 1946 NUM cana-5240 154 10 ) ) PUNCT cana-5240 154 11 . . PUNCT cana-5240 155 1 relative relative ADJ cana-5240 155 2 accuracy accuracy NOUN cana-5240 155 3 of of ADP cana-5240 155 4 systematic systematic ADJ cana-5240 155 5 and and CCONJ cana-5240 155 6 stratified stratify VERB cana-5240 155 7 random random ADJ cana-5240 155 8 samples sample NOUN cana-5240 155 9 for for ADP cana-5240 155 10 a a DET cana-5240 155 11 certain certain ADJ cana-5240 155 12 class class NOUN cana-5240 155 13 of of ADP cana-5240 155 14 populations population NOUN cana-5240 155 15 . . PUNCT cana-5240 156 1 the the DET cana-5240 156 2 annals annal NOUN cana-5240 156 3 of of ADP cana-5240 156 4 mathematical mathematical ADJ cana-5240 156 5 statistics statistic NOUN cana-5240 156 6 17 17 NUM cana-5240 156 7 ( ( PUNCT cana-5240 156 8 2).164–77 2).164–77 NOUN cana-5240 156 9 . . PUNCT cana-5240 157 1 [ [ X cana-5240 157 2 2 2 NUM cana-5240 157 3 ] ] PUNCT cana-5240 157 4 cochran cochran NOUN cana-5240 157 5 , , PUNCT cana-5240 157 6 w. w. PROPN cana-5240 157 7 g. g. PROPN cana-5240 157 8 ( ( PUNCT cana-5240 157 9 1977 1977 NUM cana-5240 157 10 ) ) PUNCT cana-5240 157 11 . . PUNCT cana-5240 158 1 sampling sample VERB cana-5240 158 2 technique technique NOUN cana-5240 158 3 . . PUNCT cana-5240 159 1 hoboken hoboken PROPN cana-5240 159 2 , , PUNCT cana-5240 159 3 nj nj PROPN cana-5240 159 4 : : PUNCT cana-5240 159 5 john john PROPN cana-5240 159 6 wiley wiley PROPN cana-5240 159 7 & & CCONJ cana-5240 159 8 sons sons PROPN cana-5240 159 9 , , PUNCT cana-5240 159 10 inc inc PROPN cana-5240 159 11 . . PUNCT cana-5240 160 1 [ [ X cana-5240 160 2 3 3 NUM cana-5240 160 3 ] ] X cana-5240 160 4 gautschi gautschi PROPN cana-5240 160 5 , , PUNCT cana-5240 160 6 w. w. PROPN cana-5240 160 7 ( ( PUNCT cana-5240 160 8 1957 1957 NUM cana-5240 160 9 ) ) PUNCT cana-5240 160 10 . . PUNCT cana-5240 161 1 some some DET cana-5240 161 2 remarks remark NOUN cana-5240 161 3 on on ADP cana-5240 161 4 systematic systematic ADJ cana-5240 161 5 sampling sampling NOUN cana-5240 161 6 . . PUNCT cana-5240 162 1 the the DET cana-5240 162 2 annals annal NOUN cana-5240 162 3 of of ADP cana-5240 162 4 mathematical mathematical ADJ cana-5240 162 5 statistics statistic NOUN cana-5240 162 6 28 28 NUM cana-5240 162 7 ( ( PUNCT cana-5240 162 8 2 2 NUM cana-5240 162 9 ) ) PUNCT cana-5240 162 10 , , PUNCT cana-5240 162 11 385–94 385–94 NUM cana-5240 162 12 . . PUNCT cana-5240 163 1 [ [ X cana-5240 163 2 4 4 NUM cana-5240 163 3 ] ] X cana-5240 163 4 gregoire gregoire PROPN cana-5240 163 5 , , PUNCT cana-5240 163 6 t.g t.g PROPN cana-5240 163 7 . . PROPN cana-5240 163 8 and and CCONJ cana-5240 163 9 salas salas PROPN cana-5240 163 10 , , PUNCT cana-5240 163 11 c. c. PROPN cana-5240 163 12 ( ( PUNCT cana-5240 163 13 2009 2009 NUM cana-5240 163 14 ) ) PUNCT cana-5240 163 15 . . PUNCT cana-5240 164 1 ratio ratio NOUN cana-5240 164 2 estimation estimation NOUN cana-5240 164 3 with with ADP cana-5240 164 4 measurement measurement NOUN cana-5240 164 5 error error NOUN cana-5240 164 6 in in ADP cana-5240 164 7 the the DET cana-5240 164 8 auxiliary auxiliary ADJ cana-5240 164 9 variate variate NOUN cana-5240 164 10 . . PUNCT cana-5240 165 1 biometrics biometrics PROPN cana-5240 165 2 65,2,590 65,2,590 NUM cana-5240 165 3 - - SYM cana-5240 165 4 598 598 NUM cana-5240 165 5 . . PUNCT cana-5240 166 1 [ [ X cana-5240 166 2 5 5 NUM cana-5240 166 3 ] ] X cana-5240 166 4 gregoire gregoire NOUN cana-5240 166 5 , , PUNCT cana-5240 166 6 t. t. PROPN cana-5240 166 7 g. g. PROPN cana-5240 166 8 , , PUNCT cana-5240 166 9 and and CCONJ cana-5240 166 10 t. t. PROPN cana-5240 166 11 valentine valentine PROPN cana-5240 166 12 harry harry PROPN cana-5240 166 13 . . PUNCT cana-5240 167 1 ( ( PUNCT cana-5240 167 2 2008 2008 NUM cana-5240 167 3 ) ) PUNCT cana-5240 167 4 . . PUNCT cana-5240 168 1 sampling sample VERB cana-5240 168 2 strategies strategy NOUN cana-5240 168 3 for for ADP cana-5240 168 4 natural natural ADJ cana-5240 168 5 resources resource NOUN cana-5240 168 6 and and CCONJ cana-5240 168 7 the the DET cana-5240 168 8 environment environment NOUN cana-5240 168 9 . . PUNCT cana-5240 169 1 boca boca PROPN cana-5240 169 2 raton raton PROPN cana-5240 169 3 , , PUNCT cana-5240 169 4 fl fl PROPN cana-5240 169 5 ; ; PUNCT cana-5240 169 6 london london PROPN cana-5240 169 7 : : PUNCT cana-5240 169 8 chapman chapman PROPN cana-5240 169 9 & & CCONJ cana-5240 169 10 hall hall PROPN cana-5240 169 11 / / SYM cana-5240 169 12 crc crc NOUN cana-5240 169 13 . . PUNCT cana-5240 170 1 [ [ X cana-5240 170 2 6 6 NUM cana-5240 170 3 ] ] X cana-5240 170 4 griffth griffth ADJ cana-5240 170 5 , , PUNCT cana-5240 170 6 a. a. NOUN cana-5240 170 7 l. l. PROPN cana-5240 170 8 ( ( PUNCT cana-5240 170 9 1945 1945 NUM cana-5240 170 10 ) ) PUNCT cana-5240 170 11 . . PUNCT cana-5240 171 1 the the DET cana-5240 171 2 efficiency efficiency NOUN cana-5240 171 3 of of ADP cana-5240 171 4 enumerations enumeration NOUN cana-5240 171 5 . . PUNCT cana-5240 172 1 in in ADP cana-5240 172 2 indian indian ADJ cana-5240 172 3 forest forest NOUN cana-5240 172 4 leaflets leaflet NOUN cana-5240 172 5 , , PUNCT cana-5240 172 6 83–93 83–93 NUM cana-5240 172 7 . . PUNCT cana-5240 172 8 dehradun dehradun PROPN cana-5240 172 9 : : PUNCT cana-5240 172 10 forest forest NOUN cana-5240 172 11 - - PUNCT cana-5240 172 12 research research NOUN cana-5240 172 13 institute institute NOUN cana-5240 172 14 . . PUNCT cana-5240 173 1 hartley hartley PROPN cana-5240 173 2 , , PUNCT cana-5240 173 3 h. h. PROPN cana-5240 173 4 o. o. PROPN cana-5240 173 5 , , PUNCT cana-5240 173 6 and and CCONJ cana-5240 173 7 a. a. PROPN cana-5240 173 8 ross ross PROPN cana-5240 173 9 . . PUNCT cana-5240 174 1 ( ( PUNCT cana-5240 174 2 1954 1954 NUM cana-5240 174 3 ) ) PUNCT cana-5240 174 4 . . PUNCT cana-5240 175 1 unbiased unbiased ADJ cana-5240 175 2 ratio ratio NOUN cana-5240 175 3 estimators estimator NOUN cana-5240 175 4 . . PUNCT cana-5240 176 1 nature nature NOUN cana-5240 176 2 174 174 NUM cana-5240 176 3 ( ( PUNCT cana-5240 176 4 4423 4423 NUM cana-5240 176 5 ) ) PUNCT cana-5240 176 6 , , PUNCT cana-5240 176 7 270–71 270–71 NOUN cana-5240 176 8 . . PUNCT cana-5240 177 1 [ [ X cana-5240 177 2 7 7 NUM cana-5240 177 3 ] ] X cana-5240 177 4 hasel hasel PROPN cana-5240 177 5 , , PUNCT cana-5240 177 6 h. h. PROPN cana-5240 177 7 a. a. PROPN cana-5240 177 8 ( ( PUNCT cana-5240 177 9 1942 1942 NUM cana-5240 177 10 ) ) PUNCT cana-5240 177 11 . . PUNCT cana-5240 178 1 estimation estimation NOUN cana-5240 178 2 of of ADP cana-5240 178 3 volume volume NOUN cana-5240 178 4 of of ADP cana-5240 178 5 timber timber NOUN cana-5240 178 6 stands stand VERB cana-5240 178 7 by by ADP cana-5240 178 8 strip strip NOUN cana-5240 178 9 sampling sampling NOUN cana-5240 178 10 . . PUNCT cana-5240 179 1 the the DET cana-5240 179 2 annals annal NOUN cana-5240 179 3 of of ADP cana-5240 179 4 mathematical mathematical ADJ cana-5240 179 5 statistics statistic NOUN cana-5240 179 6 13 13 NUM cana-5240 179 7 ( ( PUNCT cana-5240 179 8 2 2 NUM cana-5240 179 9 ) ) PUNCT cana-5240 179 10 , , PUNCT cana-5240 179 11 179–206 179–206 NUM cana-5240 179 12 . . PUNCT cana-5240 180 1 [ [ X cana-5240 180 2 8 8 NUM cana-5240 180 3 ] ] X cana-5240 180 4 lahiri lahiri PROPN cana-5240 180 5 , , PUNCT cana-5240 180 6 d. d. PROPN cana-5240 180 7 b. b. PROPN cana-5240 180 8 ( ( PUNCT cana-5240 180 9 1954 1954 NUM cana-5240 180 10 ) ) PUNCT cana-5240 180 11 . . PUNCT cana-5240 181 1 on on ADP cana-5240 181 2 the the DET cana-5240 181 3 question question NOUN cana-5240 181 4 of of ADP cana-5240 181 5 bias bias NOUN cana-5240 181 6 of of ADP cana-5240 181 7 systematic systematic ADJ cana-5240 181 8 sampling sampling NOUN cana-5240 181 9 . . PUNCT cana-5240 182 1 proceedings proceeding NOUN cana-5240 182 2 of of ADP cana-5240 182 3 world world NOUN cana-5240 182 4 population population NOUN cana-5240 182 5 conference conference NOUN cana-5240 182 6 6 6 NUM cana-5240 182 7 , , PUNCT cana-5240 182 8 349–62 349–62 NUM cana-5240 182 9 . . PUNCT cana-5240 183 1 [ [ X cana-5240 183 2 9 9 NUM cana-5240 183 3 ] ] SYM cana-5240 183 4 madow madow NOUN cana-5240 183 5 , , PUNCT cana-5240 183 6 w. w. PROPN cana-5240 183 7 g. g. PROPN cana-5240 183 8 ( ( PUNCT cana-5240 183 9 1949 1949 NUM cana-5240 183 10 ) ) PUNCT cana-5240 183 11 . . PUNCT cana-5240 184 1 on on ADP cana-5240 184 2 the the DET cana-5240 184 3 theory theory NOUN cana-5240 184 4 of of ADP cana-5240 184 5 systematic systematic ADJ cana-5240 184 6 sampling sampling NOUN cana-5240 184 7 , , PUNCT cana-5240 184 8 ii ii PROPN cana-5240 184 9 . . PUNCT cana-5240 185 1 the the DET cana-5240 185 2 annals annal NOUN cana-5240 185 3 of of ADP cana-5240 185 4 mathematical mathematical ADJ cana-5240 185 5 statistics statistic NOUN cana-5240 185 6 20 20 NUM cana-5240 185 7 ( ( PUNCT cana-5240 185 8 3 3 NUM cana-5240 185 9 ) ) PUNCT cana-5240 185 10 , , PUNCT cana-5240 185 11 333–54 333–54 NUM cana-5240 185 12 . . PUNCT cana-5240 186 1 [ [ X cana-5240 186 2 10 10 NUM cana-5240 186 3 ] ] X cana-5240 186 4 madow madow PROPN cana-5240 186 5 , , PUNCT cana-5240 186 6 w. w. PROPN cana-5240 186 7 g. g. PROPN cana-5240 186 8 ( ( PUNCT cana-5240 186 9 1953 1953 NUM cana-5240 186 10 ) ) PUNCT cana-5240 186 11 . . PUNCT cana-5240 187 1 on on ADP cana-5240 187 2 the the DET cana-5240 187 3 theory theory NOUN cana-5240 187 4 of of ADP cana-5240 187 5 systematic systematic ADJ cana-5240 187 6 sampling sampling NOUN cana-5240 187 7 , , PUNCT cana-5240 187 8 iii iii PROPN cana-5240 187 9 . . NOUN cana-5240 187 10 comparison comparison NOUN cana-5240 187 11 of of ADP cana-5240 187 12 centered center VERB cana-5240 187 13 and and CCONJ cana-5240 187 14 random random ADJ cana-5240 187 15 start start VERB cana-5240 187 16 systematic systematic ADJ cana-5240 187 17 sampling sampling NOUN cana-5240 187 18 . . PUNCT cana-5240 188 1 the the DET cana-5240 188 2 annals annal NOUN cana-5240 188 3 of of ADP cana-5240 188 4 mathematical mathematical ADJ cana-5240 188 5 statistics statistic NOUN cana-5240 188 6 24 24 NUM cana-5240 188 7 ( ( PUNCT cana-5240 188 8 1),101–106 1),101–106 NUM cana-5240 188 9 . . PUNCT cana-5240 189 1 [ [ X cana-5240 189 2 11 11 NUM cana-5240 189 3 ] ] X cana-5240 189 4 murthy murthy PROPN cana-5240 189 5 m.n m.n PROPN cana-5240 189 6 . . PUNCT cana-5240 190 1 ( ( PUNCT cana-5240 190 2 1964 1964 NUM cana-5240 190 3 ) ) PUNCT cana-5240 190 4 . . PUNCT cana-5240 191 1 product product NOUN cana-5240 191 2 method method NOUN cana-5240 191 3 of of ADP cana-5240 191 4 estimation estimation NOUN cana-5240 191 5 . . PUNCT cana-5240 192 1 sankhyā sankhyā NOUN cana-5240 192 2 : : PUNCT cana-5240 192 3 the the DET cana-5240 192 4 indian indian PROPN cana-5240 192 5 journal journal PROPN cana-5240 192 6 of of ADP cana-5240 192 7 statistics statistic NOUN cana-5240 192 8 , , PUNCT cana-5240 192 9 series series PROPN cana-5240 192 10 a. a. PROPN cana-5240 192 11 1,69 1,69 PROPN cana-5240 192 12 - - SYM cana-5240 192 13 74 74 NUM cana-5240 192 14 . . PUNCT cana-5240 193 1 [ [ X cana-5240 193 2 12 12 NUM cana-5240 193 3 ] ] X cana-5240 193 4 murthy murthy PROPN cana-5240 193 5 , , PUNCT cana-5240 193 6 m.n m.n PROPN cana-5240 193 7 . . PROPN cana-5240 193 8 ( ( PUNCT cana-5240 193 9 1967 1967 NUM cana-5240 193 10 ) ) PUNCT cana-5240 193 11 . . PUNCT cana-5240 194 1 sampling sample VERB cana-5240 194 2 theory theory NOUN cana-5240 194 3 and and CCONJ cana-5240 194 4 methods method NOUN cana-5240 194 5 . . PUNCT cana-5240 195 1 statistical statistical ADJ cana-5240 195 2 publishing publishing NOUN cana-5240 195 3 society society NOUN cana-5240 195 4 , , PUNCT cana-5240 195 5 calcutta calcutta PROPN cana-5240 195 6 , , PUNCT cana-5240 195 7 india india PROPN cana-5240 196 1 [ [ X cana-5240 196 2 13 13 NUM cana-5240 196 3 ] ] PUNCT cana-5240 196 4 shalabh shalabh PROPN cana-5240 196 5 , , PUNCT cana-5240 196 6 & & CCONJ cana-5240 196 7 tsai tsai PROPN cana-5240 196 8 , , PUNCT cana-5240 196 9 j. j. PROPN cana-5240 196 10 r. r. PROPN cana-5240 196 11 ( ( PUNCT cana-5240 196 12 2017 2017 NUM cana-5240 196 13 ) ) PUNCT cana-5240 196 14 . . PUNCT cana-5240 197 1 ratio ratio NOUN cana-5240 197 2 and and CCONJ cana-5240 197 3 product product NOUN cana-5240 197 4 methods method NOUN cana-5240 197 5 of of ADP cana-5240 197 6 estimation estimation NOUN cana-5240 197 7 of of ADP cana-5240 197 8 population population NOUN cana-5240 197 9 mean mean VERB cana-5240 197 10 in in ADP cana-5240 197 11 the the DET cana-5240 197 12 presence presence NOUN cana-5240 197 13 of of ADP cana-5240 197 14 correlated correlate VERB cana-5240 197 15 measurement measurement NOUN cana-5240 197 16 errors error NOUN cana-5240 197 17 . . PUNCT cana-5240 198 1 communications communication NOUN cana-5240 198 2 in in ADP cana-5240 198 3 statistics statistic NOUN cana-5240 198 4 simulation simulation NOUN cana-5240 198 5 and and CCONJ cana-5240 198 6 computation computation NOUN cana-5240 198 7 , , PUNCT cana-5240 198 8 46(7 46(7 NOUN cana-5240 198 9 ) ) PUNCT cana-5240 198 10 , , PUNCT cana-5240 198 11 5566–5593 5566–5593 NUM cana-5240 198 12 . . PUNCT cana-5240 199 1 [ [ X cana-5240 199 2 14 14 NUM cana-5240 199 3 ] ] PUNCT cana-5240 199 4 shalabh shalabh PROPN cana-5240 199 5 , , PUNCT cana-5240 199 6 s. s. PROPN cana-5240 199 7 ( ( PUNCT cana-5240 199 8 1997 1997 NUM cana-5240 199 9 ) ) PUNCT cana-5240 199 10 . . PUNCT cana-5240 200 1 ratio ratio NOUN cana-5240 200 2 method method NOUN cana-5240 200 3 of of ADP cana-5240 200 4 estimation estimation NOUN cana-5240 200 5 in in ADP cana-5240 200 6 the the DET cana-5240 200 7 presence presence NOUN cana-5240 200 8 of of ADP cana-5240 200 9 measurement measurement NOUN cana-5240 200 10 error error NOUN cana-5240 200 11 . . PUNCT cana-5240 201 1 journal journal NOUN cana-5240 201 2 of of ADP cana-5240 201 3 the the DET cana-5240 201 4 indian indian ADJ cana-5240 201 5 society society NOUN cana-5240 201 6 of of ADP cana-5240 201 7 agricultural agricultural ADJ cana-5240 201 8 statistics statistic NOUN cana-5240 201 9 , , PUNCT cana-5240 201 10 50 50 NUM cana-5240 201 11 , , PUNCT cana-5240 201 12 2 2 NUM cana-5240 201 13 , , PUNCT cana-5240 201 14 150 150 NUM cana-5240 201 15 - - SYM cana-5240 201 16 55 55 NUM cana-5240 201 17 [ [ X cana-5240 201 18 15 15 NUM cana-5240 201 19 ] ] X cana-5240 201 20 shukla shukla NOUN cana-5240 201 21 , , PUNCT cana-5240 201 22 n. n. PROPN cana-5240 201 23 d. d. PROPN cana-5240 201 24 ( ( PUNCT cana-5240 201 25 1971 1971 NUM cana-5240 201 26 ) ) PUNCT cana-5240 201 27 . . PUNCT cana-5240 202 1 systematic systematic ADJ cana-5240 202 2 sampling sampling NOUN cana-5240 202 3 and and CCONJ cana-5240 202 4 product product NOUN cana-5240 202 5 method method NOUN cana-5240 202 6 of of ADP cana-5240 202 7 estimation estimation NOUN cana-5240 202 8 . . PUNCT cana-5240 203 1 paper paper NOUN cana-5240 203 2 presented present VERB cana-5240 203 3 at at ADP cana-5240 203 4 the the DET cana-5240 203 5 all all DET cana-5240 203 6 - - PUNCT cana-5240 203 7 india india PROPN cana-5240 203 8 seminar seminar NOUN cana-5240 203 9 on on ADP cana-5240 203 10 demography demography NOUN cana-5240 203 11 and and CCONJ cana-5240 203 12 statistics statistic NOUN cana-5240 203 13 , , PUNCT cana-5240 203 14 bhu bhu NOUN cana-5240 203 15 , , PUNCT cana-5240 203 16 varanasi varanasi PROPN cana-5240 203 17 , , PUNCT cana-5240 203 18 india india PROPN cana-5240 203 19 . . PUNCT cana-5240 204 1 [ [ X cana-5240 204 2 16 16 NUM cana-5240 204 3 ] ] X cana-5240 204 4 singh singh PROPN cana-5240 204 5 , , PUNCT cana-5240 204 6 n. n. NOUN cana-5240 204 7 , , PUNCT cana-5240 204 8 g. g. PROPN cana-5240 204 9 k. k. PROPN cana-5240 204 10 vishwakarma vishwakarma PROPN cana-5240 204 11 , , PUNCT cana-5240 204 12 and and CCONJ cana-5240 204 13 j. j. PROPN cana-5240 204 14 m. m. PROPN cana-5240 204 15 kim kim PROPN cana-5240 204 16 . . PUNCT cana-5240 205 1 ( ( PUNCT cana-5240 205 2 2019 2019 NUM cana-5240 205 3 ) ) PUNCT cana-5240 205 4 . . PUNCT cana-5240 206 1 computing compute VERB cana-5240 206 2 the the DET cana-5240 206 3 effect effect NOUN cana-5240 206 4 of of ADP cana-5240 206 5 measurement measurement NOUN cana-5240 206 6 error error NOUN cana-5240 206 7 on on ADP cana-5240 206 8 efficient efficient ADJ cana-5240 206 9 variant variant NOUN cana-5240 206 10 of of ADP cana-5240 206 11 ratio ratio NOUN cana-5240 206 12 and and CCONJ cana-5240 206 13 product product NOUN cana-5240 206 14 estimator estimator NOUN cana-5240 206 15 using use VERB cana-5240 206 16 auxiliary auxiliary ADJ cana-5240 206 17 variable variable NOUN cana-5240 206 18 . . PUNCT cana-5240 207 1 communications communication NOUN cana-5240 207 2 in in ADP cana-5240 207 3 statistics statistic NOUN cana-5240 207 4 simulation simulation NOUN cana-5240 207 5 and and CCONJ cana-5240 207 6 computation computation NOUN cana-5240 207 7 . . PUNCT cana-5240 208 1 51:2 51:2 NUM cana-5240 208 2 , , PUNCT cana-5240 208 3 604 604 NUM cana-5240 208 4 - - SYM cana-5240 208 5 625 625 NUM cana-5240 208 6 . . PUNCT cana-5240 209 1 [ [ X cana-5240 209 2 17 17 NUM cana-5240 209 3 ] ] X cana-5240 209 4 sukhatme sukhatme NOUN cana-5240 209 5 , , PUNCT cana-5240 209 6 p.v p.v PROPN cana-5240 209 7 . . PROPN cana-5240 209 8 , , PUNCT cana-5240 209 9 sukhatme sukhatme PROPN cana-5240 209 10 , , PUNCT cana-5240 209 11 b.v b.v PROPN cana-5240 209 12 . . PROPN cana-5240 209 13 , , PUNCT cana-5240 209 14 sukhatme sukhatme PROPN cana-5240 209 15 , , PUNCT cana-5240 209 16 s. s. PROPN cana-5240 209 17 and and CCONJ cana-5240 209 18 asok asok PROPN cana-5240 209 19 , , PUNCT cana-5240 209 20 c. c. PROPN cana-5240 209 21 ( ( PUNCT cana-5240 209 22 1984 1984 NUM cana-5240 209 23 ): ): PUNCT cana-5240 209 24 sampling sample VERB cana-5240 209 25 theory theory NOUN cana-5240 209 26 of of ADP cana-5240 209 27 surveys survey NOUN cana-5240 209 28 with with ADP cana-5240 209 29 applications application NOUN cana-5240 209 30 . . PUNCT cana-5240 210 1 iowa iowa PROPN cana-5240 210 2 state state PROPN cana-5240 210 3 university university PROPN cana-5240 210 4 press press NOUN cana-5240 210 5 , , PUNCT cana-5240 210 6 ames ames PROPN cana-5240 210 7 , , PUNCT cana-5240 210 8 iowa iowa PROPN cana-5240 210 9 , , PUNCT cana-5240 210 10 usa usa PROPN cana-5240 211 1 [ [ X cana-5240 211 2 18 18 NUM cana-5240 211 3 ] ] X cana-5240 211 4 swain swain PROPN cana-5240 211 5 , , PUNCT cana-5240 211 6 a. a. PROPN cana-5240 212 1 k. k. PROPN cana-5240 212 2 p. p. PROPN cana-5240 212 3 s. s. PROPN cana-5240 212 4 ( ( PUNCT cana-5240 212 5 1964 1964 NUM cana-5240 212 6 ) ) PUNCT cana-5240 212 7 . . PUNCT cana-5240 213 1 the the DET cana-5240 213 2 use use NOUN cana-5240 213 3 of of ADP cana-5240 213 4 systematic systematic ADJ cana-5240 213 5 sampling sampling NOUN cana-5240 213 6 in in ADP cana-5240 213 7 ratio ratio NOUN cana-5240 213 8 estimate estimate NOUN cana-5240 213 9 . . PUNCT cana-5240 214 1 journal journal PROPN cana-5240 214 2 of of ADP cana-5240 214 3 indian indian ADJ cana-5240 214 4 statistical statistical ADJ cana-5240 214 5 association association NOUN cana-5240 214 6 2 2 NUM cana-5240 214 7 ( ( PUNCT cana-5240 214 8 213):160–64 213):160–64 NUM cana-5240 214 9 . . PUNCT cana-5240 215 1 [ [ X cana-5240 215 2 19 19 NUM cana-5240 215 3 ] ] X cana-5240 215 4 watson watson PROPN cana-5240 215 5 , , PUNCT cana-5240 215 6 d. d. PROPN cana-5240 215 7 j. j. PROPN cana-5240 215 8 ( ( PUNCT cana-5240 215 9 1937 1937 NUM cana-5240 215 10 ) ) PUNCT cana-5240 215 11 . . PUNCT cana-5240 216 1 the the DET cana-5240 216 2 estimation estimation NOUN cana-5240 216 3 of of ADP cana-5240 216 4 leaf leaf NOUN cana-5240 216 5 area area NOUN cana-5240 216 6 in in ADP cana-5240 216 7 field field NOUN cana-5240 216 8 crops crop NOUN cana-5240 216 9 . . PUNCT cana-5240 217 1 the the DET cana-5240 217 2 journal journal NOUN cana-5240 217 3 of of ADP cana-5240 217 4 agricultural agricultural ADJ cana-5240 217 5 science science NOUN cana-5240 217 6 27,3 27,3 NUM cana-5240 217 7 , , PUNCT cana-5240 217 8 474 474 NUM cana-5240 217 9 - - SYM cana-5240 217 10 483 483 NUM cana-5240 217 11 . . PUNCT cana-5240 218 1 [ [ X cana-5240 218 2 20 20 NUM cana-5240 218 3 ] ] PUNCT cana-5240 218 4 williams williams PROPN cana-5240 218 5 , , PUNCT cana-5240 218 6 r. r. PROPN cana-5240 218 7 m. m. PROPN cana-5240 218 8 ( ( PUNCT cana-5240 218 9 1956 1956 NUM cana-5240 218 10 ) ) PUNCT cana-5240 218 11 . . PUNCT cana-5240 219 1 the the DET cana-5240 219 2 variance variance NOUN cana-5240 219 3 of of ADP cana-5240 219 4 the the DET cana-5240 219 5 mean mean NOUN cana-5240 219 6 of of ADP cana-5240 219 7 systematic systematic ADJ cana-5240 219 8 samples sample NOUN cana-5240 219 9 . . PUNCT cana-5240 220 1 biometrika biometrika NOUN cana-5240 220 2 43 43 NUM cana-5240 220 3 ( ( PUNCT cana-5240 220 4 1–2 1–2 NUM cana-5240 220 5 ): ): PUNCT cana-5240 220 6 137–48 137–48 NUM cana-5240 220 7 . . PUNCT