id	sid	tid	token	lemma	pos
cana-4458	1	1	communications	communication	NOUN
cana-4458	1	2	on	on	ADP
cana-4458	1	3	applied	apply	VERB
cana-4458	1	4	nonlinear	nonlinear	ADJ
cana-4458	1	5	analysis	analysis	NOUN
cana-4458	1	6	issn	issn	NOUN
cana-4458	1	7	:	:	PUNCT
cana-4458	1	8	1074	1074	NUM
cana-4458	1	9	-	-	PUNCT
cana-4458	1	10	133x	133x	NUM
cana-4458	1	11	vol	vol	NOUN
cana-4458	1	12	32	32	NUM
cana-4458	1	13	no	no	NOUN
cana-4458	1	14	.	.	PUNCT
cana-4458	2	1	9s	9s	NUM
cana-4458	2	2	(	(	PUNCT
cana-4458	2	3	2025	2025	NUM
cana-4458	2	4	)	)	PUNCT
cana-4458	2	5	2216	2216	NUM
cana-4458	3	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4458	3	2	gaussian	gaussian	NOUN
cana-4458	3	3	and	and	CCONJ
cana-4458	3	4	gamma	gamma	NOUN
cana-4458	3	5	mixture	mixture	NOUN
cana-4458	3	6	model	model	NOUN
cana-4458	3	7	approach	approach	NOUN
cana-4458	3	8	to	to	AUX
cana-4458	3	9	rainfall	rainfall	VERB
cana-4458	3	10	analysis	analysis	NOUN
cana-4458	3	11	in	in	ADP
cana-4458	3	12	flood	flood	NOUN
cana-4458	3	13	-	-	PUNCT
cana-4458	3	14	prone	prone	ADJ
cana-4458	3	15	regions	region	NOUN
cana-4458	3	16	of	of	ADP
cana-4458	3	17	karnataka	karnataka	NOUN
cana-4458	3	18	*	*	PUNCT
cana-4458	3	19	kumudha	kumudha	PROPN
cana-4458	3	20	h	h	PROPN
cana-4458	3	21	ra	ra	PROPN
cana-4458	3	22	,	,	PUNCT
cana-4458	3	23	kokila	kokila	PROPN
cana-4458	3	24	rameshb	rameshb	VERB
cana-4458	3	25	,	,	PUNCT
cana-4458	3	26	radha	radha	PROPN
cana-4458	3	27	guptac	guptac	PROPN
cana-4458	3	28	,	,	PUNCT
cana-4458	3	29	anita	anita	PROPN
cana-4458	3	30	chaturvedid	chaturvedid	VERB
cana-4458	3	31	a	a	DET
cana-4458	3	32	)	)	PUNCT
cana-4458	3	33	research	research	NOUN
cana-4458	3	34	scholar	scholar	NOUN
cana-4458	3	35	,	,	PUNCT
cana-4458	3	36	jain	jain	PROPN
cana-4458	3	37	university	university	PROPN
cana-4458	3	38	,	,	PUNCT
cana-4458	3	39	bangalore	bangalore	NOUN
cana-4458	3	40	and	and	CCONJ
cana-4458	3	41	assistant	assistant	NOUN
cana-4458	3	42	professor	professor	NOUN
cana-4458	3	43	,	,	PUNCT
cana-4458	3	44	bharathi	bharathi	PROPN
cana-4458	3	45	college	college	PROPN
cana-4458	3	46	pg	pg	PROPN
cana-4458	3	47	&	&	CCONJ
cana-4458	3	48	rc	rc	PROPN
cana-4458	3	49	,	,	PUNCT
cana-4458	3	50	mandya	mandya	PROPN
cana-4458	3	51	,	,	PUNCT
cana-4458	3	52	karnataka	karnataka	PROPN
cana-4458	3	53	,	,	PUNCT
cana-4458	3	54	india	india	PROPN
cana-4458	3	55	.	.	PUNCT
cana-4458	4	1	kumudhamayur@gmail.com	kumudhamayur@gmail.com	PROPN
cana-4458	4	2	b	b	X
cana-4458	4	3	)	)	PUNCT
cana-4458	4	4	associate	associate	NOUN
cana-4458	4	5	professor	professor	NOUN
cana-4458	4	6	,	,	PUNCT
cana-4458	4	7	fet	fet	PROPN
cana-4458	4	8	,	,	PUNCT
cana-4458	4	9	jain	jain	PROPN
cana-4458	4	10	(	(	PUNCT
cana-4458	4	11	deemed	deem	VERB
cana-4458	4	12	-	-	PUNCT
cana-4458	4	13	to	to	PART
cana-4458	4	14	-	-	PUNCT
cana-4458	4	15	be	be	AUX
cana-4458	4	16	university	university	NOUN
cana-4458	4	17	)	)	PUNCT
cana-4458	4	18	,	,	PUNCT
cana-4458	4	19	bangalore	bangalore	NOUN
cana-4458	4	20	,	,	PUNCT
cana-4458	4	21	karnataka	karnataka	PROPN
cana-4458	4	22	,	,	PUNCT
cana-4458	4	23	india	india	PROPN
cana-4458	4	24	c	c	PROPN
cana-4458	4	25	)	)	PUNCT
cana-4458	4	26	professor	professor	NOUN
cana-4458	4	27	,	,	PUNCT
cana-4458	4	28	dayananda	dayananda	PROPN
cana-4458	4	29	sagar	sagar	PROPN
cana-4458	4	30	college	college	PROPN
cana-4458	4	31	of	of	ADP
cana-4458	4	32	engineering	engineering	PROPN
cana-4458	4	33	,	,	PUNCT
cana-4458	4	34	bangalore	bangalore	PROPN
cana-4458	4	35	,	,	PUNCT
cana-4458	4	36	karnataka	karnataka	PROPN
cana-4458	4	37	,	,	PUNCT
cana-4458	4	38	india	india	PROPN
cana-4458	4	39	d	d	PROPN
cana-4458	4	40	)	)	PUNCT
cana-4458	4	41	professor	professor	NOUN
cana-4458	4	42	,	,	PUNCT
cana-4458	4	43	fet	fet	PROPN
cana-4458	4	44	,	,	PUNCT
cana-4458	4	45	jain	jain	PROPN
cana-4458	4	46	(	(	PUNCT
cana-4458	4	47	deemed	deem	VERB
cana-4458	4	48	-	-	PUNCT
cana-4458	4	49	to	to	PART
cana-4458	4	50	-	-	PUNCT
cana-4458	4	51	be	be	AUX
cana-4458	4	52	university	university	NOUN
cana-4458	4	53	)	)	PUNCT
cana-4458	4	54	,	,	PUNCT
cana-4458	4	55	bangalore	bangalore	NOUN
cana-4458	4	56	,	,	PUNCT
cana-4458	4	57	karnataka	karnataka	PROPN
cana-4458	4	58	,	,	PUNCT
cana-4458	4	59	india	india	PROPN
cana-4458	4	60	article	article	PROPN
cana-4458	4	61	history	history	NOUN
cana-4458	4	62	:	:	PUNCT
cana-4458	4	63	received	receive	VERB
cana-4458	4	64	:	:	PUNCT
cana-4458	4	65	12	12	NUM
cana-4458	4	66	-	-	SYM
cana-4458	4	67	01	01	NUM
cana-4458	4	68	-	-	PUNCT
cana-4458	4	69	2025	2025	NUM
cana-4458	4	70	revised	revise	VERB
cana-4458	4	71	:	:	PUNCT
cana-4458	4	72	15	15	NUM
cana-4458	4	73	-	-	NUM
cana-4458	4	74	02	02	NUM
cana-4458	4	75	-	-	PUNCT
cana-4458	4	76	2025	2025	NUM
cana-4458	4	77	accepted	accept	VERB
cana-4458	4	78	:	:	PUNCT
cana-4458	4	79	01	01	NUM
cana-4458	4	80	-	-	SYM
cana-4458	4	81	03	03	NUM
cana-4458	4	82	-	-	PUNCT
cana-4458	4	83	2025	2025	NUM
cana-4458	4	84	abstract	abstract	NOUN
cana-4458	4	85	:	:	PUNCT
cana-4458	4	86	flood	flood	NOUN
cana-4458	4	87	is	be	AUX
cana-4458	4	88	one	one	NUM
cana-4458	4	89	of	of	ADP
cana-4458	4	90	the	the	DET
cana-4458	4	91	many	many	ADJ
cana-4458	4	92	natural	natural	ADJ
cana-4458	4	93	disasters	disaster	NOUN
cana-4458	4	94	that	that	PRON
cana-4458	4	95	affects	affect	VERB
cana-4458	4	96	people	people	NOUN
cana-4458	4	97	's	's	PART
cana-4458	4	98	social	social	ADJ
cana-4458	4	99	and	and	CCONJ
cana-4458	4	100	economic	economic	ADJ
cana-4458	4	101	well	well	ADV
cana-4458	4	102	-	-	PUNCT
cana-4458	4	103	being	being	NOUN
cana-4458	4	104	in	in	ADP
cana-4458	4	105	india	india	PROPN
cana-4458	4	106	and	and	CCONJ
cana-4458	4	107	around	around	ADP
cana-4458	4	108	the	the	DET
cana-4458	4	109	world	world	NOUN
cana-4458	4	110	.	.	PUNCT
cana-4458	5	1	the	the	DET
cana-4458	5	2	current	current	ADJ
cana-4458	5	3	flood	flood	NOUN
cana-4458	5	4	analysis	analysis	NOUN
cana-4458	5	5	study	study	NOUN
cana-4458	5	6	focusses	focusse	VERB
cana-4458	5	7	on	on	ADP
cana-4458	5	8	coastal	coastal	ADJ
cana-4458	5	9	karnataka	karnataka	ADJ
cana-4458	5	10	regions	region	NOUN
cana-4458	5	11	namely	namely	ADV
cana-4458	5	12	dakshina	dakshina	VERB
cana-4458	5	13	kannada	kannada	PROPN
cana-4458	5	14	,	,	PUNCT
cana-4458	5	15	udupi	udupi	PROPN
cana-4458	5	16	,	,	PUNCT
cana-4458	5	17	uttara	uttara	PROPN
cana-4458	5	18	kannada	kannada	PROPN
cana-4458	5	19	,	,	PUNCT
cana-4458	5	20	chikkamagalur	chikkamagalur	PROPN
cana-4458	5	21	,	,	PUNCT
cana-4458	5	22	kodagu	kodagu	NOUN
cana-4458	5	23	,	,	PUNCT
cana-4458	5	24	and	and	CCONJ
cana-4458	5	25	shivamogga	shivamogga	PROPN
cana-4458	5	26	also	also	ADV
cana-4458	5	27	known	know	VERB
cana-4458	5	28	as	as	ADP
cana-4458	5	29	flood	flood	NOUN
cana-4458	5	30	prone	prone	ADJ
cana-4458	5	31	regions	region	NOUN
cana-4458	5	32	of	of	ADP
cana-4458	5	33	karnataka	karnataka	PROPN
cana-4458	5	34	due	due	ADP
cana-4458	5	35	to	to	ADP
cana-4458	5	36	heavy	heavy	ADJ
cana-4458	5	37	rainfall	rainfall	NOUN
cana-4458	5	38	recorded	record	VERB
cana-4458	5	39	every	every	DET
cana-4458	5	40	year	year	NOUN
cana-4458	5	41	.	.	PUNCT
cana-4458	6	1	after	after	ADP
cana-4458	6	2	being	be	AUX
cana-4458	6	3	rainfall	rainfall	NOUN
cana-4458	6	4	data	datum	NOUN
cana-4458	6	5	collected	collect	VERB
cana-4458	6	6	for	for	ADP
cana-4458	6	7	57	57	NUM
cana-4458	6	8	years	year	NOUN
cana-4458	6	9	,	,	PUNCT
cana-4458	6	10	the	the	DET
cana-4458	6	11	southwest	southwest	ADJ
cana-4458	6	12	monsoon	monsoon	NOUN
cana-4458	6	13	rainfall	rainfall	NOUN
cana-4458	6	14	data	datum	NOUN
cana-4458	6	15	for	for	ADP
cana-4458	6	16	these	these	DET
cana-4458	6	17	areas	area	NOUN
cana-4458	6	18	is	be	AUX
cana-4458	6	19	examined	examine	VERB
cana-4458	6	20	and	and	CCONJ
cana-4458	6	21	put	put	VERB
cana-4458	6	22	through	through	ADP
cana-4458	6	23	a	a	DET
cana-4458	6	24	gaussian	gaussian	ADJ
cana-4458	6	25	-	-	PUNCT
cana-4458	6	26	gamma	gamma	NOUN
cana-4458	6	27	mixture	mixture	NOUN
cana-4458	6	28	(	(	PUNCT
cana-4458	6	29	ggm	ggm	NOUN
cana-4458	6	30	)	)	PUNCT
cana-4458	6	31	model	model	NOUN
cana-4458	6	32	.	.	PUNCT
cana-4458	7	1	this	this	PRON
cana-4458	7	2	is	be	AUX
cana-4458	7	3	because	because	SCONJ
cana-4458	7	4	rainfall	rainfall	NOUN
cana-4458	7	5	data	datum	NOUN
cana-4458	7	6	has	have	VERB
cana-4458	7	7	multimodal	multimodal	NOUN
cana-4458	7	8	characteristics	characteristic	NOUN
cana-4458	7	9	and	and	CCONJ
cana-4458	7	10	does	do	AUX
cana-4458	7	11	not	not	PART
cana-4458	7	12	follow	follow	VERB
cana-4458	7	13	a	a	DET
cana-4458	7	14	gaussian	gaussian	ADJ
cana-4458	7	15	distribution	distribution	NOUN
cana-4458	7	16	.	.	PUNCT
cana-4458	8	1	prior	prior	ADV
cana-4458	8	2	presenting	present	VERB
cana-4458	8	3	the	the	DET
cana-4458	8	4	data	datum	NOUN
cana-4458	8	5	to	to	ADP
cana-4458	8	6	the	the	DET
cana-4458	8	7	ggm	ggm	PROPN
cana-4458	8	8	model	model	NOUN
cana-4458	8	9	,	,	PUNCT
cana-4458	8	10	the	the	DET
cana-4458	8	11	data	datum	NOUN
cana-4458	8	12	was	be	AUX
cana-4458	8	13	normalized	normalize	VERB
cana-4458	8	14	in	in	ADP
cana-4458	8	15	order	order	NOUN
cana-4458	8	16	to	to	PART
cana-4458	8	17	do	do	AUX
cana-4458	8	18	the	the	DET
cana-4458	8	19	comprehensive	comprehensive	ADJ
cana-4458	8	20	statistical	statistical	ADJ
cana-4458	8	21	analysis	analysis	NOUN
cana-4458	8	22	.	.	PUNCT
cana-4458	9	1	the	the	DET
cana-4458	9	2	maximum	maximum	ADJ
cana-4458	9	3	likelihood	likelihood	NOUN
cana-4458	9	4	estimator	estimator	NOUN
cana-4458	9	5	method	method	NOUN
cana-4458	9	6	is	be	AUX
cana-4458	9	7	used	use	VERB
cana-4458	9	8	to	to	PART
cana-4458	9	9	determine	determine	VERB
cana-4458	9	10	the	the	DET
cana-4458	9	11	parameters	parameter	NOUN
cana-4458	9	12	involved	involve	VERB
cana-4458	9	13	in	in	ADP
cana-4458	9	14	the	the	DET
cana-4458	9	15	ggm	ggm	PROPN
cana-4458	9	16	model	model	NOUN
cana-4458	9	17	.	.	PUNCT
cana-4458	10	1	the	the	DET
cana-4458	10	2	data	datum	NOUN
cana-4458	10	3	is	be	AUX
cana-4458	10	4	seen	see	VERB
cana-4458	10	5	to	to	PART
cana-4458	10	6	follow	follow	VERB
cana-4458	10	7	the	the	DET
cana-4458	10	8	ggm	ggm	NOUN
cana-4458	10	9	distribution	distribution	NOUN
cana-4458	10	10	,	,	PUNCT
cana-4458	10	11	and	and	CCONJ
cana-4458	10	12	the	the	DET
cana-4458	10	13	model	model	NOUN
cana-4458	10	14	able	able	ADJ
cana-4458	10	15	to	to	PART
cana-4458	10	16	capture	capture	VERB
cana-4458	10	17	the	the	DET
cana-4458	10	18	data	datum	NOUN
cana-4458	10	19	's	's	PART
cana-4458	10	20	moments	moment	NOUN
cana-4458	10	21	.	.	PUNCT
cana-4458	11	1	with	with	ADP
cana-4458	11	2	this	this	PRON
cana-4458	11	3	in	in	ADP
cana-4458	11	4	view	view	NOUN
cana-4458	11	5	,	,	PUNCT
cana-4458	11	6	level	level	NOUN
cana-4458	11	7	crossing	crossing	NOUN
cana-4458	11	8	statistics	statistic	NOUN
cana-4458	11	9	are	be	AUX
cana-4458	11	10	calculated	calculate	VERB
cana-4458	11	11	and	and	CCONJ
cana-4458	11	12	computed	compute	VERB
cana-4458	11	13	for	for	ADP
cana-4458	11	14	the	the	DET
cana-4458	11	15	data	datum	NOUN
cana-4458	11	16	length	length	NOUN
cana-4458	11	17	used	use	VERB
cana-4458	11	18	at	at	ADP
cana-4458	11	19	10	10	NUM
cana-4458	11	20	%	%	NOUN
cana-4458	11	21	and	and	CCONJ
cana-4458	11	22	20	20	NUM
cana-4458	11	23	%	%	NOUN
cana-4458	11	24	above	above	ADP
cana-4458	11	25	normal	normal	ADJ
cana-4458	11	26	values	value	NOUN
cana-4458	11	27	using	use	VERB
cana-4458	11	28	ggm	ggm	NOUN
cana-4458	11	29	model	model	NOUN
cana-4458	11	30	and	and	CCONJ
cana-4458	11	31	gaussian	gaussian	ADJ
cana-4458	11	32	model	model	NOUN
cana-4458	11	33	.	.	PUNCT
cana-4458	12	1	the	the	DET
cana-4458	12	2	comparison	comparison	NOUN
cana-4458	12	3	shows	show	VERB
cana-4458	12	4	that	that	SCONJ
cana-4458	12	5	ggm	ggm	PROPN
cana-4458	12	6	model	model	NOUN
cana-4458	12	7	is	be	AUX
cana-4458	12	8	able	able	ADJ
cana-4458	12	9	to	to	PART
cana-4458	12	10	capture	capture	VERB
cana-4458	12	11	the	the	DET
cana-4458	12	12	flood	flood	NOUN
cana-4458	12	13	events	event	NOUN
cana-4458	12	14	of	of	ADP
cana-4458	12	15	the	the	DET
cana-4458	12	16	regions	region	NOUN
cana-4458	12	17	considered	consider	VERB
cana-4458	12	18	for	for	ADP
cana-4458	12	19	the	the	DET
cana-4458	12	20	current	current	ADJ
cana-4458	12	21	study	study	NOUN
cana-4458	12	22	better	well	ADV
cana-4458	12	23	than	than	ADP
cana-4458	12	24	the	the	DET
cana-4458	12	25	gaussian	gaussian	ADJ
cana-4458	12	26	model	model	NOUN
cana-4458	12	27	both	both	CCONJ
cana-4458	12	28	at	at	ADP
cana-4458	12	29	10	10	NUM
cana-4458	12	30	%	%	NOUN
cana-4458	12	31	and	and	CCONJ
cana-4458	12	32	20	20	NUM
cana-4458	12	33	%	%	NOUN
cana-4458	12	34	above	above	ADP
cana-4458	12	35	normal	normal	ADJ
cana-4458	12	36	values	value	NOUN
cana-4458	12	37	.	.	PUNCT
cana-4458	13	1	for	for	ADP
cana-4458	13	2	karnataka	karnataka	PROPN
cana-4458	13	3	's	's	PART
cana-4458	13	4	flood	flood	NOUN
cana-4458	13	5	-	-	PUNCT
cana-4458	13	6	prone	prone	ADJ
cana-4458	13	7	areas	area	NOUN
cana-4458	13	8	,	,	PUNCT
cana-4458	13	9	this	this	DET
cana-4458	13	10	research	research	NOUN
cana-4458	13	11	provides	provide	VERB
cana-4458	13	12	vital	vital	ADJ
cana-4458	13	13	insights	insight	NOUN
cana-4458	13	14	into	into	ADP
cana-4458	13	15	flood	flood	NOUN
cana-4458	13	16	risk	risk	NOUN
cana-4458	13	17	management	management	NOUN
cana-4458	13	18	,	,	PUNCT
cana-4458	13	19	supporting	support	VERB
cana-4458	13	20	proactive	proactive	ADJ
cana-4458	13	21	disaster	disaster	NOUN
cana-4458	13	22	mitigation	mitigation	NOUN
cana-4458	13	23	,	,	PUNCT
cana-4458	13	24	efficient	efficient	ADJ
cana-4458	13	25	resource	resource	NOUN
cana-4458	13	26	planning	planning	NOUN
cana-4458	13	27	,	,	PUNCT
cana-4458	13	28	and	and	CCONJ
cana-4458	13	29	climate	climate	NOUN
cana-4458	13	30	adaption	adaption	NOUN
cana-4458	13	31	measures	measure	NOUN
cana-4458	13	32	.	.	PUNCT
cana-4458	14	1	keywords	keyword	NOUN
cana-4458	14	2	:	:	PUNCT
cana-4458	14	3	flood	flood	NOUN
cana-4458	14	4	-	-	PUNCT
cana-4458	14	5	prone	prone	ADJ
cana-4458	14	6	regions	region	NOUN
cana-4458	14	7	,	,	PUNCT
cana-4458	14	8	heavy	heavy	ADJ
cana-4458	14	9	rainfall	rainfall	NOUN
cana-4458	14	10	,	,	PUNCT
cana-4458	14	11	gaussian	gaussian	ADJ
cana-4458	14	12	distribution	distribution	NOUN
cana-4458	14	13	,	,	PUNCT
cana-4458	14	14	gamma	gamma	NOUN
cana-4458	14	15	distribution	distribution	NOUN
cana-4458	14	16	,	,	PUNCT
cana-4458	14	17	mixture	mixture	NOUN
cana-4458	14	18	model	model	NOUN
cana-4458	14	19	,	,	PUNCT
cana-4458	14	20	level	level	NOUN
cana-4458	14	21	crossing	crossing	NOUN
cana-4458	14	22	.	.	PUNCT
cana-4458	15	1	introduction	introduction	NOUN
cana-4458	15	2	:	:	PUNCT
cana-4458	15	3	one	one	NUM
cana-4458	15	4	of	of	ADP
cana-4458	15	5	karnataka	karnataka	PROPN
cana-4458	15	6	's	's	PART
cana-4458	15	7	environmental	environmental	ADJ
cana-4458	15	8	problems	problem	NOUN
cana-4458	15	9	is	be	AUX
cana-4458	15	10	flooding	flood	VERB
cana-4458	15	11	,	,	PUNCT
cana-4458	15	12	which	which	PRON
cana-4458	15	13	has	have	VERB
cana-4458	15	14	an	an	DET
cana-4458	15	15	impact	impact	NOUN
cana-4458	15	16	on	on	ADP
cana-4458	15	17	ecosystems	ecosystem	NOUN
cana-4458	15	18	,	,	PUNCT
cana-4458	15	19	infrastructure	infrastructure	NOUN
cana-4458	15	20	,	,	PUNCT
cana-4458	15	21	agriculture	agriculture	NOUN
cana-4458	15	22	,	,	PUNCT
cana-4458	15	23	and	and	CCONJ
cana-4458	15	24	human	human	ADJ
cana-4458	15	25	life	life	NOUN
cana-4458	15	26	.	.	PUNCT
cana-4458	16	1	the	the	DET
cana-4458	16	2	state	state	NOUN
cana-4458	16	3	's	's	PART
cana-4458	16	4	diverse	diverse	ADJ
cana-4458	16	5	terrain	terrain	NOUN
cana-4458	16	6	,	,	PUNCT
cana-4458	16	7	which	which	PRON
cana-4458	16	8	includes	include	VERB
cana-4458	16	9	plateau	plateau	NOUN
cana-4458	16	10	,	,	PUNCT
cana-4458	16	11	hilly	hilly	ADV
cana-4458	16	12	,	,	PUNCT
cana-4458	16	13	and	and	CCONJ
cana-4458	16	14	coastal	coastal	ADJ
cana-4458	16	15	regions	region	NOUN
cana-4458	16	16	,	,	PUNCT
cana-4458	16	17	raises	raise	VERB
cana-4458	16	18	the	the	DET
cana-4458	16	19	possibility	possibility	NOUN
cana-4458	16	20	of	of	ADP
cana-4458	16	21	floods	flood	NOUN
cana-4458	16	22	of	of	ADP
cana-4458	16	23	varying	vary	VERB
cana-4458	16	24	severity	severity	NOUN
cana-4458	16	25	,	,	PUNCT
cana-4458	16	26	especially	especially	ADV
cana-4458	16	27	in	in	ADP
cana-4458	16	28	areas	area	NOUN
cana-4458	16	29	that	that	PRON
cana-4458	16	30	are	be	AUX
cana-4458	16	31	prone	prone	ADJ
cana-4458	16	32	to	to	ADP
cana-4458	16	33	flooding	flood	VERB
cana-4458	16	34	like	like	ADP
cana-4458	16	35	dakshina	dakshina	PROPN
cana-4458	16	36	kannada	kannada	PROPN
cana-4458	16	37	,	,	PUNCT
cana-4458	16	38	udupi	udupi	PROPN
cana-4458	16	39	,	,	PUNCT
cana-4458	16	40	uttara	uttara	PROPN
cana-4458	16	41	kannada	kannada	PROPN
cana-4458	16	42	,	,	PUNCT
cana-4458	16	43	chikkamagalur	chikkamagalur	PROPN
cana-4458	16	44	,	,	PUNCT
cana-4458	16	45	kodagu	kodagu	NOUN
cana-4458	16	46	,	,	PUNCT
cana-4458	16	47	and	and	CCONJ
cana-4458	16	48	shivamogga	shivamogga	NOUN
cana-4458	16	49	.	.	PUNCT
cana-4458	17	1	due	due	ADP
cana-4458	17	2	to	to	ADP
cana-4458	17	3	heavy	heavy	ADJ
cana-4458	17	4	monsoonal	monsoonal	ADJ
cana-4458	17	5	rainfall	rainfall	NOUN
cana-4458	17	6	,	,	PUNCT
cana-4458	17	7	river	river	NOUN
cana-4458	17	8	overflow	overflow	NOUN
cana-4458	17	9	,	,	PUNCT
cana-4458	17	10	and	and	CCONJ
cana-4458	17	11	shifting	shift	VERB
cana-4458	17	12	climatic	climatic	ADJ
cana-4458	17	13	patterns	pattern	NOUN
cana-4458	17	14	,	,	PUNCT
cana-4458	17	15	these	these	DET
cana-4458	17	16	areas	area	NOUN
cana-4458	17	17	frequently	frequently	ADV
cana-4458	17	18	flood	flood	VERB
cana-4458	17	19	,	,	PUNCT
cana-4458	17	20	underscoring	underscore	VERB
cana-4458	17	21	the	the	DET
cana-4458	17	22	necessity	necessity	NOUN
cana-4458	17	23	of	of	ADP
cana-4458	17	24	effective	effective	ADJ
cana-4458	17	25	flood	flood	NOUN
cana-4458	17	26	risk	risk	NOUN
cana-4458	17	27	assessment	assessment	NOUN
cana-4458	17	28	and	and	CCONJ
cana-4458	17	29	management	management	NOUN
cana-4458	17	30	plans	plan	NOUN
cana-4458	17	31	.	.	PUNCT
cana-4458	18	1	to	to	PART
cana-4458	18	2	comprehend	comprehend	VERB
cana-4458	18	3	flood	flood	NOUN
cana-4458	18	4	dynamics	dynamic	NOUN
cana-4458	18	5	and	and	CCONJ
cana-4458	18	6	lessen	lessen	VERB
cana-4458	18	7	their	their	PRON
cana-4458	18	8	effects	effect	NOUN
cana-4458	18	9	,	,	PUNCT
cana-4458	18	10	precise	precise	ADJ
cana-4458	18	11	rainfall	rainfall	NOUN
cana-4458	18	12	pattern	pattern	NOUN
cana-4458	18	13	modelling	modelling	NOUN
cana-4458	18	14	and	and	CCONJ
cana-4458	18	15	mailto:kumudhamayur@gmail.com	mailto:kumudhamayur@gmail.com	NOUN
cana-4458	18	16	communications	communication	NOUN
cana-4458	18	17	on	on	ADP
cana-4458	18	18	applied	apply	VERB
cana-4458	18	19	nonlinear	nonlinear	ADJ
cana-4458	18	20	analysis	analysis	NOUN
cana-4458	18	21	issn	issn	NOUN
cana-4458	18	22	:	:	PUNCT
cana-4458	18	23	1074	1074	NUM
cana-4458	18	24	-	-	PUNCT
cana-4458	18	25	133x	133x	NUM
cana-4458	18	26	vol	vol	NOUN
cana-4458	18	27	32	32	NUM
cana-4458	18	28	no	no	NOUN
cana-4458	18	29	.	.	PUNCT
cana-4458	19	1	9s	9s	NUM
cana-4458	19	2	(	(	PUNCT
cana-4458	19	3	2025	2025	NUM
cana-4458	19	4	)	)	PUNCT
cana-4458	19	5	2217	2217	NUM
cana-4458	19	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4458	19	7	forecast	forecast	NOUN
cana-4458	19	8	are	be	AUX
cana-4458	19	9	essential	essential	ADJ
cana-4458	19	10	.	.	PUNCT
cana-4458	20	1	to	to	PART
cana-4458	20	2	capture	capture	VERB
cana-4458	20	3	the	the	DET
cana-4458	20	4	intricate	intricate	ADJ
cana-4458	20	5	features	feature	NOUN
cana-4458	20	6	of	of	ADP
cana-4458	20	7	rainfall	rainfall	NOUN
cana-4458	20	8	data	datum	NOUN
cana-4458	20	9	,	,	PUNCT
cana-4458	20	10	including	include	VERB
cana-4458	20	11	variability	variability	NOUN
cana-4458	20	12	,	,	PUNCT
cana-4458	20	13	skewness	skewness	NOUN
cana-4458	20	14	,	,	PUNCT
cana-4458	20	15	and	and	CCONJ
cana-4458	20	16	extreme	extreme	ADJ
cana-4458	20	17	events	event	NOUN
cana-4458	20	18	,	,	PUNCT
cana-4458	20	19	sophisticated	sophisticated	ADJ
cana-4458	20	20	statistical	statistical	ADJ
cana-4458	20	21	techniques	technique	NOUN
cana-4458	20	22	are	be	AUX
cana-4458	20	23	required	require	VERB
cana-4458	20	24	.	.	PUNCT
cana-4458	21	1	the	the	DET
cana-4458	21	2	gaussian	gaussian	ADJ
cana-4458	21	3	models	model	NOUN
cana-4458	21	4	often	often	ADV
cana-4458	21	5	fail	fail	VERB
cana-4458	21	6	to	to	PART
cana-4458	21	7	represent	represent	VERB
cana-4458	21	8	the	the	DET
cana-4458	21	9	full	full	ADJ
cana-4458	21	10	range	range	NOUN
cana-4458	21	11	of	of	ADP
cana-4458	21	12	rainfall	rainfall	NOUN
cana-4458	21	13	behaviours	behaviour	NOUN
cana-4458	21	14	,	,	PUNCT
cana-4458	21	15	particularly	particularly	ADV
cana-4458	21	16	under	under	ADP
cana-4458	21	17	extreme	extreme	ADJ
cana-4458	21	18	conditions	condition	NOUN
cana-4458	21	19	,	,	PUNCT
cana-4458	21	20	necessitating	necessitate	VERB
cana-4458	21	21	a	a	DET
cana-4458	21	22	more	more	ADV
cana-4458	21	23	comprehensive	comprehensive	ADJ
cana-4458	21	24	approach	approach	NOUN
cana-4458	21	25	like	like	ADP
cana-4458	21	26	the	the	DET
cana-4458	21	27	gaussian	gaussian	NOUN
cana-4458	21	28	and	and	CCONJ
cana-4458	21	29	gamma	gamma	NOUN
cana-4458	21	30	mixture	mixture	NOUN
cana-4458	21	31	model	model	NOUN
cana-4458	21	32	(	(	PUNCT
cana-4458	21	33	ggm	ggm	PROPN
cana-4458	21	34	)	)	PUNCT
cana-4458	21	35	.	.	PUNCT
cana-4458	22	1	when	when	SCONJ
cana-4458	22	2	dealing	deal	VERB
cana-4458	22	3	with	with	ADP
cana-4458	22	4	non	non	ADJ
cana-4458	22	5	-	-	ADJ
cana-4458	22	6	gaussian	gaussian	ADJ
cana-4458	22	7	time	time	NOUN
cana-4458	22	8	series	series	PROPN
cana-4458	22	9	data	data	PROPN
cana-4458	22	10	,	,	PUNCT
cana-4458	22	11	defining	define	VERB
cana-4458	22	12	it	it	PRON
cana-4458	22	13	in	in	ADP
cana-4458	22	14	terms	term	NOUN
cana-4458	22	15	of	of	ADP
cana-4458	22	16	key	key	ADJ
cana-4458	22	17	moments	moment	NOUN
cana-4458	22	18	and	and	CCONJ
cana-4458	22	19	the	the	DET
cana-4458	22	20	power	power	NOUN
cana-4458	22	21	spectral	spectral	ADJ
cana-4458	22	22	density	density	NOUN
cana-4458	22	23	function	function	NOUN
cana-4458	22	24	is	be	AUX
cana-4458	22	25	often	often	ADV
cana-4458	22	26	preferred	prefer	VERB
cana-4458	22	27	.	.	PUNCT
cana-4458	23	1	gaussian	gaussian	ADJ
cana-4458	23	2	processes	process	NOUN
cana-4458	23	3	are	be	AUX
cana-4458	23	4	widely	widely	ADV
cana-4458	23	5	used	use	VERB
cana-4458	23	6	for	for	ADP
cana-4458	23	7	this	this	PRON
cana-4458	23	8	,	,	PUNCT
cana-4458	23	9	and	and	CCONJ
cana-4458	23	10	their	their	PRON
cana-4458	23	11	transformations	transformation	NOUN
cana-4458	23	12	can	can	AUX
cana-4458	23	13	serve	serve	VERB
cana-4458	23	14	as	as	ADP
cana-4458	23	15	effective	effective	ADJ
cana-4458	23	16	non	non	ADJ
cana-4458	23	17	-	-	ADJ
cana-4458	23	18	gaussian	gaussian	ADJ
cana-4458	23	19	modeling	modeling	NOUN
cana-4458	23	20	approaches	approach	NOUN
cana-4458	23	21	.	.	PUNCT
cana-4458	24	1	navneet	navneet	PROPN
cana-4458	24	2	kumar	kumar	PROPN
cana-4458	24	3	,	,	PUNCT
cana-4458	24	4	bernhard	bernhard	PROPN
cana-4458	24	5	tischbein	tischbein	PROPN
cana-4458	24	6	,	,	PUNCT
cana-4458	24	7	and	and	CCONJ
cana-4458	24	8	mirza	mirza	PROPN
cana-4458	24	9	kaleem	kaleem	PROPN
cana-4458	24	10	beg	beg	AUX
cana-4458	24	11	explored	explore	VERB
cana-4458	24	12	rainfall	rainfall	NOUN
cana-4458	24	13	and	and	CCONJ
cana-4458	24	14	temperature	temperature	NOUN
cana-4458	24	15	trends	trend	NOUN
cana-4458	24	16	in	in	ADP
cana-4458	24	17	india	india	PROPN
cana-4458	24	18	’s	’s	PART
cana-4458	24	19	upper	upper	ADJ
cana-4458	24	20	kharun	kharun	NOUN
cana-4458	24	21	catchment	catchment	NOUN
cana-4458	24	22	using	use	VERB
cana-4458	24	23	various	various	ADJ
cana-4458	24	24	trend	trend	NOUN
cana-4458	24	25	detection	detection	NOUN
cana-4458	24	26	methods	method	NOUN
cana-4458	24	27	,	,	PUNCT
cana-4458	24	28	including	include	VERB
cana-4458	24	29	an	an	DET
cana-4458	24	30	innovative	innovative	ADJ
cana-4458	24	31	gaussian	gaussian	ADJ
cana-4458	24	32	-	-	PUNCT
cana-4458	24	33	linear	linear	ADJ
cana-4458	24	34	trend	trend	NOUN
cana-4458	24	35	detection	detection	NOUN
cana-4458	24	36	test	test	NOUN
cana-4458	24	37	.	.	PUNCT
cana-4458	25	1	analyzing	analyze	VERB
cana-4458	25	2	rainfall	rainfall	NOUN
cana-4458	25	3	data	datum	NOUN
cana-4458	25	4	from	from	ADP
cana-4458	25	5	1961	1961	NUM
cana-4458	25	6	to	to	ADP
cana-4458	25	7	2011	2011	NUM
cana-4458	25	8	revealed	reveal	VERB
cana-4458	25	9	no	no	DET
cana-4458	25	10	significant	significant	ADJ
cana-4458	25	11	trends	trend	NOUN
cana-4458	25	12	except	except	SCONJ
cana-4458	25	13	for	for	ADP
cana-4458	25	14	an	an	DET
cana-4458	25	15	increase	increase	NOUN
cana-4458	25	16	in	in	ADP
cana-4458	25	17	peak	peak	NOUN
cana-4458	25	18	monthly	monthly	ADJ
cana-4458	25	19	rainfall	rainfall	NOUN
cana-4458	25	20	,	,	PUNCT
cana-4458	25	21	while	while	SCONJ
cana-4458	25	22	temperature	temperature	NOUN
cana-4458	25	23	data	datum	NOUN
cana-4458	25	24	displayed	display	VERB
cana-4458	25	25	slight	slight	ADJ
cana-4458	25	26	monthly	monthly	ADJ
cana-4458	25	27	increases	increase	NOUN
cana-4458	25	28	.	.	PUNCT
cana-4458	26	1	their	their	PRON
cana-4458	26	2	work	work	NOUN
cana-4458	26	3	provides	provide	VERB
cana-4458	26	4	insights	insight	NOUN
cana-4458	26	5	into	into	ADP
cana-4458	26	6	local	local	ADJ
cana-4458	26	7	climate	climate	NOUN
cana-4458	26	8	dynamics	dynamic	NOUN
cana-4458	26	9	and	and	CCONJ
cana-4458	26	10	resource	resource	NOUN
cana-4458	26	11	management	management	NOUN
cana-4458	26	12	,	,	PUNCT
cana-4458	26	13	aiding	aid	VERB
cana-4458	26	14	climate	climate	NOUN
cana-4458	26	15	adaptation	adaptation	NOUN
cana-4458	26	16	strategies	strategy	NOUN
cana-4458	26	17	.	.	PUNCT
cana-4458	27	1	kandula	kandula	PROPN
cana-4458	27	2	v.	v.	ADP
cana-4458	27	3	subrahmanyam	subrahmanyam	PROPN
cana-4458	27	4	et	et	PROPN
cana-4458	27	5	al	al	PROPN
cana-4458	27	6	.	.	PROPN
cana-4458	27	7	examined	examine	VERB
cana-4458	27	8	heavy	heavy	ADJ
cana-4458	27	9	rainfall	rainfall	NOUN
cana-4458	27	10	predictions	prediction	NOUN
cana-4458	27	11	over	over	ADP
cana-4458	27	12	a	a	DET
cana-4458	27	13	peninsular	peninsular	ADJ
cana-4458	27	14	indian	indian	ADJ
cana-4458	27	15	station	station	NOUN
cana-4458	27	16	using	use	VERB
cana-4458	27	17	machine	machine	NOUN
cana-4458	27	18	learning	learning	NOUN
cana-4458	27	19	,	,	PUNCT
cana-4458	27	20	emphasizing	emphasize	VERB
cana-4458	27	21	the	the	DET
cana-4458	27	22	limitations	limitation	NOUN
cana-4458	27	23	of	of	ADP
cana-4458	27	24	traditional	traditional	ADJ
cana-4458	27	25	numerical	numerical	ADJ
cana-4458	27	26	weather	weather	PROPN
cana-4458	27	27	prediction	prediction	NOUN
cana-4458	27	28	models	model	NOUN
cana-4458	27	29	.	.	PUNCT
cana-4458	28	1	they	they	PRON
cana-4458	28	2	proposed	propose	VERB
cana-4458	28	3	gaussian	gaussian	ADJ
cana-4458	28	4	process	process	NOUN
cana-4458	28	5	regression	regression	NOUN
cana-4458	28	6	(	(	PUNCT
cana-4458	28	7	gpr	gpr	PROPN
cana-4458	28	8	)	)	PUNCT
cana-4458	28	9	for	for	ADP
cana-4458	28	10	predicting	predict	VERB
cana-4458	28	11	heavy	heavy	ADJ
cana-4458	28	12	and	and	CCONJ
cana-4458	28	13	light	light	ADJ
cana-4458	28	14	rainfall	rainfall	NOUN
cana-4458	28	15	days	day	NOUN
cana-4458	28	16	,	,	PUNCT
cana-4458	28	17	utilizing	utilize	VERB
cana-4458	28	18	116	116	NUM
cana-4458	28	19	years	year	NOUN
cana-4458	28	20	of	of	ADP
cana-4458	28	21	rainfall	rainfall	NOUN
cana-4458	28	22	data	datum	NOUN
cana-4458	28	23	from	from	ADP
cana-4458	28	24	sriharikota	sriharikota	NOUN
cana-4458	28	25	,	,	PUNCT
cana-4458	28	26	india	india	PROPN
cana-4458	28	27	.	.	PUNCT
cana-4458	29	1	the	the	DET
cana-4458	29	2	gpr	gpr	PROPN
cana-4458	29	3	model	model	NOUN
cana-4458	29	4	outperformed	outperform	VERB
cana-4458	29	5	other	other	ADJ
cana-4458	29	6	methods	method	NOUN
cana-4458	29	7	,	,	PUNCT
cana-4458	29	8	achieving	achieve	VERB
cana-4458	29	9	low	low	ADJ
cana-4458	29	10	error	error	NOUN
cana-4458	29	11	rates	rate	NOUN
cana-4458	29	12	(	(	PUNCT
cana-4458	29	13	rmse	rmse	NOUN
cana-4458	29	14	=	=	PROPN
cana-4458	29	15	0.161	0.161	NUM
cana-4458	29	16	;	;	PUNCT
cana-4458	29	17	mae	mae	PROPN
cana-4458	29	18	=	=	PROPN
cana-4458	29	19	0.126	0.126	NUM
cana-4458	29	20	)	)	PUNCT
cana-4458	29	21	and	and	CCONJ
cana-4458	29	22	showing	show	VERB
cana-4458	29	23	potential	potential	NOUN
cana-4458	29	24	for	for	ADP
cana-4458	29	25	spatial	spatial	ADJ
cana-4458	29	26	rainfall	rainfall	NOUN
cana-4458	29	27	predictions	prediction	NOUN
cana-4458	29	28	across	across	ADP
cana-4458	29	29	india	india	PROPN
cana-4458	29	30	.	.	PUNCT
cana-4458	30	1	supported	support	VERB
cana-4458	30	2	by	by	ADP
cana-4458	30	3	isro	isro	PROPN
cana-4458	30	4	and	and	CCONJ
cana-4458	30	5	imd	imd	PROPN
cana-4458	30	6	data	data	PROPN
cana-4458	30	7	,	,	PUNCT
cana-4458	30	8	this	this	DET
cana-4458	30	9	study	study	NOUN
cana-4458	30	10	demonstrates	demonstrate	VERB
cana-4458	30	11	gpr	gpr	PROPN
cana-4458	30	12	’s	’s	PART
cana-4458	30	13	value	value	NOUN
cana-4458	30	14	in	in	ADP
cana-4458	30	15	heavy	heavy	ADJ
cana-4458	30	16	rainfall	rainfall	NOUN
cana-4458	30	17	prediction	prediction	NOUN
cana-4458	30	18	.	.	PUNCT
cana-4458	31	1	md	md	PROPN
cana-4458	31	2	.	.	PROPN
cana-4458	32	1	ashraful	ashraful	PROPN
cana-4458	32	2	alam	alam	PROPN
cana-4458	32	3	,	,	PUNCT
cana-4458	32	4	craig	craig	PROPN
cana-4458	32	5	farnham	farnham	PROPN
cana-4458	32	6	,	,	PUNCT
cana-4458	32	7	and	and	CCONJ
cana-4458	32	8	kazuo	kazuo	PROPN
cana-4458	32	9	emura	emura	PROPN
cana-4458	32	10	studied	study	VERB
cana-4458	32	11	maximum	maximum	ADJ
cana-4458	32	12	monthly	monthly	ADJ
cana-4458	32	13	rainfall	rainfall	NOUN
cana-4458	32	14	in	in	ADP
cana-4458	32	15	bangladesh	bangladesh	NOUN
cana-4458	32	16	using	use	VERB
cana-4458	32	17	gaussian	gaussian	ADJ
cana-4458	32	18	distributions	distribution	NOUN
cana-4458	32	19	.	.	PUNCT
cana-4458	33	1	they	they	PRON
cana-4458	33	2	found	find	VERB
cana-4458	33	3	single	single	ADJ
cana-4458	33	4	gaussian	gaussian	ADJ
cana-4458	33	5	distributions	distribution	NOUN
cana-4458	33	6	to	to	PART
cana-4458	33	7	be	be	AUX
cana-4458	33	8	the	the	DET
cana-4458	33	9	best	good	ADJ
cana-4458	33	10	fit	fit	NOUN
cana-4458	33	11	for	for	ADP
cana-4458	33	12	51	51	NUM
cana-4458	33	13	%	%	NOUN
cana-4458	33	14	of	of	ADP
cana-4458	33	15	weather	weather	NOUN
cana-4458	33	16	stations	station	NOUN
cana-4458	33	17	,	,	PUNCT
cana-4458	33	18	while	while	SCONJ
cana-4458	33	19	multiple	multiple	ADJ
cana-4458	33	20	-	-	PUNCT
cana-4458	33	21	component	component	NOUN
cana-4458	33	22	gaussian	gaussian	ADJ
cana-4458	33	23	distributions	distribution	NOUN
cana-4458	33	24	(	(	PUNCT
cana-4458	33	25	n2	n2	ADJ
cana-4458	33	26	,	,	PUNCT
cana-4458	33	27	n3	n3	PROPN
cana-4458	33	28	,	,	PUNCT
cana-4458	33	29	n5	n5	PROPN
cana-4458	33	30	)	)	PUNCT
cana-4458	33	31	were	be	AUX
cana-4458	33	32	optimal	optimal	ADJ
cana-4458	33	33	for	for	ADP
cana-4458	33	34	others	other	NOUN
cana-4458	33	35	.	.	PUNCT
cana-4458	34	1	return	return	VERB
cana-4458	34	2	periods	period	NOUN
cana-4458	34	3	for	for	ADP
cana-4458	34	4	extreme	extreme	ADJ
cana-4458	34	5	rainfall	rainfall	NOUN
cana-4458	34	6	were	be	AUX
cana-4458	34	7	calculated	calculate	VERB
cana-4458	34	8	for	for	ADP
cana-4458	34	9	policymaking	policymake	VERB
cana-4458	34	10	,	,	PUNCT
cana-4458	34	11	aiding	aid	VERB
cana-4458	34	12	disaster	disaster	NOUN
cana-4458	34	13	management	management	NOUN
cana-4458	34	14	and	and	CCONJ
cana-4458	34	15	risk	risk	NOUN
cana-4458	34	16	assessment	assessment	NOUN
cana-4458	34	17	for	for	ADP
cana-4458	34	18	floods	flood	NOUN
cana-4458	34	19	and	and	CCONJ
cana-4458	34	20	landslides	landslide	NOUN
cana-4458	34	21	.	.	PUNCT
cana-4458	35	1	c.a	c.a	PROPN
cana-4458	35	2	.	.	PROPN
cana-4458	35	3	glasbey	glasbey	PROPN
cana-4458	35	4	and	and	CCONJ
cana-4458	35	5	i.m	i.m	PROPN
cana-4458	35	6	.	.	PROPN
cana-4458	35	7	nevison	nevison	PROPN
cana-4458	35	8	developed	develop	VERB
cana-4458	35	9	a	a	DET
cana-4458	35	10	novel	novel	ADJ
cana-4458	35	11	approach	approach	NOUN
cana-4458	35	12	for	for	ADP
cana-4458	35	13	modeling	model	VERB
cana-4458	35	14	hourly	hourly	ADJ
cana-4458	35	15	rainfall	rainfall	NOUN
cana-4458	35	16	using	use	VERB
cana-4458	35	17	a	a	DET
cana-4458	35	18	monotonic	monotonic	ADJ
cana-4458	35	19	transformation	transformation	NOUN
cana-4458	35	20	to	to	PART
cana-4458	35	21	achieve	achieve	VERB
cana-4458	35	22	normality	normality	NOUN
cana-4458	35	23	,	,	PUNCT
cana-4458	35	24	creating	create	VERB
cana-4458	35	25	a	a	DET
cana-4458	35	26	latent	latent	ADJ
cana-4458	35	27	gaussian	gaussian	ADJ
cana-4458	35	28	variable	variable	NOUN
cana-4458	35	29	for	for	ADP
cana-4458	35	30	autocorrelation	autocorrelation	NOUN
cana-4458	35	31	modeling	modeling	NOUN
cana-4458	35	32	.	.	PUNCT
cana-4458	36	1	validated	validate	VERB
cana-4458	36	2	against	against	ADP
cana-4458	36	3	real	real	ADJ
cana-4458	36	4	data	datum	NOUN
cana-4458	36	5	,	,	PUNCT
cana-4458	36	6	the	the	DET
cana-4458	36	7	model	model	NOUN
cana-4458	36	8	demonstrated	demonstrate	VERB
cana-4458	36	9	flexibility	flexibility	NOUN
cana-4458	36	10	in	in	ADP
cana-4458	36	11	forecasting	forecasting	NOUN
cana-4458	36	12	,	,	PUNCT
cana-4458	36	13	simulation	simulation	NOUN
cana-4458	36	14	,	,	PUNCT
cana-4458	36	15	and	and	CCONJ
cana-4458	36	16	fine	fine	ADJ
cana-4458	36	17	-	-	PUNCT
cana-4458	36	18	resolution	resolution	NOUN
cana-4458	36	19	data	data	NOUN
cana-4458	36	20	generation	generation	NOUN
cana-4458	36	21	,	,	PUNCT
cana-4458	36	22	offering	offer	VERB
cana-4458	36	23	a	a	DET
cana-4458	36	24	robust	robust	ADJ
cana-4458	36	25	alternative	alternative	NOUN
cana-4458	36	26	to	to	ADP
cana-4458	36	27	traditional	traditional	ADJ
cana-4458	36	28	methods	method	NOUN
cana-4458	36	29	.	.	PUNCT
cana-4458	37	1	niharika	niharika	PROPN
cana-4458	37	2	mishra	mishra	PROPN
cana-4458	37	3	and	and	CCONJ
cana-4458	37	4	ajay	ajay	PROPN
cana-4458	37	5	kushwaha	kushwaha	PROPN
cana-4458	37	6	applied	apply	VERB
cana-4458	37	7	gaussian	gaussian	ADJ
cana-4458	37	8	process	process	NOUN
cana-4458	37	9	regression	regression	NOUN
cana-4458	37	10	to	to	PART
cana-4458	37	11	improve	improve	VERB
cana-4458	37	12	rainfall	rainfall	NOUN
cana-4458	37	13	prediction	prediction	NOUN
cana-4458	37	14	accuracy	accuracy	NOUN
cana-4458	37	15	,	,	PUNCT
cana-4458	37	16	achieving	achieve	VERB
cana-4458	37	17	95.4	95.4	NUM
cana-4458	37	18	%	%	NOUN
cana-4458	37	19	accuracy	accuracy	NOUN
cana-4458	37	20	using	use	VERB
cana-4458	37	21	meteorological	meteorological	ADJ
cana-4458	37	22	data	datum	NOUN
cana-4458	37	23	from	from	ADP
cana-4458	37	24	raipur	raipur	PROPN
cana-4458	37	25	.	.	PUNCT
cana-4458	38	1	their	their	PRON
cana-4458	38	2	work	work	NOUN
cana-4458	38	3	highlights	highlight	NOUN
cana-4458	38	4	machine	machine	NOUN
cana-4458	38	5	learning	learning	PROPN
cana-4458	38	6	’s	’s	PART
cana-4458	38	7	potential	potential	NOUN
cana-4458	38	8	in	in	ADP
cana-4458	38	9	water	water	NOUN
cana-4458	38	10	resource	resource	NOUN
cana-4458	38	11	management	management	NOUN
cana-4458	38	12	amidst	amidst	ADP
cana-4458	38	13	dynamic	dynamic	ADJ
cana-4458	38	14	weather	weather	NOUN
cana-4458	38	15	patterns	pattern	NOUN
cana-4458	38	16	.	.	PUNCT
cana-4458	39	1	zhengzheng	zhengzheng	PROPN
cana-4458	39	2	li	li	PROPN
cana-4458	39	3	et	et	PROPN
cana-4458	39	4	al	al	PROPN
cana-4458	39	5	.	.	PROPN
cana-4458	39	6	introduced	introduce	VERB
cana-4458	39	7	the	the	DET
cana-4458	39	8	gaussian	gaussian	ADJ
cana-4458	39	9	rainfall	rainfall	NOUN
cana-4458	39	10	-	-	PUNCT
cana-4458	39	11	rate	rate	NOUN
cana-4458	39	12	estimator	estimator	NOUN
cana-4458	39	13	(	(	PUNCT
cana-4458	39	14	gmre	gmre	NOUN
cana-4458	39	15	)	)	PUNCT
cana-4458	39	16	for	for	ADP
cana-4458	39	17	radarbased	radarbase	VERB
cana-4458	39	18	rainfall	rainfall	NOUN
cana-4458	39	19	-	-	PUNCT
cana-4458	39	20	rate	rate	NOUN
cana-4458	39	21	estimation	estimation	NOUN
cana-4458	39	22	.	.	PUNCT
cana-4458	40	1	based	base	VERB
cana-4458	40	2	on	on	ADP
cana-4458	40	3	the	the	DET
cana-4458	40	4	gaussian	gaussian	ADJ
cana-4458	40	5	model	model	NOUN
cana-4458	40	6	and	and	CCONJ
cana-4458	40	7	bayesian	bayesian	NOUN
cana-4458	40	8	least	least	ADJ
cana-4458	40	9	squares	square	NOUN
cana-4458	40	10	estimation	estimation	NOUN
cana-4458	40	11	,	,	PUNCT
cana-4458	40	12	gmre	gmre	NOUN
cana-4458	40	13	demonstrated	demonstrate	VERB
cana-4458	40	14	superior	superior	ADJ
cana-4458	40	15	performance	performance	NOUN
cana-4458	40	16	over	over	ADP
cana-4458	40	17	existing	exist	VERB
cana-4458	40	18	techniques	technique	NOUN
cana-4458	40	19	and	and	CCONJ
cana-4458	40	20	adaptability	adaptability	NOUN
cana-4458	40	21	across	across	ADP
cana-4458	40	22	rain	rain	NOUN
cana-4458	40	23	regimes	regime	NOUN
cana-4458	40	24	,	,	PUNCT
cana-4458	40	25	highlighting	highlight	VERB
cana-4458	40	26	its	its	PRON
cana-4458	40	27	potential	potential	NOUN
cana-4458	40	28	for	for	ADP
cana-4458	40	29	global	global	ADJ
cana-4458	40	30	applications	application	NOUN
cana-4458	40	31	.	.	PUNCT
cana-4458	41	1	pradeebane	pradeebane	NOUN
cana-4458	41	2	vaittinada	vaittinada	PROPN
cana-4458	41	3	-	-	PUNCT
cana-4458	41	4	ayar	ayar	NOUN
cana-4458	41	5	et	et	PROPN
cana-4458	41	6	al	al	PROPN
cana-4458	41	7	.	.	PROPN
cana-4458	41	8	developed	develop	VERB
cana-4458	41	9	a	a	DET
cana-4458	41	10	high	high	ADJ
cana-4458	41	11	-	-	PUNCT
cana-4458	41	12	resolution	resolution	NOUN
cana-4458	41	13	spatial	spatial	ADJ
cana-4458	41	14	rainfall	rainfall	NOUN
cana-4458	41	15	model	model	NOUN
cana-4458	41	16	for	for	ADP
cana-4458	41	17	hydrological	hydrological	ADJ
cana-4458	41	18	applications	application	NOUN
cana-4458	41	19	in	in	ADP
cana-4458	41	20	france	france	PROPN
cana-4458	41	21	’s	’s	PART
cana-4458	41	22	ardèche	ardèche	NOUN
cana-4458	41	23	catchment	catchment	NOUN
cana-4458	41	24	,	,	PUNCT
cana-4458	41	25	combining	combine	VERB
cana-4458	41	26	an	an	DET
cana-4458	41	27	autoregressive	autoregressive	ADJ
cana-4458	41	28	meta	meta	ADJ
cana-4458	41	29	-	-	PUNCT
cana-4458	41	30	gaussian	gaussian	ADJ
cana-4458	41	31	process	process	NOUN
cana-4458	41	32	with	with	ADP
cana-4458	41	33	weather	weather	NOUN
cana-4458	41	34	pattern	pattern	NOUN
cana-4458	41	35	sub	sub	ADJ
cana-4458	41	36	-	-	ADJ
cana-4458	41	37	sampling	sample	VERB
cana-4458	41	38	.	.	PUNCT
cana-4458	42	1	the	the	DET
cana-4458	42	2	model	model	NOUN
cana-4458	42	3	excels	excel	VERB
cana-4458	42	4	in	in	ADP
cana-4458	42	5	replicating	replicate	VERB
cana-4458	42	6	rainfall	rainfall	NOUN
cana-4458	42	7	statistics	statistic	NOUN
cana-4458	42	8	,	,	PUNCT
cana-4458	42	9	offering	offer	VERB
cana-4458	42	10	potential	potential	NOUN
cana-4458	42	11	for	for	ADP
cana-4458	42	12	mountainous	mountainous	ADJ
cana-4458	42	13	catchments	catchment	NOUN
cana-4458	42	14	.	.	PUNCT
cana-4458	43	1	k'ufre	k'ufre	PROPN
cana-4458	43	2	-	-	PUNCT
cana-4458	43	3	mfon	mfon	PROPN
cana-4458	43	4	e.	e.	PROPN
cana-4458	43	5	ekerete	ekerete	PROPN
cana-4458	43	6	et	et	PROPN
cana-4458	43	7	al	al	PROPN
cana-4458	43	8	.	.	PROPN
cana-4458	43	9	studied	study	VERB
cana-4458	43	10	rainfall	rainfall	NOUN
cana-4458	43	11	drop	drop	NOUN
cana-4458	43	12	size	size	NOUN
cana-4458	43	13	distribution	distribution	NOUN
cana-4458	43	14	,	,	PUNCT
cana-4458	43	15	focusing	focus	VERB
cana-4458	43	16	on	on	ADP
cana-4458	43	17	its	its	PRON
cana-4458	43	18	impact	impact	NOUN
cana-4458	43	19	on	on	ADP
cana-4458	43	20	satellite	satellite	NOUN
cana-4458	43	21	signal	signal	NOUN
cana-4458	43	22	attenuation	attenuation	NOUN
cana-4458	43	23	.	.	PUNCT
cana-4458	44	1	they	they	PRON
cana-4458	44	2	highlighted	highlight	VERB
cana-4458	44	3	the	the	DET
cana-4458	44	4	limitations	limitation	NOUN
cana-4458	44	5	of	of	ADP
cana-4458	44	6	standard	standard	ADJ
cana-4458	44	7	models	model	NOUN
cana-4458	44	8	and	and	CCONJ
cana-4458	44	9	proposed	propose	VERB
cana-4458	44	10	communications	communication	NOUN
cana-4458	44	11	on	on	ADP
cana-4458	44	12	applied	apply	VERB
cana-4458	44	13	nonlinear	nonlinear	ADJ
cana-4458	44	14	analysis	analysis	NOUN
cana-4458	44	15	issn	issn	NOUN
cana-4458	44	16	:	:	PUNCT
cana-4458	44	17	1074	1074	NUM
cana-4458	44	18	-	-	PUNCT
cana-4458	44	19	133x	133x	NUM
cana-4458	44	20	vol	vol	NOUN
cana-4458	44	21	32	32	NUM
cana-4458	44	22	no	no	NOUN
cana-4458	44	23	.	.	PUNCT
cana-4458	45	1	9s	9s	NUM
cana-4458	45	2	(	(	PUNCT
cana-4458	45	3	2025	2025	NUM
cana-4458	45	4	)	)	PUNCT
cana-4458	45	5	2218	2218	NUM
cana-4458	45	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4458	45	7	alternative	alternative	ADJ
cana-4458	45	8	gaussian	gaussian	NOUN
cana-4458	45	9	-	-	PUNCT
cana-4458	45	10	based	base	VERB
cana-4458	45	11	approaches	approach	NOUN
cana-4458	45	12	for	for	ADP
cana-4458	45	13	better	well	ADJ
cana-4458	45	14	accuracy	accuracy	NOUN
cana-4458	45	15	and	and	CCONJ
cana-4458	45	16	understanding	understanding	NOUN
cana-4458	45	17	.	.	PUNCT
cana-4458	46	1	moonhyuk	moonhyuk	PROPN
cana-4458	46	2	kwon	kwon	VERB
cana-4458	46	3	et	et	PROPN
cana-4458	46	4	al	al	PROPN
cana-4458	46	5	.	.	PROPN
cana-4458	46	6	presented	present	VERB
cana-4458	46	7	a	a	DET
cana-4458	46	8	multivariate	multivariate	NOUN
cana-4458	46	9	stochastic	stochastic	ADJ
cana-4458	46	10	soil	soil	NOUN
cana-4458	46	11	moisture	moisture	NOUN
cana-4458	46	12	estimation	estimation	NOUN
cana-4458	46	13	approach	approach	NOUN
cana-4458	46	14	using	use	VERB
cana-4458	46	15	a	a	DET
cana-4458	46	16	gaussian	gaussian	ADJ
cana-4458	46	17	-	-	ADJ
cana-4458	46	18	nonstationary	nonstationary	ADJ
cana-4458	46	19	hidden	hidden	ADJ
cana-4458	46	20	markov	markov	NOUN
cana-4458	46	21	model	model	NOUN
cana-4458	46	22	(	(	PUNCT
cana-4458	46	23	gm	gm	NOUN
cana-4458	46	24	-	-	PUNCT
cana-4458	46	25	nhmm	nhmm	NOUN
cana-4458	46	26	)	)	PUNCT
cana-4458	46	27	in	in	ADP
cana-4458	46	28	south	south	PROPN
cana-4458	46	29	korea	korea	PROPN
cana-4458	46	30	.	.	PUNCT
cana-4458	47	1	rainfall	rainfall	NOUN
cana-4458	47	2	significantly	significantly	ADV
cana-4458	47	3	improved	improve	VERB
cana-4458	47	4	soil	soil	NOUN
cana-4458	47	5	moisture	moisture	NOUN
cana-4458	47	6	predictions	prediction	NOUN
cana-4458	47	7	,	,	PUNCT
cana-4458	47	8	outperforming	outperform	VERB
cana-4458	47	9	ordinary	ordinary	ADJ
cana-4458	47	10	regression	regression	NOUN
cana-4458	47	11	models	model	NOUN
cana-4458	47	12	and	and	CCONJ
cana-4458	47	13	maintaining	maintain	VERB
cana-4458	47	14	spatial	spatial	ADJ
cana-4458	47	15	coherence	coherence	NOUN
cana-4458	47	16	.	.	PUNCT
cana-4458	48	1	amjad	amjad	PROPN
cana-4458	48	2	hussein	hussein	PROPN
cana-4458	48	3	and	and	CCONJ
cana-4458	48	4	safaa	safaa	PROPN
cana-4458	48	5	k.	k.	PROPN
cana-4458	48	6	kadhem	kadhem	PROPN
cana-4458	48	7	analyzed	analyze	VERB
cana-4458	48	8	spatial	spatial	ADJ
cana-4458	48	9	variation	variation	NOUN
cana-4458	48	10	in	in	ADP
cana-4458	48	11	maximum	maximum	ADJ
cana-4458	48	12	monthly	monthly	ADJ
cana-4458	48	13	rainfall	rainfall	NOUN
cana-4458	48	14	in	in	ADP
cana-4458	48	15	ireland	ireland	PROPN
cana-4458	48	16	(	(	PUNCT
cana-4458	48	17	2018–2020	2018–2020	NUM
cana-4458	48	18	)	)	PUNCT
cana-4458	48	19	using	use	VERB
cana-4458	48	20	bayesian	bayesian	NOUN
cana-4458	48	21	normal	normal	ADJ
cana-4458	48	22	models	model	NOUN
cana-4458	48	23	.	.	PUNCT
cana-4458	49	1	they	they	PRON
cana-4458	49	2	calculated	calculate	VERB
cana-4458	49	3	return	return	NOUN
cana-4458	49	4	periods	period	NOUN
cana-4458	49	5	for	for	ADP
cana-4458	49	6	extreme	extreme	ADJ
cana-4458	49	7	rainfall	rainfall	NOUN
cana-4458	49	8	,	,	PUNCT
cana-4458	49	9	aiding	aid	VERB
cana-4458	49	10	long	long	ADJ
cana-4458	49	11	-	-	PUNCT
cana-4458	49	12	term	term	NOUN
cana-4458	49	13	risk	risk	NOUN
cana-4458	49	14	planning	planning	NOUN
cana-4458	49	15	and	and	CCONJ
cana-4458	49	16	highlighting	highlight	VERB
cana-4458	49	17	data	datum	NOUN
cana-4458	49	18	heterogeneity	heterogeneity	NOUN
cana-4458	49	19	at	at	ADP
cana-4458	49	20	weather	weather	NOUN
cana-4458	49	21	stations	station	NOUN
cana-4458	49	22	.	.	PUNCT
cana-4458	50	1	s.	s.	PROPN
cana-4458	50	2	ly	ly	PROPN
cana-4458	50	3	,	,	PUNCT
cana-4458	50	4	c.	c.	PROPN
cana-4458	50	5	charles	charles	PROPN
cana-4458	50	6	,	,	PUNCT
cana-4458	50	7	and	and	CCONJ
cana-4458	50	8	a.	a.	NOUN
cana-4458	50	9	degré	degré	PROPN
cana-4458	50	10	compared	compare	VERB
cana-4458	50	11	geostatistical	geostatistical	ADJ
cana-4458	50	12	and	and	CCONJ
cana-4458	50	13	deterministic	deterministic	ADJ
cana-4458	50	14	methods	method	NOUN
cana-4458	50	15	for	for	ADP
cana-4458	50	16	spatial	spatial	ADJ
cana-4458	50	17	interpolation	interpolation	NOUN
cana-4458	50	18	of	of	ADP
cana-4458	50	19	rainfall	rainfall	NOUN
cana-4458	50	20	in	in	ADP
cana-4458	50	21	belgium	belgium	NOUN
cana-4458	50	22	,	,	PUNCT
cana-4458	50	23	finding	find	VERB
cana-4458	50	24	gaussian	gaussian	ADJ
cana-4458	50	25	models	model	NOUN
cana-4458	50	26	to	to	PART
cana-4458	50	27	be	be	AUX
cana-4458	50	28	the	the	DET
cana-4458	50	29	best	good	ADJ
cana-4458	50	30	fit	fit	NOUN
cana-4458	50	31	for	for	ADP
cana-4458	50	32	variogram	variogram	NOUN
cana-4458	50	33	modeling	modeling	NOUN
cana-4458	50	34	.	.	PUNCT
cana-4458	51	1	their	their	PRON
cana-4458	51	2	work	work	NOUN
cana-4458	51	3	emphasizes	emphasize	VERB
cana-4458	51	4	the	the	DET
cana-4458	51	5	importance	importance	NOUN
cana-4458	51	6	of	of	ADP
cana-4458	51	7	spatial	spatial	ADJ
cana-4458	51	8	interpolation	interpolation	NOUN
cana-4458	51	9	in	in	ADP
cana-4458	51	10	hydrological	hydrological	ADJ
cana-4458	51	11	modeling	modeling	NOUN
cana-4458	51	12	,	,	PUNCT
cana-4458	51	13	particularly	particularly	ADV
cana-4458	51	14	in	in	ADP
cana-4458	51	15	hilly	hilly	ADJ
cana-4458	51	16	regions	region	NOUN
cana-4458	51	17	.	.	PUNCT
cana-4458	52	1	kumudha	kumudha	PROPN
cana-4458	52	2	h.	h.	PROPN
cana-4458	52	3	r.	r.	PROPN
cana-4458	52	4	and	and	CCONJ
cana-4458	52	5	kokila	kokila	PROPN
cana-4458	52	6	ramesh	ramesh	PROPN
cana-4458	52	7	studied	study	VERB
cana-4458	52	8	indian	indian	ADJ
cana-4458	52	9	monsoon	monsoon	NOUN
cana-4458	52	10	rainfall	rainfall	NOUN
cana-4458	52	11	,	,	PUNCT
cana-4458	52	12	employing	employ	VERB
cana-4458	52	13	an	an	DET
cana-4458	52	14	ann	ann	PROPN
cana-4458	52	15	model	model	NOUN
cana-4458	52	16	to	to	PART
cana-4458	52	17	capture	capture	VERB
cana-4458	52	18	intra	intra	ADJ
cana-4458	52	19	-	-	ADJ
cana-4458	52	20	seasonal	seasonal	ADJ
cana-4458	52	21	and	and	CCONJ
cana-4458	52	22	inter	inter	ADJ
cana-4458	52	23	-	-	ADJ
cana-4458	52	24	annual	annual	ADJ
cana-4458	52	25	variability	variability	NOUN
cana-4458	52	26	.	.	PUNCT
cana-4458	53	1	their	their	PRON
cana-4458	53	2	approach	approach	NOUN
cana-4458	53	3	explained	explain	VERB
cana-4458	53	4	94	94	NUM
cana-4458	53	5	%	%	NOUN
cana-4458	53	6	of	of	ADP
cana-4458	53	7	observed	observed	ADJ
cana-4458	53	8	variability	variability	NOUN
cana-4458	53	9	,	,	PUNCT
cana-4458	53	10	demonstrating	demonstrate	VERB
cana-4458	53	11	the	the	DET
cana-4458	53	12	utility	utility	NOUN
cana-4458	53	13	of	of	ADP
cana-4458	53	14	machine	machine	NOUN
cana-4458	53	15	learning	learn	VERB
cana-4458	53	16	in	in	ADP
cana-4458	53	17	rainfall	rainfall	NOUN
cana-4458	53	18	forecasting	forecasting	NOUN
cana-4458	53	19	.	.	PUNCT
cana-4458	54	1	several	several	ADJ
cana-4458	54	2	studies	study	NOUN
cana-4458	54	3	have	have	AUX
cana-4458	54	4	explained	explain	VERB
cana-4458	54	5	the	the	DET
cana-4458	54	6	dynamics	dynamic	NOUN
cana-4458	54	7	of	of	ADP
cana-4458	54	8	flooding	flooding	NOUN
cana-4458	54	9	and	and	CCONJ
cana-4458	54	10	rainfall	rainfall	NOUN
cana-4458	54	11	in	in	ADP
cana-4458	54	12	karnataka	karnataka	PROPN
cana-4458	54	13	and	and	CCONJ
cana-4458	54	14	other	other	ADJ
cana-4458	54	15	regions	region	NOUN
cana-4458	54	16	,	,	PUNCT
cana-4458	54	17	providing	provide	VERB
cana-4458	54	18	valuable	valuable	ADJ
cana-4458	54	19	insights	insight	NOUN
cana-4458	54	20	into	into	ADP
cana-4458	54	21	flood	flood	NOUN
cana-4458	54	22	risk	risk	NOUN
cana-4458	54	23	assessment	assessment	NOUN
cana-4458	54	24	,	,	PUNCT
cana-4458	54	25	modeling	modeling	NOUN
cana-4458	54	26	,	,	PUNCT
cana-4458	54	27	and	and	CCONJ
cana-4458	54	28	management	management	NOUN
cana-4458	54	29	.	.	PUNCT
cana-4458	55	1	bennihalla	bennihalla	PROPN
cana-4458	55	2	basin	basin	PROPN
cana-4458	55	3	study	study	NOUN
cana-4458	55	4	(	(	PUNCT
cana-4458	55	5	2019	2019	NUM
cana-4458	55	6	)	)	PUNCT
cana-4458	55	7	by	by	ADP
cana-4458	55	8	basavaraj	basavaraj	PROPN
cana-4458	55	9	hatti	hatti	PROPN
cana-4458	55	10	et	et	PROPN
cana-4458	55	11	al	al	PROPN
cana-4458	55	12	aimed	aim	VERB
cana-4458	55	13	to	to	PART
cana-4458	55	14	develop	develop	VERB
cana-4458	55	15	a	a	DET
cana-4458	55	16	flood	flood	NOUN
cana-4458	55	17	hazard	hazard	NOUN
cana-4458	55	18	zonal	zonal	ADJ
cana-4458	55	19	map	map	NOUN
cana-4458	55	20	for	for	ADP
cana-4458	55	21	the	the	DET
cana-4458	55	22	bennihalla	bennihalla	PROPN
cana-4458	55	23	river	river	PROPN
cana-4458	55	24	basin	basin	NOUN
cana-4458	55	25	in	in	ADP
cana-4458	55	26	gadag	gadag	PROPN
cana-4458	55	27	and	and	CCONJ
cana-4458	55	28	dharwad	dharwad	NOUN
cana-4458	55	29	districts	district	NOUN
cana-4458	55	30	,	,	PUNCT
cana-4458	55	31	karnataka	karnataka	PROPN
cana-4458	55	32	,	,	PUNCT
cana-4458	55	33	using	use	VERB
cana-4458	55	34	geo	geo	PROPN
cana-4458	55	35	informatics	informatics	PROPN
cana-4458	55	36	technology	technology	PROPN
cana-4458	55	37	.	.	PUNCT
cana-4458	56	1	the	the	DET
cana-4458	56	2	study	study	NOUN
cana-4458	56	3	utilized	utilize	VERB
cana-4458	56	4	satellite	satellite	NOUN
cana-4458	56	5	imagery	imagery	NOUN
cana-4458	56	6	(	(	PUNCT
cana-4458	56	7	irs-1d	irs-1d	PROPN
cana-4458	56	8	,	,	PUNCT
cana-4458	56	9	liss	liss	PROPN
cana-4458	56	10	-	-	PUNCT
cana-4458	56	11	iii	iii	NOUN
cana-4458	56	12	)	)	PUNCT
cana-4458	56	13	,	,	PUNCT
cana-4458	56	14	soi	soi	ADJ
cana-4458	56	15	topo	topo	PROPN
cana-4458	56	16	sheets	sheet	NOUN
cana-4458	56	17	,	,	PUNCT
cana-4458	56	18	and	and	CCONJ
cana-4458	56	19	gis	gis	NOUN
cana-4458	56	20	tools	tool	NOUN
cana-4458	56	21	like	like	ADP
cana-4458	56	22	mapinfo	mapinfo	NOUN
cana-4458	56	23	,	,	PUNCT
cana-4458	56	24	erdas	erda	NOUN
cana-4458	56	25	,	,	PUNCT
cana-4458	56	26	and	and	CCONJ
cana-4458	56	27	autocad	autocad	PROPN
cana-4458	56	28	to	to	PART
cana-4458	56	29	integrate	integrate	VERB
cana-4458	56	30	thematic	thematic	ADJ
cana-4458	56	31	layers	layer	NOUN
cana-4458	56	32	such	such	ADJ
cana-4458	56	33	as	as	ADP
cana-4458	56	34	lithology	lithology	NOUN
cana-4458	56	35	,	,	PUNCT
cana-4458	56	36	drainage	drainage	NOUN
cana-4458	56	37	density	density	NOUN
cana-4458	56	38	,	,	PUNCT
cana-4458	56	39	landform	landform	NOUN
cana-4458	56	40	,	,	PUNCT
cana-4458	56	41	soil	soil	NOUN
cana-4458	56	42	,	,	PUNCT
cana-4458	56	43	and	and	CCONJ
cana-4458	56	44	rainfall	rainfall	NOUN
cana-4458	56	45	.	.	PUNCT
cana-4458	57	1	the	the	DET
cana-4458	57	2	results	result	NOUN
cana-4458	57	3	classified	classify	VERB
cana-4458	57	4	the	the	DET
cana-4458	57	5	area	area	NOUN
cana-4458	57	6	into	into	ADP
cana-4458	57	7	high	high	ADJ
cana-4458	57	8	,	,	PUNCT
cana-4458	57	9	moderate	moderate	ADJ
cana-4458	57	10	,	,	PUNCT
cana-4458	57	11	and	and	CCONJ
cana-4458	57	12	low	low	ADJ
cana-4458	57	13	flood	flood	NOUN
cana-4458	57	14	hazard	hazard	NOUN
cana-4458	57	15	zones	zone	NOUN
cana-4458	57	16	.	.	PUNCT
cana-4458	58	1	urban	urban	ADJ
cana-4458	58	2	expansion	expansion	NOUN
cana-4458	58	3	in	in	ADP
cana-4458	58	4	areas	area	NOUN
cana-4458	58	5	like	like	ADP
cana-4458	58	6	navalgund	navalgund	NOUN
cana-4458	58	7	and	and	CCONJ
cana-4458	58	8	nargund	nargund	NOUN
cana-4458	58	9	has	have	AUX
cana-4458	58	10	increased	increase	VERB
cana-4458	58	11	vulnerability	vulnerability	NOUN
cana-4458	58	12	,	,	PUNCT
cana-4458	58	13	with	with	ADP
cana-4458	58	14	residential	residential	ADJ
cana-4458	58	15	,	,	PUNCT
cana-4458	58	16	agricultural	agricultural	ADJ
cana-4458	58	17	,	,	PUNCT
cana-4458	58	18	and	and	CCONJ
cana-4458	58	19	industrial	industrial	ADJ
cana-4458	58	20	activities	activity	NOUN
cana-4458	58	21	encroaching	encroach	VERB
cana-4458	58	22	into	into	ADP
cana-4458	58	23	flood	flood	NOUN
cana-4458	58	24	-	-	PUNCT
cana-4458	58	25	prone	prone	ADJ
cana-4458	58	26	zones	zone	NOUN
cana-4458	58	27	.	.	PUNCT
cana-4458	59	1	the	the	DET
cana-4458	59	2	maps	map	NOUN
cana-4458	59	3	aim	aim	VERB
cana-4458	59	4	to	to	PART
cana-4458	59	5	raise	raise	VERB
cana-4458	59	6	public	public	ADJ
cana-4458	59	7	awareness	awareness	NOUN
cana-4458	59	8	and	and	CCONJ
cana-4458	59	9	assist	assist	VERB
cana-4458	59	10	authorities	authority	NOUN
cana-4458	59	11	in	in	ADP
cana-4458	59	12	flood	flood	NOUN
cana-4458	59	13	mitigation	mitigation	NOUN
cana-4458	59	14	and	and	CCONJ
cana-4458	59	15	planning	plan	VERB
cana-4458	59	16	safe	safe	ADJ
cana-4458	59	17	settlements	settlement	NOUN
cana-4458	59	18	.	.	PUNCT
cana-4458	60	1	the	the	DET
cana-4458	60	2	study	study	NOUN
cana-4458	60	3	concluded	conclude	VERB
cana-4458	60	4	that	that	SCONJ
cana-4458	60	5	geo	geo	PROPN
cana-4458	60	6	-	-	PUNCT
cana-4458	60	7	informatics	informatics	PROPN
cana-4458	60	8	is	be	AUX
cana-4458	60	9	a	a	DET
cana-4458	60	10	robust	robust	ADJ
cana-4458	60	11	tool	tool	NOUN
cana-4458	60	12	for	for	ADP
cana-4458	60	13	flood	flood	NOUN
cana-4458	60	14	hazard	hazard	NOUN
cana-4458	60	15	assessment	assessment	NOUN
cana-4458	60	16	,	,	PUNCT
cana-4458	60	17	with	with	ADP
cana-4458	60	18	potential	potential	NOUN
cana-4458	60	19	for	for	ADP
cana-4458	60	20	application	application	NOUN
cana-4458	60	21	in	in	ADP
cana-4458	60	22	similar	similar	ADJ
cana-4458	60	23	regions	region	NOUN
cana-4458	60	24	globally	globally	ADV
cana-4458	60	25	.	.	PUNCT
cana-4458	61	1	the	the	DET
cana-4458	61	2	review	review	NOUN
cana-4458	61	3	of	of	ADP
cana-4458	61	4	these	these	DET
cana-4458	61	5	studies	study	NOUN
cana-4458	61	6	reveals	reveal	VERB
cana-4458	61	7	key	key	ADJ
cana-4458	61	8	gaps	gap	NOUN
cana-4458	61	9	,	,	PUNCT
cana-4458	61	10	such	such	ADJ
cana-4458	61	11	as	as	ADP
cana-4458	61	12	the	the	PRON
cana-4458	61	13	under	under	ADP
cana-4458	61	14	exploration	exploration	NOUN
cana-4458	61	15	of	of	ADP
cana-4458	61	16	non	non	ADJ
cana-4458	61	17	-	-	ADJ
cana-4458	61	18	linear	linear	ADJ
cana-4458	61	19	trends	trend	NOUN
cana-4458	61	20	and	and	CCONJ
cana-4458	61	21	extreme	extreme	ADJ
cana-4458	61	22	weather	weather	NOUN
cana-4458	61	23	events	event	NOUN
cana-4458	61	24	.	.	PUNCT
cana-4458	62	1	addressing	address	VERB
cana-4458	62	2	these	these	DET
cana-4458	62	3	gaps	gap	NOUN
cana-4458	62	4	could	could	AUX
cana-4458	62	5	enhance	enhance	VERB
cana-4458	62	6	long	long	ADJ
cana-4458	62	7	-	-	PUNCT
cana-4458	62	8	term	term	NOUN
cana-4458	62	9	climate	climate	NOUN
cana-4458	62	10	projections	projection	NOUN
cana-4458	62	11	and	and	CCONJ
cana-4458	62	12	mitigation	mitigation	NOUN
cana-4458	62	13	strategies	strategy	NOUN
cana-4458	62	14	.	.	PUNCT
cana-4458	63	1	while	while	SCONJ
cana-4458	63	2	gaussian	gaussian	ADJ
cana-4458	63	3	models	model	NOUN
cana-4458	63	4	are	be	AUX
cana-4458	63	5	widely	widely	ADV
cana-4458	63	6	used	use	VERB
cana-4458	63	7	,	,	PUNCT
cana-4458	63	8	exploring	explore	VERB
cana-4458	63	9	alternatives	alternative	NOUN
cana-4458	63	10	like	like	ADP
cana-4458	63	11	gaussian	gaussian	NOUN
cana-4458	63	12	and	and	CCONJ
cana-4458	63	13	gamma	gamma	NOUN
cana-4458	63	14	models	model	NOUN
cana-4458	63	15	could	could	AUX
cana-4458	63	16	offer	offer	VERB
cana-4458	63	17	improved	improved	ADJ
cana-4458	63	18	accuracy	accuracy	NOUN
cana-4458	63	19	and	and	CCONJ
cana-4458	63	20	insights	insight	NOUN
cana-4458	63	21	for	for	ADP
cana-4458	63	22	modeling	model	VERB
cana-4458	63	23	rainfall	rainfall	NOUN
cana-4458	63	24	and	and	CCONJ
cana-4458	63	25	its	its	PRON
cana-4458	63	26	impacts	impact	NOUN
cana-4458	63	27	.	.	PUNCT
cana-4458	64	1	data	datum	NOUN
cana-4458	64	2	:	:	PUNCT
cana-4458	64	3	karnataka	karnataka	PROPN
cana-4458	64	4	is	be	AUX
cana-4458	64	5	divided	divide	VERB
cana-4458	64	6	into	into	ADP
cana-4458	64	7	three	three	NUM
cana-4458	64	8	geographical	geographical	ADJ
cana-4458	64	9	subdivisions	subdivision	NOUN
cana-4458	64	10	such	such	ADJ
cana-4458	64	11	as	as	ADP
cana-4458	64	12	coastal	coastal	ADJ
cana-4458	64	13	karnataka	karnataka	NOUN
cana-4458	64	14	,	,	PUNCT
cana-4458	64	15	north	north	ADJ
cana-4458	64	16	interior	interior	ADJ
cana-4458	64	17	karnataka	karnataka	NOUN
cana-4458	64	18	,	,	PUNCT
cana-4458	64	19	and	and	CCONJ
cana-4458	64	20	south	south	ADJ
cana-4458	64	21	interior	interior	ADJ
cana-4458	64	22	karnataka	karnataka	PROPN
cana-4458	64	23	.	.	PUNCT
cana-4458	65	1	the	the	DET
cana-4458	65	2	state	state	NOUN
cana-4458	65	3	experiences	experience	VERB
cana-4458	65	4	four	four	NUM
cana-4458	65	5	distinct	distinct	ADJ
cana-4458	65	6	seasons	season	NOUN
cana-4458	65	7	namely	namely	ADV
cana-4458	65	8	the	the	DET
cana-4458	65	9	winter	winter	NOUN
cana-4458	65	10	season	season	NOUN
cana-4458	65	11	during	during	ADP
cana-4458	65	12	january	january	PROPN
cana-4458	65	13	to	to	ADP
cana-4458	65	14	february	february	PROPN
cana-4458	65	15	,	,	PUNCT
cana-4458	65	16	which	which	PRON
cana-4458	65	17	contributes	contribute	VERB
cana-4458	65	18	1	1	NUM
cana-4458	65	19	%	%	NOUN
cana-4458	65	20	of	of	ADP
cana-4458	65	21	the	the	DET
cana-4458	65	22	annual	annual	ADJ
cana-4458	65	23	rainfall	rainfall	NOUN
cana-4458	65	24	,	,	PUNCT
cana-4458	65	25	the	the	DET
cana-4458	65	26	premonsoon	premonsoon	NOUN
cana-4458	65	27	(	(	PUNCT
cana-4458	65	28	prm	prm	PROPN
cana-4458	65	29	)	)	PUNCT
cana-4458	65	30	season	season	NOUN
cana-4458	65	31	occurs	occur	VERB
cana-4458	65	32	from	from	ADP
cana-4458	65	33	march	march	PROPN
cana-4458	65	34	to	to	ADP
cana-4458	65	35	may	may	AUX
cana-4458	65	36	,	,	PUNCT
cana-4458	65	37	contributing	contribute	VERB
cana-4458	65	38	7	7	NUM
cana-4458	65	39	%	%	NOUN
cana-4458	65	40	of	of	ADP
cana-4458	65	41	annual	annual	ADJ
cana-4458	65	42	rainfall	rainfall	NOUN
cana-4458	65	43	and	and	CCONJ
cana-4458	65	44	the	the	DET
cana-4458	65	45	northeast	northeast	ADJ
cana-4458	65	46	monsoon	monsoon	NOUN
cana-4458	65	47	(	(	PUNCT
cana-4458	65	48	nem	nem	PROPN
cana-4458	65	49	)	)	PUNCT
cana-4458	65	50	or	or	CCONJ
cana-4458	65	51	post	post	ADJ
cana-4458	65	52	-	-	ADJ
cana-4458	65	53	monsoon	monsoon	ADJ
cana-4458	65	54	season	season	NOUN
cana-4458	65	55	(	(	PUNCT
cana-4458	65	56	october	october	NOUN
cana-4458	65	57	to	to	ADP
cana-4458	65	58	december	december	PROPN
cana-4458	65	59	)	)	PUNCT
cana-4458	65	60	,	,	PUNCT
cana-4458	65	61	accounting	account	VERB
cana-4458	65	62	for	for	ADP
cana-4458	65	63	12	12	NUM
cana-4458	65	64	%	%	NOUN
cana-4458	65	65	of	of	ADP
cana-4458	65	66	the	the	DET
cana-4458	65	67	annual	annual	ADJ
cana-4458	65	68	rainfall	rainfall	NOUN
cana-4458	65	69	,	,	PUNCT
cana-4458	65	70	and	and	CCONJ
cana-4458	65	71	the	the	DET
cana-4458	65	72	southwest	southwest	NOUN
cana-4458	65	73	monsoon	monsoon	NOUN
cana-4458	65	74	(	(	PUNCT
cana-4458	65	75	swm	swm	ADJ
cana-4458	65	76	)	)	PUNCT
cana-4458	65	77	season	season	NOUN
cana-4458	65	78	during	during	ADP
cana-4458	65	79	june	june	PROPN
cana-4458	65	80	to	to	ADP
cana-4458	65	81	september	september	PROPN
cana-4458	65	82	,	,	PUNCT
cana-4458	65	83	which	which	PRON
cana-4458	65	84	dominates	dominate	VERB
cana-4458	65	85	with	with	ADP
cana-4458	65	86	80	80	NUM
cana-4458	65	87	%	%	NOUN
cana-4458	65	88	of	of	ADP
cana-4458	65	89	the	the	DET
cana-4458	65	90	total	total	ADJ
cana-4458	65	91	rainfall	rainfall	NOUN
cana-4458	65	92	.	.	PUNCT
cana-4458	66	1	with	with	ADP
cana-4458	66	2	the	the	DET
cana-4458	66	3	majority	majority	NOUN
cana-4458	66	4	of	of	ADP
cana-4458	66	5	rainfall	rainfall	NOUN
cana-4458	66	6	occurring	occur	VERB
cana-4458	66	7	during	during	ADP
cana-4458	66	8	the	the	DET
cana-4458	66	9	swm	swm	ADJ
cana-4458	66	10	,	,	PUNCT
cana-4458	66	11	precise	precise	ADJ
cana-4458	66	12	forecasting	forecasting	NOUN
cana-4458	66	13	is	be	AUX
cana-4458	66	14	particularly	particularly	ADV
cana-4458	66	15	important	important	ADJ
cana-4458	66	16	for	for	ADP
cana-4458	66	17	managing	manage	VERB
cana-4458	66	18	flood	flood	NOUN
cana-4458	66	19	risks	risk	NOUN
cana-4458	66	20	in	in	ADP
cana-4458	66	21	vulnerable	vulnerable	ADJ
cana-4458	66	22	regions	region	NOUN
cana-4458	66	23	.	.	PUNCT
cana-4458	67	1	communications	communication	NOUN
cana-4458	67	2	on	on	ADP
cana-4458	67	3	applied	apply	VERB
cana-4458	67	4	nonlinear	nonlinear	ADJ
cana-4458	67	5	analysis	analysis	NOUN
cana-4458	67	6	issn	issn	NOUN
cana-4458	67	7	:	:	PUNCT
cana-4458	67	8	1074	1074	NUM
cana-4458	67	9	-	-	PUNCT
cana-4458	67	10	133x	133x	NUM
cana-4458	67	11	vol	vol	NOUN
cana-4458	67	12	32	32	NUM
cana-4458	67	13	no	no	NOUN
cana-4458	67	14	.	.	PUNCT
cana-4458	68	1	9s	9s	NUM
cana-4458	68	2	(	(	PUNCT
cana-4458	68	3	2025	2025	NUM
cana-4458	68	4	)	)	PUNCT
cana-4458	68	5	2219	2219	NUM
cana-4458	68	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4458	69	1	this	this	DET
cana-4458	69	2	study	study	NOUN
cana-4458	69	3	focuses	focus	VERB
cana-4458	69	4	on	on	ADP
cana-4458	69	5	analyzing	analyze	VERB
cana-4458	69	6	and	and	CCONJ
cana-4458	69	7	modeling	model	VERB
cana-4458	69	8	flood	flood	NOUN
cana-4458	69	9	-	-	PUNCT
cana-4458	69	10	prone	prone	ADJ
cana-4458	69	11	regions	region	NOUN
cana-4458	69	12	of	of	ADP
cana-4458	69	13	karnataka	karnataka	NOUN
cana-4458	69	14	,	,	PUNCT
cana-4458	69	15	highlighted	highlight	VERB
cana-4458	69	16	on	on	ADP
cana-4458	69	17	the	the	DET
cana-4458	69	18	karnataka	karnataka	PROPN
cana-4458	69	19	map	map	NOUN
cana-4458	69	20	in	in	ADP
cana-4458	69	21	figure	figure	NOUN
cana-4458	69	22	1	1	NUM
cana-4458	69	23	.	.	PUNCT
cana-4458	70	1	the	the	DET
cana-4458	70	2	analysis	analysis	NOUN
cana-4458	70	3	concentrates	concentrate	VERB
cana-4458	70	4	on	on	ADP
cana-4458	70	5	southwest	southwest	ADJ
cana-4458	70	6	monsoon	monsoon	NOUN
cana-4458	70	7	(	(	PUNCT
cana-4458	70	8	swm	swm	ADJ
cana-4458	70	9	)	)	PUNCT
cana-4458	70	10	rainfall	rainfall	NOUN
cana-4458	70	11	,	,	PUNCT
cana-4458	70	12	which	which	PRON
cana-4458	70	13	may	may	AUX
cana-4458	70	14	be	be	AUX
cana-4458	70	15	one	one	NUM
cana-4458	70	16	of	of	ADP
cana-4458	70	17	the	the	DET
cana-4458	70	18	reasons	reason	NOUN
cana-4458	70	19	of	of	ADP
cana-4458	70	20	floods	flood	NOUN
cana-4458	70	21	in	in	ADP
cana-4458	70	22	regions	region	NOUN
cana-4458	70	23	such	such	ADJ
cana-4458	70	24	as	as	ADP
cana-4458	70	25	dakshina	dakshina	PROPN
cana-4458	70	26	kannada	kannada	PROPN
cana-4458	70	27	,	,	PUNCT
cana-4458	70	28	udupi	udupi	PROPN
cana-4458	70	29	,	,	PUNCT
cana-4458	70	30	uttara	uttara	PROPN
cana-4458	70	31	kannada	kannada	PROPN
cana-4458	70	32	,	,	PUNCT
cana-4458	70	33	chikkamagalur	chikkamagalur	PROPN
cana-4458	70	34	,	,	PUNCT
cana-4458	70	35	kodagu	kodagu	NOUN
cana-4458	70	36	,	,	PUNCT
cana-4458	70	37	and	and	CCONJ
cana-4458	70	38	shivamogga	shivamogga	NOUN
cana-4458	70	39	.	.	PUNCT
cana-4458	71	1	for	for	ADP
cana-4458	71	2	this	this	DET
cana-4458	71	3	purpose	purpose	NOUN
cana-4458	71	4	,	,	PUNCT
cana-4458	71	5	57	57	NUM
cana-4458	71	6	years	year	NOUN
cana-4458	71	7	of	of	ADP
cana-4458	71	8	swm	swm	ADJ
cana-4458	71	9	rainfall	rainfall	NOUN
cana-4458	71	10	data	datum	NOUN
cana-4458	71	11	(	(	PUNCT
cana-4458	71	12	1960	1960	NUM
cana-4458	71	13	–	–	PUNCT
cana-4458	71	14	2016	2016	NUM
cana-4458	71	15	)	)	PUNCT
cana-4458	71	16	has	have	AUX
cana-4458	71	17	been	be	AUX
cana-4458	71	18	analysed	analyse	VERB
cana-4458	71	19	,	,	PUNCT
cana-4458	71	20	obtained	obtain	VERB
cana-4458	71	21	from	from	ADP
cana-4458	71	22	the	the	DET
cana-4458	71	23	indian	indian	PROPN
cana-4458	71	24	institute	institute	PROPN
cana-4458	71	25	of	of	ADP
cana-4458	71	26	tropical	tropical	ADJ
cana-4458	71	27	meteorology	meteorology	NOUN
cana-4458	71	28	(	(	PUNCT
cana-4458	71	29	iitm	iitm	NOUN
cana-4458	71	30	)	)	PUNCT
cana-4458	71	31	(	(	PUNCT
cana-4458	71	32	http://www.tropmet.res.in	http://www.tropmet.res.in	NUM
cana-4458	71	33	)	)	PUNCT
cana-4458	71	34	and	and	CCONJ
cana-4458	71	35	the	the	DET
cana-4458	71	36	karnataka	karnataka	PROPN
cana-4458	71	37	state	state	NOUN
cana-4458	71	38	natural	natural	ADJ
cana-4458	71	39	disaster	disaster	NOUN
cana-4458	71	40	monitoring	monitoring	NOUN
cana-4458	71	41	centre	centre	NOUN
cana-4458	71	42	(	(	PUNCT
cana-4458	71	43	ksndmc	ksndmc	NOUN
cana-4458	71	44	)	)	PUNCT
cana-4458	71	45	(	(	PUNCT
cana-4458	71	46	https://www.ksndmc.org	https://www.ksndmc.org	X
cana-4458	71	47	)	)	PUNCT
cana-4458	71	48	.	.	PUNCT
cana-4458	72	1	key	key	ADJ
cana-4458	72	2	descriptive	descriptive	ADJ
cana-4458	72	3	statistics	statistic	NOUN
cana-4458	72	4	,	,	PUNCT
cana-4458	72	5	including	include	VERB
cana-4458	72	6	long	long	ADJ
cana-4458	72	7	term	term	NOUN
cana-4458	72	8	average	average	NOUN
cana-4458	72	9	(	(	PUNCT
cana-4458	72	10	lta	lta	PROPN
cana-4458	72	11	)	)	PUNCT
cana-4458	72	12	,	,	PUNCT
cana-4458	72	13	long	long	ADJ
cana-4458	72	14	term	term	NOUN
cana-4458	72	15	deviation	deviation	NOUN
cana-4458	72	16	(	(	PUNCT
cana-4458	72	17	ltd	ltd	NOUN
cana-4458	72	18	)	)	PUNCT
cana-4458	72	19	,	,	PUNCT
cana-4458	72	20	skewness	skewness	NOUN
cana-4458	72	21	,	,	PUNCT
cana-4458	72	22	and	and	CCONJ
cana-4458	72	23	kurtosis	kurtosis	NOUN
cana-4458	72	24	,	,	PUNCT
cana-4458	72	25	are	be	AUX
cana-4458	72	26	presented	present	VERB
cana-4458	72	27	in	in	ADP
cana-4458	72	28	table	table	NOUN
cana-4458	72	29	1	1	NUM
cana-4458	72	30	to	to	PART
cana-4458	72	31	provide	provide	VERB
cana-4458	72	32	insights	insight	NOUN
cana-4458	72	33	into	into	ADP
cana-4458	72	34	rainfall	rainfall	NOUN
cana-4458	72	35	variability	variability	NOUN
cana-4458	72	36	.	.	PUNCT
cana-4458	73	1	figure	figure	NOUN
cana-4458	73	2	1	1	NUM
cana-4458	73	3	:	:	PUNCT
cana-4458	73	4	karnataka	karnataka	NOUN
cana-4458	73	5	map	map	NOUN
cana-4458	73	6	with	with	ADP
cana-4458	73	7	regions	region	NOUN
cana-4458	73	8	having	have	VERB
cana-4458	73	9	highlighted	highlight	VERB
cana-4458	73	10	flood	flood	NOUN
cana-4458	73	11	prone	prone	ADJ
cana-4458	73	12	regions	region	NOUN
cana-4458	73	13	table	table	VERB
cana-4458	73	14	1	1	NUM
cana-4458	73	15	:	:	PUNCT
cana-4458	73	16	descriptive	descriptive	ADJ
cana-4458	73	17	statistics	statistic	NOUN
cana-4458	73	18	of	of	ADP
cana-4458	73	19	swm	swm	ADJ
cana-4458	73	20	rainfall	rainfall	NOUN
cana-4458	73	21	data	datum	NOUN
cana-4458	73	22	of	of	ADP
cana-4458	73	23	flood	flood	NOUN
cana-4458	73	24	prone	prone	ADJ
cana-4458	73	25	regions	region	NOUN
cana-4458	73	26	of	of	ADP
cana-4458	73	27	karnataka	karnataka	NOUN
cana-4458	73	28	for	for	ADP
cana-4458	73	29	the	the	DET
cana-4458	73	30	period	period	NOUN
cana-4458	73	31	of	of	ADP
cana-4458	73	32	57	57	NUM
cana-4458	73	33	years	year	NOUN
cana-4458	73	34	from	from	ADP
cana-4458	73	35	iitm	iitm	NOUN
cana-4458	73	36	(	(	PUNCT
cana-4458	73	37	1960	1960	NUM
cana-4458	73	38	-	-	SYM
cana-4458	73	39	2017	2017	NUM
cana-4458	73	40	)	)	PUNCT
cana-4458	73	41	region	region	NOUN
cana-4458	73	42	lta	lta	NOUN
cana-4458	73	43	(	(	PUNCT
cana-4458	73	44	𝑚𝑧	𝑚𝑧	NOUN
cana-4458	73	45	)	)	PUNCT
cana-4458	73	46	(	(	PUNCT
cana-4458	73	47	in	in	ADP
cana-4458	73	48	cm	cm	NOUN
cana-4458	73	49	)	)	PUNCT
cana-4458	73	50	ltd	ltd	PROPN
cana-4458	73	51	(	(	PUNCT
cana-4458	73	52	𝜎𝑧	𝜎𝑧	ADP
cana-4458	73	53	)	)	PUNCT
cana-4458	73	54	(	(	PUNCT
cana-4458	73	55	in	in	ADP
cana-4458	73	56	cm	cm	NOUN
cana-4458	73	57	)	)	PUNCT
cana-4458	73	58	skewness	skewness	NOUN
cana-4458	73	59	(	(	PUNCT
cana-4458	73	60	𝑆𝑧	𝑆𝑧	PROPN
cana-4458	73	61	)	)	PUNCT
cana-4458	73	62	kurtosis	kurtosis	NOUN
cana-4458	73	63	(	(	PUNCT
cana-4458	73	64	𝐾𝑧	𝐾𝑧	NOUN
cana-4458	73	65	)	)	PUNCT
cana-4458	73	66	dakshina	dakshina	NOUN
cana-4458	73	67	kannada	kannada	PROPN
cana-4458	73	68	158.06	158.06	NUM
cana-4458	73	69	30.85	30.85	NUM
cana-4458	73	70	0.44	0.44	NUM
cana-4458	73	71	0.33	0.33	NUM
cana-4458	73	72	udupi	udupi	NOUN
cana-4458	73	73	107.15	107.15	NUM
cana-4458	73	74	17.04	17.04	NUM
cana-4458	73	75	0.18	0.18	NUM
cana-4458	73	76	-0.34	-0.34	PROPN
cana-4458	73	77	uttara	uttara	PROPN
cana-4458	73	78	kannada	kannada	PROPN
cana-4458	73	79	270.80	270.80	NUM
cana-4458	73	80	35.60	35.60	NUM
cana-4458	73	81	0.37	0.37	NUM
cana-4458	73	82	0.47	0.47	NUM
cana-4458	73	83	chikkamagalur	chikkamagalur	NOUN
cana-4458	73	84	101.25	101.25	NUM
cana-4458	73	85	19.79	19.79	NUM
cana-4458	73	86	0.47	0.47	NUM
cana-4458	73	87	0.42	0.42	NUM
cana-4458	73	88	kodagu	kodagu	NOUN
cana-4458	73	89	63.05	63.05	NUM
cana-4458	73	90	14.96	14.96	NUM
cana-4458	73	91	0.87	0.87	NUM
cana-4458	73	92	1.15	1.15	NUM
cana-4458	73	93	shivamoga	shivamoga	NOUN
cana-4458	73	94	98.63	98.63	NUM
cana-4458	73	95	24.28	24.28	NUM
cana-4458	73	96	0.42	0.42	NUM
cana-4458	73	97	-0.01	-0.01	NUM
cana-4458	73	98	http://www.tropmet.res.in/	http://www.tropmet.res.in/	PROPN
cana-4458	73	99	https://www.ksndmc.org/	https://www.ksndmc.org/	NOUN
cana-4458	73	100	communications	communication	NOUN
cana-4458	73	101	on	on	ADP
cana-4458	73	102	applied	apply	VERB
cana-4458	73	103	nonlinear	nonlinear	ADJ
cana-4458	73	104	analysis	analysis	NOUN
cana-4458	73	105	issn	issn	NOUN
cana-4458	73	106	:	:	PUNCT
cana-4458	73	107	1074	1074	NUM
cana-4458	73	108	-	-	PUNCT
cana-4458	73	109	133x	133x	NUM
cana-4458	73	110	vol	vol	NOUN
cana-4458	73	111	32	32	NUM
cana-4458	73	112	no	no	NOUN
cana-4458	73	113	.	.	PUNCT
cana-4458	74	1	9s	9s	NUM
cana-4458	74	2	(	(	PUNCT
cana-4458	74	3	2025	2025	NUM
cana-4458	74	4	)	)	PUNCT
cana-4458	74	5	2220	2220	NUM
cana-4458	74	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4458	75	1	the	the	DET
cana-4458	75	2	correlation	correlation	NOUN
cana-4458	75	3	coefficient	coefficient	NOUN
cana-4458	75	4	that	that	PRON
cana-4458	75	5	reveals	reveal	VERB
cana-4458	75	6	the	the	DET
cana-4458	75	7	strengths	strength	NOUN
cana-4458	75	8	and	and	CCONJ
cana-4458	75	9	weaknesses	weakness	NOUN
cana-4458	75	10	of	of	ADP
cana-4458	75	11	links	link	NOUN
cana-4458	75	12	between	between	ADP
cana-4458	75	13	regions	region	NOUN
cana-4458	75	14	has	have	AUX
cana-4458	75	15	been	be	AUX
cana-4458	75	16	created	create	VERB
cana-4458	75	17	using	use	VERB
cana-4458	75	18	the	the	DET
cana-4458	75	19	gathered	gather	VERB
cana-4458	75	20	data	datum	NOUN
cana-4458	75	21	in	in	ADP
cana-4458	75	22	order	order	NOUN
cana-4458	75	23	to	to	PART
cana-4458	75	24	identify	identify	VERB
cana-4458	75	25	relationships	relationship	NOUN
cana-4458	75	26	between	between	ADP
cana-4458	75	27	regional	regional	ADJ
cana-4458	75	28	characteristics	characteristic	NOUN
cana-4458	75	29	.	.	PUNCT
cana-4458	76	1	the	the	DET
cana-4458	76	2	pairwise	pairwise	NOUN
cana-4458	76	3	correlation	correlation	NOUN
cana-4458	76	4	study	study	NOUN
cana-4458	76	5	of	of	ADP
cana-4458	76	6	rainfall	rainfall	NOUN
cana-4458	76	7	patterns	pattern	NOUN
cana-4458	76	8	across	across	ADP
cana-4458	76	9	karnataka	karnataka	PROPN
cana-4458	76	10	's	's	PART
cana-4458	76	11	flood	flood	NOUN
cana-4458	76	12	-	-	PUNCT
cana-4458	76	13	prone	prone	ADJ
cana-4458	76	14	areas	area	NOUN
cana-4458	76	15	is	be	AUX
cana-4458	76	16	shown	show	VERB
cana-4458	76	17	in	in	ADP
cana-4458	76	18	table	table	NOUN
cana-4458	76	19	2	2	NUM
cana-4458	76	20	.	.	PUNCT
cana-4458	77	1	the	the	DET
cana-4458	77	2	analysis	analysis	NOUN
cana-4458	77	3	highlights	highlight	NOUN
cana-4458	77	4	the	the	DET
cana-4458	77	5	need	need	NOUN
cana-4458	77	6	for	for	ADP
cana-4458	77	7	integrated	integrated	ADJ
cana-4458	77	8	flood	flood	NOUN
cana-4458	77	9	risk	risk	NOUN
cana-4458	77	10	assessments	assessment	NOUN
cana-4458	77	11	in	in	ADP
cana-4458	77	12	kodagu	kodagu	ADJ
cana-4458	77	13	,	,	PUNCT
cana-4458	77	14	chikkamagalur	chikkamagalur	PROPN
cana-4458	77	15	,	,	PUNCT
cana-4458	77	16	shivamogga	shivamogga	NOUN
cana-4458	77	17	,	,	PUNCT
cana-4458	77	18	and	and	CCONJ
cana-4458	77	19	parts	part	NOUN
cana-4458	77	20	of	of	ADP
cana-4458	77	21	uttara	uttara	PROPN
cana-4458	77	22	kannada	kannada	PROPN
cana-4458	77	23	,	,	PUNCT
cana-4458	77	24	due	due	ADP
cana-4458	77	25	to	to	ADP
cana-4458	77	26	the	the	DET
cana-4458	77	27	correlations	correlation	NOUN
cana-4458	77	28	observed	observe	VERB
cana-4458	77	29	between	between	ADP
cana-4458	77	30	these	these	DET
cana-4458	77	31	hilly	hilly	ADJ
cana-4458	77	32	regions	region	NOUN
cana-4458	77	33	,	,	PUNCT
cana-4458	77	34	reflecting	reflect	VERB
cana-4458	77	35	their	their	PRON
cana-4458	77	36	interdependent	interdependent	ADJ
cana-4458	77	37	rainfall	rainfall	NOUN
cana-4458	77	38	dynamics	dynamic	NOUN
cana-4458	77	39	.	.	PUNCT
cana-4458	78	1	coastal	coastal	ADJ
cana-4458	78	2	regions	region	NOUN
cana-4458	78	3	such	such	ADJ
cana-4458	78	4	as	as	ADP
cana-4458	78	5	dakshina	dakshina	PROPN
cana-4458	78	6	kannada	kannada	PROPN
cana-4458	78	7	,	,	PUNCT
cana-4458	78	8	udupi	udupi	PROPN
cana-4458	78	9	,	,	PUNCT
cana-4458	78	10	and	and	CCONJ
cana-4458	78	11	uttara	uttara	PROPN
cana-4458	78	12	kannada	kannada	PROPN
cana-4458	78	13	,	,	PUNCT
cana-4458	78	14	exhibiting	exhibit	VERB
cana-4458	78	15	moderate	moderate	ADJ
cana-4458	78	16	correlations	correlation	NOUN
cana-4458	78	17	,	,	PUNCT
cana-4458	78	18	require	require	VERB
cana-4458	78	19	localized	localized	ADJ
cana-4458	78	20	monitoring	monitoring	NOUN
cana-4458	78	21	and	and	CCONJ
cana-4458	78	22	tailored	tailor	VERB
cana-4458	78	23	flood	flood	NOUN
cana-4458	78	24	mitigation	mitigation	NOUN
cana-4458	78	25	strategies	strategy	NOUN
cana-4458	78	26	to	to	PART
cana-4458	78	27	address	address	VERB
cana-4458	78	28	variability	variability	NOUN
cana-4458	78	29	in	in	ADP
cana-4458	78	30	rainfall	rainfall	NOUN
cana-4458	78	31	patterns	pattern	NOUN
cana-4458	78	32	effectively	effectively	ADV
cana-4458	78	33	.	.	PUNCT
cana-4458	79	1	the	the	DET
cana-4458	79	2	differences	difference	NOUN
cana-4458	79	3	in	in	ADP
cana-4458	79	4	rainfall	rainfall	NOUN
cana-4458	79	5	patterns	pattern	NOUN
cana-4458	79	6	between	between	ADP
cana-4458	79	7	regions	region	NOUN
cana-4458	79	8	with	with	ADP
cana-4458	79	9	different	different	ADJ
cana-4458	79	10	landscapes	landscape	NOUN
cana-4458	79	11	highlight	highlight	VERB
cana-4458	79	12	how	how	SCONJ
cana-4458	79	13	complex	complex	ADJ
cana-4458	79	14	rainfall	rainfall	NOUN
cana-4458	79	15	behavior	behavior	NOUN
cana-4458	79	16	can	can	AUX
cana-4458	79	17	be	be	AUX
cana-4458	79	18	,	,	PUNCT
cana-4458	79	19	showing	show	VERB
cana-4458	79	20	the	the	DET
cana-4458	79	21	need	need	NOUN
cana-4458	79	22	for	for	ADP
cana-4458	79	23	flood	flood	NOUN
cana-4458	79	24	management	management	NOUN
cana-4458	79	25	strategies	strategy	NOUN
cana-4458	79	26	tailored	tailor	VERB
cana-4458	79	27	to	to	ADP
cana-4458	79	28	each	each	DET
cana-4458	79	29	region	region	NOUN
cana-4458	79	30	.	.	PUNCT
cana-4458	80	1	this	this	DET
cana-4458	80	2	study	study	NOUN
cana-4458	80	3	offers	offer	VERB
cana-4458	80	4	important	important	ADJ
cana-4458	80	5	insights	insight	NOUN
cana-4458	80	6	into	into	ADP
cana-4458	80	7	how	how	SCONJ
cana-4458	80	8	rainfall	rainfall	NOUN
cana-4458	80	9	patterns	pattern	NOUN
cana-4458	80	10	are	be	AUX
cana-4458	80	11	connected	connect	VERB
cana-4458	80	12	across	across	ADP
cana-4458	80	13	karnataka	karnataka	PROPN
cana-4458	80	14	's	's	PART
cana-4458	80	15	flood	flood	NOUN
cana-4458	80	16	-	-	PUNCT
cana-4458	80	17	prone	prone	ADJ
cana-4458	80	18	areas	area	NOUN
cana-4458	80	19	.	.	PUNCT
cana-4458	81	1	table	table	NOUN
cana-4458	81	2	2	2	NUM
cana-4458	81	3	:	:	PUNCT
cana-4458	81	4	the	the	DET
cana-4458	81	5	correlation	correlation	NOUN
cana-4458	81	6	coefficient	coefficient	NOUN
cana-4458	81	7	matrix	matrix	NOUN
cana-4458	81	8	of	of	ADP
cana-4458	81	9	flood	flood	NOUN
cana-4458	81	10	prone	prone	ADJ
cana-4458	81	11	regions	region	NOUN
cana-4458	81	12	of	of	ADP
cana-4458	81	13	karnataka	karnataka	PROPN
cana-4458	81	14	region	region	NOUN
cana-4458	81	15	dakshina	dakshina	PROPN
cana-4458	81	16	kannada	kannada	PROPN
cana-4458	81	17	udupi	udupi	PROPN
cana-4458	81	18	uttara	uttara	PROPN
cana-4458	81	19	kannada	kannada	PROPN
cana-4458	81	20	chikkamagalur	chikkamagalur	PROPN
cana-4458	81	21	kodagu	kodagu	PROPN
cana-4458	81	22	shivamoga	shivamoga	PROPN
cana-4458	81	23	dakshina	dakshina	NOUN
cana-4458	81	24	kannada	kannada	PROPN
cana-4458	81	25	1	1	NUM
cana-4458	81	26	0.69	0.69	NUM
cana-4458	81	27	0.56	0.56	NUM
cana-4458	81	28	0.52	0.52	NUM
cana-4458	81	29	0.57	0.57	NUM
cana-4458	81	30	0.44	0.44	NUM
cana-4458	81	31	udupi	udupi	NOUN
cana-4458	81	32	0.69	0.69	NUM
cana-4458	81	33	1	1	NUM
cana-4458	81	34	0.69	0.69	NUM
cana-4458	81	35	0.57	0.57	NUM
cana-4458	81	36	0.55	0.55	NUM
cana-4458	81	37	0.55	0.55	NUM
cana-4458	81	38	uttara	uttara	PROPN
cana-4458	81	39	kannada	kannada	PROPN
cana-4458	81	40	0.56	0.56	NUM
cana-4458	81	41	0.69	0.69	NUM
cana-4458	81	42	1	1	NUM
cana-4458	81	43	0.50	0.50	NUM
cana-4458	81	44	0.43	0.43	NUM
cana-4458	81	45	0.65	0.65	NUM
cana-4458	81	46	chikkamagalur	chikkamagalur	NOUN
cana-4458	81	47	0.52	0.52	NUM
cana-4458	81	48	0.57	0.57	NUM
cana-4458	81	49	0.50	0.50	NUM
cana-4458	81	50	1	1	NUM
cana-4458	81	51	0.83	0.83	NUM
cana-4458	81	52	0.88	0.88	NUM
cana-4458	81	53	kodagu	kodagu	NOUN
cana-4458	81	54	0.57	0.57	NUM
cana-4458	81	55	0.55	0.55	NUM
cana-4458	81	56	0.43	0.43	NUM
cana-4458	81	57	0.83	0.83	NUM
cana-4458	81	58	1	1	NUM
cana-4458	81	59	0.68	0.68	NUM
cana-4458	81	60	shivamoga	shivamoga	NOUN
cana-4458	81	61	0.44	0.44	NUM
cana-4458	81	62	0.55	0.55	NUM
cana-4458	81	63	0.65	0.65	NUM
cana-4458	81	64	0.88	0.88	NUM
cana-4458	81	65	0.68	0.68	NUM
cana-4458	81	66	1	1	NUM
cana-4458	81	67	the	the	DET
cana-4458	81	68	rainfall	rainfall	NOUN
cana-4458	81	69	data	data	VERB
cana-4458	81	70	𝑅𝑖	𝑅𝑖	PROPN
cana-4458	81	71	(	(	PUNCT
cana-4458	81	72	𝑓𝑜𝑟	𝑓𝑜𝑟	NOUN
cana-4458	81	73	𝑖	𝑖	NOUN
cana-4458	81	74	=	=	SYM
cana-4458	81	75	1,2	1,2	NUM
cana-4458	81	76	,	,	PUNCT
cana-4458	81	77	…	…	PUNCT
cana-4458	81	78	,	,	PUNCT
cana-4458	81	79	𝑛	𝑛	X
cana-4458	81	80	)	)	PUNCT
cana-4458	81	81	is	be	AUX
cana-4458	81	82	normalized	normalize	VERB
cana-4458	81	83	using	use	VERB
cana-4458	81	84	its	its	PRON
cana-4458	81	85	long	long	ADJ
cana-4458	81	86	-	-	PUNCT
cana-4458	81	87	term	term	NOUN
cana-4458	81	88	average	average	NOUN
cana-4458	81	89	(	(	PUNCT
cana-4458	81	90	𝑚𝑧𝑖	𝑚𝑧𝑖	NOUN
cana-4458	81	91	)	)	PUNCT
cana-4458	81	92	,	,	PUNCT
cana-4458	81	93	using	use	VERB
cana-4458	81	94	the	the	DET
cana-4458	81	95	following	follow	VERB
cana-4458	81	96	equation	equation	NOUN
cana-4458	81	97	.	.	PUNCT
cana-4458	82	1	𝑍𝑖	𝑍𝑖	PROPN
cana-4458	82	2	=	=	SYM
cana-4458	82	3	log	log	NOUN
cana-4458	82	4	(	(	PUNCT
cana-4458	82	5	𝑅𝑖	𝑅𝑖	PROPN
cana-4458	82	6	𝑚𝑍	𝑚𝑍	PROPN
cana-4458	82	7	)	)	PUNCT
cana-4458	82	8	…	…	PUNCT
cana-4458	82	9	…	…	PUNCT
cana-4458	82	10	.	.	PUNCT
cana-4458	82	11	.	.	PUNCT
cana-4458	83	1	(	(	PUNCT
cana-4458	83	2	1	1	X
cana-4458	83	3	)	)	PUNCT
cana-4458	83	4	this	this	DET
cana-4458	83	5	transformation	transformation	NOUN
cana-4458	83	6	offers	offer	VERB
cana-4458	83	7	several	several	ADJ
cana-4458	83	8	analytical	analytical	ADJ
cana-4458	83	9	advantages	advantage	NOUN
cana-4458	83	10	,	,	PUNCT
cana-4458	83	11	including	include	VERB
cana-4458	83	12	the	the	DET
cana-4458	83	13	ability	ability	NOUN
cana-4458	83	14	to	to	PART
cana-4458	83	15	represent	represent	VERB
cana-4458	83	16	data	datum	NOUN
cana-4458	83	17	points	point	NOUN
cana-4458	83	18	on	on	ADP
cana-4458	83	19	both	both	CCONJ
cana-4458	83	20	the	the	DET
cana-4458	83	21	negative	negative	ADJ
cana-4458	83	22	and	and	CCONJ
cana-4458	83	23	positive	positive	ADJ
cana-4458	83	24	sides	side	NOUN
cana-4458	83	25	of	of	ADP
cana-4458	83	26	the	the	DET
cana-4458	83	27	axis	axis	NOUN
cana-4458	83	28	,	,	PUNCT
cana-4458	83	29	enhancing	enhance	VERB
cana-4458	83	30	the	the	DET
cana-4458	83	31	flexibility	flexibility	NOUN
cana-4458	83	32	of	of	ADP
cana-4458	83	33	data	datum	NOUN
cana-4458	83	34	interpretation	interpretation	NOUN
cana-4458	83	35	without	without	ADP
cana-4458	83	36	constraints	constraint	NOUN
cana-4458	83	37	.	.	PUNCT
cana-4458	84	1	key	key	ADJ
cana-4458	84	2	descriptive	descriptive	ADJ
cana-4458	84	3	statistics	statistic	NOUN
cana-4458	84	4	of	of	ADP
cana-4458	84	5	normalized	normalize	VERB
cana-4458	84	6	data	datum	NOUN
cana-4458	84	7	𝑍𝑖	𝑍𝑖	PROPN
cana-4458	84	8	,	,	PUNCT
cana-4458	84	9	such	such	ADJ
cana-4458	84	10	as	as	ADP
cana-4458	84	11	the	the	DET
cana-4458	84	12	mean	mean	NOUN
cana-4458	84	13	(	(	PUNCT
cana-4458	84	14	𝑚𝑍𝑖	𝑚𝑍𝑖	NOUN
cana-4458	84	15	)	)	PUNCT
cana-4458	84	16	,	,	PUNCT
cana-4458	84	17	standard	standard	ADJ
cana-4458	84	18	deviation	deviation	NOUN
cana-4458	84	19	(	(	PUNCT
cana-4458	84	20	𝜎𝑧𝑖	𝜎𝑧𝑖	NOUN
cana-4458	84	21	)	)	PUNCT
cana-4458	84	22	skewness	skewness	NOUN
cana-4458	84	23	(	(	PUNCT
cana-4458	84	24	𝑆𝑧𝑖	𝑆𝑧𝑖	PROPN
cana-4458	84	25	)	)	PUNCT
cana-4458	84	26	,	,	PUNCT
cana-4458	84	27	and	and	CCONJ
cana-4458	84	28	kurtosis	kurtosis	NOUN
cana-4458	84	29	(	(	PUNCT
cana-4458	84	30	𝐾𝑧𝑖	𝐾𝑧𝑖	ADJ
cana-4458	84	31	)	)	PUNCT
cana-4458	84	32	,	,	PUNCT
cana-4458	84	33	are	be	AUX
cana-4458	84	34	tabulated	tabulate	VERB
cana-4458	84	35	in	in	ADP
cana-4458	84	36	table	table	NOUN
cana-4458	84	37	2	2	NUM
cana-4458	84	38	.	.	PUNCT
cana-4458	84	39	communications	communication	NOUN
cana-4458	84	40	on	on	ADP
cana-4458	84	41	applied	apply	VERB
cana-4458	84	42	nonlinear	nonlinear	ADJ
cana-4458	84	43	analysis	analysis	NOUN
cana-4458	84	44	issn	issn	NOUN
cana-4458	84	45	:	:	PUNCT
cana-4458	84	46	1074	1074	NUM
cana-4458	84	47	-	-	PUNCT
cana-4458	84	48	133x	133x	NUM
cana-4458	84	49	vol	vol	NOUN
cana-4458	84	50	32	32	NUM
cana-4458	85	1	no	no	NOUN
cana-4458	85	2	.	.	PUNCT
cana-4458	86	1	9s	9s	NUM
cana-4458	86	2	(	(	PUNCT
cana-4458	86	3	2025	2025	NUM
cana-4458	86	4	)	)	PUNCT
cana-4458	86	5	2221	2221	NUM
cana-4458	86	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4458	87	1	this	this	DET
cana-4458	87	2	approach	approach	NOUN
cana-4458	87	3	provides	provide	VERB
cana-4458	87	4	a	a	DET
cana-4458	87	5	comprehensive	comprehensive	ADJ
cana-4458	87	6	view	view	NOUN
cana-4458	87	7	of	of	ADP
cana-4458	87	8	the	the	DET
cana-4458	87	9	data	datum	NOUN
cana-4458	87	10	distribution	distribution	NOUN
cana-4458	87	11	,	,	PUNCT
cana-4458	87	12	aiding	aid	VERB
cana-4458	87	13	in	in	ADP
cana-4458	87	14	the	the	DET
cana-4458	87	15	selection	selection	NOUN
cana-4458	87	16	of	of	ADP
cana-4458	87	17	a	a	DET
cana-4458	87	18	suitable	suitable	ADJ
cana-4458	87	19	distribution	distribution	NOUN
cana-4458	87	20	function	function	NOUN
cana-4458	87	21	for	for	ADP
cana-4458	87	22	modeling	modeling	NOUN
cana-4458	87	23	.	.	PUNCT
cana-4458	88	1	the	the	DET
cana-4458	88	2	transformation	transformation	NOUN
cana-4458	88	3	ensures	ensure	VERB
cana-4458	88	4	that	that	SCONJ
cana-4458	88	5	the	the	DET
cana-4458	88	6	mean	mean	NOUN
cana-4458	88	7	of	of	ADP
cana-4458	88	8	𝑍𝑖	𝑍𝑖	PROPN
cana-4458	88	9	is	be	AUX
cana-4458	88	10	designed	design	VERB
cana-4458	88	11	to	to	PART
cana-4458	88	12	be	be	AUX
cana-4458	88	13	approximately	approximately	ADV
cana-4458	88	14	zero	zero	NUM
cana-4458	88	15	,	,	PUNCT
cana-4458	88	16	allowing	allow	VERB
cana-4458	88	17	for	for	ADP
cana-4458	88	18	accurate	accurate	ADJ
cana-4458	88	19	representation	representation	NOUN
cana-4458	88	20	of	of	ADP
cana-4458	88	21	the	the	DET
cana-4458	88	22	data	datum	NOUN
cana-4458	88	23	's	's	PART
cana-4458	88	24	first	first	ADJ
cana-4458	88	25	four	four	NUM
cana-4458	88	26	moments	moment	NOUN
cana-4458	88	27	in	in	ADP
cana-4458	88	28	the	the	DET
cana-4458	88	29	model	model	NOUN
cana-4458	88	30	.	.	PUNCT
cana-4458	89	1	the	the	DET
cana-4458	89	2	fundamental	fundamental	ADJ
cana-4458	89	3	statistics	statistic	NOUN
cana-4458	89	4	outlined	outline	VERB
cana-4458	89	5	in	in	ADP
cana-4458	89	6	the	the	DET
cana-4458	89	7	table	table	NOUN
cana-4458	89	8	3	3	NUM
cana-4458	89	9	serve	serve	VERB
cana-4458	89	10	as	as	ADP
cana-4458	89	11	a	a	DET
cana-4458	89	12	foundation	foundation	NOUN
cana-4458	89	13	for	for	ADP
cana-4458	89	14	gaining	gain	VERB
cana-4458	89	15	deeper	deep	ADJ
cana-4458	89	16	insights	insight	NOUN
cana-4458	89	17	into	into	ADP
cana-4458	89	18	the	the	DET
cana-4458	89	19	underlying	underlie	VERB
cana-4458	89	20	patterns	pattern	NOUN
cana-4458	89	21	and	and	CCONJ
cana-4458	89	22	characteristics	characteristic	NOUN
cana-4458	89	23	of	of	ADP
cana-4458	89	24	the	the	DET
cana-4458	89	25	data	datum	NOUN
cana-4458	89	26	.	.	PUNCT
cana-4458	90	1	table	table	NOUN
cana-4458	90	2	3	3	NUM
cana-4458	90	3	:	:	PUNCT
cana-4458	90	4	descriptive	descriptive	ADJ
cana-4458	90	5	statistics	statistic	NOUN
cana-4458	90	6	of	of	ADP
cana-4458	90	7	the	the	DET
cana-4458	90	8	normalized	normalize	VERB
cana-4458	90	9	data	datum	NOUN
cana-4458	90	10	of	of	ADP
cana-4458	90	11	𝒁𝒊	𝒁𝒊	PROPN
cana-4458	90	12	using	use	VERB
cana-4458	90	13	equation	equation	NOUN
cana-4458	90	14	(	(	PUNCT
cana-4458	90	15	1	1	NUM
cana-4458	90	16	)	)	PUNCT
cana-4458	90	17	region	region	NOUN
cana-4458	90	18	lta	lta	NOUN
cana-4458	90	19	(	(	PUNCT
cana-4458	90	20	𝑚𝑧𝑖	𝑚𝑧𝑖	NOUN
cana-4458	90	21	)	)	PUNCT
cana-4458	90	22	ltd	ltd	PROPN
cana-4458	90	23	(	(	PUNCT
cana-4458	90	24	𝜎𝑧𝑖	𝜎𝑧𝑖	NOUN
cana-4458	90	25	)	)	PUNCT
cana-4458	90	26	skewness	skewness	NOUN
cana-4458	90	27	(	(	PUNCT
cana-4458	90	28	𝑆𝑧𝑖	𝑆𝑧𝑖	PROPN
cana-4458	90	29	)	)	PUNCT
cana-4458	90	30	kurtosis	kurtosis	NOUN
cana-4458	90	31	(	(	PUNCT
cana-4458	90	32	𝐾𝑧𝑖	𝐾𝑧𝑖	ADJ
cana-4458	90	33	)	)	PUNCT
cana-4458	90	34	dakshina	dakshina	NOUN
cana-4458	90	35	kannada	kannada	PROPN
cana-4458	90	36	-0.02	-0.02	NUM
cana-4458	90	37	0.20	0.20	NUM
cana-4458	90	38	-0.17	-0.17	NUM
cana-4458	90	39	0.07	0.07	NUM
cana-4458	90	40	udupi	udupi	NOUN
cana-4458	91	1	-0.01	-0.01	NUM
cana-4458	91	2	0.16	0.16	NUM
cana-4458	91	3	-0.19	-0.19	NUM
cana-4458	91	4	-0.50	-0.50	PROPN
cana-4458	91	5	uttara	uttara	PROPN
cana-4458	91	6	kannada	kannada	PROPN
cana-4458	91	7	-0.01	-0.01	NUM
cana-4458	91	8	0.13	0.13	NUM
cana-4458	91	9	-0.07	-0.07	NUM
cana-4458	91	10	0.22	0.22	NUM
cana-4458	91	11	chikkamagalur	chikkamagalur	NOUN
cana-4458	91	12	-0.02	-0.02	NUM
cana-4458	91	13	0.20	0.20	NUM
cana-4458	91	14	-0.14	-0.14	NUM
cana-4458	91	15	0.05	0.05	NUM
cana-4458	91	16	kodagu	kodagu	NOUN
cana-4458	91	17	-0.03	-0.03	NUM
cana-4458	91	18	0.23	0.23	NUM
cana-4458	91	19	0.11	0.11	NUM
cana-4458	91	20	0.13	0.13	NUM
cana-4458	91	21	shivamoga	shivamoga	NOUN
cana-4458	91	22	-0.03	-0.03	NUM
cana-4458	91	23	0.25	0.25	NUM
cana-4458	91	24	-0.17	-0.17	PROPN
cana-4458	91	25	-0.50	-0.50	PROPN
cana-4458	91	26	the	the	DET
cana-4458	91	27	rainfall	rainfall	NOUN
cana-4458	91	28	data	datum	NOUN
cana-4458	91	29	distribution	distribution	NOUN
cana-4458	91	30	,	,	PUNCT
cana-4458	91	31	represented	represent	VERB
cana-4458	91	32	as	as	ADP
cana-4458	91	33	histograms	histogram	NOUN
cana-4458	91	34	in	in	ADP
cana-4458	91	35	figure	figure	NOUN
cana-4458	91	36	2	2	NUM
cana-4458	91	37	,	,	PUNCT
cana-4458	91	38	illustrates	illustrate	VERB
cana-4458	91	39	the	the	DET
cana-4458	91	40	distribution	distribution	NOUN
cana-4458	91	41	of	of	ADP
cana-4458	91	42	normalized	normalize	VERB
cana-4458	91	43	southwest	southwest	ADJ
cana-4458	91	44	monsoon	monsoon	NOUN
cana-4458	91	45	(	(	PUNCT
cana-4458	91	46	swm	swm	ADJ
cana-4458	91	47	)	)	PUNCT
cana-4458	91	48	rainfall	rainfall	NOUN
cana-4458	91	49	data	datum	NOUN
cana-4458	91	50	(	(	PUNCT
cana-4458	91	51	𝑍𝑖	𝑍𝑖	PROPN
cana-4458	91	52	)	)	PUNCT
cana-4458	91	53	for	for	ADP
cana-4458	91	54	the	the	DET
cana-4458	91	55	regions	region	NOUN
cana-4458	91	56	of	of	ADP
cana-4458	91	57	dakshina	dakshina	PROPN
cana-4458	91	58	kannada	kannada	PROPN
cana-4458	91	59	,	,	PUNCT
cana-4458	91	60	udupi	udupi	PROPN
cana-4458	91	61	,	,	PUNCT
cana-4458	91	62	uttara	uttara	PROPN
cana-4458	91	63	kannada	kannada	PROPN
cana-4458	91	64	,	,	PUNCT
cana-4458	91	65	chikkamagaluru	chikkamagaluru	PROPN
cana-4458	91	66	,	,	PUNCT
cana-4458	91	67	kodagu	kodagu	NOUN
cana-4458	91	68	,	,	PUNCT
cana-4458	91	69	and	and	CCONJ
cana-4458	91	70	shivamogga	shivamogga	NOUN
cana-4458	91	71	.	.	PUNCT
cana-4458	92	1	each	each	DET
cana-4458	92	2	histogram	histogram	NOUN
cana-4458	92	3	illustrates	illustrate	VERB
cana-4458	92	4	the	the	DET
cana-4458	92	5	transformed	transform	VERB
cana-4458	92	6	rainfall	rainfall	NOUN
cana-4458	92	7	data	datum	NOUN
cana-4458	92	8	,	,	PUNCT
cana-4458	92	9	overlaid	overlay	VERB
cana-4458	92	10	with	with	ADP
cana-4458	92	11	a	a	DET
cana-4458	92	12	gaussian	gaussian	ADJ
cana-4458	92	13	(	(	PUNCT
cana-4458	92	14	normal	normal	ADJ
cana-4458	92	15	)	)	PUNCT
cana-4458	92	16	distribution	distribution	NOUN
cana-4458	92	17	curve	curve	NOUN
cana-4458	92	18	,	,	PUNCT
cana-4458	92	19	to	to	PART
cana-4458	92	20	evaluate	evaluate	VERB
cana-4458	92	21	the	the	DET
cana-4458	92	22	data	datum	NOUN
cana-4458	92	23	's	's	PART
cana-4458	92	24	alignment	alignment	NOUN
cana-4458	92	25	with	with	ADP
cana-4458	92	26	a	a	DET
cana-4458	92	27	gaussian	gaussian	ADJ
cana-4458	92	28	distribution	distribution	NOUN
cana-4458	92	29	.	.	PUNCT
cana-4458	93	1	these	these	DET
cana-4458	93	2	visualizations	visualization	NOUN
cana-4458	93	3	help	help	VERB
cana-4458	93	4	assess	assess	VERB
cana-4458	93	5	the	the	DET
cana-4458	93	6	suitability	suitability	NOUN
cana-4458	93	7	of	of	ADP
cana-4458	93	8	gaussian	gaussian	ADJ
cana-4458	93	9	models	model	NOUN
cana-4458	93	10	for	for	ADP
cana-4458	93	11	representing	represent	VERB
cana-4458	93	12	rainfall	rainfall	NOUN
cana-4458	93	13	variability	variability	NOUN
cana-4458	93	14	in	in	ADP
cana-4458	93	15	these	these	DET
cana-4458	93	16	regions	region	NOUN
cana-4458	93	17	.	.	PUNCT
cana-4458	94	1	while	while	SCONJ
cana-4458	94	2	the	the	DET
cana-4458	94	3	swm	swm	ADJ
cana-4458	94	4	rainfall	rainfall	NOUN
cana-4458	94	5	data	datum	NOUN
cana-4458	94	6	for	for	ADP
cana-4458	94	7	each	each	DET
cana-4458	94	8	region	region	NOUN
cana-4458	94	9	exhibits	exhibit	VERB
cana-4458	94	10	some	some	DET
cana-4458	94	11	alignment	alignment	NOUN
cana-4458	94	12	with	with	ADP
cana-4458	94	13	a	a	DET
cana-4458	94	14	gaussian	gaussian	ADJ
cana-4458	94	15	pattern	pattern	NOUN
cana-4458	94	16	,	,	PUNCT
cana-4458	94	17	significant	significant	ADJ
cana-4458	94	18	deviations	deviation	NOUN
cana-4458	94	19	are	be	AUX
cana-4458	94	20	observed	observe	VERB
cana-4458	94	21	in	in	ADP
cana-4458	94	22	several	several	ADJ
cana-4458	94	23	regions	region	NOUN
cana-4458	94	24	,	,	PUNCT
cana-4458	94	25	particularly	particularly	ADV
cana-4458	94	26	in	in	ADP
cana-4458	94	27	the	the	DET
cana-4458	94	28	form	form	NOUN
cana-4458	94	29	of	of	ADP
cana-4458	94	30	bimodal	bimodal	NOUN
cana-4458	94	31	distributions	distribution	NOUN
cana-4458	94	32	.	.	PUNCT
cana-4458	95	1	these	these	DET
cana-4458	95	2	bimodal	bimodal	NOUN
cana-4458	95	3	patterns	pattern	NOUN
cana-4458	95	4	suggest	suggest	VERB
cana-4458	95	5	that	that	SCONJ
cana-4458	95	6	the	the	DET
cana-4458	95	7	rainfall	rainfall	NOUN
cana-4458	95	8	data	datum	NOUN
cana-4458	95	9	can	can	AUX
cana-4458	95	10	not	not	PART
cana-4458	95	11	be	be	AUX
cana-4458	95	12	fully	fully	ADV
cana-4458	95	13	captured	capture	VERB
cana-4458	95	14	by	by	ADP
cana-4458	95	15	a	a	DET
cana-4458	95	16	simple	simple	ADJ
cana-4458	95	17	gaussian	gaussian	ADJ
cana-4458	95	18	distribution	distribution	NOUN
cana-4458	95	19	.	.	PUNCT
cana-4458	96	1	the	the	DET
cana-4458	96	2	presence	presence	NOUN
cana-4458	96	3	of	of	ADP
cana-4458	96	4	such	such	ADJ
cana-4458	96	5	characteristics	characteristic	NOUN
cana-4458	96	6	reflects	reflect	VERB
cana-4458	96	7	the	the	DET
cana-4458	96	8	complexity	complexity	NOUN
cana-4458	96	9	of	of	ADP
cana-4458	96	10	rainfall	rainfall	NOUN
cana-4458	96	11	dynamics	dynamic	NOUN
cana-4458	96	12	influenced	influence	VERB
cana-4458	96	13	by	by	ADP
cana-4458	96	14	the	the	DET
cana-4458	96	15	diverse	diverse	ADJ
cana-4458	96	16	topography	topography	NOUN
cana-4458	96	17	and	and	CCONJ
cana-4458	96	18	climatic	climatic	ADJ
cana-4458	96	19	conditions	condition	NOUN
cana-4458	96	20	of	of	ADP
cana-4458	96	21	these	these	DET
cana-4458	96	22	regions	region	NOUN
cana-4458	96	23	,	,	PUNCT
cana-4458	96	24	including	include	VERB
cana-4458	96	25	coastal	coastal	ADJ
cana-4458	96	26	areas	area	NOUN
cana-4458	96	27	and	and	CCONJ
cana-4458	96	28	the	the	DET
cana-4458	96	29	hilly	hilly	ADJ
cana-4458	96	30	terrain	terrain	NOUN
cana-4458	96	31	of	of	ADP
cana-4458	96	32	the	the	DET
cana-4458	96	33	western	western	ADJ
cana-4458	96	34	ghats	ghat	NOUN
cana-4458	96	35	.	.	PUNCT
cana-4458	97	1	to	to	PART
cana-4458	97	2	address	address	VERB
cana-4458	97	3	these	these	DET
cana-4458	97	4	limitations	limitation	NOUN
cana-4458	97	5	,	,	PUNCT
cana-4458	97	6	a	a	DET
cana-4458	97	7	gaussian	gaussian	NOUN
cana-4458	97	8	and	and	CCONJ
cana-4458	97	9	gamma	gamma	NOUN
cana-4458	97	10	mixture	mixture	NOUN
cana-4458	97	11	model	model	NOUN
cana-4458	97	12	(	(	PUNCT
cana-4458	97	13	ggm	ggm	NOUN
cana-4458	97	14	)	)	PUNCT
cana-4458	97	15	has	have	AUX
cana-4458	97	16	been	be	AUX
cana-4458	97	17	introduced	introduce	VERB
cana-4458	97	18	.	.	PUNCT
cana-4458	98	1	this	this	DET
cana-4458	98	2	model	model	NOUN
cana-4458	98	3	combines	combine	VERB
cana-4458	98	4	the	the	DET
cana-4458	98	5	strengths	strength	NOUN
cana-4458	98	6	of	of	ADP
cana-4458	98	7	gaussian	gaussian	NOUN
cana-4458	98	8	and	and	CCONJ
cana-4458	98	9	gamma	gamma	NOUN
cana-4458	98	10	distributions	distribution	NOUN
cana-4458	98	11	to	to	PART
cana-4458	98	12	better	well	ADV
cana-4458	98	13	represent	represent	VERB
cana-4458	98	14	both	both	DET
cana-4458	98	15	central	central	ADJ
cana-4458	98	16	tendencies	tendency	NOUN
cana-4458	98	17	and	and	CCONJ
cana-4458	98	18	extreme	extreme	ADJ
cana-4458	98	19	variability	variability	NOUN
cana-4458	98	20	in	in	ADP
cana-4458	98	21	rainfall	rainfall	NOUN
cana-4458	98	22	patterns	pattern	NOUN
cana-4458	98	23	.	.	PUNCT
cana-4458	99	1	the	the	DET
cana-4458	99	2	ggm	ggm	PROPN
cana-4458	99	3	model	model	NOUN
cana-4458	99	4	effectively	effectively	ADV
cana-4458	99	5	accounts	account	VERB
cana-4458	99	6	for	for	ADP
cana-4458	99	7	the	the	DET
cana-4458	99	8	bimodal	bimodal	NOUN
cana-4458	99	9	characteristics	characteristic	NOUN
cana-4458	99	10	observed	observe	VERB
cana-4458	99	11	in	in	ADP
cana-4458	99	12	the	the	DET
cana-4458	99	13	data	datum	NOUN
cana-4458	99	14	,	,	PUNCT
cana-4458	99	15	providing	provide	VERB
cana-4458	99	16	a	a	DET
cana-4458	99	17	more	more	ADV
cana-4458	99	18	accurate	accurate	ADJ
cana-4458	99	19	representation	representation	NOUN
cana-4458	99	20	of	of	ADP
cana-4458	99	21	rainfall	rainfall	NOUN
cana-4458	99	22	distributions	distribution	NOUN
cana-4458	99	23	across	across	ADP
cana-4458	99	24	the	the	DET
cana-4458	99	25	regions	region	NOUN
cana-4458	99	26	.	.	PUNCT
cana-4458	100	1	by	by	ADP
cana-4458	100	2	incorporating	incorporate	VERB
cana-4458	100	3	the	the	DET
cana-4458	100	4	ggm	ggm	PROPN
cana-4458	100	5	model	model	NOUN
cana-4458	100	6	,	,	PUNCT
cana-4458	100	7	this	this	DET
cana-4458	100	8	study	study	NOUN
cana-4458	100	9	aims	aim	VERB
cana-4458	100	10	to	to	PART
cana-4458	100	11	capture	capture	VERB
cana-4458	100	12	the	the	DET
cana-4458	100	13	complex	complex	ADJ
cana-4458	100	14	statistical	statistical	ADJ
cana-4458	100	15	properties	property	NOUN
cana-4458	100	16	of	of	ADP
cana-4458	100	17	rainfall	rainfall	NOUN
cana-4458	100	18	in	in	ADP
cana-4458	100	19	flood	flood	NOUN
cana-4458	100	20	-	-	PUNCT
cana-4458	100	21	prone	prone	ADJ
cana-4458	100	22	regions	region	NOUN
cana-4458	100	23	of	of	ADP
cana-4458	100	24	karnataka	karnataka	PROPN
cana-4458	100	25	.	.	PUNCT
cana-4458	101	1	this	this	PRON
cana-4458	101	2	improved	improve	VERB
cana-4458	101	3	modeling	modeling	NOUN
cana-4458	101	4	approach	approach	NOUN
cana-4458	101	5	enhances	enhance	VERB
cana-4458	101	6	the	the	DET
cana-4458	101	7	understanding	understanding	NOUN
cana-4458	101	8	of	of	ADP
cana-4458	101	9	rainfall	rainfall	NOUN
cana-4458	101	10	variability	variability	NOUN
cana-4458	101	11	,	,	PUNCT
cana-4458	101	12	offering	offer	VERB
cana-4458	101	13	valuable	valuable	ADJ
cana-4458	101	14	insights	insight	NOUN
cana-4458	101	15	for	for	ADP
cana-4458	101	16	flood	flood	NOUN
cana-4458	101	17	forecasting	forecasting	NOUN
cana-4458	101	18	,	,	PUNCT
cana-4458	101	19	risk	risk	NOUN
cana-4458	101	20	management	management	NOUN
cana-4458	101	21	,	,	PUNCT
cana-4458	101	22	and	and	CCONJ
cana-4458	101	23	the	the	DET
cana-4458	101	24	development	development	NOUN
cana-4458	101	25	of	of	ADP
cana-4458	101	26	region	region	NOUN
cana-4458	101	27	-	-	PUNCT
cana-4458	101	28	specific	specific	ADJ
cana-4458	101	29	strategies	strategy	NOUN
cana-4458	101	30	to	to	PART
cana-4458	101	31	mitigate	mitigate	VERB
cana-4458	101	32	the	the	DET
cana-4458	101	33	impacts	impact	NOUN
cana-4458	101	34	of	of	ADP
cana-4458	101	35	extreme	extreme	ADJ
cana-4458	101	36	weather	weather	NOUN
cana-4458	101	37	events	event	NOUN
cana-4458	101	38	.	.	PUNCT
cana-4458	102	1	communications	communication	NOUN
cana-4458	102	2	on	on	ADP
cana-4458	102	3	applied	apply	VERB
cana-4458	102	4	nonlinear	nonlinear	ADJ
cana-4458	102	5	analysis	analysis	NOUN
cana-4458	102	6	issn	issn	NOUN
cana-4458	102	7	:	:	PUNCT
cana-4458	102	8	1074	1074	NUM
cana-4458	102	9	-	-	PUNCT
cana-4458	102	10	133x	133x	NUM
cana-4458	102	11	vol	vol	NOUN
cana-4458	102	12	32	32	NUM
cana-4458	102	13	no	no	NOUN
cana-4458	102	14	.	.	PUNCT
cana-4458	103	1	9s	9s	NUM
cana-4458	103	2	(	(	PUNCT
cana-4458	103	3	2025	2025	NUM
cana-4458	103	4	)	)	PUNCT
cana-4458	103	5	2222	2222	NUM
cana-4458	103	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4458	103	7	communications	communication	NOUN
cana-4458	103	8	on	on	ADP
cana-4458	103	9	applied	apply	VERB
cana-4458	103	10	nonlinear	nonlinear	ADJ
cana-4458	103	11	analysis	analysis	NOUN
cana-4458	103	12	issn	issn	NOUN
cana-4458	103	13	:	:	PUNCT
cana-4458	103	14	1074	1074	NUM
cana-4458	103	15	-	-	PUNCT
cana-4458	103	16	133x	133x	NUM
cana-4458	103	17	vol	vol	NOUN
cana-4458	103	18	32	32	NUM
cana-4458	103	19	no	no	NOUN
cana-4458	103	20	.	.	PUNCT
cana-4458	104	1	9s	9s	NUM
cana-4458	104	2	(	(	PUNCT
cana-4458	104	3	2025	2025	NUM
cana-4458	104	4	)	)	PUNCT
cana-4458	104	5	2223	2223	NUM
cana-4458	105	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4458	105	2	figure	figure	NOUN
cana-4458	105	3	2	2	NUM
cana-4458	105	4	:	:	PUNCT
cana-4458	105	5	normalized	normalize	VERB
cana-4458	105	6	rainfall	rainfall	NOUN
cana-4458	105	7	data	datum	NOUN
cana-4458	105	8	distribution	distribution	NOUN
cana-4458	105	9	as	as	ADP
cana-4458	105	10	histograms	histogram	NOUN
cana-4458	105	11	of	of	ADP
cana-4458	105	12	the	the	DET
cana-4458	105	13	flood	flood	NOUN
cana-4458	105	14	prone	prone	ADJ
cana-4458	105	15	regions	region	NOUN
cana-4458	105	16	of	of	ADP
cana-4458	105	17	karnataka	karnataka	NOUN
cana-4458	105	18	overlapping	overlap	VERB
cana-4458	105	19	with	with	ADP
cana-4458	105	20	gaussian	gaussian	ADJ
cana-4458	105	21	distribution	distribution	NOUN
cana-4458	105	22	comparison	comparison	NOUN
cana-4458	105	23	overview	overview	NOUN
cana-4458	105	24	of	of	ADP
cana-4458	105	25	the	the	DET
cana-4458	105	26	gaussian	gaussian	NOUN
cana-4458	105	27	and	and	CCONJ
cana-4458	105	28	gamma	gamma	PROPN
cana-4458	105	29	model	model	PROPN
cana-4458	105	30	:	:	PUNCT
cana-4458	105	31	the	the	DET
cana-4458	105	32	histogram	histogram	NOUN
cana-4458	105	33	analysis	analysis	NOUN
cana-4458	105	34	in	in	ADP
cana-4458	105	35	the	the	DET
cana-4458	105	36	previous	previous	ADJ
cana-4458	105	37	section	section	NOUN
cana-4458	105	38	revealed	reveal	VERB
cana-4458	105	39	that	that	SCONJ
cana-4458	105	40	the	the	DET
cana-4458	105	41	rainfall	rainfall	NOUN
cana-4458	105	42	data	datum	NOUN
cana-4458	105	43	for	for	ADP
cana-4458	105	44	this	this	DET
cana-4458	105	45	study	study	NOUN
cana-4458	105	46	deviates	deviate	VERB
cana-4458	105	47	significantly	significantly	ADV
cana-4458	105	48	from	from	ADP
cana-4458	105	49	a	a	DET
cana-4458	105	50	gaussian	gaussian	ADJ
cana-4458	105	51	distribution	distribution	NOUN
cana-4458	105	52	,	,	PUNCT
cana-4458	105	53	highlighting	highlight	VERB
cana-4458	105	54	the	the	DET
cana-4458	105	55	need	need	NOUN
cana-4458	105	56	for	for	ADP
cana-4458	105	57	a	a	DET
cana-4458	105	58	model	model	NOUN
cana-4458	105	59	capable	capable	ADJ
cana-4458	105	60	of	of	ADP
cana-4458	105	61	capturing	capture	VERB
cana-4458	105	62	its	its	PRON
cana-4458	105	63	non	non	ADJ
cana-4458	105	64	-	-	ADJ
cana-4458	105	65	gaussian	gaussian	ADJ
cana-4458	105	66	characteristics	characteristic	NOUN
cana-4458	105	67	.	.	PUNCT
cana-4458	106	1	the	the	DET
cana-4458	106	2	work	work	NOUN
cana-4458	106	3	by	by	ADP
cana-4458	106	4	kokila	kokila	PROPN
cana-4458	106	5	and	and	CCONJ
cana-4458	106	6	iyengar	iyengar	ADJ
cana-4458	106	7	emphasizes	emphasize	VERB
cana-4458	106	8	the	the	DET
cana-4458	106	9	importance	importance	NOUN
cana-4458	106	10	of	of	ADP
cana-4458	106	11	gaussian	gaussian	ADJ
cana-4458	106	12	mixture	mixture	NOUN
cana-4458	106	13	models	model	NOUN
cana-4458	106	14	for	for	ADP
cana-4458	106	15	analyzing	analyze	VERB
cana-4458	106	16	monsoon	monsoon	NOUN
cana-4458	106	17	rainfall	rainfall	NOUN
cana-4458	106	18	and	and	CCONJ
cana-4458	106	19	subdivision	subdivision	NOUN
cana-4458	106	20	regions	region	NOUN
cana-4458	106	21	in	in	ADP
cana-4458	106	22	india	india	PROPN
cana-4458	106	23	.	.	PUNCT
cana-4458	107	1	building	build	VERB
cana-4458	107	2	on	on	ADP
cana-4458	107	3	this	this	DET
cana-4458	107	4	foundation	foundation	NOUN
cana-4458	107	5	,	,	PUNCT
cana-4458	107	6	the	the	DET
cana-4458	107	7	gaussian	gaussian	NOUN
cana-4458	107	8	and	and	CCONJ
cana-4458	107	9	gamma	gamma	NOUN
cana-4458	107	10	mixture	mixture	NOUN
cana-4458	107	11	model	model	NOUN
cana-4458	107	12	(	(	PUNCT
cana-4458	107	13	ggm	ggm	PROPN
cana-4458	107	14	)	)	PUNCT
cana-4458	107	15	is	be	AUX
cana-4458	107	16	introduced	introduce	VERB
cana-4458	107	17	as	as	ADP
cana-4458	107	18	an	an	DET
cana-4458	107	19	effective	effective	ADJ
cana-4458	107	20	approach	approach	NOUN
cana-4458	107	21	to	to	PART
cana-4458	107	22	address	address	VERB
cana-4458	107	23	the	the	DET
cana-4458	107	24	unique	unique	ADJ
cana-4458	107	25	characteristics	characteristic	NOUN
cana-4458	107	26	of	of	ADP
cana-4458	107	27	rainfall	rainfall	NOUN
cana-4458	107	28	distributions	distribution	NOUN
cana-4458	107	29	observed	observe	VERB
cana-4458	107	30	in	in	ADP
cana-4458	107	31	this	this	DET
cana-4458	107	32	study	study	NOUN
cana-4458	107	33	.	.	PUNCT
cana-4458	108	1	in	in	ADP
cana-4458	108	2	this	this	DET
cana-4458	108	3	paper	paper	NOUN
cana-4458	108	4	,	,	PUNCT
cana-4458	108	5	the	the	DET
cana-4458	108	6	objective	objective	NOUN
cana-4458	108	7	is	be	AUX
cana-4458	108	8	to	to	PART
cana-4458	108	9	model	model	VERB
cana-4458	108	10	indian	indian	ADJ
cana-4458	108	11	monsoon	monsoon	NOUN
cana-4458	108	12	rainfall	rainfall	NOUN
cana-4458	108	13	in	in	ADP
cana-4458	108	14	karnataka	karnataka	PROPN
cana-4458	108	15	's	's	PART
cana-4458	108	16	flood	flood	NOUN
cana-4458	108	17	-	-	PUNCT
cana-4458	108	18	prone	prone	ADJ
cana-4458	108	19	regions	region	NOUN
cana-4458	108	20	using	use	VERB
cana-4458	108	21	the	the	DET
cana-4458	108	22	gaussian	gaussian	NOUN
cana-4458	108	23	and	and	CCONJ
cana-4458	108	24	gamma	gamma	NOUN
cana-4458	108	25	mixture	mixture	NOUN
cana-4458	108	26	model	model	NOUN
cana-4458	108	27	.	.	PUNCT
cana-4458	109	1	the	the	DET
cana-4458	109	2	transformed	transform	VERB
cana-4458	109	3	variable	variable	NOUN
cana-4458	109	4	𝑧	𝑧	PROPN
cana-4458	109	5	is	be	AUX
cana-4458	109	6	proposed	propose	VERB
cana-4458	109	7	to	to	PART
cana-4458	109	8	be	be	AUX
cana-4458	109	9	modeled	model	VERB
cana-4458	109	10	as	as	ADP
cana-4458	109	11	a	a	DET
cana-4458	109	12	combination	combination	NOUN
cana-4458	109	13	of	of	ADP
cana-4458	109	14	gaussian	gaussian	NOUN
cana-4458	109	15	and	and	CCONJ
cana-4458	109	16	gamma	gamma	NOUN
cana-4458	109	17	random	random	ADJ
cana-4458	109	18	variables	variable	NOUN
cana-4458	109	19	𝑥	𝑥	X
cana-4458	109	20	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-4458	109	21	𝑦	𝑦	NOUN
cana-4458	109	22	,	,	PUNCT
cana-4458	109	23	with	with	ADP
cana-4458	109	24	a	a	DET
cana-4458	109	25	mixing	mix	VERB
cana-4458	109	26	proportion	proportion	NOUN
cana-4458	109	27	𝑤.	𝑤.	NOUN
cana-4458	109	28	these	these	DET
cana-4458	109	29	variables	variable	NOUN
cana-4458	109	30	are	be	AUX
cana-4458	109	31	assumed	assume	VERB
cana-4458	109	32	to	to	PART
cana-4458	109	33	be	be	AUX
cana-4458	109	34	independently	independently	ADV
cana-4458	109	35	and	and	CCONJ
cana-4458	109	36	identically	identically	ADV
cana-4458	109	37	distributed	distribute	VERB
cana-4458	109	38	.	.	PUNCT
cana-4458	110	1	the	the	DET
cana-4458	110	2	combination	combination	NOUN
cana-4458	110	3	is	be	AUX
cana-4458	110	4	expressed	express	VERB
cana-4458	110	5	as	as	ADP
cana-4458	110	6	a	a	DET
cana-4458	110	7	proportion	proportion	NOUN
cana-4458	110	8	𝑤𝑖	𝑤𝑖	ADP
cana-4458	110	9	,	,	PUNCT
cana-4458	110	10	which	which	PRON
cana-4458	110	11	determines	determine	VERB
cana-4458	110	12	the	the	DET
cana-4458	110	13	proportionate	proportionate	ADJ
cana-4458	110	14	contribution	contribution	NOUN
cana-4458	110	15	of	of	ADP
cana-4458	110	16	the	the	DET
cana-4458	110	17	two	two	NUM
cana-4458	110	18	distributions	distribution	NOUN
cana-4458	110	19	.	.	PUNCT
cana-4458	111	1	the	the	DET
cana-4458	111	2	model	model	NOUN
cana-4458	111	3	for	for	ADP
cana-4458	111	4	z	z	PROPN
cana-4458	111	5	is	be	AUX
cana-4458	111	6	mathematically	mathematically	ADV
cana-4458	111	7	represented	represent	VERB
cana-4458	111	8	as	as	ADP
cana-4458	111	9	:	:	PUNCT
cana-4458	111	10	𝑧	𝑧	NOUN
cana-4458	111	11	=	=	X
cana-4458	111	12	𝑤𝑥	𝑤𝑥	NOUN
cana-4458	111	13	+	+	X
cana-4458	111	14	(	(	PUNCT
cana-4458	111	15	1	1	NUM
cana-4458	111	16	−	−	NOUN
cana-4458	111	17	𝑤)𝑦	𝑤)𝑦	SYM
cana-4458	111	18	------------------------(2	------------------------(2	NOUN
cana-4458	111	19	)	)	PUNCT
cana-4458	111	20	this	this	DET
cana-4458	111	21	formulation	formulation	NOUN
cana-4458	111	22	sets	set	VERB
cana-4458	111	23	the	the	DET
cana-4458	111	24	foundation	foundation	NOUN
cana-4458	111	25	for	for	ADP
cana-4458	111	26	capturing	capture	VERB
cana-4458	111	27	the	the	DET
cana-4458	111	28	statistical	statistical	ADJ
cana-4458	111	29	complexity	complexity	NOUN
cana-4458	111	30	of	of	ADP
cana-4458	111	31	rainfall	rainfall	NOUN
cana-4458	111	32	data	datum	NOUN
cana-4458	111	33	,	,	PUNCT
cana-4458	111	34	offering	offer	VERB
cana-4458	111	35	a	a	DET
cana-4458	111	36	framework	framework	NOUN
cana-4458	111	37	for	for	ADP
cana-4458	111	38	understanding	understanding	NOUN
cana-4458	111	39	and	and	CCONJ
cana-4458	111	40	predicting	predict	VERB
cana-4458	111	41	rainfall	rainfall	NOUN
cana-4458	111	42	patterns	pattern	NOUN
cana-4458	111	43	in	in	ADP
cana-4458	111	44	karnataka	karnataka	PROPN
cana-4458	111	45	’s	’s	PART
cana-4458	111	46	flood	flood	NOUN
cana-4458	111	47	-	-	PUNCT
cana-4458	111	48	prone	prone	ADJ
cana-4458	111	49	regions	region	NOUN
cana-4458	111	50	.	.	PUNCT
cana-4458	112	1	the	the	DET
cana-4458	112	2	mean	mean	NOUN
cana-4458	112	3	and	and	CCONJ
cana-4458	112	4	variance	variance	NOUN
cana-4458	112	5	of	of	ADP
cana-4458	112	6	z	z	PROPN
cana-4458	112	7	conditioned	condition	VERB
cana-4458	112	8	on	on	ADP
cana-4458	112	9	u	u	NOUN
cana-4458	112	10	is	be	AUX
cana-4458	112	11	given	give	VERB
cana-4458	112	12	by	by	ADP
cana-4458	112	13	:	:	PUNCT
cana-4458	112	14	𝑚𝑧|𝑢	𝑚𝑧|𝑢	X
cana-4458	112	15	=	=	PUNCT
cana-4458	113	1	𝑤𝑚𝑥	𝑤𝑚𝑥	NOUN
cana-4458	113	2	+	+	CCONJ
cana-4458	113	3	(	(	PUNCT
cana-4458	113	4	1	1	NUM
cana-4458	113	5	−	−	PROPN
cana-4458	113	6	𝑤)𝑚𝑦	𝑤)𝑚𝑦	PROPN
cana-4458	113	7	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-4458	113	8	𝜎𝑧	𝜎𝑧	ADP
cana-4458	113	9	2	2	NUM
cana-4458	113	10	=	=	PUNCT
cana-4458	113	11	𝑤2𝜎𝑥	𝑤2𝜎𝑥	PUNCT
cana-4458	113	12	2	2	NUM
cana-4458	113	13	+	+	CCONJ
cana-4458	113	14	(	(	PUNCT
cana-4458	113	15	1	1	NUM
cana-4458	113	16	−	−	NOUN
cana-4458	113	17	𝑤)2𝜎𝑦	𝑤)2𝜎𝑦	NOUN
cana-4458	113	18	2	2	NUM
cana-4458	113	19	------------------------(3	------------------------(3	PROPN
cana-4458	113	20	)	)	PUNCT
cana-4458	113	21	communications	communication	NOUN
cana-4458	113	22	on	on	ADP
cana-4458	113	23	applied	apply	VERB
cana-4458	113	24	nonlinear	nonlinear	ADJ
cana-4458	113	25	analysis	analysis	NOUN
cana-4458	113	26	issn	issn	NOUN
cana-4458	113	27	:	:	PUNCT
cana-4458	113	28	1074	1074	NUM
cana-4458	113	29	-	-	PUNCT
cana-4458	113	30	133x	133x	NUM
cana-4458	113	31	vol	vol	NOUN
cana-4458	113	32	32	32	NUM
cana-4458	113	33	no	no	NOUN
cana-4458	113	34	.	.	PUNCT
cana-4458	114	1	9s	9s	NUM
cana-4458	114	2	(	(	PUNCT
cana-4458	114	3	2025	2025	NUM
cana-4458	114	4	)	)	PUNCT
cana-4458	114	5	2224	2224	NUM
cana-4458	114	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4458	115	1	the	the	DET
cana-4458	115	2	conditional	conditional	ADJ
cana-4458	115	3	probability	probability	NOUN
cana-4458	115	4	density	density	NOUN
cana-4458	115	5	function	function	NOUN
cana-4458	115	6	of	of	ADP
cana-4458	115	7	𝑧	𝑧	PRON
cana-4458	115	8	given	give	VERB
cana-4458	115	9	𝑢	𝑢	NOUN
cana-4458	115	10	is	be	AUX
cana-4458	115	11	formulated	formulate	VERB
cana-4458	115	12	as	as	ADP
cana-4458	115	13	:	:	PUNCT
cana-4458	115	14	𝑝(𝑧	𝑝(𝑧	PROPN
cana-4458	115	15	)	)	PUNCT
cana-4458	115	16	=	=	PUNCT
cana-4458	116	1	𝑤	𝑤	ADP
cana-4458	116	2	𝜎√2𝜋	𝜎√2𝜋	NOUN
cana-4458	116	3	𝑒	𝑒	NOUN
cana-4458	116	4	−	−	NOUN
cana-4458	116	5	(	(	PUNCT
cana-4458	116	6	𝑧𝑖−𝜇	𝑧𝑖−𝜇	PROPN
cana-4458	116	7	)	)	PUNCT
cana-4458	116	8	2	2	NUM
cana-4458	116	9	2𝜎2	2𝜎2	NUM
cana-4458	116	10	+	+	CCONJ
cana-4458	116	11	(	(	PUNCT
cana-4458	116	12	1	1	NUM
cana-4458	116	13	−	−	NOUN
cana-4458	117	1	𝑤)𝑧𝑖	𝑤)𝑧𝑖	PROPN
cana-4458	117	2	𝛼−1	𝛼−1	ADP
cana-4458	117	3	𝑒	𝑒	ADJ
cana-4458	117	4	−	−	NOUN
cana-4458	117	5	𝑧𝑖	𝑧𝑖	INTJ
cana-4458	117	6	𝛽	𝛽	NOUN
cana-4458	117	7	𝛽𝛼γ(𝛼	𝛽𝛼γ(𝛼	PROPN
cana-4458	117	8	)	)	PUNCT
cana-4458	117	9	------------------------(4	------------------------(4	PROPN
cana-4458	117	10	)	)	PUNCT
cana-4458	117	11	this	this	DET
cana-4458	117	12	equation	equation	NOUN
cana-4458	117	13	integrates	integrate	VERB
cana-4458	117	14	both	both	CCONJ
cana-4458	117	15	gaussian	gaussian	ADJ
cana-4458	117	16	and	and	CCONJ
cana-4458	117	17	gamma	gamma	NOUN
cana-4458	117	18	components	component	NOUN
cana-4458	117	19	,	,	PUNCT
cana-4458	117	20	with	with	ADP
cana-4458	117	21	the	the	DET
cana-4458	117	22	gaussian	gaussian	ADJ
cana-4458	117	23	part	part	NOUN
cana-4458	117	24	capturing	capture	VERB
cana-4458	117	25	central	central	ADJ
cana-4458	117	26	tendencies	tendency	NOUN
cana-4458	117	27	and	and	CCONJ
cana-4458	117	28	the	the	DET
cana-4458	117	29	gamma	gamma	PROPN
cana-4458	117	30	part	part	NOUN
cana-4458	117	31	addressing	address	VERB
cana-4458	117	32	the	the	DET
cana-4458	117	33	non	non	ADJ
cana-4458	117	34	-	-	ADJ
cana-4458	117	35	gaussian	gaussian	ADJ
cana-4458	117	36	characteristics	characteristic	NOUN
cana-4458	117	37	observed	observe	VERB
cana-4458	117	38	in	in	ADP
cana-4458	117	39	rainfall	rainfall	NOUN
cana-4458	117	40	data	datum	NOUN
cana-4458	117	41	.	.	PUNCT
cana-4458	118	1	this	this	DET
cana-4458	118	2	approach	approach	NOUN
cana-4458	118	3	is	be	AUX
cana-4458	118	4	particularly	particularly	ADV
cana-4458	118	5	effective	effective	ADJ
cana-4458	118	6	for	for	ADP
cana-4458	118	7	representing	represent	VERB
cana-4458	118	8	monsoon	monsoon	NOUN
cana-4458	118	9	rainfall	rainfall	NOUN
cana-4458	118	10	patterns	pattern	NOUN
cana-4458	118	11	in	in	ADP
cana-4458	118	12	karnataka	karnataka	PROPN
cana-4458	118	13	’s	’s	PART
cana-4458	118	14	flood	flood	NOUN
cana-4458	118	15	-	-	PUNCT
cana-4458	118	16	prone	prone	ADJ
cana-4458	118	17	regions	region	NOUN
cana-4458	118	18	.	.	PUNCT
cana-4458	119	1	the	the	DET
cana-4458	119	2	parameters	parameter	NOUN
cana-4458	119	3	μ	μ	NOUN
cana-4458	119	4	,	,	PUNCT
cana-4458	119	5	σ2	σ2	PROPN
cana-4458	119	6	,	,	PUNCT
cana-4458	119	7	α	α	PROPN
cana-4458	119	8	and	and	CCONJ
cana-4458	119	9	β	β	X
cana-4458	119	10	are	be	AUX
cana-4458	119	11	determined	determine	VERB
cana-4458	119	12	using	use	VERB
cana-4458	119	13	the	the	DET
cana-4458	119	14	maximum	maximum	ADJ
cana-4458	119	15	likelihood	likelihood	NOUN
cana-4458	119	16	estimation	estimation	NOUN
cana-4458	119	17	(	(	PUNCT
cana-4458	119	18	mle	mle	NOUN
cana-4458	119	19	)	)	PUNCT
cana-4458	119	20	method	method	NOUN
cana-4458	119	21	.	.	PUNCT
cana-4458	120	1	these	these	DET
cana-4458	120	2	parameters	parameter	NOUN
cana-4458	120	3	encapsulate	encapsulate	VERB
cana-4458	120	4	the	the	DET
cana-4458	120	5	essential	essential	ADJ
cana-4458	120	6	features	feature	NOUN
cana-4458	120	7	of	of	ADP
cana-4458	120	8	the	the	DET
cana-4458	120	9	gaussian	gaussian	NOUN
cana-4458	120	10	and	and	CCONJ
cana-4458	120	11	gamma	gamma	NOUN
cana-4458	120	12	distributions	distribution	NOUN
cana-4458	120	13	associated	associate	VERB
cana-4458	120	14	with	with	ADP
cana-4458	120	15	the	the	DET
cana-4458	120	16	random	random	ADJ
cana-4458	120	17	variables	variable	NOUN
cana-4458	120	18	x	x	PUNCT
cana-4458	120	19	and	and	CCONJ
cana-4458	120	20	y	y	PROPN
cana-4458	120	21	,	,	PUNCT
cana-4458	120	22	respectively	respectively	ADV
cana-4458	120	23	.	.	PUNCT
cana-4458	121	1	the	the	DET
cana-4458	121	2	likelihood	likelihood	NOUN
cana-4458	121	3	function	function	NOUN
cana-4458	121	4	l	l	NOUN
cana-4458	121	5	for	for	ADP
cana-4458	121	6	this	this	DET
cana-4458	121	7	model	model	NOUN
cana-4458	121	8	is	be	AUX
cana-4458	121	9	expressed	express	VERB
cana-4458	121	10	as	as	SCONJ
cana-4458	121	11	follows	follow	VERB
cana-4458	121	12	:	:	PUNCT
cana-4458	121	13	𝐿(𝜇	𝐿(𝜇	NUM
cana-4458	121	14	,	,	PUNCT
cana-4458	121	15	𝜎2	𝜎2	NOUN
cana-4458	121	16	,	,	PUNCT
cana-4458	121	17	𝛼	𝛼	NOUN
cana-4458	121	18	,	,	PUNCT
cana-4458	121	19	𝛽	𝛽	NOUN
cana-4458	121	20	)	)	PUNCT
cana-4458	121	21	=	=	SYM
cana-4458	122	1	∏	∏	PROPN
cana-4458	123	1	[	[	X
cana-4458	123	2	𝑤𝑖	𝑤𝑖	ADP
cana-4458	123	3	∗	∗	NOUN
cana-4458	123	4	𝑓𝑔𝑎𝑢𝑠𝑠𝑖𝑎𝑛(𝑥	𝑓𝑔𝑎𝑢𝑠𝑠𝑖𝑎𝑛(𝑥	PROPN
cana-4458	123	5	:	:	PUNCT
cana-4458	123	6	𝜇	𝜇	ADP
cana-4458	123	7	,	,	PUNCT
cana-4458	123	8	𝜎2	𝜎2	NOUN
cana-4458	123	9	)	)	PUNCT
cana-4458	124	1	+	+	CCONJ
cana-4458	124	2	(	(	PUNCT
cana-4458	124	3	1	1	NUM
cana-4458	124	4	−	−	NUM
cana-4458	124	5	𝑤𝑖	𝑤𝑖	NOUN
cana-4458	124	6	)	)	PUNCT
cana-4458	124	7	∗	∗	NOUN
cana-4458	124	8	𝑓𝑔𝑎𝑚𝑚𝑎(𝑦	𝑓𝑔𝑎𝑚𝑚𝑎(𝑦	PROPN
cana-4458	124	9	:	:	PUNCT
cana-4458	124	10	𝛼	𝛼	X
cana-4458	124	11	,	,	PUNCT
cana-4458	124	12	𝛽)]𝑛	𝛽)]𝑛	VERB
cana-4458	124	13	𝑖=1	𝑖=1	PROPN
cana-4458	124	14	------------(5	------------(5	ADV
cana-4458	124	15	)	)	PUNCT
cana-4458	124	16	maximizing	maximize	VERB
cana-4458	124	17	the	the	DET
cana-4458	124	18	likelihood	likelihood	NOUN
cana-4458	124	19	function	function	NOUN
cana-4458	124	20	directly	directly	ADV
cana-4458	124	21	can	can	AUX
cana-4458	124	22	be	be	AUX
cana-4458	124	23	computationally	computationally	ADV
cana-4458	124	24	complex	complex	ADJ
cana-4458	124	25	,	,	PUNCT
cana-4458	124	26	so	so	CCONJ
cana-4458	124	27	it	it	PRON
cana-4458	124	28	is	be	AUX
cana-4458	124	29	more	more	ADV
cana-4458	124	30	practical	practical	ADJ
cana-4458	124	31	to	to	PART
cana-4458	124	32	work	work	VERB
cana-4458	124	33	with	with	ADP
cana-4458	124	34	the	the	DET
cana-4458	124	35	logarithm	logarithm	NOUN
cana-4458	124	36	of	of	ADP
cana-4458	124	37	the	the	DET
cana-4458	124	38	likelihood	likelihood	NOUN
cana-4458	124	39	function	function	NOUN
cana-4458	124	40	.	.	PUNCT
cana-4458	125	1	the	the	DET
cana-4458	125	2	logarithmic	logarithmic	ADJ
cana-4458	125	3	transformation	transformation	NOUN
cana-4458	125	4	simplifies	simplifie	NOUN
cana-4458	125	5	the	the	DET
cana-4458	125	6	calculations	calculation	NOUN
cana-4458	125	7	while	while	SCONJ
cana-4458	125	8	preserving	preserve	VERB
cana-4458	125	9	the	the	DET
cana-4458	125	10	relationships	relationship	NOUN
cana-4458	125	11	,	,	PUNCT
cana-4458	125	12	ensuring	ensure	VERB
cana-4458	125	13	that	that	SCONJ
cana-4458	125	14	maximizing	maximize	VERB
cana-4458	125	15	the	the	DET
cana-4458	125	16	log	log	NOUN
cana-4458	125	17	-	-	PUNCT
cana-4458	125	18	likelihood	likelihood	NOUN
cana-4458	125	19	yields	yield	NOUN
cana-4458	125	20	the	the	DET
cana-4458	125	21	same	same	ADJ
cana-4458	125	22	result	result	NOUN
cana-4458	125	23	as	as	ADP
cana-4458	125	24	maximizing	maximize	VERB
cana-4458	125	25	the	the	DET
cana-4458	125	26	original	original	ADJ
cana-4458	125	27	likelihood	likelihood	NOUN
cana-4458	125	28	.	.	PUNCT
cana-4458	126	1	the	the	DET
cana-4458	126	2	log	log	NOUN
cana-4458	126	3	-	-	PUNCT
cana-4458	126	4	likelihood	likelihood	NOUN
cana-4458	126	5	function	function	NOUN
cana-4458	126	6	is	be	AUX
cana-4458	126	7	represented	represent	VERB
cana-4458	126	8	as	as	ADP
cana-4458	126	9	:	:	PUNCT
cana-4458	126	10	ln[𝐿(𝜇	ln[𝐿(𝜇	ADV
cana-4458	126	11	,	,	PUNCT
cana-4458	126	12	𝜎2	𝜎2	NOUN
cana-4458	126	13	,	,	PUNCT
cana-4458	126	14	𝛼	𝛼	NOUN
cana-4458	126	15	,	,	PUNCT
cana-4458	126	16	𝛽	𝛽	NOUN
cana-4458	126	17	)	)	PUNCT
cana-4458	126	18	]	]	PUNCT
cana-4458	127	1	=	=	PUNCT
cana-4458	127	2	∑	∑	PUNCT
cana-4458	127	3	ln	ln	X
cana-4458	127	4	[	[	PUNCT
cana-4458	127	5	𝑤	𝑤	ADP
cana-4458	127	6	𝜎√2𝜋	𝜎√2𝜋	NOUN
cana-4458	127	7	𝑒	𝑒	NOUN
cana-4458	127	8	−	−	NOUN
cana-4458	127	9	(	(	PUNCT
cana-4458	127	10	𝑧𝑖−𝜇	𝑧𝑖−𝜇	PROPN
cana-4458	127	11	)	)	PUNCT
cana-4458	127	12	2	2	NUM
cana-4458	127	13	2𝜎2	2𝜎2	NUM
cana-4458	127	14	+	+	CCONJ
cana-4458	127	15	(	(	PUNCT
cana-4458	127	16	1	1	NUM
cana-4458	127	17	−	−	NOUN
cana-4458	127	18	𝑤)𝑧𝑖	𝑤)𝑧𝑖	PROPN
cana-4458	128	1	𝛼−1	𝛼−1	ADP
cana-4458	128	2	𝑒	𝑒	ADJ
cana-4458	128	3	−	−	NOUN
cana-4458	128	4	𝑧𝑖	𝑧𝑖	INTJ
cana-4458	128	5	𝛽	𝛽	PROPN
cana-4458	128	6	𝛽𝛼𝛤(𝛼	𝛽𝛼𝛤(𝛼	PROPN
cana-4458	128	7	)	)	PUNCT
cana-4458	128	8	]	]	PUNCT
cana-4458	128	9	𝑛	𝑛	DET
cana-4458	128	10	𝑖=1	𝑖=1	PUNCT
cana-4458	128	11	------------------------(6	------------------------(6	NOUN
cana-4458	128	12	)	)	PUNCT
cana-4458	128	13	to	to	PART
cana-4458	128	14	determine	determine	VERB
cana-4458	128	15	the	the	DET
cana-4458	128	16	optimal	optimal	ADJ
cana-4458	128	17	estimates	estimate	NOUN
cana-4458	128	18	for	for	ADP
cana-4458	128	19	each	each	DET
cana-4458	128	20	parameter	parameter	NOUN
cana-4458	128	21	,	,	PUNCT
cana-4458	128	22	the	the	DET
cana-4458	128	23	partial	partial	ADJ
cana-4458	128	24	derivatives	derivative	NOUN
cana-4458	128	25	of	of	ADP
cana-4458	128	26	the	the	DET
cana-4458	128	27	log	log	NOUN
cana-4458	128	28	-	-	PUNCT
cana-4458	128	29	likelihood	likelihood	NOUN
cana-4458	128	30	function	function	NOUN
cana-4458	128	31	are	be	AUX
cana-4458	128	32	calculated	calculate	VERB
cana-4458	128	33	with	with	ADP
cana-4458	128	34	respect	respect	NOUN
cana-4458	128	35	to	to	ADP
cana-4458	128	36	each	each	DET
cana-4458	128	37	parameter	parameter	NOUN
cana-4458	128	38	.	.	PUNCT
cana-4458	129	1	these	these	DET
cana-4458	129	2	derivatives	derivative	NOUN
cana-4458	129	3	are	be	AUX
cana-4458	129	4	then	then	ADV
cana-4458	129	5	set	set	VERB
cana-4458	129	6	to	to	ADP
cana-4458	129	7	zero	zero	NUM
cana-4458	129	8	,	,	PUNCT
cana-4458	129	9	and	and	CCONJ
cana-4458	129	10	the	the	DET
cana-4458	129	11	resulting	result	VERB
cana-4458	129	12	equations	equation	NOUN
cana-4458	129	13	are	be	AUX
cana-4458	129	14	solved	solve	VERB
cana-4458	129	15	to	to	PART
cana-4458	129	16	obtain	obtain	VERB
cana-4458	129	17	the	the	DET
cana-4458	129	18	parameter	parameter	NOUN
cana-4458	129	19	values	value	NOUN
cana-4458	129	20	.	.	PUNCT
cana-4458	130	1	this	this	DET
cana-4458	130	2	process	process	NOUN
cana-4458	130	3	provides	provide	VERB
cana-4458	130	4	the	the	DET
cana-4458	130	5	estimates	estimate	NOUN
cana-4458	130	6	for	for	ADP
cana-4458	130	7	μ	μ	NOUN
cana-4458	130	8	,	,	PUNCT
cana-4458	130	9	σ2	σ2	PROPN
cana-4458	130	10	,	,	PUNCT
cana-4458	130	11	α	α	NOUN
cana-4458	130	12	and	and	CCONJ
cana-4458	130	13	β	β	NOUN
cana-4458	130	14	,	,	PUNCT
cana-4458	130	15	as	as	SCONJ
cana-4458	130	16	presented	present	VERB
cana-4458	130	17	in	in	ADP
cana-4458	130	18	table	table	NOUN
cana-4458	130	19	4	4	NUM
cana-4458	130	20	.	.	PUNCT
cana-4458	130	21	table	table	NOUN
cana-4458	130	22	4	4	NUM
cana-4458	130	23	:	:	PUNCT
cana-4458	131	1	the	the	DET
cana-4458	131	2	parameter	parameter	NOUN
cana-4458	131	3	values	value	NOUN
cana-4458	131	4	calculated	calculate	VERB
cana-4458	131	5	using	use	VERB
cana-4458	131	6	maximum	maximum	ADJ
cana-4458	131	7	likelihood	likelihood	NOUN
cana-4458	131	8	method	method	NOUN
cana-4458	131	9	from	from	ADP
cana-4458	131	10	equation	equation	NOUN
cana-4458	131	11	(	(	PUNCT
cana-4458	131	12	4	4	NUM
cana-4458	131	13	)	)	PUNCT
cana-4458	131	14	region	region	NOUN
cana-4458	131	15	𝑤	𝑤	ADP
cana-4458	131	16	𝜇	𝜇	ADP
cana-4458	131	17	𝜎2	𝜎2	PROPN
cana-4458	131	18	𝛼	𝛼	NOUN
cana-4458	131	19	𝛽	𝛽	NOUN
cana-4458	131	20	dakshina	dakshina	NOUN
cana-4458	131	21	kannada	kannada	PROPN
cana-4458	131	22	0.54	0.54	NUM
cana-4458	131	23	-0.16	-0.16	NUM
cana-4458	131	24	0.02	0.02	NUM
cana-4458	131	25	0.01	0.01	NUM
cana-4458	131	26	0.42	0.42	NUM
cana-4458	131	27	udupi	udupi	NOUN
cana-4458	131	28	0.47	0.47	NUM
cana-4458	131	29	-0.15	-0.15	NUM
cana-4458	131	30	0.01	0.01	NUM
cana-4458	131	31	0.03	0.03	NUM
cana-4458	131	32	0.01	0.01	NUM
cana-4458	131	33	uttara	uttara	PROPN
cana-4458	131	34	kannada	kannada	PROPN
cana-4458	131	35	0.55	0.55	NUM
cana-4458	131	36	-0.10	-0.10	NUM
cana-4458	131	37	0.07	0.07	NUM
cana-4458	131	38	0.01	0.01	NUM
cana-4458	131	39	0.02	0.02	NUM
cana-4458	131	40	chikkamagalur	chikkamagalur	NOUN
cana-4458	131	41	0.49	0.49	NUM
cana-4458	131	42	-0.17	-0.17	NUM
cana-4458	131	43	0.02	0.02	NUM
cana-4458	131	44	0.04	0.04	NUM
cana-4458	131	45	0.53	0.53	NUM
cana-4458	131	46	kodagu	kodagu	NOUN
cana-4458	131	47	0.54	0.54	NUM
cana-4458	131	48	-0.19	-0.19	NOUN
cana-4458	131	49	0.02	0.02	NUM
cana-4458	131	50	0.01	0.01	NUM
cana-4458	131	51	0.02	0.02	NUM
cana-4458	131	52	shivamoga	shivamoga	NOUN
cana-4458	131	53	0.54	0.54	NUM
cana-4458	131	54	-0.22	-0.22	NUM
cana-4458	131	55	0.03	0.03	NUM
cana-4458	131	56	0.03	0.03	NUM
cana-4458	131	57	0.07	0.07	NUM
cana-4458	131	58	communications	communication	NOUN
cana-4458	131	59	on	on	ADP
cana-4458	131	60	applied	apply	VERB
cana-4458	131	61	nonlinear	nonlinear	ADJ
cana-4458	131	62	analysis	analysis	NOUN
cana-4458	131	63	issn	issn	NOUN
cana-4458	131	64	:	:	PUNCT
cana-4458	131	65	1074	1074	NUM
cana-4458	131	66	-	-	PUNCT
cana-4458	131	67	133x	133x	NUM
cana-4458	131	68	vol	vol	NOUN
cana-4458	131	69	32	32	NUM
cana-4458	131	70	no	no	NOUN
cana-4458	131	71	.	.	PUNCT
cana-4458	132	1	9s	9s	NUM
cana-4458	132	2	(	(	PUNCT
cana-4458	132	3	2025	2025	NUM
cana-4458	132	4	)	)	PUNCT
cana-4458	132	5	2225	2225	NUM
cana-4458	132	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4458	132	7	equation	equation	NOUN
cana-4458	132	8	(	(	PUNCT
cana-4458	132	9	3	3	X
cana-4458	132	10	)	)	PUNCT
cana-4458	132	11	has	have	AUX
cana-4458	132	12	been	be	AUX
cana-4458	132	13	validated	validate	VERB
cana-4458	132	14	to	to	PART
cana-4458	132	15	meet	meet	VERB
cana-4458	132	16	all	all	DET
cana-4458	132	17	the	the	DET
cana-4458	132	18	criteria	criterion	NOUN
cana-4458	132	19	of	of	ADP
cana-4458	132	20	a	a	DET
cana-4458	132	21	valid	valid	ADJ
cana-4458	132	22	probability	probability	NOUN
cana-4458	132	23	density	density	NOUN
cana-4458	132	24	function	function	NOUN
cana-4458	132	25	.	.	PUNCT
cana-4458	133	1	this	this	DET
cana-4458	133	2	model	model	NOUN
cana-4458	133	3	is	be	AUX
cana-4458	133	4	then	then	ADV
cana-4458	133	5	applied	apply	VERB
cana-4458	133	6	to	to	ADP
cana-4458	133	7	the	the	DET
cana-4458	133	8	original	original	ADJ
cana-4458	133	9	dataset	dataset	NOUN
cana-4458	133	10	using	use	VERB
cana-4458	133	11	the	the	DET
cana-4458	133	12	transformation	transformation	NOUN
cana-4458	133	13	specified	specify	VERB
cana-4458	133	14	in	in	ADP
cana-4458	133	15	equation	equation	NOUN
cana-4458	133	16	(	(	PUNCT
cana-4458	133	17	6	6	NUM
cana-4458	133	18	)	)	PUNCT
cana-4458	133	19	.	.	PUNCT
cana-4458	134	1	the	the	DET
cana-4458	134	2	resulting	result	VERB
cana-4458	134	3	probability	probability	NOUN
cana-4458	134	4	density	density	NOUN
cana-4458	134	5	function	function	NOUN
cana-4458	134	6	for	for	ADP
cana-4458	134	7	𝑅	𝑅	PROPN
cana-4458	134	8	is	be	AUX
cana-4458	134	9	given	give	VERB
cana-4458	134	10	as	as	ADP
cana-4458	134	11	below	below	ADV
cana-4458	134	12	.	.	PUNCT
cana-4458	135	1	𝑝(𝑅	𝑝(𝑅	NOUN
cana-4458	135	2	)	)	PUNCT
cana-4458	135	3	=	=	SYM
cana-4458	135	4	1	1	NUM
cana-4458	135	5	𝑅	𝑅	PROPN
cana-4458	135	6	[	[	PUNCT
cana-4458	135	7	𝑤	𝑤	ADP
cana-4458	135	8	𝜎√2𝜋	𝜎√2𝜋	NOUN
cana-4458	135	9	𝑒	𝑒	NOUN
cana-4458	135	10	−	−	NOUN
cana-4458	135	11	(	(	PUNCT
cana-4458	135	12	log	log	NOUN
cana-4458	135	13	(	(	PUNCT
cana-4458	135	14	𝑅𝑖	𝑅𝑖	PROPN
cana-4458	135	15	𝑚𝑧	𝑚𝑧	NOUN
cana-4458	135	16	)	)	PUNCT
cana-4458	135	17	−𝜇	−𝜇	VERB
cana-4458	135	18	)	)	PUNCT
cana-4458	135	19	2	2	NUM
cana-4458	135	20	2𝜎2	2𝜎2	NUM
cana-4458	135	21	+	+	CCONJ
cana-4458	135	22	(	(	PUNCT
cana-4458	135	23	1	1	NUM
cana-4458	135	24	−	−	NOUN
cana-4458	136	1	𝑤)𝑧𝑖	𝑤)𝑧𝑖	PROPN
cana-4458	136	2	𝛼−1	𝛼−1	ADP
cana-4458	136	3	𝑒	𝑒	PROPN
cana-4458	136	4	−	−	NOUN
cana-4458	136	5	log	log	NOUN
cana-4458	136	6	(	(	PUNCT
cana-4458	136	7	)	)	PUNCT
cana-4458	136	8	𝛽	𝛽	NOUN
cana-4458	136	9	𝛽𝛼γ(𝛼	𝛽𝛼γ(𝛼	PROPN
cana-4458	136	10	)	)	PUNCT
cana-4458	136	11	]	]	PUNCT
cana-4458	136	12	------------------------(7	------------------------(7	X
cana-4458	136	13	)	)	PUNCT
cana-4458	136	14	figure	figure	NOUN
cana-4458	136	15	3	3	NUM
cana-4458	136	16	presents	present	VERB
cana-4458	136	17	a	a	DET
cana-4458	136	18	comparison	comparison	NOUN
cana-4458	136	19	between	between	ADP
cana-4458	136	20	the	the	DET
cana-4458	136	21	sample	sample	NOUN
cana-4458	136	22	histogram	histogram	NOUN
cana-4458	136	23	of	of	ADP
cana-4458	136	24	the	the	DET
cana-4458	136	25	observed	observe	VERB
cana-4458	136	26	data	datum	NOUN
cana-4458	136	27	and	and	CCONJ
cana-4458	136	28	the	the	DET
cana-4458	136	29	transformed	transform	VERB
cana-4458	136	30	gaussian	gaussian	NOUN
cana-4458	136	31	and	and	CCONJ
cana-4458	136	32	gamma	gamma	NOUN
cana-4458	136	33	mixture	mixture	NOUN
cana-4458	136	34	(	(	PUNCT
cana-4458	136	35	ggm	ggm	NOUN
cana-4458	136	36	)	)	PUNCT
cana-4458	136	37	model	model	NOUN
cana-4458	136	38	.	.	PUNCT
cana-4458	137	1	the	the	DET
cana-4458	137	2	visual	visual	ADJ
cana-4458	137	3	analysis	analysis	NOUN
cana-4458	137	4	reveals	reveal	VERB
cana-4458	137	5	that	that	SCONJ
cana-4458	137	6	the	the	DET
cana-4458	137	7	ggm	ggm	PROPN
cana-4458	137	8	model	model	NOUN
cana-4458	137	9	aligns	align	VERB
cana-4458	137	10	closely	closely	ADV
cana-4458	137	11	with	with	ADP
cana-4458	137	12	the	the	DET
cana-4458	137	13	probability	probability	NOUN
cana-4458	137	14	density	density	NOUN
cana-4458	137	15	function	function	NOUN
cana-4458	137	16	described	describe	VERB
cana-4458	137	17	in	in	ADP
cana-4458	137	18	equation	equation	NOUN
cana-4458	137	19	(	(	PUNCT
cana-4458	137	20	7	7	NUM
cana-4458	137	21	)	)	PUNCT
cana-4458	137	22	,	,	PUNCT
cana-4458	137	23	effectively	effectively	ADV
cana-4458	137	24	capturing	capture	VERB
cana-4458	137	25	the	the	DET
cana-4458	137	26	overall	overall	ADJ
cana-4458	137	27	data	datum	NOUN
cana-4458	137	28	distribution	distribution	NOUN
cana-4458	137	29	.	.	PUNCT
cana-4458	138	1	the	the	DET
cana-4458	138	2	first	first	ADJ
cana-4458	138	3	four	four	NUM
cana-4458	138	4	moments	moment	NOUN
cana-4458	138	5	of	of	ADP
cana-4458	138	6	the	the	DET
cana-4458	138	7	ggm	ggm	PROPN
cana-4458	138	8	model	model	NOUN
cana-4458	138	9	,	,	PUNCT
cana-4458	138	10	including	include	VERB
cana-4458	138	11	the	the	DET
cana-4458	138	12	mean	mean	ADJ
cana-4458	138	13	,	,	PUNCT
cana-4458	138	14	variance	variance	NOUN
cana-4458	138	15	,	,	PUNCT
cana-4458	138	16	skewness	skewness	NOUN
cana-4458	138	17	,	,	PUNCT
cana-4458	138	18	and	and	CCONJ
cana-4458	138	19	kurtosis	kurtosis	NOUN
cana-4458	138	20	,	,	PUNCT
cana-4458	138	21	have	have	AUX
cana-4458	138	22	been	be	AUX
cana-4458	138	23	computed	compute	VERB
cana-4458	138	24	and	and	CCONJ
cana-4458	138	25	compared	compare	VERB
cana-4458	138	26	with	with	ADP
cana-4458	138	27	those	those	PRON
cana-4458	138	28	of	of	ADP
cana-4458	138	29	the	the	DET
cana-4458	138	30	observed	observed	ADJ
cana-4458	138	31	data	datum	NOUN
cana-4458	138	32	,	,	PUNCT
cana-4458	138	33	as	as	SCONJ
cana-4458	138	34	shown	show	VERB
cana-4458	138	35	in	in	ADP
cana-4458	138	36	table	table	NOUN
cana-4458	138	37	5	5	NUM
cana-4458	138	38	.	.	PUNCT
cana-4458	139	1	if	if	SCONJ
cana-4458	139	2	the	the	DET
cana-4458	139	3	data	datum	NOUN
cana-4458	139	4	adhered	adhere	VERB
cana-4458	139	5	to	to	ADP
cana-4458	139	6	a	a	DET
cana-4458	139	7	gaussian	gaussian	ADJ
cana-4458	139	8	distribution	distribution	NOUN
cana-4458	139	9	,	,	PUNCT
cana-4458	139	10	the	the	DET
cana-4458	139	11	skewness	skewness	NOUN
cana-4458	139	12	and	and	CCONJ
cana-4458	139	13	kurtosis	kurtosis	VERB
cana-4458	139	14	values	value	NOUN
cana-4458	139	15	respectively	respectively	ADV
cana-4458	139	16	.	.	PUNCT
cana-4458	140	1	however	however	ADV
cana-4458	140	2	,	,	PUNCT
cana-4458	140	3	the	the	DET
cana-4458	140	4	analysis	analysis	NOUN
cana-4458	140	5	shows	show	VERB
cana-4458	140	6	significant	significant	ADJ
cana-4458	140	7	deviations	deviation	NOUN
cana-4458	140	8	in	in	ADP
cana-4458	140	9	these	these	DET
cana-4458	140	10	metrics	metric	NOUN
cana-4458	140	11	across	across	ADP
cana-4458	140	12	all	all	DET
cana-4458	140	13	cases	case	NOUN
cana-4458	140	14	,	,	PUNCT
cana-4458	140	15	confirming	confirm	VERB
cana-4458	140	16	that	that	SCONJ
cana-4458	140	17	the	the	DET
cana-4458	140	18	observed	observed	ADJ
cana-4458	140	19	data	datum	NOUN
cana-4458	140	20	does	do	AUX
cana-4458	140	21	not	not	PART
cana-4458	140	22	follow	follow	VERB
cana-4458	140	23	a	a	DET
cana-4458	140	24	gaussian	gaussian	ADJ
cana-4458	140	25	distribution	distribution	NOUN
cana-4458	140	26	.	.	PUNCT
cana-4458	141	1	further	far	ADV
cana-4458	141	2	demonstrates	demonstrate	VERB
cana-4458	141	3	that	that	SCONJ
cana-4458	141	4	the	the	DET
cana-4458	141	5	ggm	ggm	PROPN
cana-4458	141	6	model	model	NOUN
cana-4458	141	7	successfully	successfully	ADV
cana-4458	141	8	replicates	replicate	VERB
cana-4458	141	9	the	the	DET
cana-4458	141	10	moments	moment	NOUN
cana-4458	141	11	of	of	ADP
cana-4458	141	12	the	the	DET
cana-4458	141	13	data	datum	NOUN
cana-4458	141	14	,	,	PUNCT
cana-4458	141	15	particularly	particularly	ADV
cana-4458	141	16	the	the	DET
cana-4458	141	17	skewness	skewness	NOUN
cana-4458	141	18	and	and	CCONJ
cana-4458	141	19	kurtosis	kurtosis	NOUN
cana-4458	141	20	,	,	PUNCT
cana-4458	141	21	which	which	PRON
cana-4458	141	22	are	be	AUX
cana-4458	141	23	critical	critical	ADJ
cana-4458	141	24	for	for	ADP
cana-4458	141	25	understanding	understand	VERB
cana-4458	141	26	non	non	ADJ
cana-4458	141	27	-	-	ADJ
cana-4458	141	28	gaussian	gaussian	ADJ
cana-4458	141	29	behavior	behavior	NOUN
cana-4458	141	30	.	.	PUNCT
cana-4458	142	1	this	this	DET
cana-4458	142	2	ability	ability	NOUN
cana-4458	142	3	to	to	PART
cana-4458	142	4	accurately	accurately	ADV
cana-4458	142	5	capture	capture	VERB
cana-4458	142	6	the	the	DET
cana-4458	142	7	key	key	ADJ
cana-4458	142	8	statistical	statistical	ADJ
cana-4458	142	9	properties	property	NOUN
cana-4458	142	10	of	of	ADP
cana-4458	142	11	the	the	DET
cana-4458	142	12	data	data	NOUN
cana-4458	142	13	underscores	underscore	VERB
cana-4458	142	14	the	the	DET
cana-4458	142	15	reliability	reliability	NOUN
cana-4458	142	16	of	of	ADP
cana-4458	142	17	the	the	DET
cana-4458	142	18	ggm	ggm	PROPN
cana-4458	142	19	model	model	NOUN
cana-4458	142	20	for	for	ADP
cana-4458	142	21	representing	represent	VERB
cana-4458	142	22	rainfall	rainfall	NOUN
cana-4458	142	23	patterns	pattern	NOUN
cana-4458	142	24	.	.	PUNCT
cana-4458	143	1	its	its	PRON
cana-4458	143	2	effectiveness	effectiveness	NOUN
cana-4458	143	3	in	in	ADP
cana-4458	143	4	modeling	model	VERB
cana-4458	143	5	the	the	DET
cana-4458	143	6	observed	observe	VERB
cana-4458	143	7	data	data	NOUN
cana-4458	143	8	highlights	highlight	VERB
cana-4458	143	9	its	its	PRON
cana-4458	143	10	suitability	suitability	NOUN
cana-4458	143	11	for	for	ADP
cana-4458	143	12	analyzing	analyze	VERB
cana-4458	143	13	complex	complex	ADJ
cana-4458	143	14	distributions	distribution	NOUN
cana-4458	143	15	in	in	ADP
cana-4458	143	16	this	this	DET
cana-4458	143	17	study	study	NOUN
cana-4458	143	18	.	.	PUNCT
cana-4458	144	1	table	table	NOUN
cana-4458	144	2	5	5	NUM
cana-4458	144	3	:	:	PUNCT
cana-4458	144	4	comparison	comparison	NOUN
cana-4458	144	5	between	between	ADP
cana-4458	144	6	the	the	DET
cana-4458	144	7	ggm	ggm	PROPN
cana-4458	144	8	model	model	NOUN
cana-4458	144	9	moments	moment	NOUN
cana-4458	144	10	with	with	ADP
cana-4458	144	11	the	the	DET
cana-4458	144	12	original	original	ADJ
cana-4458	144	13	data	datum	NOUN
cana-4458	144	14	moments	moment	NOUN
cana-4458	144	15	actual	actual	ADJ
cana-4458	144	16	moments	moment	NOUN
cana-4458	144	17	(	(	PUNCT
cana-4458	144	18	r	r	NOUN
cana-4458	144	19	)	)	PUNCT
cana-4458	144	20	model	model	NOUN
cana-4458	144	21	moments	moment	NOUN
cana-4458	144	22	(	(	PUNCT
cana-4458	144	23	r	r	NOUN
cana-4458	144	24	)	)	PUNCT
cana-4458	144	25	region/	region/	PROPN
cana-4458	144	26	subdivision	subdivision	NOUN
cana-4458	144	27	𝜇𝑅	𝜇𝑅	NOUN
cana-4458	144	28	𝜎𝑅	𝜎𝑅	ADP
cana-4458	144	29	𝑆𝑘𝑅	𝑆𝑘𝑅	NOUN
cana-4458	144	30	𝐾𝑢𝑅	𝐾𝑢𝑅	PROPN
cana-4458	144	31	𝜇𝑅𝑖	𝜇𝑅𝑖	NOUN
cana-4458	144	32	𝜎𝑅𝑖	𝜎𝑅𝑖	NUM
cana-4458	144	33	𝑆𝑘𝑅𝑖	𝑆𝑘𝑅𝑖	NOUN
cana-4458	144	34	𝐾𝑢𝑅𝑖	𝐾𝑢𝑅𝑖	NOUN
cana-4458	144	35	dakshina	dakshina	NOUN
cana-4458	144	36	kannada	kannada	PROPN
cana-4458	144	37	158.06	158.06	NUM
cana-4458	144	38	30.85	30.85	NUM
cana-4458	144	39	0.43	0.43	NUM
cana-4458	144	40	0.33	0.33	NUM
cana-4458	144	41	157.06	157.06	NUM
cana-4458	144	42	31.62	31.62	NUM
cana-4458	144	43	0.49	0.49	NUM
cana-4458	144	44	0.33	0.33	NUM
cana-4458	144	45	udupi	udupi	NOUN
cana-4458	144	46	107.15	107.15	NUM
cana-4458	144	47	17.04	17.04	NUM
cana-4458	144	48	0.18	0.18	NUM
cana-4458	144	49	-0.34	-0.34	PROPN
cana-4458	144	50	107.35	107.35	NUM
cana-4458	144	51	17.32	17.32	NUM
cana-4458	144	52	0.18	0.18	NUM
cana-4458	144	53	-0.33	-0.33	PROPN
cana-4458	144	54	uttara	uttara	PROPN
cana-4458	144	55	kannada	kannada	PROPN
cana-4458	144	56	270.80	270.80	NUM
cana-4458	144	57	35.59	35.59	NUM
cana-4458	144	58	0.37	0.37	NUM
cana-4458	144	59	0.47	0.47	NUM
cana-4458	144	60	270.03	270.03	NUM
cana-4458	144	61	35.35	35.35	NUM
cana-4458	144	62	0.39	0.39	NUM
cana-4458	144	63	0.48	0.48	NUM
cana-4458	144	64	chikkamagalur	chikkamagalur	NOUN
cana-4458	144	65	101.25	101.25	NUM
cana-4458	144	66	19.79	19.79	NUM
cana-4458	144	67	0.47	0.47	NUM
cana-4458	144	68	0.42	0.42	NUM
cana-4458	144	69	101.49	101.49	NUM
cana-4458	144	70	19.49	19.49	NUM
cana-4458	144	71	0.48	0.48	NUM
cana-4458	144	72	0.45	0.45	NUM
cana-4458	144	73	kodagu	kodagu	NOUN
cana-4458	144	74	63.05	63.05	NUM
cana-4458	144	75	14.96	14.96	NUM
cana-4458	144	76	0.86	0.86	NUM
cana-4458	144	77	1.15	1.15	NUM
cana-4458	144	78	62.57	62.57	NUM
cana-4458	144	79	14.14	14.14	NUM
cana-4458	144	80	0.82	0.82	NUM
cana-4458	144	81	1.19	1.19	NUM
cana-4458	144	82	shivamoga	shivamoga	NOUN
cana-4458	144	83	98.63	98.63	NUM
cana-4458	144	84	24.28	24.28	NUM
cana-4458	144	85	0.42	0.42	NUM
cana-4458	144	86	-0.01	-0.01	NUM
cana-4458	144	87	98.60	98.60	NUM
cana-4458	144	88	24.50	24.50	NUM
cana-4458	144	89	0.45	0.45	NUM
cana-4458	144	90	-0.08	-0.08	PRON
cana-4458	144	91	communications	communication	NOUN
cana-4458	144	92	on	on	ADP
cana-4458	144	93	applied	apply	VERB
cana-4458	144	94	nonlinear	nonlinear	ADJ
cana-4458	144	95	analysis	analysis	NOUN
cana-4458	144	96	issn	issn	NOUN
cana-4458	144	97	:	:	PUNCT
cana-4458	144	98	1074	1074	NUM
cana-4458	144	99	-	-	PUNCT
cana-4458	144	100	133x	133x	NUM
cana-4458	144	101	vol	vol	NOUN
cana-4458	144	102	32	32	NUM
cana-4458	144	103	no	no	NOUN
cana-4458	144	104	.	.	PUNCT
cana-4458	145	1	9s	9s	NUM
cana-4458	145	2	(	(	PUNCT
cana-4458	145	3	2025	2025	NUM
cana-4458	145	4	)	)	PUNCT
cana-4458	145	5	2226	2226	NUM
cana-4458	146	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4458	146	2	communications	communication	NOUN
cana-4458	146	3	on	on	ADP
cana-4458	146	4	applied	apply	VERB
cana-4458	146	5	nonlinear	nonlinear	ADJ
cana-4458	146	6	analysis	analysis	NOUN
cana-4458	146	7	issn	issn	NOUN
cana-4458	146	8	:	:	PUNCT
cana-4458	146	9	1074	1074	NUM
cana-4458	146	10	-	-	PUNCT
cana-4458	146	11	133x	133x	NUM
cana-4458	146	12	vol	vol	NOUN
cana-4458	146	13	32	32	NUM
cana-4458	146	14	no	no	NOUN
cana-4458	146	15	.	.	PUNCT
cana-4458	147	1	9s	9s	NUM
cana-4458	147	2	(	(	PUNCT
cana-4458	147	3	2025	2025	NUM
cana-4458	147	4	)	)	PUNCT
cana-4458	147	5	2227	2227	NUM
cana-4458	147	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4458	147	7	figure	figure	NOUN
cana-4458	147	8	3	3	NUM
cana-4458	147	9	:	:	PUNCT
cana-4458	147	10	a	a	DET
cana-4458	147	11	comparison	comparison	NOUN
cana-4458	147	12	between	between	ADP
cana-4458	147	13	the	the	DET
cana-4458	147	14	actual	actual	ADJ
cana-4458	147	15	data	datum	NOUN
cana-4458	147	16	distribution	distribution	NOUN
cana-4458	147	17	represented	represent	VERB
cana-4458	147	18	by	by	ADP
cana-4458	147	19	(	(	PUNCT
cana-4458	147	20	*	*	NOUN
cana-4458	147	21	)	)	PUNCT
cana-4458	147	22	in	in	ADP
cana-4458	147	23	blue	blue	ADJ
cana-4458	147	24	colour	colour	NOUN
cana-4458	147	25	and	and	CCONJ
cana-4458	147	26	ggm	ggm	NOUN
cana-4458	147	27	represented	represent	VERB
cana-4458	147	28	by	by	ADP
cana-4458	147	29	a	a	DET
cana-4458	147	30	solid	solid	ADJ
cana-4458	147	31	red	red	ADJ
cana-4458	147	32	line	line	NOUN
cana-4458	147	33	.	.	PUNCT
cana-4458	148	1	results	result	NOUN
cana-4458	148	2	:	:	PUNCT
cana-4458	148	3	in	in	ADP
cana-4458	148	4	this	this	DET
cana-4458	148	5	study	study	NOUN
cana-4458	148	6	,	,	PUNCT
cana-4458	148	7	the	the	DET
cana-4458	148	8	transformed	transform	VERB
cana-4458	148	9	rainfall	rainfall	NOUN
cana-4458	148	10	data	datum	NOUN
cana-4458	148	11	(	(	PUNCT
cana-4458	148	12	𝑧	𝑧	X
cana-4458	148	13	)	)	PUNCT
cana-4458	148	14	has	have	AUX
cana-4458	148	15	been	be	AUX
cana-4458	148	16	successfully	successfully	ADV
cana-4458	148	17	modeled	model	VERB
cana-4458	148	18	using	use	VERB
cana-4458	148	19	the	the	DET
cana-4458	148	20	gaussian	gaussian	NOUN
cana-4458	148	21	and	and	CCONJ
cana-4458	148	22	gamma	gamma	NOUN
cana-4458	148	23	mixture	mixture	NOUN
cana-4458	148	24	model	model	NOUN
cana-4458	148	25	(	(	PUNCT
cana-4458	148	26	ggm	ggm	PROPN
cana-4458	148	27	)	)	PUNCT
cana-4458	148	28	,	,	PUNCT
cana-4458	148	29	with	with	SCONJ
cana-4458	148	30	the	the	DET
cana-4458	148	31	moments	moment	NOUN
cana-4458	148	32	of	of	ADP
cana-4458	148	33	the	the	DET
cana-4458	148	34	data	datum	NOUN
cana-4458	148	35	being	be	AUX
cana-4458	148	36	closely	closely	ADV
cana-4458	148	37	reproduced	reproduce	VERB
cana-4458	148	38	.	.	PUNCT
cana-4458	149	1	this	this	DET
cana-4458	149	2	modeling	modeling	NOUN
cana-4458	149	3	approach	approach	NOUN
cana-4458	149	4	enables	enable	VERB
cana-4458	149	5	a	a	DET
cana-4458	149	6	more	more	ADV
cana-4458	149	7	accurate	accurate	ADJ
cana-4458	149	8	representation	representation	NOUN
cana-4458	149	9	of	of	ADP
cana-4458	149	10	the	the	DET
cana-4458	149	11	statistical	statistical	ADJ
cana-4458	149	12	properties	property	NOUN
cana-4458	149	13	of	of	ADP
cana-4458	149	14	rainfall	rainfall	NOUN
cana-4458	149	15	data	datum	NOUN
cana-4458	149	16	.	.	PUNCT
cana-4458	150	1	as	as	SCONJ
cana-4458	150	2	𝑥	𝑥	PROPN
cana-4458	150	3	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-4458	150	4	𝑦	𝑦	NOUN
cana-4458	150	5	are	be	AUX
cana-4458	150	6	random	random	ADJ
cana-4458	150	7	variables	variable	NOUN
cana-4458	150	8	within	within	ADP
cana-4458	150	9	this	this	DET
cana-4458	150	10	model	model	NOUN
cana-4458	150	11	,	,	PUNCT
cana-4458	150	12	their	their	PRON
cana-4458	150	13	joint	joint	ADJ
cana-4458	150	14	probability	probability	NOUN
cana-4458	150	15	densities	density	NOUN
cana-4458	150	16	can	can	AUX
cana-4458	150	17	be	be	AUX
cana-4458	150	18	theoretically	theoretically	ADV
cana-4458	150	19	derived	derive	VERB
cana-4458	150	20	,	,	PUNCT
cana-4458	150	21	offering	offer	VERB
cana-4458	150	22	a	a	DET
cana-4458	150	23	detailed	detailed	ADJ
cana-4458	150	24	understanding	understanding	NOUN
cana-4458	150	25	of	of	ADP
cana-4458	150	26	the	the	DET
cana-4458	150	27	behavior	behavior	NOUN
cana-4458	150	28	and	and	CCONJ
cana-4458	150	29	characteristics	characteristic	NOUN
cana-4458	150	30	of	of	ADP
cana-4458	150	31	the	the	DET
cana-4458	150	32	data	datum	NOUN
cana-4458	150	33	.	.	PUNCT
cana-4458	151	1	the	the	DET
cana-4458	151	2	effort	effort	NOUN
cana-4458	151	3	to	to	PART
cana-4458	151	4	develop	develop	VERB
cana-4458	151	5	and	and	CCONJ
cana-4458	151	6	apply	apply	VERB
cana-4458	151	7	the	the	DET
cana-4458	151	8	gaussian	gaussian	NOUN
cana-4458	151	9	and	and	CCONJ
cana-4458	151	10	gamma	gamma	NOUN
cana-4458	151	11	mixture	mixture	NOUN
cana-4458	151	12	model	model	NOUN
cana-4458	151	13	is	be	AUX
cana-4458	151	14	further	far	ADV
cana-4458	151	15	justified	justify	VERB
cana-4458	151	16	if	if	SCONJ
cana-4458	151	17	it	it	PRON
cana-4458	151	18	shows	show	VERB
cana-4458	151	19	an	an	DET
cana-4458	151	20	improved	improved	ADJ
cana-4458	151	21	ability	ability	NOUN
cana-4458	151	22	to	to	PART
cana-4458	151	23	capture	capture	VERB
cana-4458	151	24	the	the	DET
cana-4458	151	25	level	level	NOUN
cana-4458	151	26	crossing	crossing	NOUN
cana-4458	151	27	statistics	statistic	NOUN
cana-4458	151	28	of	of	ADP
cana-4458	151	29	the	the	DET
cana-4458	151	30	transformed	transform	VERB
cana-4458	151	31	rainfall	rainfall	NOUN
cana-4458	151	32	data	datum	NOUN
cana-4458	151	33	(	(	PUNCT
cana-4458	151	34	𝑧	𝑧	NOUN
cana-4458	151	35	)	)	PUNCT
cana-4458	151	36	when	when	SCONJ
cana-4458	151	37	compared	compare	VERB
cana-4458	151	38	to	to	ADP
cana-4458	151	39	a	a	DET
cana-4458	151	40	simple	simple	ADJ
cana-4458	151	41	gaussian	gaussian	ADJ
cana-4458	151	42	model	model	NOUN
cana-4458	151	43	.	.	PUNCT
cana-4458	152	1	to	to	PART
cana-4458	152	2	evaluate	evaluate	VERB
cana-4458	152	3	this	this	PRON
cana-4458	152	4	,	,	PUNCT
cana-4458	152	5	the	the	DET
cana-4458	152	6	rainfall	rainfall	NOUN
cana-4458	152	7	process	process	NOUN
cana-4458	152	8	is	be	AUX
cana-4458	152	9	assumed	assume	VERB
cana-4458	152	10	to	to	PART
cana-4458	152	11	be	be	AUX
cana-4458	152	12	continuous	continuous	ADJ
cana-4458	152	13	.	.	PUNCT
cana-4458	153	1	the	the	DET
cana-4458	153	2	level	level	NOUN
cana-4458	153	3	crossing	crossing	NOUN
cana-4458	153	4	frequencies	frequency	NOUN
cana-4458	153	5	,	,	PUNCT
cana-4458	153	6	representing	represent	VERB
cana-4458	153	7	the	the	DET
cana-4458	153	8	number	number	NOUN
cana-4458	153	9	of	of	ADP
cana-4458	153	10	times	time	NOUN
cana-4458	153	11	the	the	DET
cana-4458	153	12	rainfall	rainfall	NOUN
cana-4458	153	13	data	datum	NOUN
cana-4458	153	14	crosses	cross	VERB
cana-4458	153	15	specific	specific	ADJ
cana-4458	153	16	thresholds	threshold	NOUN
cana-4458	153	17	,	,	PUNCT
cana-4458	153	18	are	be	AUX
cana-4458	153	19	calculated	calculate	VERB
cana-4458	153	20	for	for	ADP
cana-4458	153	21	upward	upward	ADJ
cana-4458	153	22	crossings	crossing	NOUN
cana-4458	153	23	at	at	ADP
cana-4458	153	24	two	two	NUM
cana-4458	153	25	critical	critical	ADJ
cana-4458	153	26	levels	level	NOUN
cana-4458	153	27	.	.	PUNCT
cana-4458	154	1	thresholds	threshold	NOUN
cana-4458	154	2	of	of	ADP
cana-4458	154	3	+10	+10	NOUN
cana-4458	154	4	%	%	NOUN
cana-4458	154	5	relative	relative	ADJ
cana-4458	154	6	to	to	ADP
cana-4458	154	7	the	the	DET
cana-4458	154	8	normal	normal	ADJ
cana-4458	154	9	value	value	NOUN
cana-4458	154	10	are	be	AUX
cana-4458	154	11	used	use	VERB
cana-4458	154	12	to	to	PART
cana-4458	154	13	identify	identify	VERB
cana-4458	154	14	stations	station	NOUN
cana-4458	154	15	experiencing	experience	VERB
cana-4458	154	16	above	above	ADP
cana-4458	154	17	-	-	PUNCT
cana-4458	154	18	normal	normal	ADJ
cana-4458	154	19	rainfall	rainfall	NOUN
cana-4458	154	20	(	(	PUNCT
cana-4458	154	21	positive	positive	ADJ
cana-4458	154	22	crossings	crossing	NOUN
cana-4458	154	23	)	)	PUNCT
cana-4458	154	24	.	.	PUNCT
cana-4458	155	1	similarly	similarly	ADV
cana-4458	155	2	,	,	PUNCT
cana-4458	155	3	thresholds	threshold	NOUN
cana-4458	155	4	of	of	ADP
cana-4458	155	5	+20	+20	NUM
cana-4458	155	6	%	%	NOUN
cana-4458	155	7	represent	represent	VERB
cana-4458	155	8	more	more	ADV
cana-4458	155	9	extreme	extreme	ADJ
cana-4458	155	10	conditions	condition	NOUN
cana-4458	155	11	,	,	PUNCT
cana-4458	155	12	with	with	ADP
cana-4458	155	13	positive	positive	ADJ
cana-4458	155	14	crossings	crossing	NOUN
cana-4458	155	15	signifying	signify	VERB
cana-4458	155	16	severe	severe	ADJ
cana-4458	155	17	rainfall	rainfall	NOUN
cana-4458	155	18	events	event	NOUN
cana-4458	155	19	and	and	CCONJ
cana-4458	155	20	negative	negative	ADJ
cana-4458	155	21	crossings	crossing	NOUN
cana-4458	155	22	indicating	indicate	VERB
cana-4458	155	23	severe	severe	ADJ
cana-4458	155	24	droughts	drought	NOUN
cana-4458	155	25	.	.	PUNCT
cana-4458	156	1	the	the	DET
cana-4458	156	2	crossing	crossing	NOUN
cana-4458	156	3	statistics	statistic	NOUN
cana-4458	156	4	for	for	ADP
cana-4458	156	5	these	these	DET
cana-4458	156	6	thresholds	threshold	NOUN
cana-4458	156	7	are	be	AUX
cana-4458	156	8	computed	compute	VERB
cana-4458	156	9	for	for	ADP
cana-4458	156	10	the	the	DET
cana-4458	156	11	transformed	transform	VERB
cana-4458	156	12	rainfall	rainfall	NOUN
cana-4458	156	13	data	datum	NOUN
cana-4458	156	14	(	(	PUNCT
cana-4458	156	15	𝑧	𝑧	X
cana-4458	156	16	)	)	PUNCT
cana-4458	156	17	using	use	VERB
cana-4458	156	18	both	both	CCONJ
cana-4458	156	19	the	the	DET
cana-4458	156	20	gaussian	gaussian	NOUN
cana-4458	156	21	and	and	CCONJ
cana-4458	156	22	gamma	gamma	NOUN
cana-4458	156	23	mixture	mixture	NOUN
cana-4458	156	24	model	model	NOUN
cana-4458	156	25	and	and	CCONJ
cana-4458	156	26	the	the	DET
cana-4458	156	27	simple	simple	ADJ
cana-4458	156	28	gaussian	gaussian	ADJ
cana-4458	156	29	model	model	NOUN
cana-4458	156	30	for	for	ADP
cana-4458	156	31	comparison	comparison	NOUN
cana-4458	156	32	.	.	PUNCT
cana-4458	157	1	this	this	DET
cana-4458	157	2	comprehensive	comprehensive	ADJ
cana-4458	157	3	analysis	analysis	NOUN
cana-4458	157	4	is	be	AUX
cana-4458	157	5	conducted	conduct	VERB
cana-4458	157	6	across	across	ADP
cana-4458	157	7	all	all	DET
cana-4458	157	8	regions	region	NOUN
cana-4458	157	9	and	and	CCONJ
cana-4458	157	10	subdivisions	subdivision	NOUN
cana-4458	157	11	considered	consider	VERB
cana-4458	157	12	in	in	ADP
cana-4458	157	13	this	this	DET
cana-4458	157	14	study	study	NOUN
cana-4458	157	15	to	to	PART
cana-4458	157	16	ensure	ensure	VERB
cana-4458	157	17	thorough	thorough	ADJ
cana-4458	157	18	evaluation	evaluation	NOUN
cana-4458	157	19	.	.	PUNCT
cana-4458	158	1	the	the	DET
cana-4458	158	2	expected	expect	VERB
cana-4458	158	3	rates	rate	NOUN
cana-4458	158	4	of	of	ADP
cana-4458	158	5	upward	upward	ADJ
cana-4458	158	6	and	and	CCONJ
cana-4458	158	7	downward	downward	ADJ
cana-4458	158	8	level	level	NOUN
cana-4458	158	9	crossings	crossing	NOUN
cana-4458	158	10	are	be	AUX
cana-4458	158	11	calculated	calculate	VERB
cana-4458	158	12	based	base	VERB
cana-4458	158	13	on	on	ADP
cana-4458	158	14	these	these	DET
cana-4458	158	15	thresholds	threshold	NOUN
cana-4458	158	16	,	,	PUNCT
cana-4458	158	17	offering	offer	VERB
cana-4458	158	18	a	a	DET
cana-4458	158	19	quantitative	quantitative	ADJ
cana-4458	158	20	measure	measure	NOUN
cana-4458	158	21	of	of	ADP
cana-4458	158	22	the	the	DET
cana-4458	158	23	models	model	NOUN
cana-4458	158	24	'	'	PART
cana-4458	158	25	capabilities	capability	NOUN
cana-4458	158	26	to	to	PART
cana-4458	158	27	capture	capture	VERB
cana-4458	158	28	the	the	DET
cana-4458	158	29	rainfall	rainfall	NOUN
cana-4458	158	30	data	data	PROPN
cana-4458	158	31	's	's	PART
cana-4458	158	32	behavior	behavior	NOUN
cana-4458	158	33	at	at	ADP
cana-4458	158	34	critical	critical	ADJ
cana-4458	158	35	thresholds	threshold	NOUN
cana-4458	158	36	.	.	PUNCT
cana-4458	159	1	these	these	DET
cana-4458	159	2	rates	rate	NOUN
cana-4458	159	3	provide	provide	VERB
cana-4458	159	4	valuable	valuable	ADJ
cana-4458	159	5	insights	insight	NOUN
cana-4458	159	6	into	into	ADP
cana-4458	159	7	the	the	DET
cana-4458	159	8	effectiveness	effectiveness	NOUN
cana-4458	159	9	of	of	ADP
cana-4458	159	10	the	the	DET
cana-4458	159	11	gaussian	gaussian	NOUN
cana-4458	159	12	and	and	CCONJ
cana-4458	159	13	gamma	gamma	NOUN
cana-4458	159	14	mixture	mixture	NOUN
cana-4458	159	15	model	model	NOUN
cana-4458	159	16	relative	relative	ADJ
cana-4458	159	17	to	to	ADP
cana-4458	159	18	the	the	DET
cana-4458	159	19	simpler	simple	ADJ
cana-4458	159	20	gaussian	gaussian	ADJ
cana-4458	159	21	model	model	NOUN
cana-4458	159	22	,	,	PUNCT
cana-4458	159	23	particularly	particularly	ADV
cana-4458	159	24	in	in	ADP
cana-4458	159	25	representing	represent	VERB
cana-4458	159	26	the	the	DET
cana-4458	159	27	data	datum	NOUN
cana-4458	159	28	's	's	PART
cana-4458	159	29	behavior	behavior	NOUN
cana-4458	159	30	under	under	ADP
cana-4458	159	31	extreme	extreme	ADJ
cana-4458	159	32	conditions	condition	NOUN
cana-4458	159	33	.	.	PUNCT
cana-4458	160	1	the	the	DET
cana-4458	160	2	level	level	NOUN
cana-4458	160	3	crossing	crossing	NOUN
cana-4458	160	4	rates	rate	NOUN
cana-4458	160	5	for	for	ADP
cana-4458	160	6	upward	upward	ADJ
cana-4458	160	7	and	and	CCONJ
cana-4458	160	8	downward	downward	ADJ
cana-4458	160	9	crossings	crossing	NOUN
cana-4458	160	10	are	be	AUX
cana-4458	160	11	expressed	express	VERB
cana-4458	160	12	using	use	VERB
cana-4458	160	13	the	the	DET
cana-4458	160	14	following	follow	VERB
cana-4458	160	15	equations	equation	NOUN
cana-4458	160	16	.	.	PUNCT
cana-4458	161	1	𝑁𝑢	𝑁𝑢	PRON
cana-4458	161	2	𝐺𝑢𝑎𝑠𝑠	𝐺𝑢𝑎𝑠𝑠	PROPN
cana-4458	161	3	=	=	SYM
cana-4458	161	4	∫	∫	PROPN
cana-4458	161	5	�	�	PROPN
cana-4458	161	6	̇	̇	PROPN
cana-4458	161	7	�	�	PROPN
cana-4458	161	8	𝑤	𝑤	ADP
cana-4458	161	9	2𝜎	2𝜎	PROPN
cana-4458	161	10	�	�	PROPN
cana-4458	161	11	̇	̇	PROPN
cana-4458	161	12	�	�	PROPN
cana-4458	161	13	√2𝜋	√2𝜋	PROPN
cana-4458	161	14	∞	∞	PROPN
cana-4458	161	15	0	0	NUM
cana-4458	161	16	𝑒	𝑒	PROPN
cana-4458	161	17	(	(	PUNCT
cana-4458	161	18	−	−	PROPN
cana-4458	161	19	(	(	PUNCT
cana-4458	161	20	𝑧−𝜇)2	𝑧−𝜇)2	PROPN
cana-4458	161	21	2𝜎2	2𝜎2	NUM
cana-4458	161	22	+	+	CCONJ
cana-4458	161	23	(	(	PUNCT
cana-4458	161	24	�	�	PROPN
cana-4458	161	25	̇	̇	PROPN
cana-4458	161	26	�	�	PROPN
cana-4458	161	27	−	−	PROPN
cana-4458	161	28	�	�	PROPN
cana-4458	161	29	̇	̇	PROPN
cana-4458	161	30	�	�	PROPN
cana-4458	161	31	)2	)2	PUNCT
cana-4458	161	32	2	2	NUM
cana-4458	161	33	�	�	PROPN
cana-4458	161	34	̇	̇	VERB
cana-4458	161	35	�	�	PROPN
cana-4458	161	36	2	2	NUM
cana-4458	161	37	)	)	PUNCT
cana-4458	161	38	------------------------(8	------------------------(8	NOUN
cana-4458	161	39	)	)	PUNCT
cana-4458	161	40	communications	communication	NOUN
cana-4458	161	41	on	on	ADP
cana-4458	161	42	applied	apply	VERB
cana-4458	161	43	nonlinear	nonlinear	ADJ
cana-4458	161	44	analysis	analysis	NOUN
cana-4458	161	45	issn	issn	NOUN
cana-4458	161	46	:	:	PUNCT
cana-4458	161	47	1074	1074	NUM
cana-4458	161	48	-	-	PUNCT
cana-4458	161	49	133x	133x	NUM
cana-4458	161	50	vol	vol	NOUN
cana-4458	161	51	32	32	NUM
cana-4458	161	52	no	no	NOUN
cana-4458	161	53	.	.	PUNCT
cana-4458	162	1	9s	9s	NUM
cana-4458	162	2	(	(	PUNCT
cana-4458	162	3	2025	2025	NUM
cana-4458	162	4	)	)	PUNCT
cana-4458	162	5	2228	2228	NUM
cana-4458	162	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4458	163	1	𝑁𝑢	𝑁𝑢	PROPN
cana-4458	163	2	𝐺𝑎𝑚𝑚𝑎	𝐺𝑎𝑚𝑚𝑎	PROPN
cana-4458	163	3	=	=	SYM
cana-4458	163	4	∫	∫	PROPN
cana-4458	163	5	�	�	PROPN
cana-4458	163	6	̇	̇	PROPN
cana-4458	163	7	�	�	PROPN
cana-4458	163	8	1−𝑤	1−𝑤	NUM
cana-4458	163	9	βα𝛽	βα𝛽	PROPN
cana-4458	163	10	�	�	PROPN
cana-4458	163	11	̇̇	̇̇	NOUN
cana-4458	163	12	�	�	PROPN
cana-4458	163	13	γ(α)γ̇(α)̇	γ(α)γ̇(α)̇	X
cana-4458	163	14	∞	∞	PROPN
cana-4458	163	15	0	0	NUM
cana-4458	163	16	𝑧𝛼−1	𝑧𝛼−1	PROPN
cana-4458	163	17	�	�	PROPN
cana-4458	163	18	̇	̇	PROPN
cana-4458	163	19	�	�	PROPN
cana-4458	163	20	�	�	PROPN
cana-4458	163	21	̇	̇	PROPN
cana-4458	163	22	�	�	PROPN
cana-4458	163	23	−1𝑒	−1𝑒	PROPN
cana-4458	163	24	−	−	NOUN
cana-4458	163	25	𝜇	𝜇	ADP
cana-4458	163	26	𝛽𝑒	𝛽𝑒	ADP
cana-4458	163	27	−	−	PRON
cana-4458	163	28	𝑧	𝑧	PRON
cana-4458	163	29	�	�	PROPN
cana-4458	163	30	̇	̇	NOUN
cana-4458	163	31	�	�	PROPN
cana-4458	163	32	̇	̇	VERB
cana-4458	163	33	------------------------(9	------------------------(9	NOUN
cana-4458	163	34	)	)	PUNCT
cana-4458	163	35	the	the	DET
cana-4458	163	36	total	total	ADJ
cana-4458	163	37	upward	upward	ADJ
cana-4458	163	38	level	level	NOUN
cana-4458	163	39	crossing	crossing	NOUN
cana-4458	163	40	rate	rate	NOUN
cana-4458	163	41	is	be	AUX
cana-4458	163	42	given	give	VERB
cana-4458	163	43	as	as	SCONJ
cana-4458	163	44	𝑁𝑢	𝑁𝑢	PROPN
cana-4458	163	45	=	=	SYM
cana-4458	163	46	𝑁𝑢	𝑁𝑢	PROPN
cana-4458	163	47	𝐺𝑢𝑎𝑠𝑠	𝐺𝑢𝑎𝑠𝑠	VERB
cana-4458	163	48	+	+	CCONJ
cana-4458	163	49	𝑁𝑢	𝑁𝑢	PROPN
cana-4458	163	50	𝐺𝑎𝑚𝑚𝑎	𝐺𝑎𝑚𝑚𝑎	PROPN
cana-4458	163	51	the	the	DET
cana-4458	163	52	upward	upward	ADJ
cana-4458	163	53	and	and	CCONJ
cana-4458	163	54	downward	downward	ADJ
cana-4458	163	55	level	level	NOUN
cana-4458	163	56	crossings	crossing	NOUN
cana-4458	163	57	for	for	ADP
cana-4458	163	58	a	a	DET
cana-4458	163	59	specific	specific	ADJ
cana-4458	163	60	threshold	threshold	NOUN
cana-4458	163	61	(	(	PUNCT
cana-4458	163	62	𝑎	𝑎	NOUN
cana-4458	163	63	)	)	PUNCT
cana-4458	163	64	is	be	AUX
cana-4458	163	65	defined	define	VERB
cana-4458	163	66	as	as	ADP
cana-4458	163	67	:	:	PUNCT
cana-4458	163	68	𝑁+(𝑎	𝑁+(𝑎	ADJ
cana-4458	163	69	)	)	PUNCT
cana-4458	163	70	=	=	SYM
cana-4458	164	1	∫	∫	PROPN
cana-4458	164	2	�	�	PROPN
cana-4458	164	3	̇	̇	PROPN
cana-4458	164	4	�	�	PROPN
cana-4458	164	5	𝑝(𝑎	𝑝(𝑎	PROPN
cana-4458	164	6	,	,	PUNCT
cana-4458	164	7	�	�	PROPN
cana-4458	164	8	̇	̇	PROPN
cana-4458	164	9	�	�	PROPN
cana-4458	164	10	)	)	PUNCT
cana-4458	164	11	𝑑	𝑑	PROPN
cana-4458	164	12	�	�	PROPN
cana-4458	164	13	̇	̇	NOUN
cana-4458	164	14	�	�	PROPN
cana-4458	164	15	∞	∞	PROPN
cana-4458	164	16	0	0	NUM
cana-4458	164	17	------------------------(10	------------------------(10	VERB
cana-4458	164	18	)	)	PUNCT
cana-4458	165	1	to	to	PART
cana-4458	165	2	evaluate	evaluate	VERB
cana-4458	165	3	the	the	DET
cana-4458	165	4	integrals	integral	NOUN
cana-4458	165	5	in	in	ADP
cana-4458	165	6	equations	equation	NOUN
cana-4458	165	7	(	(	PUNCT
cana-4458	165	8	9	9	NUM
cana-4458	165	9	)	)	PUNCT
cana-4458	165	10	,	,	PUNCT
cana-4458	165	11	the	the	DET
cana-4458	165	12	joint	joint	ADJ
cana-4458	165	13	density	density	NOUN
cana-4458	165	14	function	function	NOUN
cana-4458	165	15	𝑝(𝑎	𝑝(𝑎	PROPN
cana-4458	165	16	,	,	PUNCT
cana-4458	165	17	�	�	PROPN
cana-4458	165	18	̇	̇	PROPN
cana-4458	165	19	�	�	PROPN
cana-4458	165	20	)	)	PUNCT
cana-4458	165	21	is	be	AUX
cana-4458	165	22	required	require	VERB
cana-4458	165	23	.	.	PUNCT
cana-4458	166	1	the	the	DET
cana-4458	166	2	steps	step	NOUN
cana-4458	166	3	for	for	ADP
cana-4458	166	4	deriving	derive	VERB
cana-4458	166	5	𝑝(𝑎	𝑝(𝑎	PROPN
cana-4458	166	6	,	,	PUNCT
cana-4458	166	7	�	�	PROPN
cana-4458	166	8	̇	̇	PROPN
cana-4458	166	9	�	�	PROPN
cana-4458	166	10	)	)	PUNCT
cana-4458	166	11	is	be	AUX
cana-4458	166	12	as	as	SCONJ
cana-4458	166	13	follows	follow	VERB
cana-4458	166	14	,	,	PUNCT
cana-4458	166	15	z	z	NOUN
cana-4458	166	16	=	=	SYM
cana-4458	166	17	wx	wx	PROPN
cana-4458	167	1	+	+	CCONJ
cana-4458	167	2	(	(	PUNCT
cana-4458	167	3	1	1	NUM
cana-4458	167	4	−	−	NOUN
cana-4458	167	5	w)y	w)y	ADV
cana-4458	167	6	,	,	PUNCT
cana-4458	167	7	then	then	ADV
cana-4458	167	8	the	the	DET
cana-4458	167	9	derivatives	derivative	NOUN
cana-4458	167	10	is	be	AUX
cana-4458	167	11	given	give	VERB
cana-4458	167	12	byż	byż	PROPN
cana-4458	167	13	=	=	PUNCT
cana-4458	167	14	wẋ	wẋ	PROPN
cana-4458	168	1	+	+	CCONJ
cana-4458	168	2	(	(	PUNCT
cana-4458	168	3	1	1	NUM
cana-4458	168	4	−	−	NOUN
cana-4458	168	5	w)ẏ.	w)ẏ.	NOUN
cana-4458	168	6	the	the	DET
cana-4458	168	7	conditional	conditional	ADJ
cana-4458	168	8	mean	mean	NOUN
cana-4458	168	9	and	and	CCONJ
cana-4458	168	10	variance	variance	NOUN
cana-4458	168	11	of	of	ADP
cana-4458	168	12	ż	ż	NOUN
cana-4458	168	13	,	,	PUNCT
cana-4458	168	14	given	give	VERB
cana-4458	168	15	w	w	NOUN
cana-4458	168	16	are	be	AUX
cana-4458	168	17	derived	derive	VERB
cana-4458	168	18	as	as	ADP
cana-4458	168	19	below	below	ADV
cana-4458	168	20	.	.	PUNCT
cana-4458	169	1	𝜇	𝜇	ADP
cana-4458	169	2	�	�	PROPN
cana-4458	169	3	̇	̇	VERB
cana-4458	169	4	�	�	PROPN
cana-4458	169	5	|𝑤	|𝑤	PART
cana-4458	169	6	=	=	NOUN
cana-4458	169	7	𝑤𝜇𝑖	𝑤𝜇𝑖	NOUN
cana-4458	169	8	+	+	CCONJ
cana-4458	169	9	(	(	PUNCT
cana-4458	169	10	1	1	NUM
cana-4458	169	11	−	−	NOUN
cana-4458	169	12	𝑤	𝑤	X
cana-4458	169	13	)	)	PUNCT
cana-4458	169	14	𝛼	𝛼	PROPN
cana-4458	169	15	�	�	PROPN
cana-4458	169	16	̇	̇	VERB
cana-4458	169	17	�	�	PROPN
cana-4458	169	18	𝛽	𝛽	PROPN
cana-4458	169	19	�	�	PROPN
cana-4458	169	20	̇	̇	VERB
cana-4458	169	21	�	�	PROPN
cana-4458	169	22	and	and	CCONJ
cana-4458	169	23	𝜎	𝜎	PROPN
cana-4458	169	24	�	�	PROPN
cana-4458	169	25	̇	̇	PROPN
cana-4458	169	26	�	�	PROPN
cana-4458	169	27	|𝑤	|𝑤	PRON
cana-4458	169	28	2	2	NUM
cana-4458	169	29	=	=	SYM
cana-4458	169	30	𝑤2𝜎	𝑤2𝜎	NOUN
cana-4458	169	31	�	�	NOUN
cana-4458	169	32	̇	̇	NOUN
cana-4458	169	33	�	�	PROPN
cana-4458	169	34	2	2	NUM
cana-4458	169	35	+	+	CCONJ
cana-4458	169	36	(	(	PUNCT
cana-4458	169	37	1	1	NUM
cana-4458	169	38	−	−	PROPN
cana-4458	169	39	𝑤)2(𝛼	𝑤)2(𝛼	NOUN
cana-4458	169	40	�	�	PROPN
cana-4458	169	41	̇	̇	PROPN
cana-4458	169	42	�	�	PROPN
cana-4458	169	43	𝛽	𝛽	PROPN
cana-4458	169	44	�	�	PROPN
cana-4458	169	45	̇	̇	VERB
cana-4458	169	46	�	�	PROPN
cana-4458	169	47	2	2	NUM
cana-4458	169	48	)	)	PUNCT
cana-4458	169	49	the	the	DET
cana-4458	169	50	parameters	parameter	NOUN
cana-4458	169	51	μż	μż	PROPN
cana-4458	169	52	,	,	PUNCT
cana-4458	169	53	σż	σż	PROPN
cana-4458	169	54	,	,	PUNCT
cana-4458	169	55	αż	αż	NUM
cana-4458	169	56	and	and	CCONJ
cana-4458	169	57	βż	βż	PROPN
cana-4458	169	58	are	be	AUX
cana-4458	169	59	estimated	estimate	VERB
cana-4458	169	60	using	use	VERB
cana-4458	169	61	maximum	maximum	ADJ
cana-4458	169	62	likelihood	likelihood	NOUN
cana-4458	169	63	estimation	estimation	NOUN
cana-4458	169	64	(	(	PUNCT
cana-4458	169	65	mle	mle	NOUN
cana-4458	169	66	)	)	PUNCT
cana-4458	169	67	method	method	NOUN
cana-4458	169	68	.	.	PUNCT
cana-4458	170	1	the	the	DET
cana-4458	170	2	computed	compute	VERB
cana-4458	170	3	values	value	NOUN
cana-4458	170	4	of	of	ADP
cana-4458	170	5	these	these	DET
cana-4458	170	6	parameters	parameter	NOUN
cana-4458	170	7	are	be	AUX
cana-4458	170	8	presented	present	VERB
cana-4458	170	9	in	in	ADP
cana-4458	170	10	table	table	NOUN
cana-4458	170	11	6	6	NUM
cana-4458	170	12	.	.	PUNCT
cana-4458	170	13	table	table	NOUN
cana-4458	170	14	6	6	NUM
cana-4458	170	15	:	:	PUNCT
cana-4458	170	16	the	the	DET
cana-4458	170	17	parameter	parameter	NOUN
cana-4458	170	18	values	value	NOUN
cana-4458	170	19	of	of	ADP
cana-4458	170	20	a	a	DET
cana-4458	170	21	derivative	derivative	ADJ
cana-4458	170	22	�	�	NOUN
cana-4458	170	23	̇	̇	NOUN
cana-4458	170	24	�	�	PROPN
cana-4458	170	25	of	of	ADP
cana-4458	170	26	the	the	DET
cana-4458	170	27	process	process	NOUN
cana-4458	170	28	𝒛	𝒛	NOUN
cana-4458	170	29	region	region	NOUN
cana-4458	170	30	𝝁	𝝁	NUM
cana-4458	170	31	�	�	PROPN
cana-4458	170	32	̇	̇	VERB
cana-4458	170	33	�	�	PROPN
cana-4458	170	34	𝝈	𝝈	SYM
cana-4458	170	35	�	�	PROPN
cana-4458	170	36	̇	̇	VERB
cana-4458	170	37	�	�	PROPN
cana-4458	170	38	𝜶	𝜶	NUM
cana-4458	170	39	�	�	NOUN
cana-4458	170	40	̇	̇	VERB
cana-4458	170	41	�	�	PROPN
cana-4458	170	42	𝜷	𝜷	SYM
cana-4458	170	43	�	�	PROPN
cana-4458	170	44	̇	̇	NOUN
cana-4458	170	45	�	�	PROPN
cana-4458	170	46	dakshina	dakshina	PROPN
cana-4458	170	47	kannada	kannada	PROPN
cana-4458	170	48	-0.12	-0.12	NUM
cana-4458	170	49	0.02	0.02	NUM
cana-4458	170	50	66.99	66.99	NUM
cana-4458	170	51	-0.01	-0.01	NUM
cana-4458	170	52	udupi	udupi	NOUN
cana-4458	170	53	-0.12	-0.12	NUM
cana-4458	170	54	0.01	0.01	NUM
cana-4458	170	55	277.05	277.05	NUM
cana-4458	170	56	-0.01	-0.01	NUM
cana-4458	170	57	uttara	uttara	PROPN
cana-4458	170	58	kannada	kannada	PROPN
cana-4458	170	59	-0.08	-0.08	NUM
cana-4458	170	60	0.01	0.01	NUM
cana-4458	170	61	180.87	180.87	NUM
cana-4458	170	62	-0.02	-0.02	NUM
cana-4458	170	63	chikkamagalur	chikkamagalur	NOUN
cana-4458	170	64	-0.13	-0.13	NUM
cana-4458	170	65	0.02	0.02	NUM
cana-4458	170	66	94.87	94.87	NUM
cana-4458	170	67	-0.01	-0.01	NUM
cana-4458	170	68	kodagu	kodagu	NOUN
cana-4458	170	69	-0.15	-0.15	NUM
cana-4458	170	70	0.02	0.02	NUM
cana-4458	170	71	83.50	83.50	NUM
cana-4458	170	72	-0.01	-0.01	NUM
cana-4458	170	73	shivamoga	shivamoga	PROPN
cana-4458	170	74	-0.17	-0.17	ADJ
cana-4458	170	75	0.02	0.02	NUM
cana-4458	170	76	64.29	64.29	NUM
cana-4458	170	77	-0.01	-0.01	NUM
cana-4458	170	78	the	the	DET
cana-4458	170	79	unconditional	unconditional	ADJ
cana-4458	170	80	joint	joint	ADJ
cana-4458	170	81	density	density	NOUN
cana-4458	170	82	of	of	ADP
cana-4458	170	83	(	(	PUNCT
cana-4458	170	84	z	z	NOUN
cana-4458	170	85	,	,	PUNCT
cana-4458	170	86	ż	ż	NOUN
cana-4458	170	87	)	)	PUNCT
cana-4458	170	88	,	,	PUNCT
cana-4458	170	89	essential	essential	ADJ
cana-4458	170	90	for	for	ADP
cana-4458	170	91	calculating	calculate	VERB
cana-4458	170	92	level	level	NOUN
cana-4458	170	93	crossing	crossing	NOUN
cana-4458	170	94	statistics	statistic	NOUN
cana-4458	170	95	,	,	PUNCT
cana-4458	170	96	is	be	AUX
cana-4458	170	97	expressed	express	VERB
cana-4458	170	98	as	as	SCONJ
cana-4458	170	99	follows	follow	VERB
cana-4458	170	100	:	:	PUNCT
cana-4458	170	101	𝑝(𝑧	𝑝(𝑧	PROPN
cana-4458	170	102	,	,	PUNCT
cana-4458	170	103	�	�	PROPN
cana-4458	170	104	̇	̇	PROPN
cana-4458	170	105	�	�	PROPN
cana-4458	170	106	)	)	PUNCT
cana-4458	170	107	=	=	PUNCT
cana-4458	170	108	𝑤	𝑤	ADP
cana-4458	170	109	2𝜎𝜎√2𝜋̇	2𝜎𝜎√2𝜋̇	NUM
cana-4458	170	110	𝑒	𝑒	PROPN
cana-4458	170	111	(	(	PUNCT
cana-4458	170	112	−	−	PROPN
cana-4458	170	113	(	(	PUNCT
cana-4458	170	114	𝑧−𝜇)2	𝑧−𝜇)2	PROPN
cana-4458	170	115	2𝜎2	2𝜎2	NUM
cana-4458	170	116	+	+	CCONJ
cana-4458	170	117	(	(	PUNCT
cana-4458	170	118	�	�	PROPN
cana-4458	170	119	̇	̇	PROPN
cana-4458	170	120	�	�	PROPN
cana-4458	170	121	−	−	PROPN
cana-4458	170	122	�	�	PROPN
cana-4458	170	123	̇	̇	PROPN
cana-4458	170	124	�	�	PROPN
cana-4458	170	125	)2	)2	PUNCT
cana-4458	170	126	2	2	NUM
cana-4458	170	127	�	�	PROPN
cana-4458	170	128	̇	̇	VERB
cana-4458	170	129	�	�	NOUN
cana-4458	170	130	2	2	NUM
cana-4458	170	131	)	)	PUNCT
cana-4458	171	1	+	+	CCONJ
cana-4458	171	2	1−𝑤	1−𝑤	NUM
cana-4458	171	3	βα𝛽	βα𝛽	PROPN
cana-4458	171	4	�	�	PROPN
cana-4458	171	5	̇̇	̇̇	NOUN
cana-4458	171	6	�	�	PROPN
cana-4458	171	7	γ(α)γ̇(α)̇	γ(α)γ̇(α)̇	X
cana-4458	171	8	𝑧𝛼−1	𝑧𝛼−1	PROPN
cana-4458	171	9	�	�	PROPN
cana-4458	171	10	̇	̇	PROPN
cana-4458	171	11	�	�	PROPN
cana-4458	171	12	�	�	PROPN
cana-4458	171	13	̇	̇	PROPN
cana-4458	171	14	�	�	PROPN
cana-4458	171	15	−1𝑒	−1𝑒	PROPN
cana-4458	171	16	−	−	NOUN
cana-4458	171	17	𝜇	𝜇	ADP
cana-4458	171	18	𝛽𝑒	𝛽𝑒	ADP
cana-4458	171	19	−	−	PRON
cana-4458	171	20	𝑧	𝑧	PRON
cana-4458	171	21	�	�	PROPN
cana-4458	171	22	̇	̇	PROPN
cana-4458	171	23	�	�	PROPN
cana-4458	171	24	̇	̇	VERB
cana-4458	171	25	---------------------(11	---------------------(11	PROPN
cana-4458	171	26	)	)	PUNCT
cana-4458	171	27	at	at	ADP
cana-4458	171	28	a	a	DET
cana-4458	171	29	given	give	VERB
cana-4458	171	30	level	level	NOUN
cana-4458	171	31	a	a	PRON
cana-4458	171	32	,	,	PUNCT
cana-4458	171	33	the	the	DET
cana-4458	171	34	joint	joint	ADJ
cana-4458	171	35	probability	probability	NOUN
cana-4458	171	36	p(z	p(z	NOUN
cana-4458	171	37	,	,	PUNCT
cana-4458	171	38	ż	ż	NOUN
cana-4458	171	39	)	)	PUNCT
cana-4458	171	40	,	,	PUNCT
cana-4458	171	41	required	require	VERB
cana-4458	171	42	for	for	ADP
cana-4458	171	43	determining	determine	VERB
cana-4458	171	44	level	level	NOUN
cana-4458	171	45	crossing	crossing	NOUN
cana-4458	171	46	statistics	statistic	NOUN
cana-4458	171	47	,	,	PUNCT
cana-4458	171	48	is	be	AUX
cana-4458	171	49	derived	derive	VERB
cana-4458	171	50	.	.	PUNCT
cana-4458	172	1	level	level	NOUN
cana-4458	172	2	crossings	crossing	NOUN
cana-4458	172	3	represent	represent	VERB
cana-4458	172	4	the	the	DET
cana-4458	172	5	total	total	ADJ
cana-4458	172	6	number	number	NOUN
cana-4458	172	7	of	of	ADP
cana-4458	172	8	instances	instance	NOUN
cana-4458	172	9	where	where	SCONJ
cana-4458	172	10	the	the	DET
cana-4458	172	11	process	process	NOUN
cana-4458	172	12	(	(	PUNCT
cana-4458	172	13	z	z	NOUN
cana-4458	172	14	)	)	PUNCT
cana-4458	172	15	transitions	transition	NOUN
cana-4458	172	16	across	across	ADP
cana-4458	172	17	a	a	DET
cana-4458	172	18	specified	specified	ADJ
cana-4458	172	19	threshold	threshold	NOUN
cana-4458	172	20	(	(	PUNCT
cana-4458	172	21	a	a	NOUN
cana-4458	172	22	)	)	PUNCT
cana-4458	172	23	.	.	PUNCT
cana-4458	173	1	these	these	DET
cana-4458	173	2	crossings	crossing	NOUN
cana-4458	173	3	are	be	AUX
cana-4458	173	4	computed	compute	VERB
cana-4458	173	5	using	use	VERB
cana-4458	173	6	the	the	DET
cana-4458	173	7	joint	joint	ADJ
cana-4458	173	8	probability	probability	NOUN
cana-4458	173	9	density	density	NOUN
cana-4458	173	10	p(z	p(z	NOUN
cana-4458	173	11	,	,	PUNCT
cana-4458	173	12	ż	ż	NOUN
cana-4458	173	13	)	)	PUNCT
cana-4458	173	14	.	.	PUNCT
cana-4458	174	1	they	they	PRON
cana-4458	174	2	are	be	AUX
cana-4458	174	3	critical	critical	ADJ
cana-4458	174	4	for	for	ADP
cana-4458	174	5	analyzing	analyze	VERB
cana-4458	174	6	events	event	NOUN
cana-4458	174	7	like	like	ADP
cana-4458	174	8	rainfall	rainfall	NOUN
cana-4458	174	9	exceeding	exceed	VERB
cana-4458	174	10	normal	normal	ADJ
cana-4458	174	11	or	or	CCONJ
cana-4458	174	12	critical	critical	ADJ
cana-4458	174	13	values	value	NOUN
cana-4458	174	14	(	(	PUNCT
cana-4458	174	15	positive	positive	ADJ
cana-4458	174	16	crossings	crossing	NOUN
cana-4458	174	17	)	)	PUNCT
cana-4458	174	18	.	.	PUNCT
cana-4458	175	1	by	by	ADP
cana-4458	175	2	substituting	substitute	VERB
cana-4458	175	3	equation	equation	NOUN
cana-4458	175	4	(	(	PUNCT
cana-4458	175	5	10	10	NUM
cana-4458	175	6	)	)	PUNCT
cana-4458	175	7	into	into	ADP
cana-4458	175	8	equations	equation	NOUN
cana-4458	175	9	(	(	PUNCT
cana-4458	175	10	11	11	NUM
cana-4458	175	11	)	)	PUNCT
cana-4458	175	12	,	,	PUNCT
cana-4458	175	13	the	the	DET
cana-4458	175	14	crossing	crossing	NOUN
cana-4458	175	15	statistics	statistic	NOUN
cana-4458	175	16	are	be	AUX
cana-4458	175	17	calculated	calculate	VERB
cana-4458	175	18	and	and	CCONJ
cana-4458	175	19	summarized	summarize	VERB
cana-4458	175	20	in	in	ADP
cana-4458	175	21	table	table	NOUN
cana-4458	175	22	7	7	NUM
cana-4458	175	23	.	.	PUNCT
cana-4458	176	1	communications	communication	NOUN
cana-4458	176	2	on	on	ADP
cana-4458	176	3	applied	apply	VERB
cana-4458	176	4	nonlinear	nonlinear	ADJ
cana-4458	176	5	analysis	analysis	NOUN
cana-4458	176	6	issn	issn	NOUN
cana-4458	176	7	:	:	PUNCT
cana-4458	176	8	1074	1074	NUM
cana-4458	176	9	-	-	PUNCT
cana-4458	176	10	133x	133x	NUM
cana-4458	176	11	vol	vol	NOUN
cana-4458	176	12	32	32	NUM
cana-4458	176	13	no	no	NOUN
cana-4458	176	14	.	.	PUNCT
cana-4458	177	1	9s	9s	NUM
cana-4458	177	2	(	(	PUNCT
cana-4458	177	3	2025	2025	NUM
cana-4458	177	4	)	)	PUNCT
cana-4458	177	5	2229	2229	NUM
cana-4458	177	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4458	178	1	this	this	DET
cana-4458	178	2	analysis	analysis	NOUN
cana-4458	178	3	provides	provide	VERB
cana-4458	178	4	a	a	DET
cana-4458	178	5	quantitative	quantitative	ADJ
cana-4458	178	6	understanding	understanding	NOUN
cana-4458	178	7	of	of	ADP
cana-4458	178	8	the	the	DET
cana-4458	178	9	frequency	frequency	NOUN
cana-4458	178	10	and	and	CCONJ
cana-4458	178	11	severity	severity	NOUN
cana-4458	178	12	of	of	ADP
cana-4458	178	13	these	these	DET
cana-4458	178	14	events	event	NOUN
cana-4458	178	15	,	,	PUNCT
cana-4458	178	16	offering	offer	VERB
cana-4458	178	17	insights	insight	NOUN
cana-4458	178	18	into	into	ADP
cana-4458	178	19	the	the	DET
cana-4458	178	20	behavior	behavior	NOUN
cana-4458	178	21	of	of	ADP
cana-4458	178	22	the	the	DET
cana-4458	178	23	rainfall	rainfall	NOUN
cana-4458	178	24	process	process	NOUN
cana-4458	178	25	across	across	ADP
cana-4458	178	26	critical	critical	ADJ
cana-4458	178	27	thresholds	threshold	NOUN
cana-4458	178	28	.	.	PUNCT
cana-4458	179	1	table	table	NOUN
cana-4458	179	2	7	7	NUM
cana-4458	179	3	:	:	PUNCT
cana-4458	179	4	number	number	NOUN
cana-4458	179	5	of	of	ADP
cana-4458	179	6	upward	upward	ADJ
cana-4458	179	7	level	level	NOUN
cana-4458	179	8	crossings	crossing	NOUN
cana-4458	179	9	region	region	NOUN
cana-4458	179	10	10	10	NUM
cana-4458	179	11	%	%	NOUN
cana-4458	179	12	above	above	ADP
cana-4458	179	13	20	20	NUM
cana-4458	179	14	%	%	NOUN
cana-4458	179	15	above	above	ADP
cana-4458	179	16	observed	observed	ADJ
cana-4458	179	17	gaussian	gaussian	NOUN
cana-4458	179	18	and	and	CCONJ
cana-4458	179	19	gamma	gamma	PROPN
cana-4458	179	20	gaussian	gaussian	NOUN
cana-4458	179	21	observed	observe	VERB
cana-4458	179	22	gaussian	gaussian	NOUN
cana-4458	179	23	and	and	CCONJ
cana-4458	179	24	gamma	gamma	PROPN
cana-4458	179	25	gaussian	gaussian	PROPN
cana-4458	179	26	dakshina	dakshina	NOUN
cana-4458	179	27	kannada	kannada	PROPN
cana-4458	179	28	15	15	NUM
cana-4458	179	29	15	15	NUM
cana-4458	179	30	8	8	NUM
cana-4458	179	31	7	7	NUM
cana-4458	179	32	6	6	NUM
cana-4458	179	33	2	2	NUM
cana-4458	179	34	udupi	udupi	NOUN
cana-4458	179	35	19	19	NUM
cana-4458	179	36	21	21	NUM
cana-4458	179	37	7	7	NUM
cana-4458	179	38	5	5	NUM
cana-4458	179	39	7	7	NUM
cana-4458	179	40	2	2	NUM
cana-4458	179	41	uttara	uttara	NOUN
cana-4458	179	42	kannada	kannada	PROPN
cana-4458	179	43	12	12	NUM
cana-4458	179	44	12	12	NUM
cana-4458	179	45	10	10	NUM
cana-4458	179	46	3	3	NUM
cana-4458	179	47	3	3	NUM
cana-4458	179	48	2	2	NUM
cana-4458	179	49	chikkamagalur	chikkamagalur	NOUN
cana-4458	179	50	13	13	NUM
cana-4458	179	51	13	13	NUM
cana-4458	179	52	8	8	NUM
cana-4458	179	53	8	8	NUM
cana-4458	179	54	7	7	NUM
cana-4458	179	55	2	2	NUM
cana-4458	180	1	kodagu	kodagu	NOUN
cana-4458	181	1	14	14	NUM
cana-4458	181	2	13	13	NUM
cana-4458	181	3	3	3	NUM
cana-4458	181	4	10	10	NUM
cana-4458	181	5	8	8	NUM
cana-4458	181	6	3	3	NUM
cana-4458	181	7	shivamoga	shivamoga	NOUN
cana-4458	181	8	20	20	NUM
cana-4458	181	9	18	18	NUM
cana-4458	181	10	7	7	NUM
cana-4458	181	11	11	11	NUM
cana-4458	181	12	9	9	NUM
cana-4458	181	13	2	2	NUM
cana-4458	181	14	discussion	discussion	NOUN
cana-4458	181	15	the	the	DET
cana-4458	181	16	statistical	statistical	ADJ
cana-4458	181	17	analysis	analysis	NOUN
cana-4458	181	18	of	of	ADP
cana-4458	181	19	rainfall	rainfall	NOUN
cana-4458	181	20	data	datum	NOUN
cana-4458	181	21	from	from	ADP
cana-4458	181	22	the	the	DET
cana-4458	181	23	flood	flood	NOUN
cana-4458	181	24	-	-	PUNCT
cana-4458	181	25	prone	prone	ADJ
cana-4458	181	26	regions	region	NOUN
cana-4458	181	27	of	of	ADP
cana-4458	181	28	dakshina	dakshina	PROPN
cana-4458	181	29	kannada	kannada	PROPN
cana-4458	181	30	,	,	PUNCT
cana-4458	181	31	udupi	udupi	PROPN
cana-4458	181	32	,	,	PUNCT
cana-4458	181	33	uttara	uttara	PROPN
cana-4458	181	34	kannada	kannada	PROPN
cana-4458	181	35	,	,	PUNCT
cana-4458	181	36	kodagu	kodagu	PROPN
cana-4458	181	37	,	,	PUNCT
cana-4458	181	38	chikkamagalur	chikkamagalur	NOUN
cana-4458	181	39	,	,	PUNCT
cana-4458	181	40	and	and	CCONJ
cana-4458	181	41	shivamogga	shivamogga	NOUN
cana-4458	181	42	revealed	reveal	VERB
cana-4458	181	43	significant	significant	ADJ
cana-4458	181	44	variations	variation	NOUN
cana-4458	181	45	in	in	ADP
cana-4458	181	46	rainfall	rainfall	NOUN
cana-4458	181	47	patterns	pattern	NOUN
cana-4458	181	48	.	.	PUNCT
cana-4458	182	1	descriptive	descriptive	ADJ
cana-4458	182	2	statistics	statistic	NOUN
cana-4458	182	3	,	,	PUNCT
cana-4458	182	4	including	include	VERB
cana-4458	182	5	long	long	ADJ
cana-4458	182	6	term	term	NOUN
cana-4458	182	7	average	average	NOUN
cana-4458	182	8	(	(	PUNCT
cana-4458	182	9	lta	lta	PROPN
cana-4458	182	10	)	)	PUNCT
cana-4458	182	11	,	,	PUNCT
cana-4458	182	12	long	long	ADJ
cana-4458	182	13	term	term	NOUN
cana-4458	182	14	deviation	deviation	NOUN
cana-4458	182	15	(	(	PUNCT
cana-4458	182	16	ltd	ltd	NOUN
cana-4458	182	17	)	)	PUNCT
cana-4458	182	18	,	,	PUNCT
cana-4458	182	19	skewness	skewness	NOUN
cana-4458	182	20	,	,	PUNCT
cana-4458	182	21	and	and	CCONJ
cana-4458	182	22	kurtosis	kurtosis	NOUN
cana-4458	182	23	,	,	PUNCT
cana-4458	182	24	indicated	indicate	VERB
cana-4458	182	25	that	that	SCONJ
cana-4458	182	26	the	the	DET
cana-4458	182	27	rainfall	rainfall	NOUN
cana-4458	182	28	distribution	distribution	NOUN
cana-4458	182	29	deviates	deviate	VERB
cana-4458	182	30	from	from	ADP
cana-4458	182	31	a	a	DET
cana-4458	182	32	gaussian	gaussian	ADJ
cana-4458	182	33	pattern	pattern	NOUN
cana-4458	182	34	.	.	PUNCT
cana-4458	183	1	the	the	DET
cana-4458	183	2	data	datum	NOUN
cana-4458	183	3	displayed	display	VERB
cana-4458	183	4	a	a	DET
cana-4458	183	5	bimodal	bimodal	NOUN
cana-4458	183	6	structure	structure	NOUN
cana-4458	183	7	in	in	ADP
cana-4458	183	8	several	several	ADJ
cana-4458	183	9	regions	region	NOUN
cana-4458	183	10	,	,	PUNCT
cana-4458	183	11	highlighting	highlight	VERB
cana-4458	183	12	the	the	DET
cana-4458	183	13	need	need	NOUN
cana-4458	183	14	for	for	ADP
cana-4458	183	15	advanced	advanced	ADJ
cana-4458	183	16	modeling	modeling	NOUN
cana-4458	183	17	techniques	technique	NOUN
cana-4458	183	18	,	,	PUNCT
cana-4458	183	19	as	as	SCONJ
cana-4458	183	20	visualized	visualize	VERB
cana-4458	183	21	in	in	ADP
cana-4458	183	22	the	the	DET
cana-4458	183	23	histogram	histogram	NOUN
cana-4458	183	24	plots	plot	NOUN
cana-4458	183	25	(	(	PUNCT
cana-4458	183	26	figure	figure	NOUN
cana-4458	183	27	3	3	NUM
cana-4458	183	28	)	)	PUNCT
cana-4458	183	29	.	.	PUNCT
cana-4458	184	1	this	this	DET
cana-4458	184	2	deviation	deviation	NOUN
cana-4458	184	3	underscores	underscore	VERB
cana-4458	184	4	the	the	DET
cana-4458	184	5	complexity	complexity	NOUN
cana-4458	184	6	of	of	ADP
cana-4458	184	7	rainfall	rainfall	NOUN
cana-4458	184	8	behavior	behavior	NOUN
cana-4458	184	9	in	in	ADP
cana-4458	184	10	these	these	DET
cana-4458	184	11	regions	region	NOUN
cana-4458	184	12	,	,	PUNCT
cana-4458	184	13	influenced	influence	VERB
cana-4458	184	14	by	by	ADP
cana-4458	184	15	diverse	diverse	ADJ
cana-4458	184	16	topographical	topographical	ADJ
cana-4458	184	17	and	and	CCONJ
cana-4458	184	18	climatic	climatic	ADJ
cana-4458	184	19	factors	factor	NOUN
cana-4458	184	20	.	.	PUNCT
cana-4458	185	1	the	the	DET
cana-4458	185	2	gaussian	gaussian	NOUN
cana-4458	185	3	and	and	CCONJ
cana-4458	185	4	gamma	gamma	NOUN
cana-4458	185	5	mixture	mixture	NOUN
cana-4458	185	6	model	model	NOUN
cana-4458	185	7	(	(	PUNCT
cana-4458	185	8	ggm	ggm	PROPN
cana-4458	185	9	)	)	PUNCT
cana-4458	185	10	was	be	AUX
cana-4458	185	11	applied	apply	VERB
cana-4458	185	12	to	to	ADP
cana-4458	185	13	the	the	DET
cana-4458	185	14	transformed	transform	VERB
cana-4458	185	15	rainfall	rainfall	NOUN
cana-4458	185	16	data	datum	NOUN
cana-4458	185	17	(	(	PUNCT
cana-4458	185	18	zz	zz	NOUN
cana-4458	185	19	)	)	PUNCT
cana-4458	185	20	to	to	PART
cana-4458	185	21	address	address	VERB
cana-4458	185	22	the	the	DET
cana-4458	185	23	non	non	ADJ
cana-4458	185	24	-	-	ADJ
cana-4458	185	25	gaussian	gaussian	ADJ
cana-4458	185	26	characteristics	characteristic	NOUN
cana-4458	185	27	.	.	PUNCT
cana-4458	186	1	the	the	DET
cana-4458	186	2	model	model	NOUN
cana-4458	186	3	successfully	successfully	ADV
cana-4458	186	4	captured	capture	VERB
cana-4458	186	5	the	the	DET
cana-4458	186	6	statistical	statistical	ADJ
cana-4458	186	7	properties	property	NOUN
cana-4458	186	8	of	of	ADP
cana-4458	186	9	the	the	DET
cana-4458	186	10	data	datum	NOUN
cana-4458	186	11	,	,	PUNCT
cana-4458	186	12	as	as	SCONJ
cana-4458	186	13	evidenced	evidence	VERB
cana-4458	186	14	by	by	ADP
cana-4458	186	15	the	the	DET
cana-4458	186	16	alignment	alignment	NOUN
cana-4458	186	17	of	of	ADP
cana-4458	186	18	the	the	DET
cana-4458	186	19	ggm	ggm	NOUN
cana-4458	186	20	with	with	ADP
cana-4458	186	21	the	the	DET
cana-4458	186	22	observed	observe	VERB
cana-4458	186	23	data	datum	NOUN
cana-4458	186	24	in	in	ADP
cana-4458	186	25	terms	term	NOUN
cana-4458	186	26	of	of	ADP
cana-4458	186	27	the	the	DET
cana-4458	186	28	first	first	ADJ
cana-4458	186	29	four	four	NUM
cana-4458	186	30	moments	moment	NOUN
cana-4458	186	31	(	(	PUNCT
cana-4458	186	32	mean	mean	ADJ
cana-4458	186	33	,	,	PUNCT
cana-4458	186	34	variance	variance	NOUN
cana-4458	186	35	,	,	PUNCT
cana-4458	186	36	skewness	skewness	NOUN
cana-4458	186	37	,	,	PUNCT
cana-4458	186	38	and	and	CCONJ
cana-4458	186	39	kurtosis	kurtosis	NOUN
cana-4458	186	40	)	)	PUNCT
cana-4458	186	41	.	.	PUNCT
cana-4458	187	1	the	the	DET
cana-4458	187	2	comparison	comparison	NOUN
cana-4458	187	3	of	of	ADP
cana-4458	187	4	observed	observed	ADJ
cana-4458	187	5	and	and	CCONJ
cana-4458	187	6	modeled	model	VERB
cana-4458	187	7	distributions	distribution	NOUN
cana-4458	187	8	(	(	PUNCT
cana-4458	187	9	figure	figure	NOUN
cana-4458	187	10	4	4	NUM
cana-4458	187	11	)	)	PUNCT
cana-4458	187	12	demonstrated	demonstrate	VERB
cana-4458	187	13	that	that	SCONJ
cana-4458	187	14	the	the	DET
cana-4458	187	15	ggm	ggm	NOUN
cana-4458	187	16	closely	closely	ADV
cana-4458	187	17	replicates	replicate	VERB
cana-4458	187	18	the	the	DET
cana-4458	187	19	probability	probability	NOUN
cana-4458	187	20	density	density	NOUN
cana-4458	187	21	function	function	NOUN
cana-4458	187	22	of	of	ADP
cana-4458	187	23	rainfall	rainfall	NOUN
cana-4458	187	24	data	data	PROPN
cana-4458	187	25	,	,	PUNCT
cana-4458	187	26	outperforming	outperform	VERB
cana-4458	187	27	the	the	DET
cana-4458	187	28	simple	simple	ADJ
cana-4458	187	29	gaussian	gaussian	ADJ
cana-4458	187	30	model	model	NOUN
cana-4458	187	31	.	.	PUNCT
cana-4458	188	1	the	the	DET
cana-4458	188	2	ability	ability	NOUN
cana-4458	188	3	of	of	ADP
cana-4458	188	4	the	the	DET
cana-4458	188	5	ggm	ggm	PROPN
cana-4458	188	6	to	to	PART
cana-4458	188	7	account	account	VERB
cana-4458	188	8	for	for	ADP
cana-4458	188	9	bimodal	bimodal	NOUN
cana-4458	188	10	patterns	pattern	NOUN
cana-4458	188	11	makes	make	VERB
cana-4458	188	12	it	it	PRON
cana-4458	188	13	particularly	particularly	ADV
cana-4458	188	14	effective	effective	ADJ
cana-4458	188	15	for	for	ADP
cana-4458	188	16	analyzing	analyze	VERB
cana-4458	188	17	complex	complex	ADJ
cana-4458	188	18	rainfall	rainfall	NOUN
cana-4458	188	19	distributions	distribution	NOUN
cana-4458	188	20	in	in	ADP
cana-4458	188	21	the	the	DET
cana-4458	188	22	flood	flood	NOUN
cana-4458	188	23	-	-	PUNCT
cana-4458	188	24	prone	prone	ADJ
cana-4458	188	25	regions	region	NOUN
cana-4458	188	26	of	of	ADP
cana-4458	188	27	karnataka	karnataka	PROPN
cana-4458	188	28	.	.	PUNCT
cana-4458	189	1	this	this	DET
cana-4458	189	2	feature	feature	NOUN
cana-4458	189	3	is	be	AUX
cana-4458	189	4	crucial	crucial	ADJ
cana-4458	189	5	for	for	ADP
cana-4458	189	6	understanding	understand	VERB
cana-4458	189	7	the	the	DET
cana-4458	189	8	underlying	underlying	ADJ
cana-4458	189	9	dynamics	dynamic	NOUN
cana-4458	189	10	of	of	ADP
cana-4458	189	11	rainfall	rainfall	NOUN
cana-4458	189	12	and	and	CCONJ
cana-4458	189	13	developing	develop	VERB
cana-4458	189	14	accurate	accurate	ADJ
cana-4458	189	15	flood	flood	NOUN
cana-4458	189	16	risk	risk	NOUN
cana-4458	189	17	assessments	assessment	NOUN
cana-4458	189	18	.	.	PUNCT
cana-4458	190	1	level	level	NOUN
cana-4458	190	2	crossing	crossing	NOUN
cana-4458	190	3	statistics	statistic	NOUN
cana-4458	190	4	were	be	AUX
cana-4458	190	5	computed	compute	VERB
cana-4458	190	6	to	to	PART
cana-4458	190	7	evaluate	evaluate	VERB
cana-4458	190	8	the	the	DET
cana-4458	190	9	model	model	NOUN
cana-4458	190	10	's	's	PART
cana-4458	190	11	ability	ability	NOUN
cana-4458	190	12	to	to	PART
cana-4458	190	13	predict	predict	VERB
cana-4458	190	14	extreme	extreme	ADJ
cana-4458	190	15	rainfall	rainfall	NOUN
cana-4458	190	16	events	event	NOUN
cana-4458	190	17	.	.	PUNCT
cana-4458	191	1	the	the	DET
cana-4458	191	2	analysis	analysis	NOUN
cana-4458	191	3	considered	consider	VERB
cana-4458	191	4	two	two	NUM
cana-4458	191	5	thresholds	threshold	NOUN
cana-4458	191	6	:	:	PUNCT
cana-4458	191	7	+10	+10	NOUN
cana-4458	191	8	%	%	NOUN
cana-4458	191	9	and	and	CCONJ
cana-4458	191	10	-10	-10	NUM
cana-4458	191	11	%	%	NOUN
cana-4458	191	12	of	of	ADP
cana-4458	191	13	the	the	DET
cana-4458	191	14	normal	normal	ADJ
cana-4458	191	15	value	value	NOUN
cana-4458	191	16	for	for	ADP
cana-4458	191	17	abovenormal	abovenormal	ADJ
cana-4458	191	18	rainfall	rainfall	NOUN
cana-4458	191	19	and	and	CCONJ
cana-4458	191	20	drought	drought	NOUN
cana-4458	191	21	conditions	condition	NOUN
cana-4458	191	22	,	,	PUNCT
cana-4458	191	23	respectively	respectively	ADV
cana-4458	191	24	,	,	PUNCT
cana-4458	191	25	and	and	CCONJ
cana-4458	191	26	+20	+20	NUM
cana-4458	191	27	%	%	NOUN
cana-4458	191	28	and	and	CCONJ
cana-4458	191	29	-20	-20	NUM
cana-4458	191	30	%	%	NOUN
cana-4458	191	31	for	for	ADP
cana-4458	191	32	severe	severe	ADJ
cana-4458	191	33	rainfall	rainfall	NOUN
cana-4458	191	34	and	and	CCONJ
cana-4458	191	35	extreme	extreme	ADJ
cana-4458	191	36	drought	drought	NOUN
cana-4458	191	37	conditions	condition	NOUN
cana-4458	191	38	.	.	PUNCT
cana-4458	192	1	the	the	DET
cana-4458	192	2	results	result	NOUN
cana-4458	192	3	revealed	reveal	VERB
cana-4458	192	4	that	that	SCONJ
cana-4458	192	5	the	the	DET
cana-4458	192	6	ggm	ggm	PROPN
cana-4458	192	7	consistently	consistently	ADV
cana-4458	192	8	outperformed	outperform	VERB
cana-4458	192	9	the	the	DET
cana-4458	192	10	gaussian	gaussian	ADJ
cana-4458	192	11	model	model	NOUN
cana-4458	192	12	in	in	ADP
cana-4458	192	13	capturing	capture	VERB
cana-4458	192	14	the	the	DET
cana-4458	192	15	frequency	frequency	NOUN
cana-4458	192	16	of	of	ADP
cana-4458	192	17	upward	upward	ADJ
cana-4458	192	18	and	and	CCONJ
cana-4458	192	19	downward	downward	ADJ
cana-4458	192	20	crossings	crossing	NOUN
cana-4458	192	21	(	(	PUNCT
cana-4458	192	22	table	table	NOUN
cana-4458	192	23	6	6	NUM
cana-4458	192	24	)	)	PUNCT
cana-4458	192	25	.	.	PUNCT
cana-4458	193	1	for	for	SCONJ
cana-4458	193	2	communications	communication	NOUN
cana-4458	193	3	on	on	ADP
cana-4458	193	4	applied	apply	VERB
cana-4458	193	5	nonlinear	nonlinear	ADJ
cana-4458	193	6	analysis	analysis	NOUN
cana-4458	193	7	issn	issn	NOUN
cana-4458	193	8	:	:	PUNCT
cana-4458	193	9	1074	1074	NUM
cana-4458	193	10	-	-	PUNCT
cana-4458	193	11	133x	133x	NUM
cana-4458	193	12	vol	vol	NOUN
cana-4458	193	13	32	32	NUM
cana-4458	193	14	no	no	NOUN
cana-4458	193	15	.	.	PUNCT
cana-4458	194	1	9s	9s	NUM
cana-4458	194	2	(	(	PUNCT
cana-4458	194	3	2025	2025	NUM
cana-4458	194	4	)	)	PUNCT
cana-4458	194	5	2230	2230	NUM
cana-4458	194	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4458	194	7	instance	instance	NOUN
cana-4458	194	8	,	,	PUNCT
cana-4458	194	9	in	in	ADP
cana-4458	194	10	shivamogga	shivamogga	PROPN
cana-4458	194	11	,	,	PUNCT
cana-4458	194	12	the	the	DET
cana-4458	194	13	ggm	ggm	PROPN
cana-4458	194	14	closely	closely	ADV
cana-4458	194	15	predicted	predicted	AUX
cana-4458	194	16	observed	observe	VERB
cana-4458	194	17	upward	upward	ADJ
cana-4458	194	18	crossings	crossing	NOUN
cana-4458	194	19	at	at	ADP
cana-4458	194	20	the	the	DET
cana-4458	194	21	+20	+20	NUM
cana-4458	194	22	%	%	NOUN
cana-4458	194	23	threshold	threshold	NOUN
cana-4458	194	24	,	,	PUNCT
cana-4458	194	25	whereas	whereas	SCONJ
cana-4458	194	26	the	the	DET
cana-4458	194	27	gaussian	gaussian	ADJ
cana-4458	194	28	model	model	NOUN
cana-4458	194	29	significantly	significantly	ADV
cana-4458	194	30	underestimated	underestimate	VERB
cana-4458	194	31	the	the	DET
cana-4458	194	32	counts	count	NOUN
cana-4458	194	33	.	.	PUNCT
cana-4458	195	1	similarly	similarly	ADV
cana-4458	195	2	,	,	PUNCT
cana-4458	195	3	for	for	ADP
cana-4458	195	4	downward	downward	ADJ
cana-4458	195	5	crossings	crossing	NOUN
cana-4458	195	6	in	in	ADP
cana-4458	195	7	kodagu	kodagu	PROPN
cana-4458	195	8	,	,	PUNCT
cana-4458	195	9	the	the	DET
cana-4458	195	10	ggm	ggm	NOUN
cana-4458	195	11	provided	provide	VERB
cana-4458	195	12	accurate	accurate	ADJ
cana-4458	195	13	estimates	estimate	NOUN
cana-4458	195	14	compared	compare	VERB
cana-4458	195	15	to	to	ADP
cana-4458	195	16	the	the	DET
cana-4458	195	17	gaussian	gaussian	ADJ
cana-4458	195	18	model	model	NOUN
cana-4458	195	19	,	,	PUNCT
cana-4458	195	20	which	which	PRON
cana-4458	195	21	failed	fail	VERB
cana-4458	195	22	to	to	PART
cana-4458	195	23	capture	capture	VERB
cana-4458	195	24	extreme	extreme	ADJ
cana-4458	195	25	drought	drought	NOUN
cana-4458	195	26	conditions	condition	NOUN
cana-4458	195	27	effectively	effectively	ADV
cana-4458	195	28	.	.	PUNCT
cana-4458	196	1	these	these	DET
cana-4458	196	2	results	result	NOUN
cana-4458	196	3	highlight	highlight	VERB
cana-4458	196	4	the	the	DET
cana-4458	196	5	robustness	robustness	NOUN
cana-4458	196	6	of	of	ADP
cana-4458	196	7	the	the	DET
cana-4458	196	8	ggm	ggm	NOUN
cana-4458	196	9	in	in	ADP
cana-4458	196	10	capturing	capture	VERB
cana-4458	196	11	the	the	DET
cana-4458	196	12	critical	critical	ADJ
cana-4458	196	13	thresholds	threshold	NOUN
cana-4458	196	14	that	that	PRON
cana-4458	196	15	define	define	VERB
cana-4458	196	16	extreme	extreme	ADJ
cana-4458	196	17	weather	weather	NOUN
cana-4458	196	18	events	event	NOUN
cana-4458	196	19	.	.	PUNCT
cana-4458	197	1	the	the	DET
cana-4458	197	2	model	model	NOUN
cana-4458	197	3	's	's	PART
cana-4458	197	4	ability	ability	NOUN
cana-4458	197	5	to	to	PART
cana-4458	197	6	represent	represent	VERB
cana-4458	197	7	both	both	CCONJ
cana-4458	197	8	upward	upward	ADJ
cana-4458	197	9	and	and	CCONJ
cana-4458	197	10	downward	downward	ADJ
cana-4458	197	11	level	level	NOUN
cana-4458	197	12	crossings	crossing	NOUN
cana-4458	197	13	demonstrates	demonstrate	VERB
cana-4458	197	14	its	its	PRON
cana-4458	197	15	potential	potential	NOUN
cana-4458	197	16	for	for	ADP
cana-4458	197	17	flood	flood	NOUN
cana-4458	197	18	forecasting	forecasting	NOUN
cana-4458	197	19	and	and	CCONJ
cana-4458	197	20	drought	drought	NOUN
cana-4458	197	21	risk	risk	NOUN
cana-4458	197	22	assessment	assessment	NOUN
cana-4458	197	23	.	.	PUNCT
cana-4458	198	1	the	the	DET
cana-4458	198	2	findings	finding	NOUN
cana-4458	198	3	reveal	reveal	VERB
cana-4458	198	4	strong	strong	ADJ
cana-4458	198	5	correlations	correlation	NOUN
cana-4458	198	6	among	among	ADP
cana-4458	198	7	rainfall	rainfall	NOUN
cana-4458	198	8	patterns	pattern	NOUN
cana-4458	198	9	in	in	ADP
cana-4458	198	10	the	the	DET
cana-4458	198	11	hilly	hilly	ADJ
cana-4458	198	12	regions	region	NOUN
cana-4458	198	13	of	of	ADP
cana-4458	198	14	kodagu	kodagu	ADJ
cana-4458	198	15	,	,	PUNCT
cana-4458	198	16	chikkamagalur	chikkamagalur	PROPN
cana-4458	198	17	,	,	PUNCT
cana-4458	198	18	shivamogga	shivamogga	NOUN
cana-4458	198	19	,	,	PUNCT
cana-4458	198	20	and	and	CCONJ
cana-4458	198	21	uttara	uttara	PROPN
cana-4458	198	22	kannada	kannada	PROPN
cana-4458	198	23	,	,	PUNCT
cana-4458	198	24	reflecting	reflect	VERB
cana-4458	198	25	their	their	PRON
cana-4458	198	26	interconnected	interconnected	ADJ
cana-4458	198	27	climatic	climatic	ADJ
cana-4458	198	28	dynamics	dynamic	NOUN
cana-4458	198	29	in	in	ADP
cana-4458	198	30	the	the	DET
cana-4458	198	31	western	western	ADJ
cana-4458	198	32	ghats	ghat	NOUN
cana-4458	198	33	.	.	PUNCT
cana-4458	199	1	coastal	coastal	ADJ
cana-4458	199	2	regions	region	NOUN
cana-4458	199	3	such	such	ADJ
cana-4458	199	4	as	as	ADP
cana-4458	199	5	dakshina	dakshina	PROPN
cana-4458	199	6	kannada	kannada	PROPN
cana-4458	199	7	and	and	CCONJ
cana-4458	199	8	udupi	udupi	PROPN
cana-4458	199	9	,	,	PUNCT
cana-4458	199	10	while	while	SCONJ
cana-4458	199	11	moderately	moderately	ADV
cana-4458	199	12	correlated	correlate	VERB
cana-4458	199	13	,	,	PUNCT
cana-4458	199	14	exhibit	exhibit	VERB
cana-4458	199	15	localized	localized	ADJ
cana-4458	199	16	rainfall	rainfall	NOUN
cana-4458	199	17	variability	variability	NOUN
cana-4458	199	18	,	,	PUNCT
cana-4458	199	19	emphasizing	emphasize	VERB
cana-4458	199	20	the	the	DET
cana-4458	199	21	need	need	NOUN
cana-4458	199	22	for	for	ADP
cana-4458	199	23	tailored	tailored	ADJ
cana-4458	199	24	flood	flood	NOUN
cana-4458	199	25	mitigation	mitigation	NOUN
cana-4458	199	26	strategies	strategy	NOUN
cana-4458	199	27	.	.	PUNCT
cana-4458	200	1	the	the	DET
cana-4458	200	2	variation	variation	NOUN
cana-4458	200	3	in	in	ADP
cana-4458	200	4	correlation	correlation	NOUN
cana-4458	200	5	across	across	ADP
cana-4458	200	6	distinct	distinct	ADJ
cana-4458	200	7	topographies	topography	NOUN
cana-4458	200	8	highlights	highlight	VERB
cana-4458	200	9	the	the	DET
cana-4458	200	10	importance	importance	NOUN
cana-4458	200	11	of	of	ADP
cana-4458	200	12	region	region	NOUN
cana-4458	200	13	-	-	PUNCT
cana-4458	200	14	specific	specific	ADJ
cana-4458	200	15	flood	flood	NOUN
cana-4458	200	16	risk	risk	NOUN
cana-4458	200	17	management	management	NOUN
cana-4458	200	18	approaches	approach	NOUN
cana-4458	200	19	.	.	PUNCT
cana-4458	201	1	the	the	DET
cana-4458	201	2	ggm	ggm	NOUN
cana-4458	201	3	's	's	PART
cana-4458	201	4	ability	ability	NOUN
cana-4458	201	5	to	to	PART
cana-4458	201	6	accurately	accurately	ADV
cana-4458	201	7	model	model	VERB
cana-4458	201	8	rainfall	rainfall	NOUN
cana-4458	201	9	data	datum	NOUN
cana-4458	201	10	has	have	VERB
cana-4458	201	11	significant	significant	ADJ
cana-4458	201	12	implications	implication	NOUN
cana-4458	201	13	for	for	ADP
cana-4458	201	14	disaster	disaster	NOUN
cana-4458	201	15	preparedness	preparedness	NOUN
cana-4458	201	16	and	and	CCONJ
cana-4458	201	17	resource	resource	NOUN
cana-4458	201	18	management	management	NOUN
cana-4458	201	19	.	.	PUNCT
cana-4458	202	1	the	the	DET
cana-4458	202	2	model	model	NOUN
cana-4458	202	3	's	's	PART
cana-4458	202	4	reliability	reliability	NOUN
cana-4458	202	5	in	in	ADP
cana-4458	202	6	representing	represent	VERB
cana-4458	202	7	rainfall	rainfall	NOUN
cana-4458	202	8	extremes	extreme	NOUN
cana-4458	202	9	offers	offer	VERB
cana-4458	202	10	a	a	DET
cana-4458	202	11	valuable	valuable	ADJ
cana-4458	202	12	tool	tool	NOUN
cana-4458	202	13	for	for	SCONJ
cana-4458	202	14	policymakers	policymaker	NOUN
cana-4458	202	15	to	to	PART
cana-4458	202	16	plan	plan	VERB
cana-4458	202	17	flood	flood	NOUN
cana-4458	202	18	mitigation	mitigation	NOUN
cana-4458	202	19	strategies	strategy	NOUN
cana-4458	202	20	,	,	PUNCT
cana-4458	202	21	allocate	allocate	ADJ
cana-4458	202	22	resources	resource	NOUN
cana-4458	202	23	,	,	PUNCT
cana-4458	202	24	and	and	CCONJ
cana-4458	202	25	improve	improve	VERB
cana-4458	202	26	early	early	ADJ
cana-4458	202	27	warning	warning	NOUN
cana-4458	202	28	systems	system	NOUN
cana-4458	202	29	.	.	PUNCT
cana-4458	203	1	additionally	additionally	ADV
cana-4458	203	2	,	,	PUNCT
cana-4458	203	3	the	the	DET
cana-4458	203	4	insights	insight	NOUN
cana-4458	203	5	from	from	ADP
cana-4458	203	6	level	level	NOUN
cana-4458	203	7	crossing	crossing	NOUN
cana-4458	203	8	statistics	statistic	NOUN
cana-4458	203	9	can	can	AUX
cana-4458	203	10	aid	aid	VERB
cana-4458	203	11	in	in	ADP
cana-4458	203	12	designing	design	VERB
cana-4458	203	13	robust	robust	ADJ
cana-4458	203	14	infrastructure	infrastructure	NOUN
cana-4458	203	15	and	and	CCONJ
cana-4458	203	16	agricultural	agricultural	ADJ
cana-4458	203	17	practices	practice	NOUN
cana-4458	203	18	to	to	PART
cana-4458	203	19	withstand	withstand	VERB
cana-4458	203	20	extreme	extreme	ADJ
cana-4458	203	21	weather	weather	NOUN
cana-4458	203	22	events	event	NOUN
cana-4458	203	23	.	.	PUNCT
cana-4458	204	1	conclusion	conclusion	NOUN
cana-4458	204	2	this	this	DET
cana-4458	204	3	study	study	NOUN
cana-4458	204	4	demonstrates	demonstrate	VERB
cana-4458	204	5	the	the	DET
cana-4458	204	6	effectiveness	effectiveness	NOUN
cana-4458	204	7	of	of	ADP
cana-4458	204	8	the	the	DET
cana-4458	204	9	gaussian	gaussian	NOUN
cana-4458	204	10	and	and	CCONJ
cana-4458	204	11	gamma	gamma	NOUN
cana-4458	204	12	mixture	mixture	NOUN
cana-4458	204	13	model	model	NOUN
cana-4458	204	14	(	(	PUNCT
cana-4458	204	15	ggm	ggm	PROPN
cana-4458	204	16	)	)	PUNCT
cana-4458	204	17	in	in	ADP
cana-4458	204	18	addressing	address	VERB
cana-4458	204	19	the	the	DET
cana-4458	204	20	limitations	limitation	NOUN
cana-4458	204	21	of	of	ADP
cana-4458	204	22	traditional	traditional	ADJ
cana-4458	204	23	gaussian	gaussian	ADJ
cana-4458	204	24	models	model	NOUN
cana-4458	204	25	for	for	ADP
cana-4458	204	26	analyzing	analyze	VERB
cana-4458	204	27	rainfall	rainfall	NOUN
cana-4458	204	28	data	datum	NOUN
cana-4458	204	29	in	in	ADP
cana-4458	204	30	karnataka	karnataka	PROPN
cana-4458	204	31	's	's	PART
cana-4458	204	32	flood	flood	NOUN
cana-4458	204	33	-	-	PUNCT
cana-4458	204	34	prone	prone	ADJ
cana-4458	204	35	regions	region	NOUN
cana-4458	204	36	.	.	PUNCT
cana-4458	205	1	the	the	DET
cana-4458	205	2	ggm	ggm	PROPN
cana-4458	205	3	successfully	successfully	ADV
cana-4458	205	4	captures	capture	VERB
cana-4458	205	5	the	the	DET
cana-4458	205	6	complex	complex	ADJ
cana-4458	205	7	statistical	statistical	ADJ
cana-4458	205	8	properties	property	NOUN
cana-4458	205	9	of	of	ADP
cana-4458	205	10	rainfall	rainfall	NOUN
cana-4458	205	11	,	,	PUNCT
cana-4458	205	12	including	include	VERB
cana-4458	205	13	skewness	skewness	NOUN
cana-4458	205	14	,	,	PUNCT
cana-4458	205	15	kurtosis	kurtosis	NOUN
cana-4458	205	16	,	,	PUNCT
cana-4458	205	17	and	and	CCONJ
cana-4458	205	18	level	level	NOUN
cana-4458	205	19	crossing	crossing	NOUN
cana-4458	205	20	frequencies	frequency	NOUN
cana-4458	205	21	,	,	PUNCT
cana-4458	205	22	which	which	PRON
cana-4458	205	23	are	be	AUX
cana-4458	205	24	critical	critical	ADJ
cana-4458	205	25	for	for	ADP
cana-4458	205	26	understanding	understanding	NOUN
cana-4458	205	27	and	and	CCONJ
cana-4458	205	28	predicting	predict	VERB
cana-4458	205	29	extreme	extreme	ADJ
cana-4458	205	30	weather	weather	NOUN
cana-4458	205	31	events	event	NOUN
cana-4458	205	32	such	such	ADJ
cana-4458	205	33	as	as	ADP
cana-4458	205	34	floods	flood	NOUN
cana-4458	205	35	.	.	PUNCT
cana-4458	206	1	the	the	DET
cana-4458	206	2	model	model	NOUN
cana-4458	206	3	’s	’s	PART
cana-4458	206	4	ability	ability	NOUN
cana-4458	206	5	to	to	PART
cana-4458	206	6	represent	represent	VERB
cana-4458	206	7	bimodal	bimodal	NOUN
cana-4458	206	8	and	and	CCONJ
cana-4458	206	9	nongaussian	nongaussian	ADJ
cana-4458	206	10	behavior	behavior	NOUN
cana-4458	206	11	observed	observe	VERB
cana-4458	206	12	in	in	ADP
cana-4458	206	13	the	the	DET
cana-4458	206	14	data	data	NOUN
cana-4458	206	15	ensures	ensure	VERB
cana-4458	206	16	a	a	DET
cana-4458	206	17	more	more	ADV
cana-4458	206	18	accurate	accurate	ADJ
cana-4458	206	19	depiction	depiction	NOUN
cana-4458	206	20	of	of	ADP
cana-4458	206	21	rainfall	rainfall	NOUN
cana-4458	206	22	distributions	distribution	NOUN
cana-4458	206	23	compared	compare	VERB
cana-4458	206	24	to	to	ADP
cana-4458	206	25	simpler	simple	ADJ
cana-4458	206	26	approaches	approach	NOUN
cana-4458	206	27	.	.	PUNCT
cana-4458	207	1	the	the	DET
cana-4458	207	2	application	application	NOUN
cana-4458	207	3	of	of	ADP
cana-4458	207	4	the	the	DET
cana-4458	207	5	ggm	ggm	NOUN
cana-4458	207	6	provides	provide	VERB
cana-4458	207	7	valuable	valuable	ADJ
cana-4458	207	8	insights	insight	NOUN
cana-4458	207	9	into	into	ADP
cana-4458	207	10	the	the	DET
cana-4458	207	11	regional	regional	ADJ
cana-4458	207	12	dynamics	dynamic	NOUN
cana-4458	207	13	of	of	ADP
cana-4458	207	14	rainfall	rainfall	NOUN
cana-4458	207	15	patterns	pattern	NOUN
cana-4458	207	16	,	,	PUNCT
cana-4458	207	17	particularly	particularly	ADV
cana-4458	207	18	in	in	ADP
cana-4458	207	19	diverse	diverse	ADJ
cana-4458	207	20	topographical	topographical	ADJ
cana-4458	207	21	regions	region	NOUN
cana-4458	207	22	such	such	ADJ
cana-4458	207	23	as	as	ADP
cana-4458	207	24	dakshina	dakshina	PROPN
cana-4458	207	25	kannada	kannada	PROPN
cana-4458	207	26	,	,	PUNCT
cana-4458	207	27	udupi	udupi	PROPN
cana-4458	207	28	,	,	PUNCT
cana-4458	207	29	uttara	uttara	PROPN
cana-4458	207	30	kannada	kannada	PROPN
cana-4458	207	31	,	,	PUNCT
cana-4458	207	32	kodagu	kodagu	PROPN
cana-4458	207	33	,	,	PUNCT
cana-4458	207	34	chikkamagalur	chikkamagalur	NOUN
cana-4458	207	35	,	,	PUNCT
cana-4458	207	36	and	and	CCONJ
cana-4458	207	37	shivamogga	shivamogga	NOUN
cana-4458	207	38	.	.	PUNCT
cana-4458	208	1	the	the	DET
cana-4458	208	2	model	model	NOUN
cana-4458	208	3	’s	’s	PART
cana-4458	208	4	robustness	robustness	NOUN
cana-4458	208	5	in	in	ADP
cana-4458	208	6	predicting	predict	VERB
cana-4458	208	7	upward	upward	ADJ
cana-4458	208	8	level	level	NOUN
cana-4458	208	9	crossings	crossing	NOUN
cana-4458	208	10	at	at	ADP
cana-4458	208	11	critical	critical	ADJ
cana-4458	208	12	thresholds	threshold	NOUN
cana-4458	208	13	enhances	enhance	VERB
cana-4458	208	14	its	its	PRON
cana-4458	208	15	utility	utility	NOUN
cana-4458	208	16	for	for	ADP
cana-4458	208	17	flood	flood	NOUN
cana-4458	208	18	forecasting	forecasting	NOUN
cana-4458	208	19	and	and	CCONJ
cana-4458	208	20	risk	risk	NOUN
cana-4458	208	21	assessment	assessment	NOUN
cana-4458	208	22	.	.	PUNCT
cana-4458	209	1	these	these	DET
cana-4458	209	2	findings	finding	NOUN
cana-4458	209	3	emphasize	emphasize	VERB
cana-4458	209	4	the	the	DET
cana-4458	209	5	importance	importance	NOUN
cana-4458	209	6	of	of	ADP
cana-4458	209	7	integrating	integrate	VERB
cana-4458	209	8	advanced	advanced	ADJ
cana-4458	209	9	statistical	statistical	ADJ
cana-4458	209	10	models	model	NOUN
cana-4458	209	11	into	into	ADP
cana-4458	209	12	disaster	disaster	NOUN
cana-4458	209	13	preparedness	preparedness	NOUN
cana-4458	209	14	and	and	CCONJ
cana-4458	209	15	resource	resource	NOUN
cana-4458	209	16	management	management	NOUN
cana-4458	209	17	strategies	strategy	NOUN
cana-4458	209	18	,	,	PUNCT
cana-4458	209	19	aiding	aid	VERB
cana-4458	209	20	policymakers	policymaker	NOUN
cana-4458	209	21	in	in	ADP
cana-4458	209	22	planning	plan	VERB
cana-4458	209	23	for	for	ADP
cana-4458	209	24	extreme	extreme	ADJ
cana-4458	209	25	weather	weather	NOUN
cana-4458	209	26	events	event	NOUN
cana-4458	209	27	and	and	CCONJ
cana-4458	209	28	improving	improve	VERB
cana-4458	209	29	regional	regional	ADJ
cana-4458	209	30	resilience	resilience	NOUN
cana-4458	209	31	.	.	PUNCT
cana-4458	210	1	this	this	DET
cana-4458	210	2	research	research	NOUN
cana-4458	210	3	provides	provide	VERB
cana-4458	210	4	the	the	DET
cana-4458	210	5	way	way	NOUN
cana-4458	210	6	for	for	ADP
cana-4458	210	7	future	future	ADJ
cana-4458	210	8	studies	study	NOUN
cana-4458	210	9	by	by	ADP
cana-4458	210	10	suggesting	suggest	VERB
cana-4458	210	11	the	the	DET
cana-4458	210	12	incorporation	incorporation	NOUN
cana-4458	210	13	of	of	ADP
cana-4458	210	14	additional	additional	ADJ
cana-4458	210	15	climatic	climatic	ADJ
cana-4458	210	16	variables	variable	NOUN
cana-4458	210	17	,	,	PUNCT
cana-4458	210	18	such	such	ADJ
cana-4458	210	19	as	as	ADP
cana-4458	210	20	soil	soil	NOUN
cana-4458	210	21	moisture	moisture	NOUN
cana-4458	210	22	and	and	CCONJ
cana-4458	210	23	temperature	temperature	NOUN
cana-4458	210	24	,	,	PUNCT
cana-4458	210	25	and	and	CCONJ
cana-4458	210	26	expanding	expand	VERB
cana-4458	210	27	the	the	DET
cana-4458	210	28	model	model	NOUN
cana-4458	210	29	’s	’s	PART
cana-4458	210	30	application	application	NOUN
cana-4458	210	31	to	to	ADP
cana-4458	210	32	other	other	ADJ
cana-4458	210	33	flood	flood	NOUN
cana-4458	210	34	-	-	PUNCT
cana-4458	210	35	prone	prone	ADJ
cana-4458	210	36	regions	region	NOUN
cana-4458	210	37	.	.	PUNCT
cana-4458	211	1	the	the	DET
cana-4458	211	2	ggm	ggm	PROPN
cana-4458	211	3	thus	thus	ADV
cana-4458	211	4	serves	serve	VERB
cana-4458	211	5	as	as	ADP
cana-4458	211	6	a	a	DET
cana-4458	211	7	reliable	reliable	ADJ
cana-4458	211	8	tool	tool	NOUN
cana-4458	211	9	for	for	ADP
cana-4458	211	10	enhancing	enhance	VERB
cana-4458	211	11	flood	flood	NOUN
cana-4458	211	12	risk	risk	NOUN
cana-4458	211	13	mitigation	mitigation	NOUN
cana-4458	211	14	and	and	CCONJ
cana-4458	211	15	climate	climate	NOUN
cana-4458	211	16	adaption	adaption	NOUN
cana-4458	211	17	efforts	effort	NOUN
cana-4458	211	18	.	.	PUNCT
cana-4458	212	1	references	reference	NOUN
cana-4458	212	2	:	:	PUNCT
cana-4458	212	3	1	1	X
cana-4458	212	4	.	.	X
cana-4458	212	5	kumar	kumar	PROPN
cana-4458	212	6	,	,	PUNCT
cana-4458	212	7	n.	n.	PROPN
cana-4458	212	8	,	,	PUNCT
cana-4458	212	9	tischbein	tischbein	PROPN
cana-4458	212	10	,	,	PUNCT
cana-4458	212	11	b.	b.	PROPN
cana-4458	212	12	,	,	PUNCT
cana-4458	212	13	&	&	CCONJ
cana-4458	212	14	beg	beg	PROPN
cana-4458	212	15	,	,	PUNCT
cana-4458	212	16	m.	m.	PROPN
cana-4458	212	17	k.	k.	PROPN
cana-4458	212	18	(	(	PUNCT
cana-4458	212	19	2019	2019	NUM
cana-4458	212	20	)	)	PUNCT
cana-4458	212	21	.	.	PUNCT
cana-4458	213	1	multiple	multiple	ADJ
cana-4458	213	2	trend	trend	NOUN
cana-4458	213	3	analysis	analysis	NOUN
cana-4458	213	4	of	of	ADP
cana-4458	213	5	rainfall	rainfall	NOUN
cana-4458	213	6	and	and	CCONJ
cana-4458	213	7	temperature	temperature	NOUN
cana-4458	213	8	for	for	ADP
cana-4458	213	9	a	a	DET
cana-4458	213	10	monsoon	monsoon	NOUN
cana-4458	213	11	-	-	PUNCT
cana-4458	213	12	dominated	dominate	VERB
cana-4458	213	13	catchment	catchment	NOUN
cana-4458	213	14	in	in	ADP
cana-4458	213	15	india	india	PROPN
cana-4458	213	16	.	.	PUNCT
cana-4458	214	1	meteorology	meteorology	NOUN
cana-4458	214	2	and	and	CCONJ
cana-4458	214	3	atmospheric	atmospheric	PROPN
cana-4458	214	4	physics	physics	NOUN
cana-4458	214	5	,	,	PUNCT
cana-4458	214	6	131(5	131(5	NUM
cana-4458	214	7	)	)	PUNCT
cana-4458	214	8	,	,	PUNCT
cana-4458	214	9	1	1	NUM
cana-4458	214	10	-	-	SYM
cana-4458	214	11	15	15	NUM
cana-4458	214	12	.	.	PUNCT
cana-4458	215	1	communications	communication	NOUN
cana-4458	215	2	on	on	ADP
cana-4458	215	3	applied	apply	VERB
cana-4458	215	4	nonlinear	nonlinear	ADJ
cana-4458	215	5	analysis	analysis	NOUN
cana-4458	215	6	issn	issn	NOUN
cana-4458	215	7	:	:	PUNCT
cana-4458	215	8	1074	1074	NUM
cana-4458	215	9	-	-	PUNCT
cana-4458	215	10	133x	133x	NUM
cana-4458	215	11	vol	vol	NOUN
cana-4458	215	12	32	32	NUM
cana-4458	215	13	no	no	NOUN
cana-4458	215	14	.	.	PUNCT
cana-4458	216	1	9s	9s	NUM
cana-4458	216	2	(	(	PUNCT
cana-4458	216	3	2025	2025	NUM
cana-4458	216	4	)	)	PUNCT
cana-4458	216	5	2231	2231	NUM
cana-4458	216	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4458	216	7	2	2	X
cana-4458	216	8	.	.	X
cana-4458	216	9	subrahmanyam	subrahmanyam	NOUN
cana-4458	216	10	,	,	PUNCT
cana-4458	216	11	k.	k.	PROPN
cana-4458	217	1	v.	v.	PROPN
cana-4458	217	2	,	,	PUNCT
cana-4458	217	3	cramsenthil	cramsenthil	PROPN
cana-4458	217	4	,	,	PUNCT
cana-4458	217	5	&	&	CCONJ
cana-4458	217	6	et	et	PROPN
cana-4458	217	7	al	al	PROPN
cana-4458	217	8	.	.	PROPN
cana-4458	217	9	(	(	PUNCT
cana-4458	217	10	2021	2021	NUM
cana-4458	217	11	)	)	PUNCT
cana-4458	217	12	.	.	PUNCT
cana-4458	218	1	prediction	prediction	NOUN
cana-4458	218	2	of	of	ADP
cana-4458	218	3	heavy	heavy	ADJ
cana-4458	218	4	rainfall	rainfall	NOUN
cana-4458	218	5	days	day	NOUN
cana-4458	218	6	over	over	ADP
cana-4458	218	7	a	a	DET
cana-4458	218	8	peninsular	peninsular	ADJ
cana-4458	218	9	indian	indian	ADJ
cana-4458	218	10	station	station	NOUN
cana-4458	218	11	using	use	VERB
cana-4458	218	12	machine	machine	NOUN
cana-4458	218	13	learning	learning	NOUN
cana-4458	218	14	algorithms	algorithm	NOUN
cana-4458	218	15	.	.	PUNCT
cana-4458	219	1	journal	journal	NOUN
cana-4458	219	2	of	of	ADP
cana-4458	219	3	earth	earth	NOUN
cana-4458	219	4	system	system	NOUN
cana-4458	219	5	science	science	NOUN
cana-4458	219	6	,	,	PUNCT
cana-4458	219	7	130(240	130(240	NUM
cana-4458	219	8	)	)	PUNCT
cana-4458	219	9	.	.	PUNCT
cana-4458	220	1	indian	indian	PROPN
cana-4458	220	2	academy	academy	PROPN
cana-4458	220	3	of	of	ADP
cana-4458	220	4	sciences	sciences	PROPN
cana-4458	220	5	.	.	PUNCT
cana-4458	221	1	3	3	X
cana-4458	221	2	.	.	X
cana-4458	221	3	alam	alam	PROPN
cana-4458	221	4	,	,	PUNCT
cana-4458	221	5	m.	m.	NOUN
cana-4458	221	6	a.	a.	PROPN
cana-4458	221	7	,	,	PUNCT
cana-4458	221	8	farnham	farnham	PROPN
cana-4458	221	9	,	,	PUNCT
cana-4458	221	10	c.	c.	PROPN
cana-4458	221	11	,	,	PUNCT
cana-4458	221	12	&	&	CCONJ
cana-4458	221	13	emura	emura	PROPN
cana-4458	221	14	,	,	PUNCT
cana-4458	221	15	k.	k.	PROPN
cana-4458	221	16	(	(	PUNCT
cana-4458	221	17	2018	2018	NUM
cana-4458	221	18	)	)	PUNCT
cana-4458	221	19	.	.	PUNCT
cana-4458	222	1	best	good	ADJ
cana-4458	222	2	-	-	PUNCT
cana-4458	222	3	fit	fit	ADJ
cana-4458	222	4	probability	probability	NOUN
cana-4458	222	5	models	model	NOUN
cana-4458	222	6	for	for	ADP
cana-4458	222	7	maximum	maximum	ADJ
cana-4458	222	8	monthly	monthly	ADJ
cana-4458	222	9	rainfall	rainfall	NOUN
cana-4458	222	10	in	in	ADP
cana-4458	222	11	bangladesh	bangladesh	NOUN
cana-4458	222	12	using	use	VERB
cana-4458	222	13	gaussian	gaussian	ADJ
cana-4458	222	14	distributions	distribution	NOUN
cana-4458	222	15	.	.	PUNCT
cana-4458	223	1	geosciences	geoscience	NOUN
cana-4458	223	2	,	,	PUNCT
cana-4458	223	3	8(4	8(4	NUM
cana-4458	223	4	)	)	PUNCT
cana-4458	223	5	,	,	PUNCT
cana-4458	223	6	138	138	NUM
cana-4458	223	7	.	.	NOUN
cana-4458	223	8	4	4	NUM
cana-4458	223	9	.	.	X
cana-4458	223	10	glasbey	glasbey	NOUN
cana-4458	223	11	,	,	PUNCT
cana-4458	223	12	c.	c.	PROPN
cana-4458	223	13	a.	a.	PROPN
cana-4458	223	14	,	,	PUNCT
cana-4458	223	15	&	&	CCONJ
cana-4458	223	16	nevison	nevison	PROPN
cana-4458	223	17	,	,	PUNCT
cana-4458	223	18	i.	i.	PROPN
cana-4458	223	19	m.	m.	PROPN
cana-4458	223	20	(	(	PUNCT
cana-4458	223	21	1997	1997	NUM
cana-4458	223	22	)	)	PUNCT
cana-4458	223	23	.	.	PUNCT
cana-4458	224	1	rainfall	rainfall	NOUN
cana-4458	224	2	modeling	modeling	NOUN
cana-4458	224	3	using	use	VERB
cana-4458	224	4	a	a	DET
cana-4458	224	5	latent	latent	ADJ
cana-4458	224	6	gaussian	gaussian	ADJ
cana-4458	224	7	variable	variable	NOUN
cana-4458	224	8	.	.	PUNCT
cana-4458	225	1	in	in	ADP
cana-4458	225	2	modelling	model	VERB
cana-4458	225	3	longitudinal	longitudinal	ADJ
cana-4458	225	4	and	and	CCONJ
cana-4458	225	5	spatially	spatially	ADV
cana-4458	225	6	correlated	correlate	VERB
cana-4458	225	7	data	datum	NOUN
cana-4458	225	8	(	(	PUNCT
cana-4458	225	9	pp	pp	ADJ
cana-4458	225	10	.	.	PUNCT
cana-4458	225	11	233	233	NUM
cana-4458	225	12	-	-	NUM
cana-4458	225	13	242	242	NUM
cana-4458	225	14	)	)	PUNCT
cana-4458	225	15	.	.	PUNCT
cana-4458	226	1	united	united	PROPN
cana-4458	226	2	kingdom	kingdom	PROPN
cana-4458	226	3	:	:	PUNCT
cana-4458	226	4	vol	vol	NOUN
cana-4458	226	5	122	122	NUM
cana-4458	226	6	.	.	PUNCT
cana-4458	227	1	5	5	NUM
cana-4458	227	2	.	.	X
cana-4458	227	3	mishra	mishra	PROPN
cana-4458	227	4	,	,	PUNCT
cana-4458	227	5	n.	n.	PROPN
cana-4458	227	6	,	,	PUNCT
cana-4458	227	7	&	&	CCONJ
cana-4458	227	8	kushwaha	kushwaha	PROPN
cana-4458	227	9	,	,	PUNCT
cana-4458	227	10	a.	a.	NOUN
cana-4458	227	11	(	(	PUNCT
cana-4458	227	12	2019	2019	NUM
cana-4458	227	13	)	)	PUNCT
cana-4458	227	14	.	.	PUNCT
cana-4458	228	1	rainfall	rainfall	NOUN
cana-4458	228	2	prediction	prediction	NOUN
cana-4458	228	3	using	use	VERB
cana-4458	228	4	gaussian	gaussian	ADJ
cana-4458	228	5	process	process	NOUN
cana-4458	228	6	regression	regression	NOUN
cana-4458	228	7	classifier	classifier	NOUN
cana-4458	228	8	.	.	PUNCT
cana-4458	229	1	international	international	ADJ
cana-4458	229	2	journal	journal	PROPN
cana-4458	229	3	of	of	ADP
cana-4458	229	4	advanced	advanced	ADJ
cana-4458	229	5	research	research	NOUN
cana-4458	229	6	in	in	ADP
cana-4458	229	7	computer	computer	NOUN
cana-4458	229	8	engineering	engineering	NOUN
cana-4458	229	9	&	&	CCONJ
cana-4458	229	10	technology	technology	PROPN
cana-4458	229	11	(	(	PUNCT
cana-4458	229	12	ijarcet	ijarcet	NOUN
cana-4458	229	13	)	)	PUNCT
cana-4458	229	14	,	,	PUNCT
cana-4458	229	15	8(8	8(8	NUM
cana-4458	229	16	)	)	PUNCT
cana-4458	229	17	,	,	PUNCT
cana-4458	229	18	issn	issn	PROPN
cana-4458	229	19	:	:	PUNCT
cana-4458	229	20	2278	2278	NUM
cana-4458	229	21	–	–	PUNCT
cana-4458	229	22	1323	1323	NUM
cana-4458	229	23	.	.	PUNCT
cana-4458	230	1	6	6	NUM
cana-4458	230	2	.	.	X
cana-4458	230	3	li	li	PROPN
cana-4458	230	4	,	,	PUNCT
cana-4458	230	5	z.	z.	PROPN
cana-4458	230	6	,	,	PUNCT
cana-4458	230	7	zhang	zhang	PROPN
cana-4458	230	8	,	,	PUNCT
cana-4458	230	9	y.	y.	PROPN
cana-4458	230	10	,	,	PUNCT
cana-4458	230	11	&	&	CCONJ
cana-4458	230	12	giangrande	giangrande	PROPN
cana-4458	230	13	,	,	PUNCT
cana-4458	230	14	s.	s.	PROPN
cana-4458	230	15	e.	e.	PROPN
cana-4458	230	16	(	(	PUNCT
cana-4458	230	17	2012	2012	NUM
cana-4458	230	18	)	)	PUNCT
cana-4458	230	19	.	.	PUNCT
cana-4458	231	1	rainfall	rainfall	NOUN
cana-4458	231	2	-	-	PUNCT
cana-4458	231	3	rate	rate	NOUN
cana-4458	231	4	estimation	estimation	NOUN
cana-4458	231	5	using	use	VERB
cana-4458	231	6	gaussian	gaussian	ADJ
cana-4458	231	7	parameter	parameter	NOUN
cana-4458	231	8	estimator	estimator	NOUN
cana-4458	231	9	:	:	PUNCT
cana-4458	231	10	training	training	NOUN
cana-4458	231	11	and	and	CCONJ
cana-4458	231	12	validation	validation	NOUN
cana-4458	231	13	.	.	PUNCT
cana-4458	232	1	journal	journal	NOUN
cana-4458	232	2	of	of	ADP
cana-4458	232	3	atmospheric	atmospheric	ADJ
cana-4458	232	4	and	and	CCONJ
cana-4458	232	5	oceanic	oceanic	ADJ
cana-4458	232	6	technology	technology	NOUN
cana-4458	232	7	,	,	PUNCT
cana-4458	232	8	29(5	29(5	NUM
cana-4458	232	9	)	)	PUNCT
cana-4458	232	10	,	,	PUNCT
cana-4458	232	11	01	01	NUM
cana-4458	232	12	may	may	PROPN
cana-4458	232	13	2012	2012	NUM
cana-4458	232	14	.	.	PUNCT
cana-4458	233	1	7	7	X
cana-4458	233	2	.	.	X
cana-4458	233	3	ayar	ayar	PROPN
cana-4458	233	4	,	,	PUNCT
cana-4458	233	5	p.	p.	NOUN
cana-4458	233	6	v.	v.	PROPN
cana-4458	233	7	,	,	PUNCT
cana-4458	233	8	blanchet	blanchet	PROPN
cana-4458	233	9	,	,	PUNCT
cana-4458	233	10	j.	j.	PROPN
cana-4458	233	11	,	,	PUNCT
cana-4458	233	12	paquet	paquet	PROPN
cana-4458	233	13	,	,	PUNCT
cana-4458	233	14	e.	e.	PROPN
cana-4458	233	15	,	,	PUNCT
cana-4458	233	16	&	&	CCONJ
cana-4458	233	17	penot	penot	PROPN
cana-4458	233	18	,	,	PUNCT
cana-4458	233	19	d.	d.	PROPN
cana-4458	233	20	(	(	PUNCT
cana-4458	233	21	2020	2020	NUM
cana-4458	233	22	)	)	PUNCT
cana-4458	233	23	.	.	PUNCT
cana-4458	234	1	space	space	NOUN
cana-4458	234	2	-	-	PUNCT
cana-4458	234	3	time	time	NOUN
cana-4458	234	4	simulation	simulation	NOUN
cana-4458	234	5	of	of	ADP
cana-4458	234	6	precipitation	precipitation	NOUN
cana-4458	234	7	based	base	VERB
cana-4458	234	8	on	on	ADP
cana-4458	234	9	weather	weather	NOUN
cana-4458	234	10	pattern	pattern	NOUN
cana-4458	234	11	sub	sub	ADJ
cana-4458	234	12	-	-	ADJ
cana-4458	234	13	sampling	sample	VERB
cana-4458	234	14	and	and	CCONJ
cana-4458	234	15	meta	meta	ADJ
cana-4458	234	16	-	-	PUNCT
cana-4458	234	17	gaussian	gaussian	ADJ
cana-4458	234	18	model	model	NOUN
cana-4458	234	19	.	.	PUNCT
cana-4458	235	1	journal	journal	PROPN
cana-4458	235	2	of	of	ADP
cana-4458	235	3	hydrology	hydrology	NOUN
cana-4458	235	4	,	,	PUNCT
cana-4458	235	5	581	581	NUM
cana-4458	235	6	,	,	PUNCT
cana-4458	235	7	124451	124451	NUM
cana-4458	235	8	.	.	PUNCT
cana-4458	236	1	8	8	NUM
cana-4458	236	2	.	.	X
cana-4458	236	3	ekerete	ekerete	PROPN
cana-4458	236	4	,	,	PUNCT
cana-4458	236	5	k.	k.	PROPN
cana-4458	236	6	m.	m.	PROPN
cana-4458	236	7	,	,	PUNCT
cana-4458	236	8	hunt	hunt	PROPN
cana-4458	236	9	,	,	PUNCT
cana-4458	236	10	f.	f.	PROPN
cana-4458	236	11	h.	h.	PROPN
cana-4458	236	12	,	,	PUNCT
cana-4458	236	13	jeffery	jeffery	PROPN
cana-4458	236	14	,	,	PUNCT
cana-4458	236	15	j.	j.	PROPN
cana-4458	236	16	l.	l.	PROPN
cana-4458	236	17	,	,	PUNCT
cana-4458	236	18	&	&	CCONJ
cana-4458	236	19	otung	otung	PROPN
cana-4458	236	20	,	,	PUNCT
cana-4458	236	21	i.	i.	PROPN
cana-4458	236	22	e.	e.	PROPN
cana-4458	236	23	(	(	PUNCT
cana-4458	236	24	2015	2015	NUM
cana-4458	236	25	)	)	PUNCT
cana-4458	236	26	.	.	PUNCT
cana-4458	237	1	modeling	model	VERB
cana-4458	237	2	rainfall	rainfall	NOUN
cana-4458	237	3	drop	drop	VERB
cana-4458	237	4	size	size	NOUN
cana-4458	237	5	distribution	distribution	NOUN
cana-4458	237	6	in	in	ADP
cana-4458	237	7	southern	southern	ADJ
cana-4458	237	8	england	england	PROPN
cana-4458	237	9	using	use	VERB
cana-4458	237	10	a	a	DET
cana-4458	237	11	gaussian	gaussian	ADJ
cana-4458	237	12	model	model	NOUN
cana-4458	237	13	.	.	PUNCT
cana-4458	238	1	radio	radio	NOUN
cana-4458	238	2	science	science	NOUN
cana-4458	238	3	,	,	PUNCT
cana-4458	238	4	50(9	50(9	NUM
cana-4458	238	5	)	)	PUNCT
cana-4458	238	6	,	,	PUNCT
cana-4458	238	7	853	853	NUM
cana-4458	238	8	-	-	SYM
cana-4458	238	9	957	957	NUM
cana-4458	238	10	.	.	NOUN
cana-4458	239	1	9	9	NUM
cana-4458	239	2	.	.	X
cana-4458	239	3	kwon	kwon	PROPN
cana-4458	239	4	,	,	PUNCT
cana-4458	239	5	m.	m.	NOUN
cana-4458	239	6	,	,	PUNCT
cana-4458	239	7	kwon	kwon	PROPN
cana-4458	239	8	,	,	PUNCT
cana-4458	239	9	h.	h.	PROPN
cana-4458	239	10	h.	h.	PROPN
cana-4458	239	11	,	,	PUNCT
cana-4458	239	12	&	&	CCONJ
cana-4458	239	13	han	han	PROPN
cana-4458	239	14	,	,	PUNCT
cana-4458	239	15	d.	d.	PROPN
cana-4458	239	16	(	(	PUNCT
cana-4458	239	17	2018	2018	NUM
cana-4458	239	18	)	)	PUNCT
cana-4458	239	19	.	.	PUNCT
cana-4458	240	1	a	a	DET
cana-4458	240	2	spatial	spatial	ADJ
cana-4458	240	3	downscaling	downscaling	NOUN
cana-4458	240	4	of	of	ADP
cana-4458	240	5	soil	soil	NOUN
cana-4458	240	6	moisture	moisture	NOUN
cana-4458	240	7	from	from	ADP
cana-4458	240	8	rainfall	rainfall	NOUN
cana-4458	240	9	,	,	PUNCT
cana-4458	240	10	temperature	temperature	NOUN
cana-4458	240	11	,	,	PUNCT
cana-4458	240	12	and	and	CCONJ
cana-4458	240	13	amsr2	amsr2	NOUN
cana-4458	240	14	using	use	VERB
cana-4458	240	15	a	a	DET
cana-4458	240	16	gaussiannonstationary	gaussiannonstationary	ADJ
cana-4458	240	17	hidden	hide	VERB
cana-4458	240	18	markov	markov	NOUN
cana-4458	240	19	model	model	NOUN
cana-4458	240	20	.	.	PUNCT
cana-4458	241	1	journal	journal	PROPN
cana-4458	241	2	of	of	ADP
cana-4458	241	3	hydrology	hydrology	NOUN
cana-4458	241	4	,	,	PUNCT
cana-4458	241	5	564	564	NUM
cana-4458	241	6	,	,	PUNCT
cana-4458	241	7	1194	1194	NUM
cana-4458	241	8	-	-	SYM
cana-4458	241	9	1207	1207	NUM
cana-4458	241	10	.	.	PUNCT
cana-4458	242	1	10	10	NUM
cana-4458	242	2	.	.	PUNCT
cana-4458	243	1	hussein	hussein	PROPN
cana-4458	243	2	,	,	PUNCT
cana-4458	243	3	a.	a.	PROPN
cana-4458	243	4	,	,	PUNCT
cana-4458	243	5	&	&	CCONJ
cana-4458	243	6	kadhem	kadhem	PROPN
cana-4458	243	7	,	,	PUNCT
cana-4458	243	8	s.	s.	PROPN
cana-4458	243	9	k.	k.	PROPN
cana-4458	243	10	(	(	PUNCT
cana-4458	243	11	2022	2022	NUM
cana-4458	243	12	)	)	PUNCT
cana-4458	243	13	.	.	PUNCT
cana-4458	244	1	spatialmodeling	spatialmodele	VERB
cana-4458	244	2	for	for	ADP
cana-4458	244	3	analyzing	analyze	VERB
cana-4458	244	4	a	a	DET
cana-4458	244	5	rainfall	rainfall	NOUN
cana-4458	244	6	pattern	pattern	NOUN
cana-4458	244	7	:	:	PUNCT
cana-4458	244	8	a	a	DET
cana-4458	244	9	case	case	NOUN
cana-4458	244	10	study	study	NOUN
cana-4458	244	11	in	in	ADP
cana-4458	244	12	ireland	ireland	PROPN
cana-4458	244	13	.	.	PUNCT
cana-4458	245	1	open	open	ADJ
cana-4458	245	2	engineering	engineering	NOUN
cana-4458	245	3	,	,	PUNCT
cana-4458	245	4	12	12	NUM
cana-4458	245	5	,	,	PUNCT
cana-4458	245	6	204	204	NUM
cana-4458	245	7	-	-	SYM
cana-4458	245	8	214	214	NUM
cana-4458	245	9	.	.	PUNCT
cana-4458	246	1	de	de	X
cana-4458	246	2	gruyter	gruyter	NOUN
cana-4458	246	3	.	.	PUNCT
cana-4458	247	1	11	11	NUM
cana-4458	247	2	.	.	X
cana-4458	247	3	ly	ly	PROPN
cana-4458	247	4	,	,	PUNCT
cana-4458	247	5	s.	s.	PROPN
cana-4458	247	6	,	,	PUNCT
cana-4458	247	7	charles	charles	PROPN
cana-4458	247	8	,	,	PUNCT
cana-4458	247	9	c.	c.	PROPN
cana-4458	247	10	,	,	PUNCT
cana-4458	247	11	&	&	CCONJ
cana-4458	247	12	degré	degré	PROPN
cana-4458	247	13	,	,	PUNCT
cana-4458	247	14	a.	a.	NOUN
cana-4458	247	15	(	(	PUNCT
cana-4458	247	16	2011	2011	NUM
cana-4458	247	17	)	)	PUNCT
cana-4458	247	18	.	.	PUNCT
cana-4458	248	1	geostatistical	geostatistical	ADJ
cana-4458	248	2	interpolation	interpolation	NOUN
cana-4458	248	3	of	of	ADP
cana-4458	248	4	daily	daily	ADJ
cana-4458	248	5	rainfall	rainfall	NOUN
cana-4458	248	6	at	at	ADP
cana-4458	248	7	catchment	catchment	NOUN
cana-4458	248	8	scale	scale	NOUN
cana-4458	248	9	:	:	PUNCT
cana-4458	248	10	the	the	DET
cana-4458	248	11	use	use	NOUN
cana-4458	248	12	of	of	ADP
cana-4458	248	13	several	several	ADJ
cana-4458	248	14	variogram	variogram	NOUN
cana-4458	248	15	models	model	NOUN
cana-4458	248	16	in	in	ADP
cana-4458	248	17	the	the	DET
cana-4458	248	18	ourthe	ourthe	ADJ
cana-4458	248	19	and	and	CCONJ
cana-4458	248	20	ambleve	ambleve	ADJ
cana-4458	248	21	catchments	catchment	NOUN
cana-4458	248	22	,	,	PUNCT
cana-4458	248	23	belgium	belgium	NOUN
cana-4458	248	24	.	.	PUNCT
cana-4458	249	1	hess	hess	PROPN
cana-4458	249	2	,	,	PUNCT
cana-4458	249	3	15(7	15(7	NUM
cana-4458	249	4	)	)	PUNCT
cana-4458	249	5	,	,	PUNCT
cana-4458	249	6	2259	2259	NUM
cana-4458	249	7	-	-	SYM
cana-4458	249	8	2274	2274	NUM
cana-4458	249	9	.	.	PUNCT
cana-4458	250	1	european	european	ADJ
cana-4458	250	2	geosciences	geosciences	PROPN
cana-4458	250	3	union	union	PROPN
cana-4458	250	4	hydrology	hydrology	NOUN
cana-4458	250	5	and	and	CCONJ
cana-4458	250	6	earth	earth	NOUN
cana-4458	250	7	system	system	NOUN
cana-4458	250	8	sciences	science	NOUN
cana-4458	250	9	.	.	PUNCT
cana-4458	251	1	12	12	NUM
cana-4458	251	2	.	.	PUNCT
cana-4458	252	1	kokila	kokila	PROPN
cana-4458	252	2	ramesh	ramesh	PROPN
cana-4458	252	3	and	and	CCONJ
cana-4458	252	4	r.n.iyengar	r.n.iyengar	PROPN
cana-4458	252	5	(	(	PUNCT
cana-4458	252	6	2017	2017	NUM
cana-4458	252	7	)	)	PUNCT
cana-4458	252	8	.	.	PUNCT
cana-4458	253	1	a	a	DET
cana-4458	253	2	non	non	ADJ
cana-4458	253	3	-	-	ADJ
cana-4458	253	4	gaussian	gaussian	ADJ
cana-4458	253	5	model	model	NOUN
cana-4458	253	6	for	for	ADP
cana-4458	253	7	indian	indian	ADJ
cana-4458	253	8	monsoon	monsoon	NOUN
cana-4458	253	9	rainfall	rainfall	NOUN
cana-4458	253	10	,	,	PUNCT
cana-4458	253	11	international	international	ADJ
cana-4458	253	12	journal	journal	NOUN
cana-4458	253	13	of	of	ADP
cana-4458	253	14	research	research	NOUN
cana-4458	253	15	–	–	PUNCT
cana-4458	253	16	granthaalayah	granthaalayah	NOUN
cana-4458	253	17	.	.	PUNCT
cana-4458	254	1	vol.5	vol.5	ADV
cana-4458	254	2	(	(	PUNCT
cana-4458	254	3	iss.4	iss.4	NOUN
cana-4458	254	4	:	:	PUNCT
cana-4458	254	5	rast	rast	PROPN
cana-4458	254	6	)	)	PUNCT
cana-4458	254	7	,	,	PUNCT
cana-4458	254	8	issn23500530(o	issn23500530(o	ADJ
cana-4458	254	9	)	)	PUNCT
cana-4458	254	10	,	,	PUNCT
cana-4458	254	11	issn2394	issn2394	PROPN
cana-4458	254	12	-	-	PUNCT
cana-4458	254	13	3629(p	3629(p	NUM
cana-4458	254	14	)	)	PUNCT
cana-4458	254	15	.	.	PUNCT
cana-4458	255	1	13	13	NUM
cana-4458	255	2	.	.	PUNCT
cana-4458	256	1	kokila	kokila	PROPN
cana-4458	256	2	ramesh	ramesh	PROPN
cana-4458	256	3	,	,	PUNCT
cana-4458	256	4	&	&	CCONJ
cana-4458	256	5	kumudha	kumudha	PROPN
cana-4458	256	6	,	,	PUNCT
cana-4458	256	7	h.	h.	PROPN
cana-4458	256	8	r.	r.	PROPN
cana-4458	256	9	(	(	PUNCT
cana-4458	256	10	2019	2019	NUM
cana-4458	256	11	)	)	PUNCT
cana-4458	256	12	.	.	PUNCT
cana-4458	257	1	a	a	DET
cana-4458	257	2	review	review	NOUN
cana-4458	257	3	on	on	ADP
cana-4458	257	4	forecasting	forecast	VERB
cana-4458	257	5	indian	indian	ADJ
cana-4458	257	6	monsoon	monsoon	NOUN
cana-4458	257	7	rainfall	rainfall	NOUN
cana-4458	257	8	,	,	PUNCT
cana-4458	257	9	international	international	ADJ
cana-4458	257	10	journal	journal	NOUN
cana-4458	257	11	of	of	ADP
cana-4458	257	12	innovative	innovative	ADJ
cana-4458	257	13	science	science	NOUN
cana-4458	257	14	and	and	CCONJ
cana-4458	257	15	research	research	NOUN
cana-4458	257	16	technology	technology	NOUN
cana-4458	257	17	,	,	PUNCT
cana-4458	257	18	special	special	ADJ
cana-4458	257	19	issue(aam	issue(aam	NOUN
cana-4458	257	20	2019	2019	NUM
cana-4458	257	21	)	)	PUNCT
cana-4458	257	22	,	,	PUNCT
cana-4458	257	23	9	9	NUM
cana-4458	257	24	–	–	SYM
cana-4458	257	25	14	14	NUM
cana-4458	257	26	.	.	X
cana-4458	257	27	14	14	NUM
cana-4458	257	28	.	.	PUNCT
cana-4458	258	1	kokila	kokila	PROPN
cana-4458	258	2	ramesh	ramesh	PROPN
cana-4458	258	3	,	,	PUNCT
cana-4458	258	4	&	&	CCONJ
cana-4458	258	5	iyengar	iyengar	PROPN
cana-4458	258	6	,	,	PUNCT
cana-4458	258	7	r.	r.	PROPN
cana-4458	258	8	n.	n.	PROPN
cana-4458	258	9	(	(	PUNCT
cana-4458	258	10	2017	2017	NUM
cana-4458	258	11	)	)	PUNCT
cana-4458	258	12	.	.	PUNCT
cana-4458	259	1	forecasting	forecast	VERB
cana-4458	259	2	indian	indian	ADJ
cana-4458	259	3	monsoon	monsoon	NOUN
cana-4458	259	4	rainfall	rainfall	NOUN
cana-4458	259	5	including	include	VERB
cana-4458	259	6	within	within	ADP
cana-4458	259	7	year	year	NOUN
cana-4458	259	8	seasonal	seasonal	ADJ
cana-4458	259	9	variability	variability	NOUN
cana-4458	259	10	.	.	PUNCT
cana-4458	260	1	international	international	ADJ
cana-4458	260	2	journal	journal	NOUN
cana-4458	260	3	of	of	ADP
cana-4458	260	4	civil	civil	ADJ
cana-4458	260	5	engineering	engineering	NOUN
cana-4458	260	6	and	and	CCONJ
cana-4458	260	7	technology	technology	NOUN
cana-4458	260	8	(	(	PUNCT
cana-4458	260	9	ijciet	ijciet	PROPN
cana-4458	260	10	)	)	PUNCT
cana-4458	260	11	,	,	PUNCT
cana-4458	260	12	8(2	8(2	NUM
cana-4458	260	13	)	)	PUNCT
cana-4458	260	14	,	,	PUNCT
cana-4458	260	15	390–399	390–399	NUM
cana-4458	260	16	.	.	PUNCT
cana-4458	260	17	15	15	NUM
cana-4458	260	18	.	.	PUNCT
cana-4458	261	1	kumudha	kumudha	PROPN
cana-4458	261	2	h.	h.	PROPN
cana-4458	261	3	r	r	PROPN
cana-4458	261	4	,	,	PUNCT
cana-4458	261	5	&	&	CCONJ
cana-4458	261	6	kokila	kokila	PROPN
cana-4458	261	7	ramesh	ramesh	PROPN
cana-4458	261	8	.	.	PUNCT
cana-4458	262	1	(	(	PUNCT
cana-4458	262	2	2023	2023	NUM
cana-4458	262	3	)	)	PUNCT
cana-4458	262	4	.	.	PUNCT
cana-4458	263	1	forecasting	forecasting	NOUN
cana-4458	263	2	of	of	ADP
cana-4458	263	3	karnataka	karnataka	PROPN
cana-4458	263	4	seasons	season	NOUN
cana-4458	263	5	rainfall	rainfall	NOUN
cana-4458	263	6	data	datum	NOUN
cana-4458	263	7	using	use	VERB
cana-4458	263	8	ann	ann	PROPN
cana-4458	263	9	approach	approach	NOUN
cana-4458	263	10	.	.	PUNCT
cana-4458	264	1	journal	journal	PROPN
cana-4458	264	2	of	of	ADP
cana-4458	264	3	survey	survey	NOUN
cana-4458	264	4	in	in	ADP
cana-4458	264	5	fisheries	fishery	NOUN
cana-4458	264	6	sciences	science	NOUN
cana-4458	264	7	,	,	PUNCT
cana-4458	264	8	10(1s	10(1s	NUM
cana-4458	264	9	)	)	PUNCT
cana-4458	264	10	3431	3431	NUM
cana-4458	264	11	-	-	SYM
cana-4458	264	12	3448	3448	NUM
cana-4458	264	13	.	.	PUNCT
cana-4458	265	1	16	16	NUM
cana-4458	265	2	.	.	PUNCT
cana-4458	266	1	bennihalla	bennihalla	PROPN
cana-4458	266	2	basin	basin	PROPN
cana-4458	266	3	study	study	NOUN
cana-4458	266	4	(	(	PUNCT
cana-4458	266	5	2019	2019	NUM
cana-4458	266	6	)	)	PUNCT
cana-4458	266	7	.	.	PUNCT
cana-4458	267	1	flood	flood	NOUN
cana-4458	267	2	hazard	hazard	NOUN
cana-4458	267	3	zonation	zonation	NOUN
cana-4458	267	4	mapping	mapping	NOUN
cana-4458	267	5	using	use	VERB
cana-4458	267	6	geoinformatics	geoinformatic	NOUN
cana-4458	267	7	technology	technology	NOUN
cana-4458	267	8	:	:	PUNCT
cana-4458	267	9	gadag	gadag	PROPN
cana-4458	267	10	and	and	CCONJ
cana-4458	267	11	dharwad	dharwad	NOUN
cana-4458	267	12	districts	district	NOUN
cana-4458	267	13	,	,	PUNCT
cana-4458	267	14	karnataka	karnataka	PROPN
cana-4458	267	15	.	.	PUNCT
cana-4458	268	1	international	international	ADJ
cana-4458	268	2	journal	journal	PROPN
cana-4458	268	3	of	of	ADP
cana-4458	268	4	geomatics	geomatics	PROPN
cana-4458	268	5	and	and	CCONJ
cana-4458	268	6	geosciences	geoscience	NOUN
cana-4458	268	7	,	,	PUNCT
cana-4458	268	8	10(2	10(2	NUM
cana-4458	268	9	)	)	PUNCT
cana-4458	268	10	,	,	PUNCT
cana-4458	268	11	65	65	NUM
cana-4458	268	12	-	-	SYM
cana-4458	268	13	78	78	NUM
cana-4458	268	14	.	.	PUNCT