id	sid	tid	token	lemma	pos
cana-5927	1	1	communications	communication	NOUN
cana-5927	1	2	on	on	ADP
cana-5927	1	3	applied	apply	VERB
cana-5927	1	4	nonlinear	nonlinear	ADJ
cana-5927	1	5	analysis	analysis	NOUN
cana-5927	1	6	issn	issn	NOUN
cana-5927	1	7	:	:	PUNCT
cana-5927	1	8	1074	1074	NUM
cana-5927	1	9	-	-	PUNCT
cana-5927	1	10	133x	133x	NUM
cana-5927	1	11	vol	vol	VERB
cana-5927	1	12	32	32	NUM
cana-5927	1	13	no	no	NOUN
cana-5927	1	14	.	.	PUNCT
cana-5927	2	1	10s	10	NOUN
cana-5927	2	2	(	(	PUNCT
cana-5927	2	3	2025	2025	NUM
cana-5927	2	4	)	)	PUNCT
cana-5927	2	5	3062	3062	NUM
cana-5927	3	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5927	3	2	bayesian	bayesian	NOUN
cana-5927	3	3	bonus	bonus	NOUN
cana-5927	3	4	-	-	PUNCT
cana-5927	3	5	malus	malus	NOUN
cana-5927	3	6	premiums	premium	NOUN
cana-5927	3	7	under	under	ADP
cana-5927	3	8	different	different	ADJ
cana-5927	3	9	loss	loss	NOUN
cana-5927	3	10	functions	function	NOUN
cana-5927	3	11	in	in	ADP
cana-5927	3	12	car	car	NOUN
cana-5927	3	13	insurance	insurance	NOUN
cana-5927	3	14	ouchen	ouchen	ADV
cana-5927	3	15	imene1	imene1	PROPN
cana-5927	3	16	,	,	PUNCT
cana-5927	3	17	sadoun	sadoun	VERB
cana-5927	3	18	ahmed1	ahmed1	NOUN
cana-5927	3	19	and	and	CCONJ
cana-5927	3	20	remita	remita	PROPN
cana-5927	3	21	mohamed	mohame	VERB
cana-5927	4	1	riad1,2	riad1,2	PROPN
cana-5927	4	2	1laps	1laps	PROPN
cana-5927	4	3	laboratory	laboratory	NOUN
cana-5927	4	4	,	,	PUNCT
cana-5927	4	5	badji	badji	PROPN
cana-5927	4	6	mokhtar	mokhtar	PROPN
cana-5927	4	7	-	-	PUNCT
cana-5927	4	8	annaba	annaba	PROPN
cana-5927	4	9	university	university	PROPN
cana-5927	4	10	,	,	PUNCT
cana-5927	4	11	bp	bp	PROPN
cana-5927	4	12	12	12	NUM
cana-5927	4	13	,	,	PUNCT
cana-5927	4	14	23000	23000	NUM
cana-5927	4	15	,	,	PUNCT
cana-5927	4	16	annaba	annaba	PROPN
cana-5927	4	17	,	,	PUNCT
cana-5927	4	18	algeria	algeria	PROPN
cana-5927	4	19	imene.ouchen@univ-annaba.dz	imene.ouchen@univ-annaba.dz	PROPN
cana-5927	4	20	,	,	PUNCT
cana-5927	4	21	ahmed.sadoun@univ-annaba.dz	ahmed.sadoun@univ-annaba.dz	PROPN
cana-5927	4	22	2national	2national	NUM
cana-5927	4	23	school	school	NOUN
cana-5927	4	24	of	of	ADP
cana-5927	4	25	artificial	artificial	ADJ
cana-5927	4	26	intelligence	intelligence	NOUN
cana-5927	4	27	,	,	PUNCT
cana-5927	4	28	algiers	algiers	PROPN
cana-5927	4	29	,	,	PUNCT
cana-5927	4	30	algeria	algeria	PROPN
cana-5927	4	31	.	.	PUNCT
cana-5927	5	1	riad.remita@ensia.edu.dz	riad.remita@ensia.edu.dz	NOUN
cana-5927	5	2	article	article	NOUN
cana-5927	5	3	history	history	NOUN
cana-5927	5	4	:	:	PUNCT
cana-5927	5	5	received	receive	VERB
cana-5927	5	6	:	:	PUNCT
cana-5927	5	7	02	02	NUM
cana-5927	5	8	-	-	PUNCT
cana-5927	5	9	01	01	NUM
cana-5927	5	10	-	-	PUNCT
cana-5927	5	11	2025	2025	NUM
cana-5927	5	12	revised	revise	VERB
cana-5927	5	13	:	:	PUNCT
cana-5927	5	14	25	25	NUM
cana-5927	5	15	-	-	PUNCT
cana-5927	5	16	02	02	NUM
cana-5927	5	17	-	-	PUNCT
cana-5927	5	18	2025	2025	NUM
cana-5927	5	19	accepted	accept	VERB
cana-5927	5	20	:	:	PUNCT
cana-5927	5	21	20	20	NUM
cana-5927	5	22	-	-	SYM
cana-5927	5	23	03	03	NUM
cana-5927	5	24	-	-	PUNCT
cana-5927	5	25	2025	2025	NUM
cana-5927	5	26	abstract	abstract	NOUN
cana-5927	5	27	—	—	PUNCT
cana-5927	5	28	in	in	ADP
cana-5927	5	29	the	the	DET
cana-5927	5	30	traditional	traditional	ADJ
cana-5927	5	31	bonus	bonus	NOUN
cana-5927	5	32	-	-	PUNCT
cana-5927	5	33	malus	malus	NOUN
cana-5927	5	34	system	system	NOUN
cana-5927	5	35	,	,	PUNCT
cana-5927	5	36	automobile	automobile	NOUN
cana-5927	5	37	insurance	insurance	NOUN
cana-5927	5	38	premiums	premium	NOUN
cana-5927	5	39	are	be	AUX
cana-5927	5	40	typically	typically	ADV
cana-5927	5	41	calculated	calculate	VERB
cana-5927	5	42	based	base	VERB
cana-5927	5	43	solely	solely	ADV
cana-5927	5	44	on	on	ADP
cana-5927	5	45	claim	claim	NOUN
cana-5927	5	46	frequency	frequency	NOUN
cana-5927	5	47	.	.	PUNCT
cana-5927	6	1	this	this	DET
cana-5927	6	2	study	study	NOUN
cana-5927	6	3	introduces	introduce	VERB
cana-5927	6	4	an	an	DET
cana-5927	6	5	alternative	alternative	ADJ
cana-5927	6	6	approach	approach	NOUN
cana-5927	6	7	,	,	PUNCT
cana-5927	6	8	incorporating	incorporate	VERB
cana-5927	6	9	both	both	DET
cana-5927	6	10	claim	claim	NOUN
cana-5927	6	11	frequency	frequency	NOUN
cana-5927	6	12	and	and	CCONJ
cana-5927	6	13	claim	claim	VERB
cana-5927	6	14	severity	severity	NOUN
cana-5927	6	15	into	into	ADP
cana-5927	6	16	the	the	DET
cana-5927	6	17	determination	determination	NOUN
cana-5927	6	18	of	of	ADP
cana-5927	6	19	premiums	premium	NOUN
cana-5927	6	20	.	.	PUNCT
cana-5927	7	1	furthermore	furthermore	ADV
cana-5927	7	2	,	,	PUNCT
cana-5927	7	3	the	the	DET
cana-5927	7	4	research	research	NOUN
cana-5927	7	5	explores	explore	VERB
cana-5927	7	6	the	the	DET
cana-5927	7	7	premiums	premium	NOUN
cana-5927	7	8	under	under	ADP
cana-5927	7	9	various	various	ADJ
cana-5927	7	10	loss	loss	NOUN
cana-5927	7	11	functions	function	NOUN
cana-5927	7	12	,	,	PUNCT
cana-5927	7	13	including	include	VERB
cana-5927	7	14	quadratic	quadratic	ADJ
cana-5927	7	15	,	,	PUNCT
cana-5927	7	16	linex	linex	ADV
cana-5927	7	17	,	,	PUNCT
cana-5927	7	18	and	and	CCONJ
cana-5927	7	19	entropy	entropy	PROPN
cana-5927	7	20	,	,	PUNCT
cana-5927	7	21	applied	apply	VERB
cana-5927	7	22	to	to	ADP
cana-5927	7	23	both	both	CCONJ
cana-5927	7	24	frequency	frequency	NOUN
cana-5927	7	25	and	and	CCONJ
cana-5927	7	26	severity	severity	NOUN
cana-5927	7	27	.	.	PUNCT
cana-5927	8	1	the	the	DET
cana-5927	8	2	bayesian	bayesian	NOUN
cana-5927	8	3	approach	approach	NOUN
cana-5927	8	4	is	be	AUX
cana-5927	8	5	employed	employ	VERB
cana-5927	8	6	to	to	PART
cana-5927	8	7	compute	compute	VERB
cana-5927	8	8	the	the	DET
cana-5927	8	9	bonusmalus	bonusmalus	ADJ
cana-5927	8	10	premiums	premium	NOUN
cana-5927	8	11	.	.	PUNCT
cana-5927	9	1	additionally	additionally	ADV
cana-5927	9	2	,	,	PUNCT
cana-5927	9	3	this	this	DET
cana-5927	9	4	work	work	NOUN
cana-5927	9	5	relies	rely	VERB
cana-5927	9	6	on	on	ADP
cana-5927	9	7	the	the	DET
cana-5927	9	8	r	r	NOUN
cana-5927	9	9	program	program	NOUN
cana-5927	9	10	to	to	PART
cana-5927	9	11	provide	provide	VERB
cana-5927	9	12	a	a	DET
cana-5927	9	13	numerical	numerical	ADJ
cana-5927	9	14	application	application	NOUN
cana-5927	9	15	based	base	VERB
cana-5927	9	16	on	on	ADP
cana-5927	9	17	a	a	DET
cana-5927	9	18	real	real	ADJ
cana-5927	9	19	automobile	automobile	NOUN
cana-5927	9	20	insurance	insurance	NOUN
cana-5927	9	21	dataset	dataset	NOUN
cana-5927	9	22	.	.	PUNCT
cana-5927	10	1	by	by	ADP
cana-5927	10	2	incorporating	incorporate	VERB
cana-5927	10	3	diverse	diverse	ADJ
cana-5927	10	4	loss	loss	NOUN
cana-5927	10	5	functions	function	NOUN
cana-5927	10	6	,	,	PUNCT
cana-5927	10	7	this	this	DET
cana-5927	10	8	approach	approach	NOUN
cana-5927	10	9	aims	aim	VERB
cana-5927	10	10	to	to	PART
cana-5927	10	11	enhance	enhance	VERB
cana-5927	10	12	flexibility	flexibility	NOUN
cana-5927	10	13	,	,	PUNCT
cana-5927	10	14	achieve	achieve	VERB
cana-5927	10	15	balance	balance	NOUN
cana-5927	10	16	,	,	PUNCT
cana-5927	10	17	and	and	CCONJ
cana-5927	10	18	provide	provide	VERB
cana-5927	10	19	greater	great	ADJ
cana-5927	10	20	control	control	NOUN
cana-5927	10	21	over	over	ADP
cana-5927	10	22	premiums	premium	NOUN
cana-5927	10	23	,	,	PUNCT
cana-5927	10	24	all	all	PRON
cana-5927	10	25	while	while	SCONJ
cana-5927	10	26	ensuring	ensure	VERB
cana-5927	10	27	the	the	DET
cana-5927	10	28	solvency	solvency	NOUN
cana-5927	10	29	of	of	ADP
cana-5927	10	30	the	the	DET
cana-5927	10	31	insurance	insurance	NOUN
cana-5927	10	32	company	company	NOUN
cana-5927	10	33	.	.	PUNCT
cana-5927	11	1	1	1	X
cana-5927	11	2	.	.	X
cana-5927	11	3	introduction	introduction	NOUN
cana-5927	11	4	in	in	ADP
cana-5927	11	5	actuarial	actuarial	ADJ
cana-5927	11	6	science	science	NOUN
cana-5927	11	7	,	,	PUNCT
cana-5927	11	8	a	a	DET
cana-5927	11	9	key	key	ADJ
cana-5927	11	10	responsibility	responsibility	NOUN
cana-5927	11	11	involves	involve	VERB
cana-5927	11	12	designing	design	VERB
cana-5927	11	13	a	a	DET
cana-5927	11	14	pricing	pricing	NOUN
cana-5927	11	15	framework	framework	NOUN
cana-5927	11	16	that	that	PRON
cana-5927	11	17	fairly	fairly	ADV
cana-5927	11	18	distributes	distribute	VERB
cana-5927	11	19	the	the	DET
cana-5927	11	20	burden	burden	NOUN
cana-5927	11	21	of	of	ADP
cana-5927	11	22	claims	claim	NOUN
cana-5927	11	23	among	among	ADP
cana-5927	11	24	insured	insured	ADJ
cana-5927	11	25	individuals	individual	NOUN
cana-5927	11	26	.	.	PUNCT
cana-5927	12	1	this	this	PRON
cana-5927	12	2	is	be	AUX
cana-5927	12	3	achieved	achieve	VERB
cana-5927	12	4	by	by	ADP
cana-5927	12	5	using	use	VERB
cana-5927	12	6	the	the	DET
cana-5927	12	7	most	most	ADV
cana-5927	12	8	appropriate	appropriate	ADJ
cana-5927	12	9	models	model	NOUN
cana-5927	12	10	to	to	PART
cana-5927	12	11	calculate	calculate	VERB
cana-5927	12	12	insurance	insurance	NOUN
cana-5927	12	13	premiums	premium	NOUN
cana-5927	12	14	.	.	PUNCT
cana-5927	13	1	one	one	NUM
cana-5927	13	2	such	such	ADJ
cana-5927	13	3	method	method	NOUN
cana-5927	13	4	is	be	AUX
cana-5927	13	5	the	the	DET
cana-5927	13	6	bonus	bonus	NOUN
cana-5927	13	7	-	-	PUNCT
cana-5927	13	8	malus	malus	NOUN
cana-5927	13	9	system	system	NOUN
cana-5927	13	10	(	(	PUNCT
cana-5927	13	11	bms	bms	PROPN
cana-5927	13	12	)	)	PUNCT
cana-5927	13	13	,	,	PUNCT
cana-5927	13	14	which	which	PRON
cana-5927	13	15	adjusts	adjust	VERB
cana-5927	13	16	premiums	premium	NOUN
cana-5927	13	17	based	base	VERB
cana-5927	13	18	on	on	ADP
cana-5927	13	19	an	an	DET
cana-5927	13	20	individual	individual	NOUN
cana-5927	13	21	’s	’s	PART
cana-5927	13	22	claim	claim	NOUN
cana-5927	13	23	history	history	NOUN
cana-5927	13	24	.	.	PUNCT
cana-5927	14	1	it	it	PRON
cana-5927	14	2	is	be	AUX
cana-5927	14	3	widely	widely	ADV
cana-5927	14	4	implemented	implement	VERB
cana-5927	14	5	,	,	PUNCT
cana-5927	14	6	particularly	particularly	ADV
cana-5927	14	7	in	in	ADP
cana-5927	14	8	automobile	automobile	NOUN
cana-5927	14	9	insurance	insurance	NOUN
cana-5927	14	10	,	,	PUNCT
cana-5927	14	11	to	to	PART
cana-5927	14	12	ensure	ensure	VERB
cana-5927	14	13	that	that	SCONJ
cana-5927	14	14	all	all	DET
cana-5927	14	15	policyholders	policyholder	NOUN
cana-5927	14	16	pay	pay	VERB
cana-5927	14	17	premiums	premium	NOUN
cana-5927	14	18	commensurate	commensurate	ADJ
cana-5927	14	19	with	with	ADP
cana-5927	14	20	their	their	PRON
cana-5927	14	21	risk	risk	NOUN
cana-5927	14	22	levels	level	NOUN
cana-5927	14	23	.	.	PUNCT
cana-5927	15	1	safe	safe	ADJ
cana-5927	15	2	driving	driving	NOUN
cana-5927	15	3	without	without	ADP
cana-5927	15	4	claims	claim	NOUN
cana-5927	15	5	results	result	NOUN
cana-5927	15	6	in	in	ADP
cana-5927	15	7	a	a	DET
cana-5927	15	8	premium	premium	NOUN
cana-5927	15	9	reduction	reduction	NOUN
cana-5927	15	10	as	as	ADP
cana-5927	15	11	a	a	DET
cana-5927	15	12	reward	reward	NOUN
cana-5927	15	13	,	,	PUNCT
cana-5927	15	14	whereas	whereas	SCONJ
cana-5927	15	15	a	a	DET
cana-5927	15	16	reported	report	VERB
cana-5927	15	17	incident	incident	NOUN
cana-5927	15	18	leads	lead	VERB
cana-5927	15	19	to	to	ADP
cana-5927	15	20	a	a	DET
cana-5927	15	21	premium	premium	NOUN
cana-5927	15	22	increase	increase	NOUN
cana-5927	15	23	.	.	PUNCT
cana-5927	16	1	the	the	DET
cana-5927	16	2	bms	bms	PROPN
cana-5927	16	3	serves	serve	VERB
cana-5927	16	4	two	two	NUM
cana-5927	16	5	primary	primary	ADJ
cana-5927	16	6	purposes	purpose	NOUN
cana-5927	16	7	for	for	ADP
cana-5927	16	8	insurance	insurance	NOUN
cana-5927	16	9	companies	company	NOUN
cana-5927	16	10	.	.	PUNCT
cana-5927	17	1	first	first	ADV
cana-5927	17	2	,	,	PUNCT
cana-5927	17	3	it	it	PRON
cana-5927	17	4	encourages	encourage	VERB
cana-5927	17	5	policyholders	policyholder	NOUN
cana-5927	17	6	to	to	PART
cana-5927	17	7	operate	operate	VERB
cana-5927	17	8	their	their	PRON
cana-5927	17	9	vehicles	vehicle	NOUN
cana-5927	17	10	more	more	ADV
cana-5927	17	11	carefully	carefully	ADV
cana-5927	17	12	throughout	throughout	ADP
cana-5927	17	13	the	the	DET
cana-5927	17	14	year	year	NOUN
cana-5927	17	15	,	,	PUNCT
cana-5927	17	16	aiming	aim	VERB
cana-5927	17	17	to	to	PART
cana-5927	17	18	reduce	reduce	VERB
cana-5927	17	19	the	the	DET
cana-5927	17	20	number	number	NOUN
cana-5927	17	21	of	of	ADP
cana-5927	17	22	claims	claim	NOUN
cana-5927	17	23	.	.	PUNCT
cana-5927	18	1	second	second	ADJ
cana-5927	18	2	,	,	PUNCT
cana-5927	18	3	it	it	PRON
cana-5927	18	4	ensures	ensure	VERB
cana-5927	18	5	that	that	SCONJ
cana-5927	18	6	policyholders	policyholder	NOUN
cana-5927	18	7	pay	pay	VERB
cana-5927	18	8	premiums	premium	NOUN
cana-5927	18	9	aligned	align	VERB
cana-5927	18	10	with	with	ADP
cana-5927	18	11	their	their	PRON
cana-5927	18	12	individual	individual	ADJ
cana-5927	18	13	risk	risk	NOUN
cana-5927	18	14	levels	level	NOUN
cana-5927	18	15	as	as	SCONJ
cana-5927	18	16	reflected	reflect	VERB
cana-5927	18	17	in	in	ADP
cana-5927	18	18	their	their	PRON
cana-5927	18	19	claims	claim	NOUN
cana-5927	18	20	history	history	NOUN
cana-5927	19	1	[	[	X
cana-5927	19	2	1	1	NUM
cana-5927	19	3	]	]	PUNCT
cana-5927	19	4	.	.	PUNCT
cana-5927	20	1	the	the	DET
cana-5927	20	2	fundamental	fundamental	ADJ
cana-5927	20	3	concept	concept	NOUN
cana-5927	20	4	of	of	ADP
cana-5927	20	5	this	this	DET
cana-5927	20	6	system	system	NOUN
cana-5927	20	7	is	be	AUX
cana-5927	20	8	that	that	SCONJ
cana-5927	20	9	higher	high	ADJ
cana-5927	20	10	claim	claim	NOUN
cana-5927	20	11	frequencies	frequency	NOUN
cana-5927	20	12	lead	lead	VERB
cana-5927	20	13	to	to	ADP
cana-5927	20	14	higher	high	ADJ
cana-5927	20	15	premiums	premium	NOUN
cana-5927	20	16	.	.	PUNCT
cana-5927	21	1	traditionally	traditionally	ADV
cana-5927	21	2	,	,	PUNCT
cana-5927	21	3	bmss	bmss	NOUN
cana-5927	21	4	have	have	AUX
cana-5927	21	5	relied	rely	VERB
cana-5927	21	6	solely	solely	ADV
cana-5927	21	7	on	on	ADP
cana-5927	21	8	the	the	DET
cana-5927	21	9	stochastic	stochastic	ADJ
cana-5927	21	10	nature	nature	NOUN
cana-5927	21	11	of	of	ADP
cana-5927	21	12	claim	claim	NOUN
cana-5927	21	13	frequency	frequency	NOUN
cana-5927	21	14	[	[	X
cana-5927	21	15	4	4	NUM
cana-5927	21	16	]	]	PUNCT
cana-5927	21	17	.	.	PUNCT
cana-5927	22	1	however	however	ADV
cana-5927	22	2	,	,	PUNCT
cana-5927	22	3	since	since	SCONJ
cana-5927	22	4	claims	claim	NOUN
cana-5927	22	5	may	may	AUX
cana-5927	22	6	vary	vary	VERB
cana-5927	22	7	significantly	significantly	ADV
cana-5927	22	8	in	in	ADP
cana-5927	22	9	size	size	NOUN
cana-5927	22	10	,	,	PUNCT
cana-5927	22	11	it	it	PRON
cana-5927	22	12	is	be	AUX
cana-5927	22	13	important	important	ADJ
cana-5927	22	14	to	to	PART
cana-5927	22	15	design	design	VERB
cana-5927	22	16	a	a	DET
cana-5927	22	17	bms	bms	NOUN
cana-5927	22	18	that	that	PRON
cana-5927	22	19	accounts	account	VERB
cana-5927	22	20	for	for	ADP
cana-5927	22	21	both	both	CCONJ
cana-5927	22	22	the	the	DET
cana-5927	22	23	frequency	frequency	NOUN
cana-5927	22	24	and	and	CCONJ
cana-5927	22	25	severity	severity	NOUN
cana-5927	22	26	of	of	ADP
cana-5927	22	27	claims	claim	NOUN
cana-5927	22	28	.	.	PUNCT
cana-5927	23	1	although	although	SCONJ
cana-5927	23	2	several	several	ADJ
cana-5927	23	3	authors	author	NOUN
cana-5927	23	4	have	have	AUX
cana-5927	23	5	already	already	ADV
cana-5927	23	6	proposed	propose	VERB
cana-5927	23	7	this	this	DET
cana-5927	23	8	idea	idea	NOUN
cana-5927	24	1	[	[	X
cana-5927	24	2	2	2	NUM
cana-5927	24	3	,	,	PUNCT
cana-5927	24	4	7	7	NUM
cana-5927	24	5	,	,	PUNCT
cana-5927	24	6	9	9	NUM
cana-5927	24	7	]	]	PUNCT
cana-5927	24	8	,	,	PUNCT
cana-5927	24	9	their	their	PRON
cana-5927	24	10	models	model	NOUN
cana-5927	24	11	typically	typically	ADV
cana-5927	24	12	determine	determine	VERB
cana-5927	24	13	premiums	premium	NOUN
cana-5927	24	14	using	use	VERB
cana-5927	24	15	only	only	ADV
cana-5927	24	16	the	the	DET
cana-5927	24	17	classical	classical	ADJ
cana-5927	24	18	quadratic	quadratic	ADJ
cana-5927	24	19	loss	loss	NOUN
cana-5927	24	20	function	function	NOUN
cana-5927	24	21	.	.	PUNCT
cana-5927	25	1	mailto:imene.ouchen@univ-annaba.dz	mailto:imene.ouchen@univ-annaba.dz	PROPN
cana-5927	25	2	mailto:ahmed.sadoun@univ-annaba.dz	mailto:ahmed.sadoun@univ-annaba.dz	PROPN
cana-5927	25	3	mailto:riad.remita@ensia.edu.dz	mailto:riad.remita@ensia.edu.dz	PROPN
cana-5927	25	4	communications	communication	NOUN
cana-5927	25	5	on	on	ADP
cana-5927	25	6	applied	apply	VERB
cana-5927	25	7	nonlinear	nonlinear	ADJ
cana-5927	25	8	analysis	analysis	NOUN
cana-5927	25	9	issn	issn	NOUN
cana-5927	25	10	:	:	PUNCT
cana-5927	25	11	1074	1074	NUM
cana-5927	25	12	-	-	PUNCT
cana-5927	25	13	133x	133x	NUM
cana-5927	25	14	vol	vol	VERB
cana-5927	25	15	32	32	NUM
cana-5927	25	16	no	no	NOUN
cana-5927	25	17	.	.	PUNCT
cana-5927	26	1	10s	10	NOUN
cana-5927	26	2	(	(	PUNCT
cana-5927	26	3	2025	2025	NUM
cana-5927	26	4	)	)	PUNCT
cana-5927	26	5	3063	3063	NUM
cana-5927	26	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5927	26	7	in	in	ADP
cana-5927	26	8	insurance	insurance	NOUN
cana-5927	26	9	,	,	PUNCT
cana-5927	26	10	actuaries	actuary	NOUN
cana-5927	26	11	use	use	VERB
cana-5927	26	12	loss	loss	NOUN
cana-5927	26	13	functions	function	NOUN
cana-5927	26	14	as	as	ADP
cana-5927	26	15	analytical	analytical	ADJ
cana-5927	26	16	tools	tool	NOUN
cana-5927	26	17	to	to	PART
cana-5927	26	18	evaluate	evaluate	VERB
cana-5927	26	19	the	the	DET
cana-5927	26	20	costs	cost	NOUN
cana-5927	26	21	associated	associate	VERB
cana-5927	26	22	with	with	ADP
cana-5927	26	23	deviations	deviation	NOUN
cana-5927	26	24	from	from	ADP
cana-5927	26	25	expected	expect	VERB
cana-5927	26	26	outcomes	outcome	NOUN
cana-5927	26	27	.	.	PUNCT
cana-5927	27	1	these	these	DET
cana-5927	27	2	functions	function	NOUN
cana-5927	27	3	are	be	AUX
cana-5927	27	4	critical	critical	ADJ
cana-5927	27	5	in	in	ADP
cana-5927	27	6	risk	risk	NOUN
cana-5927	27	7	assessment	assessment	NOUN
cana-5927	27	8	,	,	PUNCT
cana-5927	27	9	premium	premium	NOUN
cana-5927	27	10	calculation	calculation	NOUN
cana-5927	27	11	,	,	PUNCT
cana-5927	27	12	and	and	CCONJ
cana-5927	27	13	decision	decision	NOUN
cana-5927	27	14	-	-	PUNCT
cana-5927	27	15	making	make	VERB
cana-5927	27	16	processes	process	NOUN
cana-5927	27	17	.	.	PUNCT
cana-5927	28	1	measuring	measure	VERB
cana-5927	28	2	different	different	ADJ
cana-5927	28	3	forms	form	NOUN
cana-5927	28	4	of	of	ADP
cana-5927	28	5	loss	loss	NOUN
cana-5927	28	6	enhances	enhance	VERB
cana-5927	28	7	an	an	DET
cana-5927	28	8	insurer	insurer	NOUN
cana-5927	28	9	’s	’s	PART
cana-5927	28	10	ability	ability	NOUN
cana-5927	28	11	to	to	PART
cana-5927	28	12	manage	manage	VERB
cana-5927	28	13	and	and	CCONJ
cana-5927	28	14	mitigate	mitigate	VERB
cana-5927	28	15	risk	risk	NOUN
cana-5927	28	16	.	.	PUNCT
cana-5927	29	1	loss	loss	NOUN
cana-5927	29	2	functions	function	NOUN
cana-5927	29	3	help	help	VERB
cana-5927	29	4	insurers	insurer	NOUN
cana-5927	29	5	select	select	VERB
cana-5927	29	6	models	model	NOUN
cana-5927	29	7	and	and	CCONJ
cana-5927	29	8	strategies	strategy	NOUN
cana-5927	29	9	that	that	PRON
cana-5927	29	10	align	align	VERB
cana-5927	29	11	with	with	ADP
cana-5927	29	12	their	their	PRON
cana-5927	29	13	risk	risk	NOUN
cana-5927	29	14	tolerance	tolerance	NOUN
cana-5927	29	15	.	.	PUNCT
cana-5927	30	1	by	by	ADP
cana-5927	30	2	accurately	accurately	ADV
cana-5927	30	3	evaluating	evaluate	VERB
cana-5927	30	4	risks	risk	NOUN
cana-5927	30	5	,	,	PUNCT
cana-5927	30	6	insurers	insurer	NOUN
cana-5927	30	7	can	can	AUX
cana-5927	30	8	set	set	VERB
cana-5927	30	9	fair	fair	ADJ
cana-5927	30	10	and	and	CCONJ
cana-5927	30	11	financially	financially	ADV
cana-5927	30	12	sustainable	sustainable	ADJ
cana-5927	30	13	premium	premium	NOUN
cana-5927	30	14	rates	rate	NOUN
cana-5927	30	15	.	.	PUNCT
cana-5927	31	1	there	there	PRON
cana-5927	31	2	are	be	VERB
cana-5927	31	3	several	several	ADJ
cana-5927	31	4	types	type	NOUN
cana-5927	31	5	of	of	ADP
cana-5927	31	6	loss	loss	NOUN
cana-5927	31	7	functions	function	NOUN
cana-5927	31	8	used	use	VERB
cana-5927	31	9	in	in	ADP
cana-5927	31	10	statistics	statistic	NOUN
cana-5927	31	11	.	.	PUNCT
cana-5927	32	1	the	the	DET
cana-5927	32	2	most	most	ADV
cana-5927	32	3	common	common	ADJ
cana-5927	32	4	is	be	AUX
cana-5927	32	5	the	the	DET
cana-5927	32	6	quadratic	quadratic	ADJ
cana-5927	32	7	loss	loss	NOUN
cana-5927	32	8	function	function	NOUN
cana-5927	32	9	,	,	PUNCT
cana-5927	32	10	also	also	ADV
cana-5927	32	11	known	know	VERB
cana-5927	32	12	as	as	ADP
cana-5927	32	13	the	the	DET
cana-5927	32	14	mean	mean	ADJ
cana-5927	32	15	squared	square	VERB
cana-5927	32	16	error	error	NOUN
cana-5927	32	17	.	.	PUNCT
cana-5927	33	1	in	in	ADP
cana-5927	33	2	automobile	automobile	NOUN
cana-5927	33	3	insurance	insurance	NOUN
cana-5927	33	4	,	,	PUNCT
cana-5927	33	5	it	it	PRON
cana-5927	33	6	calculates	calculate	VERB
cana-5927	33	7	the	the	DET
cana-5927	33	8	squared	square	VERB
cana-5927	33	9	difference	difference	NOUN
cana-5927	33	10	between	between	ADP
cana-5927	33	11	actual	actual	ADJ
cana-5927	33	12	and	and	CCONJ
cana-5927	33	13	estimated	estimated	ADJ
cana-5927	33	14	values	value	NOUN
cana-5927	33	15	,	,	PUNCT
cana-5927	33	16	assigning	assign	VERB
cana-5927	33	17	greater	great	ADJ
cana-5927	33	18	weight	weight	NOUN
cana-5927	33	19	to	to	ADP
cana-5927	33	20	larger	large	ADJ
cana-5927	33	21	errors	error	NOUN
cana-5927	33	22	.	.	PUNCT
cana-5927	34	1	another	another	DET
cana-5927	34	2	important	important	ADJ
cana-5927	34	3	loss	loss	NOUN
cana-5927	34	4	function	function	NOUN
cana-5927	34	5	is	be	AUX
cana-5927	34	6	the	the	DET
cana-5927	34	7	linex	linex	ADJ
cana-5927	34	8	loss	loss	NOUN
cana-5927	34	9	function	function	NOUN
cana-5927	34	10	,	,	PUNCT
cana-5927	34	11	which	which	PRON
cana-5927	34	12	is	be	AUX
cana-5927	34	13	asymmetric	asymmetric	ADJ
cana-5927	34	14	.	.	PUNCT
cana-5927	35	1	this	this	DET
cana-5927	35	2	asymmetry	asymmetry	NOUN
cana-5927	35	3	allows	allow	VERB
cana-5927	35	4	for	for	ADP
cana-5927	35	5	an	an	DET
cana-5927	35	6	unequal	unequal	ADJ
cana-5927	35	7	assessment	assessment	NOUN
cana-5927	35	8	of	of	ADP
cana-5927	35	9	underestimation	underestimation	NOUN
cana-5927	35	10	versus	versus	ADP
cana-5927	35	11	overestimation	overestimation	NOUN
cana-5927	35	12	of	of	ADP
cana-5927	35	13	risk	risk	NOUN
cana-5927	35	14	—	—	PUNCT
cana-5927	35	15	particularly	particularly	ADV
cana-5927	35	16	useful	useful	ADJ
cana-5927	35	17	when	when	SCONJ
cana-5927	35	18	underestimating	underestimate	VERB
cana-5927	35	19	significant	significant	ADJ
cana-5927	35	20	claims	claim	NOUN
cana-5927	35	21	has	have	VERB
cana-5927	35	22	more	more	ADV
cana-5927	35	23	serious	serious	ADJ
cana-5927	35	24	consequences	consequence	NOUN
cana-5927	35	25	than	than	ADP
cana-5927	35	26	overestimating	overestimate	VERB
cana-5927	35	27	minor	minor	ADJ
cana-5927	35	28	ones	one	NOUN
cana-5927	35	29	.	.	PUNCT
cana-5927	36	1	lastly	lastly	ADV
cana-5927	36	2	,	,	PUNCT
cana-5927	36	3	the	the	DET
cana-5927	36	4	entropy	entropy	NOUN
cana-5927	36	5	loss	loss	NOUN
cana-5927	36	6	function	function	NOUN
cana-5927	36	7	measures	measure	VERB
cana-5927	36	8	the	the	DET
cana-5927	36	9	proportional	proportional	ADJ
cana-5927	36	10	gap	gap	NOUN
cana-5927	36	11	between	between	ADP
cana-5927	36	12	observed	observed	ADJ
cana-5927	36	13	and	and	CCONJ
cana-5927	36	14	expected	expect	VERB
cana-5927	36	15	values	value	NOUN
cana-5927	36	16	.	.	PUNCT
cana-5927	37	1	it	it	PRON
cana-5927	37	2	is	be	AUX
cana-5927	37	3	particularly	particularly	ADV
cana-5927	37	4	sensitive	sensitive	ADJ
cana-5927	37	5	to	to	ADP
cana-5927	37	6	rare	rare	ADJ
cana-5927	37	7	but	but	CCONJ
cana-5927	37	8	important	important	ADJ
cana-5927	37	9	deviations	deviation	NOUN
cana-5927	37	10	,	,	PUNCT
cana-5927	37	11	making	make	VERB
cana-5927	37	12	it	it	PRON
cana-5927	37	13	suitable	suitable	ADJ
cana-5927	37	14	for	for	ADP
cana-5927	37	15	capturing	capture	VERB
cana-5927	37	16	infrequent	infrequent	ADJ
cana-5927	37	17	but	but	CCONJ
cana-5927	37	18	high	high	ADJ
cana-5927	37	19	-	-	PUNCT
cana-5927	37	20	impact	impact	NOUN
cana-5927	37	21	events	event	NOUN
cana-5927	37	22	.	.	PUNCT
cana-5927	38	1	in	in	ADP
cana-5927	38	2	this	this	DET
cana-5927	38	3	study	study	NOUN
cana-5927	38	4	,	,	PUNCT
cana-5927	38	5	we	we	PRON
cana-5927	38	6	aim	aim	VERB
cana-5927	38	7	to	to	PART
cana-5927	38	8	calculate	calculate	VERB
cana-5927	38	9	bonus	bonus	NOUN
cana-5927	38	10	-	-	PUNCT
cana-5927	38	11	malus	malus	NOUN
cana-5927	38	12	premiums	premium	NOUN
cana-5927	38	13	using	use	VERB
cana-5927	38	14	multiple	multiple	ADJ
cana-5927	38	15	loss	loss	NOUN
cana-5927	38	16	functions	function	NOUN
cana-5927	38	17	while	while	SCONJ
cana-5927	38	18	incorporating	incorporate	VERB
cana-5927	38	19	both	both	DET
cana-5927	38	20	claim	claim	NOUN
cana-5927	38	21	frequency	frequency	NOUN
cana-5927	38	22	and	and	CCONJ
cana-5927	38	23	severity	severity	NOUN
cana-5927	38	24	.	.	PUNCT
cana-5927	39	1	while	while	SCONJ
cana-5927	39	2	most	most	ADJ
cana-5927	39	3	existing	exist	VERB
cana-5927	39	4	research	research	NOUN
cana-5927	39	5	focuses	focus	VERB
cana-5927	39	6	on	on	ADP
cana-5927	39	7	a	a	DET
cana-5927	39	8	single	single	ADJ
cana-5927	39	9	loss	loss	NOUN
cana-5927	39	10	function	function	NOUN
cana-5927	39	11	,	,	PUNCT
cana-5927	39	12	we	we	PRON
cana-5927	39	13	examine	examine	VERB
cana-5927	39	14	the	the	DET
cana-5927	39	15	use	use	NOUN
cana-5927	39	16	of	of	ADP
cana-5927	39	17	different	different	ADJ
cana-5927	39	18	loss	loss	NOUN
cana-5927	39	19	functions	function	NOUN
cana-5927	39	20	across	across	ADP
cana-5927	39	21	various	various	ADJ
cana-5927	39	22	scenarios	scenario	NOUN
cana-5927	39	23	,	,	PUNCT
cana-5927	39	24	and	and	CCONJ
cana-5927	39	25	we	we	PRON
cana-5927	39	26	compare	compare	VERB
cana-5927	39	27	the	the	DET
cana-5927	39	28	resulting	result	VERB
cana-5927	39	29	premiums	premium	NOUN
cana-5927	39	30	with	with	ADP
cana-5927	39	31	those	those	PRON
cana-5927	39	32	obtained	obtain	VERB
cana-5927	39	33	using	use	VERB
cana-5927	39	34	only	only	ADV
cana-5927	39	35	one	one	NUM
cana-5927	39	36	loss	loss	NOUN
cana-5927	39	37	function	function	NOUN
cana-5927	39	38	.	.	PUNCT
cana-5927	40	1	additionally	additionally	ADV
cana-5927	40	2	,	,	PUNCT
cana-5927	40	3	we	we	PRON
cana-5927	40	4	provide	provide	VERB
cana-5927	40	5	a	a	DET
cana-5927	40	6	numerical	numerical	ADJ
cana-5927	40	7	application	application	NOUN
cana-5927	40	8	using	use	VERB
cana-5927	40	9	a	a	DET
cana-5927	40	10	real	real	ADJ
cana-5927	40	11	automobile	automobile	NOUN
cana-5927	40	12	insurance	insurance	NOUN
cana-5927	40	13	dataset	dataset	NOUN
cana-5927	40	14	and	and	CCONJ
cana-5927	40	15	employ	employ	VERB
cana-5927	40	16	r	r	NOUN
cana-5927	40	17	software	software	NOUN
cana-5927	40	18	to	to	PART
cana-5927	40	19	compute	compute	VERB
cana-5927	40	20	the	the	DET
cana-5927	40	21	premiums	premium	NOUN
cana-5927	40	22	,	,	PUNCT
cana-5927	40	23	allowing	allow	VERB
cana-5927	40	24	for	for	ADP
cana-5927	40	25	a	a	DET
cana-5927	40	26	detailed	detailed	ADJ
cana-5927	40	27	comparison	comparison	NOUN
cana-5927	40	28	and	and	CCONJ
cana-5927	40	29	identification	identification	NOUN
cana-5927	40	30	of	of	ADP
cana-5927	40	31	the	the	DET
cana-5927	40	32	most	most	ADV
cana-5927	40	33	beneficial	beneficial	ADJ
cana-5927	40	34	approach	approach	NOUN
cana-5927	40	35	for	for	ADP
cana-5927	40	36	insurance	insurance	NOUN
cana-5927	40	37	providers	provider	NOUN
cana-5927	40	38	.	.	PUNCT
cana-5927	41	1	this	this	DET
cana-5927	41	2	article	article	NOUN
cana-5927	41	3	is	be	AUX
cana-5927	41	4	structured	structure	VERB
cana-5927	41	5	as	as	SCONJ
cana-5927	41	6	follows	follow	VERB
cana-5927	41	7	:	:	PUNCT
cana-5927	41	8	•	•	ADP
cana-5927	41	9	the	the	DET
cana-5927	41	10	first	first	ADJ
cana-5927	41	11	two	two	NUM
cana-5927	41	12	sections	section	NOUN
cana-5927	41	13	address	address	VERB
cana-5927	41	14	claim	claim	NOUN
cana-5927	41	15	frequency	frequency	NOUN
cana-5927	41	16	and	and	CCONJ
cana-5927	41	17	claim	claim	NOUN
cana-5927	41	18	severity	severity	NOUN
cana-5927	41	19	,	,	PUNCT
cana-5927	41	20	each	each	PRON
cana-5927	41	21	divided	divide	VERB
cana-5927	41	22	into	into	ADP
cana-5927	41	23	five	five	NUM
cana-5927	41	24	subsections	subsection	NOUN
cana-5927	41	25	:	:	PUNCT
cana-5927	41	26	the	the	DET
cana-5927	41	27	selected	select	VERB
cana-5927	41	28	distribution	distribution	NOUN
cana-5927	41	29	,	,	PUNCT
cana-5927	41	30	the	the	DET
cana-5927	41	31	bayesian	bayesian	NOUN
cana-5927	41	32	approach	approach	NOUN
cana-5927	41	33	,	,	PUNCT
cana-5927	41	34	and	and	CCONJ
cana-5927	41	35	the	the	DET
cana-5927	41	36	premiums	premium	NOUN
cana-5927	41	37	computed	compute	VERB
cana-5927	41	38	using	use	VERB
cana-5927	41	39	the	the	DET
cana-5927	41	40	quadratic	quadratic	ADJ
cana-5927	41	41	,	,	PUNCT
cana-5927	41	42	linex	linex	ADV
cana-5927	41	43	,	,	PUNCT
cana-5927	41	44	and	and	CCONJ
cana-5927	41	45	entropy	entropy	VERB
cana-5927	41	46	loss	loss	NOUN
cana-5927	41	47	functions	function	NOUN
cana-5927	41	48	.	.	PUNCT
cana-5927	42	1	•	•	NUM
cana-5927	42	2	the	the	DET
cana-5927	42	3	third	third	ADJ
cana-5927	42	4	section	section	NOUN
cana-5927	42	5	presents	present	VERB
cana-5927	42	6	the	the	DET
cana-5927	42	7	final	final	ADJ
cana-5927	42	8	premiums	premium	NOUN
cana-5927	42	9	calculated	calculate	VERB
cana-5927	42	10	based	base	VERB
cana-5927	42	11	on	on	ADP
cana-5927	42	12	both	both	DET
cana-5927	42	13	claim	claim	NOUN
cana-5927	42	14	frequency	frequency	NOUN
cana-5927	42	15	and	and	CCONJ
cana-5927	42	16	severity	severity	NOUN
cana-5927	42	17	.	.	PUNCT
cana-5927	43	1	•	•	NUM
cana-5927	43	2	the	the	DET
cana-5927	43	3	fourth	fourth	ADJ
cana-5927	43	4	section	section	NOUN
cana-5927	43	5	offers	offer	VERB
cana-5927	43	6	a	a	DET
cana-5927	43	7	numerical	numerical	ADJ
cana-5927	43	8	application	application	NOUN
cana-5927	43	9	,	,	PUNCT
cana-5927	43	10	using	use	VERB
cana-5927	43	11	a	a	DET
cana-5927	43	12	real	real	ADJ
cana-5927	43	13	dataset	dataset	NOUN
cana-5927	43	14	and	and	CCONJ
cana-5927	43	15	r	r	NOUN
cana-5927	43	16	software	software	NOUN
cana-5927	43	17	,	,	PUNCT
cana-5927	43	18	and	and	CCONJ
cana-5927	43	19	analyzes	analyze	VERB
cana-5927	43	20	the	the	DET
cana-5927	43	21	outcomes	outcome	NOUN
cana-5927	43	22	based	base	VERB
cana-5927	43	23	on	on	ADP
cana-5927	43	24	the	the	DET
cana-5927	43	25	final	final	ADJ
cana-5927	43	26	premiums	premium	NOUN
cana-5927	43	27	discussed	discuss	VERB
cana-5927	43	28	in	in	ADP
cana-5927	43	29	the	the	DET
cana-5927	43	30	third	third	ADJ
cana-5927	43	31	section	section	NOUN
cana-5927	43	32	.	.	PUNCT
cana-5927	44	1	•	•	NUM
cana-5927	44	2	the	the	DET
cana-5927	44	3	final	final	ADJ
cana-5927	44	4	section	section	NOUN
cana-5927	44	5	provides	provide	VERB
cana-5927	44	6	a	a	DET
cana-5927	44	7	summary	summary	NOUN
cana-5927	44	8	of	of	ADP
cana-5927	44	9	the	the	DET
cana-5927	44	10	study	study	NOUN
cana-5927	44	11	’s	’s	PART
cana-5927	44	12	key	key	ADJ
cana-5927	44	13	findings	finding	NOUN
cana-5927	44	14	.	.	PUNCT
cana-5927	45	1	2	2	X
cana-5927	45	2	.	.	X
cana-5927	45	3	claimfrequencydistributionusingpoisson	claimfrequencydistributionusingpoisson	NOUN
cana-5927	45	4	-	-	PUNCT
cana-5927	45	5	akash	akash	NOUN
cana-5927	45	6	2.1	2.1	NUM
cana-5927	45	7	.	.	PUNCT
cana-5927	46	1	poisson	poisson	NOUN
cana-5927	46	2	-	-	PUNCT
cana-5927	46	3	akash	akash	NOUN
cana-5927	46	4	distribution.we	distribution.we	PRON
cana-5927	46	5	generallyusethepoissondistribution	generallyusethepoissondistribution	NOUN
cana-5927	46	6	in	in	ADP
cana-5927	46	7	car	car	NOUN
cana-5927	46	8	insurance	insurance	NOUN
cana-5927	46	9	to	to	PART
cana-5927	46	10	explain	explain	VERB
cana-5927	46	11	the	the	DET
cana-5927	46	12	random	random	ADJ
cana-5927	46	13	frequency	frequency	NOUN
cana-5927	46	14	of	of	ADP
cana-5927	46	15	the	the	DET
cana-5927	46	16	claim.the	claim.the	DET
cana-5927	46	17	claims	claim	NOUN
cana-5927	46	18	numberkissupposedtofollowthepoissondistributionwithparameter𝜃and	numberkissupposedtofollowthepoissondistributionwithparameter𝜃and	NOUN
cana-5927	46	19	probability	probability	NOUN
cana-5927	46	20	mass	mass	NOUN
cana-5927	46	21	function	function	NOUN
cana-5927	46	22	as	as	ADP
cana-5927	46	23	𝑃(𝑙|θ	𝑃(𝑙|θ	ADJ
cana-5927	46	24	)	)	PUNCT
cana-5927	46	25	=	=	SYM
cana-5927	46	26	𝑒−θθ𝑙	𝑒−θθ𝑙	NOUN
cana-5927	47	1	𝑙	𝑙	X
cana-5927	47	2	!	!	NOUN
cana-5927	47	3	,	,	PUNCT
cana-5927	48	1	𝑙	𝑙	X
cana-5927	48	2	=	=	PUNCT
cana-5927	48	3	0,1,2	0,1,2	NUM
cana-5927	48	4	,	,	PUNCT
cana-5927	48	5	…	…	PUNCT
cana-5927	48	6	,	,	PUNCT
cana-5927	48	7	θ	θ	X
cana-5927	48	8	>	>	X
cana-5927	48	9	0	0	NUM
cana-5927	48	10	,	,	PUNCT
cana-5927	48	11	withthefollowingexpectedvalue	withthefollowingexpectedvalue	ADJ
cana-5927	48	12	𝐸[𝑙|θ	𝐸[𝑙|θ	NOUN
cana-5927	48	13	]	]	X
cana-5927	48	14	=	=	SYM
cana-5927	48	15	𝑉𝑎𝑟[𝑙|θ	𝑉𝑎𝑟[𝑙|θ	X
cana-5927	48	16	]	]	X
cana-5927	48	17	=	=	SYM
cana-5927	48	18	θ	θ	X
cana-5927	48	19	.	.	PUNCT
cana-5927	48	20	𝜃	𝜃	PROPN
cana-5927	48	21	is	be	AUX
cana-5927	48	22	assumed	assume	VERB
cana-5927	48	23	to	to	PART
cana-5927	48	24	follow	follow	VERB
cana-5927	48	25	the	the	DET
cana-5927	48	26	akash	akash	NOUN
cana-5927	48	27	distribution	distribution	NOUN
cana-5927	48	28	with	with	ADP
cana-5927	48	29	parameter	parameter	PROPN
cana-5927	48	30	𝛾and	𝛾and	PROPN
cana-5927	48	31	a	a	DET
cana-5927	48	32	probability	probability	NOUN
cana-5927	48	33	density	density	NOUN
cana-5927	48	34	communications	communication	NOUN
cana-5927	48	35	on	on	ADP
cana-5927	48	36	applied	apply	VERB
cana-5927	48	37	nonlinear	nonlinear	ADJ
cana-5927	48	38	analysis	analysis	NOUN
cana-5927	48	39	issn	issn	NOUN
cana-5927	48	40	:	:	PUNCT
cana-5927	48	41	1074	1074	NUM
cana-5927	48	42	-	-	PUNCT
cana-5927	48	43	133x	133x	NUM
cana-5927	48	44	vol	vol	VERB
cana-5927	48	45	32	32	NUM
cana-5927	48	46	no	no	NOUN
cana-5927	48	47	.	.	PUNCT
cana-5927	49	1	10s	10	NOUN
cana-5927	49	2	(	(	PUNCT
cana-5927	49	3	2025	2025	NUM
cana-5927	49	4	)	)	PUNCT
cana-5927	49	5	3064	3064	NUM
cana-5927	50	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5927	50	2	function	function	NOUN
cana-5927	50	3	expressed	express	VERB
cana-5927	50	4	as	as	SCONJ
cana-5927	50	5	follows	follow	VERB
cana-5927	50	6	:	:	PUNCT
cana-5927	50	7	π(θ	π(θ	NOUN
cana-5927	50	8	)	)	PUNCT
cana-5927	50	9	=	=	SYM
cana-5927	50	10	γ3	γ3	NOUN
cana-5927	50	11	γ2	γ2	NOUN
cana-5927	50	12	+	+	CCONJ
cana-5927	50	13	2	2	NUM
cana-5927	50	14	(	(	PUNCT
cana-5927	50	15	1	1	NUM
cana-5927	50	16	+	+	CCONJ
cana-5927	50	17	θ2)𝑒−γθ	θ2)𝑒−γθ	NOUN
cana-5927	50	18	.	.	PUNCT
cana-5927	51	1	then	then	ADV
cana-5927	51	2	,	,	PUNCT
cana-5927	51	3	themixeddistributionofthepoissonwithakashdistribution(seeshanker	themixeddistributionofthepoissonwithakashdistribution(seeshanker	PROPN
cana-5927	51	4	in	in	ADP
cana-5927	51	5	2016	2016	NUM
cana-5927	52	1	[	[	X
cana-5927	52	2	11	11	NUM
cana-5927	52	3	]	]	PUNCT
cana-5927	52	4	)	)	PUNCT
cana-5927	52	5	is	be	AUX
cana-5927	52	6	:	:	PUNCT
cana-5927	52	7	𝑓(𝑙	𝑓(𝑙	ADJ
cana-5927	52	8	)	)	PUNCT
cana-5927	52	9	=	=	SYM
cana-5927	53	1	∫	∫	PROPN
cana-5927	53	2	𝑃(𝑙|θ)π(θ)𝑑θ	𝑃(𝑙|θ)π(θ)𝑑θ	X
cana-5927	54	1	∞	∞	NOUN
cana-5927	54	2	0	0	NUM
cana-5927	54	3	=	=	SYM
cana-5927	54	4	γ3	γ3	NOUN
cana-5927	54	5	γ2	γ2	NOUN
cana-5927	54	6	+	+	CCONJ
cana-5927	54	7	2	2	NUM
cana-5927	54	8	γ2	γ2	NOUN
cana-5927	54	9	+	+	CCONJ
cana-5927	54	10	2γ	2γ	NOUN
cana-5927	54	11	+	+	X
cana-5927	54	12	𝑙2	𝑙2	NOUN
cana-5927	54	13	+	+	CCONJ
cana-5927	54	14	3𝑙	3𝑙	NUM
cana-5927	54	15	+	+	CCONJ
cana-5927	54	16	3	3	NUM
cana-5927	54	17	(	(	PUNCT
cana-5927	54	18	1	1	NUM
cana-5927	54	19	+	+	CCONJ
cana-5927	54	20	γ)𝑙+3	γ)𝑙+3	PROPN
cana-5927	54	21	(	(	PUNCT
cana-5927	54	22	1	1	NUM
cana-5927	54	23	)	)	PUNCT
cana-5927	54	24	2.2	2.2	NUM
cana-5927	54	25	.	.	PUNCT
cana-5927	55	1	bayesian	bayesian	NOUN
cana-5927	55	2	method	method	NOUN
cana-5927	55	3	.	.	PUNCT
cana-5927	56	1	the	the	DET
cana-5927	56	2	bayesian	bayesian	NOUN
cana-5927	56	3	technique	technique	NOUN
cana-5927	56	4	is	be	AUX
cana-5927	56	5	one	one	NUM
cana-5927	56	6	of	of	ADP
cana-5927	56	7	the	the	DET
cana-5927	56	8	most	most	ADV
cana-5927	56	9	commonly	commonly	ADV
cana-5927	56	10	employed	employ	VERB
cana-5927	56	11	computational	computational	ADJ
cana-5927	56	12	solutions	solution	NOUN
cana-5927	56	13	for	for	ADP
cana-5927	56	14	the	the	DET
cana-5927	56	15	bonus	bonus	NOUN
cana-5927	56	16	-	-	PUNCT
cana-5927	56	17	malus	malus	NOUN
cana-5927	56	18	premium	premium	NOUN
cana-5927	56	19	calculation	calculation	NOUN
cana-5927	56	20	,	,	PUNCT
cana-5927	56	21	whichhasbeenwellexploredin	whichhasbeenwellexploredin	VERB
cana-5927	56	22	[	[	PUNCT
cana-5927	56	23	5].thismethod’sprimarygoal	5].thismethod’sprimarygoal	NUM
cana-5927	56	24	istodeterminetheposteriordistributionfunction	istodeterminetheposteriordistributionfunction	NOUN
cana-5927	56	25	.	.	PUNCT
cana-5927	57	1	𝑙1	𝑙1	PROPN
cana-5927	57	2	,	,	PUNCT
cana-5927	57	3	𝑙2	𝑙2	PROPN
cana-5927	57	4	…	…	PUNCT
cana-5927	57	5	,	,	PUNCT
cana-5927	57	6	𝑙𝑡is	𝑙𝑡is	NOUN
cana-5927	57	7	asample	asample	NOUN
cana-5927	57	8	ofsizet.theclaimstotalnumbergeneratedbyaninsured	ofsizet.theclaimstotalnumbergeneratedbyaninsure	VERB
cana-5927	57	9	over	over	ADP
cana-5927	57	10	tyearsis𝑁	tyearsis𝑁	NOUN
cana-5927	57	11	=	=	PUNCT
cana-5927	57	12	∑	∑	PROPN
cana-5927	57	13	𝑙𝑖	𝑙𝑖	ADP
cana-5927	57	14	𝑡	𝑡	X
cana-5927	57	15	𝑖=1	𝑖=1	PROPN
cana-5927	57	16	,	,	PUNCT
cana-5927	57	17	where𝑙𝑖istheclaim’snumberestablishedbyaninsuredinyears𝑖	where𝑙𝑖istheclaim’snumberestablishedbyaninsuredinyears𝑖	PROPN
cana-5927	57	18	,	,	PUNCT
cana-5927	57	19	𝑖	𝑖	NOUN
cana-5927	57	20	=	=	SYM
cana-5927	57	21	1	1	NUM
cana-5927	57	22	,	,	PUNCT
cana-5927	57	23	2	2	NUM
cana-5927	57	24	,	,	PUNCT
cana-5927	57	25	…	…	PUNCT
cana-5927	57	26	,	,	PUNCT
cana-5927	57	27	𝑡.thelikelihoodfunctionis	𝑡.thelikelihoodfunctionis	PUNCT
cana-5927	57	28	:	:	PUNCT
cana-5927	57	29	𝐿(θ	𝐿(θ	NUM
cana-5927	57	30	;	;	PUNCT
cana-5927	57	31	𝑙1,𝑙2	𝑙1,𝑙2	PROPN
cana-5927	57	32	,	,	PUNCT
cana-5927	57	33	…	…	PUNCT
cana-5927	57	34	,	,	PUNCT
cana-5927	57	35	𝑙𝑛	𝑙𝑛	PROPN
cana-5927	57	36	)	)	PUNCT
cana-5927	57	37	=	=	SYM
cana-5927	57	38	∏	∏	PROPN
cana-5927	57	39	𝑒−θθ𝑙𝑖	𝑒−θθ𝑙𝑖	NOUN
cana-5927	57	40	𝑙𝑖	𝑙𝑖	NOUN
cana-5927	57	41	!	!	PUNCT
cana-5927	58	1	𝑡	𝑡	PROPN
cana-5927	58	2	𝑖=1	𝑖=1	PUNCT
cana-5927	58	3	=	=	SYM
cana-5927	58	4	1	1	NUM
cana-5927	58	5	∏	∏	NUM
cana-5927	58	6	𝑙𝑖	𝑙𝑖	PROPN
cana-5927	58	7	𝑡	𝑡	PROPN
cana-5927	58	8	𝑖=1	𝑖=1	PROPN
cana-5927	58	9	!	!	PUNCT
cana-5927	58	10	𝑒−𝑡θθ∑	𝑒−𝑡θθ∑	PUNCT
cana-5927	59	1	𝑙𝑖	𝑙𝑖	ADP
cana-5927	59	2	∝	∝	PROPN
cana-5927	59	3	𝑒−𝑡θθ𝑁.	𝑒−𝑡θθ𝑁.	PROPN
cana-5927	59	4	(	(	PUNCT
cana-5927	59	5	2	2	X
cana-5927	59	6	)	)	PUNCT
cana-5927	59	7	thepriordistributionis	thepriordistributionis	PROPN
cana-5927	59	8	:	:	PUNCT
cana-5927	59	9	π(θ	π(θ	NOUN
cana-5927	59	10	)	)	PUNCT
cana-5927	59	11	=	=	SYM
cana-5927	59	12	γ3	γ3	NOUN
cana-5927	59	13	γ	γ	NOUN
cana-5927	59	14	+	+	CCONJ
cana-5927	59	15	2	2	NUM
cana-5927	59	16	(	(	PUNCT
cana-5927	59	17	1	1	NUM
cana-5927	59	18	+	+	CCONJ
cana-5927	59	19	θ2)𝑒−γθ	θ2)𝑒−γθ	PROPN
cana-5927	59	20	∝	∝	PROPN
cana-5927	59	21	(	(	PUNCT
cana-5927	59	22	1	1	NUM
cana-5927	59	23	+	+	CCONJ
cana-5927	59	24	θ2)𝑒−γθ	θ2)𝑒−γθ	NOUN
cana-5927	59	25	.	.	PUNCT
cana-5927	60	1	(	(	PUNCT
cana-5927	60	2	3	3	X
cana-5927	60	3	)	)	PUNCT
cana-5927	60	4	inorder	inorder	NOUN
cana-5927	60	5	to	to	PART
cana-5927	60	6	determine	determine	VERB
cana-5927	60	7	the	the	DET
cana-5927	60	8	posterior	posterior	ADJ
cana-5927	60	9	distribution	distribution	NOUN
cana-5927	60	10	for	for	ADP
cana-5927	60	11	an	an	DET
cana-5927	60	12	insured	insured	ADJ
cana-5927	60	13	with𝑘1,𝑘2	with𝑘1,𝑘2	PROPN
cana-5927	60	14	,	,	PUNCT
cana-5927	60	15	…	…	PUNCT
cana-5927	60	16	,	,	PUNCT
cana-5927	60	17	𝑘𝑡	𝑘𝑡	PROPN
cana-5927	60	18	claimhistory	claimhistory	NOUN
cana-5927	60	19	,	,	PUNCT
cana-5927	60	20	weemploythebayes’theorem.theproductofthepriordistribution	weemploythebayes’theorem.theproductofthepriordistribution	NOUN
cana-5927	60	21	in	in	ADP
cana-5927	60	22	(	(	PUNCT
cana-5927	60	23	3	3	NUM
cana-5927	60	24	)	)	PUNCT
cana-5927	60	25	and	and	CCONJ
cana-5927	60	26	the	the	DET
cana-5927	60	27	likelihood	likelihood	NOUN
cana-5927	60	28	function	function	NOUN
cana-5927	60	29	in	in	ADP
cana-5927	60	30	(	(	PUNCT
cana-5927	60	31	2	2	NUM
cana-5927	60	32	)	)	PUNCT
cana-5927	60	33	represents	represent	VERB
cana-5927	60	34	the	the	DET
cana-5927	60	35	posterior	posterior	ADJ
cana-5927	60	36	distribution	distribution	NOUN
cana-5927	60	37	function	function	NOUN
cana-5927	60	38	as	as	SCONJ
cana-5927	60	39	follows	follow	VERB
cana-5927	60	40	:	:	PUNCT
cana-5927	60	41	π∗(θ|𝑙1	π∗(θ|𝑙1	NOUN
cana-5927	60	42	,	,	PUNCT
cana-5927	60	43	…	…	PUNCT
cana-5927	60	44	,	,	PUNCT
cana-5927	60	45	𝑙𝑛	𝑙𝑛	PROPN
cana-5927	60	46	)	)	PUNCT
cana-5927	60	47	∝	∝	PROPN
cana-5927	60	48	𝑃(𝑙1	𝑃(𝑙1	PROPN
cana-5927	60	49	,	,	PUNCT
cana-5927	60	50	…	…	PUNCT
cana-5927	60	51	,	,	PUNCT
cana-5927	60	52	𝑙𝑛|θ)π(θ	𝑙𝑛|θ)π(θ	NOUN
cana-5927	60	53	)	)	PUNCT
cana-5927	60	54	=	=	VERB
cana-5927	61	1	𝑒−θ𝑡θ𝑁(1	𝑒−θ𝑡θ𝑁(1	NOUN
cana-5927	62	1	+	+	CCONJ
cana-5927	62	2	θ2)𝑒−γθ	θ2)𝑒−γθ	NOUN
cana-5927	62	3	=	=	PUNCT
cana-5927	62	4	θ𝑁(1	θ𝑁(1	PROPN
cana-5927	62	5	+	+	NUM
cana-5927	62	6	θ2)𝑒−θ(𝑡+γ	θ2)𝑒−θ(𝑡+γ	NUM
cana-5927	62	7	)	)	PUNCT
cana-5927	62	8	.	.	PUNCT
cana-5927	63	1	finaly	finaly	VERB
cana-5927	63	2	,	,	PUNCT
cana-5927	63	3	fortheclaimfrequency	fortheclaimfrequency	NOUN
cana-5927	63	4	,	,	PUNCT
cana-5927	63	5	theposteriordistributionfunctionis(for	theposteriordistributionfunctionis(for	NOUN
cana-5927	63	6	moredetailsreferto[9	moredetailsreferto[9	PRON
cana-5927	63	7	]	]	NOUN
cana-5927	63	8	)	)	PUNCT
cana-5927	63	9	π∗(θ|𝑙1	π∗(θ|𝑙1	NOUN
cana-5927	63	10	,	,	PUNCT
cana-5927	63	11	…	…	PUNCT
cana-5927	63	12	,	,	PUNCT
cana-5927	63	13	𝑙𝑛	𝑙𝑛	PROPN
cana-5927	63	14	)	)	PUNCT
cana-5927	63	15	=	=	SYM
cana-5927	63	16	(	(	PUNCT
cana-5927	63	17	𝑡	𝑡	NOUN
cana-5927	63	18	+	+	X
cana-5927	63	19	γ)𝑛+3	γ)𝑛+3	ADJ
cana-5927	63	20	γ(𝑛	γ(𝑛	PROPN
cana-5927	63	21	+	+	CCONJ
cana-5927	63	22	1)[(𝑛	1)[(𝑛	NUM
cana-5927	63	23	+	+	NUM
cana-5927	63	24	2)(𝑛	2)(𝑛	NUM
cana-5927	63	25	+	+	CCONJ
cana-5927	63	26	1	1	NUM
cana-5927	63	27	)	)	PUNCT
cana-5927	63	28	+	+	CCONJ
cana-5927	63	29	(	(	PUNCT
cana-5927	63	30	𝑡	𝑡	PROPN
cana-5927	63	31	+	+	X
cana-5927	63	32	γ)2	γ)2	NOUN
cana-5927	63	33	]	]	X
cana-5927	63	34	θ𝑁(1	θ𝑁(1	NUM
cana-5927	63	35	+	+	NUM
cana-5927	63	36	θ2)𝑒−θ(𝑡+γ	θ2)𝑒−θ(𝑡+γ	NUM
cana-5927	63	37	)	)	PUNCT
cana-5927	63	38	.	.	PUNCT
cana-5927	64	1	2.3	2.3	NUM
cana-5927	64	2	.	.	PUNCT
cana-5927	64	3	premium	premium	NOUN
cana-5927	64	4	under	under	ADP
cana-5927	64	5	quadratic	quadratic	ADJ
cana-5927	64	6	loss	loss	NOUN
cana-5927	64	7	function	function	NOUN
cana-5927	64	8	.	.	PUNCT
cana-5927	65	1	in	in	ADP
cana-5927	65	2	this	this	DET
cana-5927	65	3	paper	paper	NOUN
cana-5927	65	4	,	,	PUNCT
cana-5927	65	5	we	we	PRON
cana-5927	65	6	aim	aim	VERB
cana-5927	65	7	to	to	PART
cana-5927	65	8	determinethenetpremiumwhichcorrespondstothemeanoftheclaimnumber	determinethenetpremiumwhichcorrespondstothemeanoftheclaimnumber	VERB
cana-5927	65	9	ofeachinsured.assumethattheclaimhistoryis	ofeachinsured.assumethattheclaimhistoryis	NUM
cana-5927	65	10	𝑙1	𝑙1	PROPN
cana-5927	65	11	,	,	PUNCT
cana-5927	65	12	𝑙2	𝑙2	PROPN
cana-5927	65	13	…	…	PUNCT
cana-5927	65	14	,	,	PUNCT
cana-5927	65	15	𝑙𝑡.themeanof	𝑙𝑡.themeanof	PROPN
cana-5927	65	16	theposteriordistributionfunctionforpoisson	theposteriordistributionfunctionforpoisson	NOUN
cana-5927	65	17	-	-	PUNCT
cana-5927	65	18	akashdistribution(whichisthe	akashdistribution(whichisthe	DET
cana-5927	65	19	expected	expect	VERB
cana-5927	65	20	number	number	NOUN
cana-5927	65	21	of	of	ADP
cana-5927	65	22	claims	claim	NOUN
cana-5927	65	23	)	)	PUNCT
cana-5927	65	24	is	be	AUX
cana-5927	65	25	obtained	obtain	VERB
cana-5927	65	26	by	by	ADP
cana-5927	65	27	:	:	PUNCT
cana-5927	65	28	θ𝑡+1̂	θ𝑡+1̂	NOUN
cana-5927	65	29	=	=	PUNCT
cana-5927	65	30	𝐸[θ|𝑙1	𝐸[θ|𝑙1	NOUN
cana-5927	65	31	,	,	PUNCT
cana-5927	65	32	…	…	PUNCT
cana-5927	65	33	,	,	PUNCT
cana-5927	65	34	𝑙𝑡	𝑙𝑡	CCONJ
cana-5927	65	35	]	]	X
cana-5927	65	36	=	=	PUNCT
cana-5927	65	37	𝐸[𝑙1	𝐸[𝑙1	PROPN
cana-5927	65	38	,	,	PUNCT
cana-5927	65	39	…	…	PUNCT
cana-5927	65	40	,	,	PUNCT
cana-5927	65	41	𝑙𝑛|θ	𝑙𝑛|θ	ADP
cana-5927	65	42	]	]	PUNCT
cana-5927	65	43	=	=	SYM
cana-5927	65	44	∫	∫	PROPN
cana-5927	65	45	θπ∗(θ𝑖|𝑙1	θπ∗(θ𝑖|𝑙1	PROPN
cana-5927	65	46	,	,	PUNCT
cana-5927	65	47	…	…	PUNCT
cana-5927	65	48	,	,	PUNCT
cana-5927	65	49	𝑙𝑛	𝑙𝑛	PROPN
cana-5927	65	50	)	)	PUNCT
cana-5927	65	51	∞	∞	NOUN
cana-5927	65	52	0	0	NUM
cana-5927	66	1	=	=	SYM
cana-5927	66	2	(	(	PUNCT
cana-5927	66	3	𝑛	𝑛	PROPN
cana-5927	66	4	+	+	NUM
cana-5927	66	5	1)(𝑛	1)(𝑛	NUM
cana-5927	67	1	+	+	NUM
cana-5927	67	2	2)(𝑛	2)(𝑛	NUM
cana-5927	67	3	+	+	CCONJ
cana-5927	67	4	3	3	NUM
cana-5927	67	5	)	)	PUNCT
cana-5927	67	6	+	+	CCONJ
cana-5927	67	7	(	(	PUNCT
cana-5927	67	8	𝑛	𝑛	PRON
cana-5927	67	9	+	+	NUM
cana-5927	67	10	1)(𝑡	1)(𝑡	NUM
cana-5927	67	11	+	+	CCONJ
cana-5927	67	12	γ)2	γ)2	NOUN
cana-5927	67	13	(	(	PUNCT
cana-5927	67	14	𝑡	𝑡	X
cana-5927	67	15	+	+	X
cana-5927	67	16	γ)3	γ)3	X
cana-5927	67	17	+	+	CCONJ
cana-5927	67	18	(	(	PUNCT
cana-5927	67	19	𝑡	𝑡	PROPN
cana-5927	67	20	+	+	NOUN
cana-5927	67	21	γ)(𝑛	γ)(𝑛	NOUN
cana-5927	68	1	+	+	CCONJ
cana-5927	68	2	2)(𝑛	2)(𝑛	NUM
cana-5927	68	3	+	+	CCONJ
cana-5927	68	4	1	1	NUM
cana-5927	68	5	)	)	PUNCT
cana-5927	68	6	.	.	PUNCT
cana-5927	69	1	consider	consider	VERB
cana-5927	69	2	that	that	SCONJ
cana-5927	69	3	100	100	NUM
cana-5927	69	4	represents	represent	VERB
cana-5927	69	5	the	the	DET
cana-5927	69	6	initial	initial	ADJ
cana-5927	69	7	premium	premium	NOUN
cana-5927	69	8	at	at	ADP
cana-5927	69	9	time	time	NOUN
cana-5927	69	10	t=0.consequently	t=0.consequently	ADV
cana-5927	69	11	,	,	PUNCT
cana-5927	69	12	thepremiumattimet+1isdefinedthereby	thepremiumattimet+1isdefinedthereby	ADV
cana-5927	69	13	:	:	PUNCT
cana-5927	69	14	𝑃𝑟𝑒𝑚𝑖𝑢𝑚𝑡+1	𝑃𝑟𝑒𝑚𝑖𝑢𝑚𝑡+1	NOUN
cana-5927	69	15	=	=	SYM
cana-5927	69	16	100	100	NUM
cana-5927	69	17	θ𝑡+1̂	θ𝑡+1̂	NOUN
cana-5927	69	18	𝐸[𝑥	𝐸[𝑥	NOUN
cana-5927	69	19	]	]	X
cana-5927	70	1	=	=	SYM
cana-5927	70	2	100	100	NUM
cana-5927	70	3	θ(θ2	θ(θ2	NOUN
cana-5927	70	4	+	+	CCONJ
cana-5927	70	5	2	2	X
cana-5927	70	6	)	)	PUNCT
cana-5927	70	7	𝜃2	𝜃2	NOUN
cana-5927	70	8	+	+	NUM
cana-5927	70	9	6	6	NUM
cana-5927	70	10	(	(	PUNCT
cana-5927	70	11	𝑛	𝑛	PROPN
cana-5927	70	12	+	+	NUM
cana-5927	70	13	1)(𝑛	1)(𝑛	NUM
cana-5927	71	1	+	+	NUM
cana-5927	71	2	2)(𝑛	2)(𝑛	NUM
cana-5927	71	3	+	+	CCONJ
cana-5927	71	4	3	3	NUM
cana-5927	71	5	)	)	PUNCT
cana-5927	71	6	+	+	CCONJ
cana-5927	71	7	(	(	PUNCT
cana-5927	71	8	𝑛	𝑛	PRON
cana-5927	71	9	+	+	NUM
cana-5927	71	10	1)(𝑡	1)(𝑡	NUM
cana-5927	71	11	+	+	CCONJ
cana-5927	71	12	γ)2	γ)2	NOUN
cana-5927	71	13	(	(	PUNCT
cana-5927	71	14	𝑡	𝑡	X
cana-5927	71	15	+	+	X
cana-5927	71	16	γ)3	γ)3	X
cana-5927	71	17	+	+	CCONJ
cana-5927	71	18	(	(	PUNCT
cana-5927	71	19	𝑡	𝑡	PROPN
cana-5927	71	20	+	+	NOUN
cana-5927	71	21	γ)(𝑛	γ)(𝑛	NOUN
cana-5927	72	1	+	+	CCONJ
cana-5927	72	2	2)(𝑛	2)(𝑛	NUM
cana-5927	72	3	+	+	CCONJ
cana-5927	72	4	1	1	NUM
cana-5927	72	5	)	)	PUNCT
cana-5927	72	6	.	.	PUNCT
cana-5927	73	1	(	(	PUNCT
cana-5927	73	2	4	4	X
cana-5927	73	3	)	)	PUNCT
cana-5927	73	4	communications	communication	NOUN
cana-5927	73	5	on	on	ADP
cana-5927	73	6	applied	apply	VERB
cana-5927	73	7	nonlinear	nonlinear	ADJ
cana-5927	73	8	analysis	analysis	NOUN
cana-5927	73	9	issn	issn	NOUN
cana-5927	73	10	:	:	PUNCT
cana-5927	73	11	1074	1074	NUM
cana-5927	73	12	-	-	PUNCT
cana-5927	73	13	133x	133x	NUM
cana-5927	73	14	vol	vol	VERB
cana-5927	73	15	32	32	NUM
cana-5927	73	16	no	no	NOUN
cana-5927	73	17	.	.	PUNCT
cana-5927	74	1	10s	10	NOUN
cana-5927	74	2	(	(	PUNCT
cana-5927	74	3	2025	2025	NUM
cana-5927	74	4	)	)	PUNCT
cana-5927	74	5	3065	3065	NUM
cana-5927	74	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5927	74	7	2.4	2.4	NUM
cana-5927	74	8	.	.	PUNCT
cana-5927	75	1	premium	premium	NOUN
cana-5927	75	2	under	under	ADP
cana-5927	75	3	linex	linex	ADJ
cana-5927	75	4	loss	loss	NOUN
cana-5927	75	5	function	function	NOUN
cana-5927	75	6	:	:	PUNCT
cana-5927	75	7	the	the	DET
cana-5927	75	8	following	follow	VERB
cana-5927	75	9	subsection	subsection	NOUN
cana-5927	75	10	examinestheasymmetriclinexlossfunction.itexhibitsanexponentialincrease	examinestheasymmetriclinexlossfunction.itexhibitsanexponentialincrease	NOUN
cana-5927	75	11	on	on	ADP
cana-5927	75	12	one	one	NUM
cana-5927	75	13	side	side	NOUN
cana-5927	75	14	of	of	ADP
cana-5927	75	15	zero	zero	NUM
cana-5927	75	16	and	and	CCONJ
cana-5927	75	17	a	a	DET
cana-5927	75	18	linear	linear	ADJ
cana-5927	75	19	increase	increase	NOUN
cana-5927	75	20	on	on	ADP
cana-5927	75	21	the	the	DET
cana-5927	75	22	other	other	ADJ
cana-5927	75	23	one	one	NOUN
cana-5927	75	24	,	,	PUNCT
cana-5927	75	25	as	as	SCONJ
cana-5927	75	26	demonstrated	demonstrate	VERB
cana-5927	75	27	in	in	ADP
cana-5927	75	28	[	[	X
cana-5927	75	29	8	8	NUM
cana-5927	75	30	,	,	PUNCT
cana-5927	75	31	10	10	NUM
cana-5927	75	32	,	,	PUNCT
cana-5927	75	33	12].itisarticulatedas	12].itisarticulatedas	NUM
cana-5927	75	34	:	:	PUNCT
cana-5927	75	35	𝐿(θ̂	𝐿(θ̂	NUM
cana-5927	75	36	,	,	PUNCT
cana-5927	75	37	θ	θ	NOUN
cana-5927	75	38	)	)	PUNCT
cana-5927	75	39	=	=	SYM
cana-5927	75	40	exp	exp	NOUN
cana-5927	75	41	(	(	PUNCT
cana-5927	75	42	𝑎(θ̂	𝑎(θ̂	PROPN
cana-5927	75	43	−	−	PROPN
cana-5927	75	44	θ	θ	NOUN
cana-5927	75	45	)	)	PUNCT
cana-5927	75	46	)	)	PUNCT
cana-5927	75	47	−	−	PROPN
cana-5927	76	1	𝑎(θ̂	𝑎(θ̂	CCONJ
cana-5927	76	2	−	−	PROPN
cana-5927	76	3	θ	θ	NOUN
cana-5927	76	4	)	)	PUNCT
cana-5927	76	5	−	−	PROPN
cana-5927	76	6	1	1	NUM
cana-5927	76	7	,	,	PUNCT
cana-5927	76	8	      	      	SPACE
cana-5927	76	9	𝑎	𝑎	PRON
cana-5927	76	10	≠	≠	PROPN
cana-5927	76	11	0	0	NUM
cana-5927	76	12	,	,	PUNCT
cana-5927	76	13	where	where	SCONJ
cana-5927	76	14	𝜃	𝜃	PRON
cana-5927	76	15	denotes	denote	VERB
cana-5927	76	16	the	the	DET
cana-5927	76	17	estimator	estimator	NOUN
cana-5927	76	18	of	of	ADP
cana-5927	76	19	𝜃under	𝜃under	NOUN
cana-5927	76	20	the	the	DET
cana-5927	76	21	linex	linex	ADJ
cana-5927	76	22	loss	loss	NOUN
cana-5927	76	23	function	function	NOUN
cana-5927	76	24	that	that	PRON
cana-5927	76	25	minimizes	minimize	VERB
cana-5927	76	26	the	the	DET
cana-5927	76	27	aforementioned	aforementioned	ADJ
cana-5927	76	28	equation	equation	NOUN
cana-5927	76	29	(	(	PUNCT
cana-5927	76	30	see	see	VERB
cana-5927	76	31	[	[	X
cana-5927	76	32	13	13	NUM
cana-5927	76	33	]	]	NUM
cana-5927	76	34	)	)	PUNCT
cana-5927	76	35	,	,	PUNCT
cana-5927	76	36	𝜃can	𝜃can	NOUN
cana-5927	76	37	be	be	AUX
cana-5927	76	38	defined	define	VERB
cana-5927	76	39	as	as	ADP
cana-5927	76	40	:	:	PUNCT
cana-5927	76	41	θ	θ	NOUN
cana-5927	76	42	�	�	NOUN
cana-5927	76	43	̂	̂	SYM
cana-5927	76	44	�	�	NOUN
cana-5927	76	45	=	=	SYM
cana-5927	76	46	−	−	PROPN
cana-5927	76	47	1	1	NUM
cana-5927	76	48	α	α	NOUN
cana-5927	76	49	ln(𝐸[𝑒−αθ|𝑋	ln(𝐸[𝑒−αθ|𝑋	X
cana-5927	76	50	]	]	X
cana-5927	76	51	)	)	PUNCT
cana-5927	76	52	.	.	PUNCT
cana-5927	77	1	then	then	ADV
cana-5927	77	2	e[𝑒−αθ|𝑙1	e[𝑒−αθ|𝑙1	PROPN
cana-5927	77	3	,	,	PUNCT
cana-5927	77	4	…	…	PUNCT
cana-5927	77	5	,	,	PUNCT
cana-5927	77	6	𝑙𝑛	𝑙𝑛	X
cana-5927	77	7	]	]	X
cana-5927	77	8	=	=	SYM
cana-5927	77	9	∫	∫	PROPN
cana-5927	78	1	𝑒−αθ	𝑒−αθ	NOUN
cana-5927	78	2	∞	∞	PROPN
cana-5927	78	3	0	0	NUM
cana-5927	79	1	π∗(θ𝑖|𝑙1	π∗(θ𝑖|𝑙1	NUM
cana-5927	79	2	,	,	PUNCT
cana-5927	79	3	…	…	PUNCT
cana-5927	79	4	,	,	PUNCT
cana-5927	79	5	𝑙𝑛)dθ	𝑙𝑛)dθ	PROPN
cana-5927	79	6	∝	∝	PROPN
cana-5927	79	7	∫	∫	PROPN
cana-5927	79	8	θ𝑁+2	θ𝑁+2	PROPN
cana-5927	79	9	∞	∞	NOUN
cana-5927	79	10	0	0	NUM
cana-5927	80	1	𝑒−(𝑡+γ+α)θdθ	𝑒−(𝑡+γ+α)θdθ	PROPN
cana-5927	80	2	+	+	CCONJ
cana-5927	80	3	∫	∫	PROPN
cana-5927	80	4	θ𝑁	θ𝑁	PROPN
cana-5927	80	5	∞	∞	PROPN
cana-5927	80	6	0	0	NUM
cana-5927	80	7	𝑒−(𝑡+γ+α)θdθ	𝑒−(𝑡+γ+α)θdθ	PROPN
cana-5927	80	8	=	=	SYM
cana-5927	80	9	(	(	PUNCT
cana-5927	80	10	𝑡	𝑡	X
cana-5927	80	11	+	+	X
cana-5927	80	12	γ)𝑛+3(𝑛	γ)𝑛+3(𝑛	NOUN
cana-5927	80	13	+	+	CCONJ
cana-5927	80	14	1	1	NUM
cana-5927	80	15	+	+	NUM
cana-5927	80	16	𝑡	𝑡	NOUN
cana-5927	80	17	+	+	X
cana-5927	80	18	γ	γ	PROPN
cana-5927	80	19	+	+	NOUN
cana-5927	80	20	α	α	NOUN
cana-5927	80	21	)	)	PUNCT
cana-5927	81	1	[	[	X
cana-5927	81	2	(	(	PUNCT
cana-5927	81	3	𝑛	𝑛	PROPN
cana-5927	81	4	+	+	NUM
cana-5927	81	5	2)(𝑛	2)(𝑛	NUM
cana-5927	81	6	+	+	CCONJ
cana-5927	81	7	1	1	NUM
cana-5927	81	8	)	)	PUNCT
cana-5927	81	9	+	+	CCONJ
cana-5927	81	10	(	(	PUNCT
cana-5927	81	11	𝑡	𝑡	X
cana-5927	81	12	+	+	X
cana-5927	81	13	γ)2](𝑡	γ)2](𝑡	NOUN
cana-5927	81	14	+	+	CCONJ
cana-5927	81	15	γ	γ	X
cana-5927	81	16	+	+	NOUN
cana-5927	81	17	α)𝑛+2	α)𝑛+2	NOUN
cana-5927	81	18	.	.	PUNCT
cana-5927	82	1	finally	finally	ADV
cana-5927	82	2	θ	θ	X
cana-5927	82	3	�	�	PROPN
cana-5927	82	4	̂	̂	SYM
cana-5927	82	5	�	�	NOUN
cana-5927	82	6	=	=	SYM
cana-5927	82	7	−	−	PROPN
cana-5927	82	8	1	1	NUM
cana-5927	82	9	𝑎	𝑎	PRON
cana-5927	82	10	ln	ln	NOUN
cana-5927	82	11	(	(	PUNCT
cana-5927	82	12	(	(	PUNCT
cana-5927	82	13	𝑛	𝑛	PROPN
cana-5927	82	14	+	+	NUM
cana-5927	82	15	2)(𝑛	2)(𝑛	NUM
cana-5927	82	16	+	+	CCONJ
cana-5927	82	17	1	1	NUM
cana-5927	82	18	)	)	PUNCT
cana-5927	82	19	+	+	CCONJ
cana-5927	82	20	(	(	PUNCT
cana-5927	82	21	𝑡	𝑡	X
cana-5927	82	22	+	+	X
cana-5927	82	23	γ	γ	PROPN
cana-5927	82	24	+	+	ADJ
cana-5927	82	25	𝑎)2	𝑎)2	PROPN
cana-5927	82	26	(	(	PUNCT
cana-5927	82	27	𝑡	𝑡	X
cana-5927	82	28	+	+	X
cana-5927	82	29	γ	γ	X
cana-5927	82	30	+	+	X
cana-5927	82	31	𝑎)𝑛+3	𝑎)𝑛+3	NOUN
cana-5927	82	32	(	(	PUNCT
cana-5927	82	33	𝑡	𝑡	X
cana-5927	82	34	+	+	X
cana-5927	82	35	γ)𝑛+3	γ)𝑛+3	ADJ
cana-5927	82	36	(	(	PUNCT
cana-5927	82	37	𝑛	𝑛	PROPN
cana-5927	82	38	+	+	NUM
cana-5927	82	39	2)(𝑛	2)(𝑛	NUM
cana-5927	82	40	+	+	CCONJ
cana-5927	82	41	1	1	NUM
cana-5927	82	42	)	)	PUNCT
cana-5927	82	43	+	+	CCONJ
cana-5927	82	44	(	(	PUNCT
cana-5927	82	45	𝑡	𝑡	X
cana-5927	82	46	+	+	X
cana-5927	82	47	γ)2	γ)2	NOUN
cana-5927	82	48	)	)	PUNCT
cana-5927	82	49	.	.	PUNCT
cana-5927	83	1	attimet=0,thepremiumis100.thepremiumattimet+1isexpressedas	attimet=0,thepremiumis100.thepremiumattimet+1isexpressedas	PROPN
cana-5927	83	2	𝑃𝑟𝑒𝑚𝑖𝑢𝑚𝑡+1	𝑃𝑟𝑒𝑚𝑖𝑢𝑚𝑡+1	NOUN
cana-5927	83	3	=	=	SYM
cana-5927	83	4	100	100	NUM
cana-5927	83	5	γ(γ2	γ(γ2	NOUN
cana-5927	83	6	+	+	X
cana-5927	83	7	2	2	X
cana-5927	83	8	)	)	PUNCT
cana-5927	83	9	γ2	γ2	NOUN
cana-5927	83	10	+	+	CCONJ
cana-5927	83	11	6	6	NUM
cana-5927	83	12	∗	∗	NOUN
cana-5927	84	1	[	[	X
cana-5927	84	2	−	−	PROPN
cana-5927	84	3	1	1	NUM
cana-5927	84	4	𝑎	𝑎	NOUN
cana-5927	84	5	𝑙𝑛	𝑙𝑛	NOUN
cana-5927	84	6	(	(	PUNCT
cana-5927	84	7	(	(	PUNCT
cana-5927	84	8	𝑛	𝑛	PROPN
cana-5927	84	9	+	+	NUM
cana-5927	84	10	2)(𝑛	2)(𝑛	NUM
cana-5927	84	11	+	+	CCONJ
cana-5927	84	12	1	1	NUM
cana-5927	84	13	)	)	PUNCT
cana-5927	84	14	+	+	CCONJ
cana-5927	84	15	(	(	PUNCT
cana-5927	84	16	𝑡	𝑡	X
cana-5927	84	17	+	+	NOUN
cana-5927	84	18	𝛾	𝛾	X
cana-5927	84	19	+	+	CCONJ
cana-5927	84	20	𝑎)2	𝑎)2	PROPN
cana-5927	84	21	(	(	PUNCT
cana-5927	84	22	𝑡	𝑡	X
cana-5927	84	23	+	+	NOUN
cana-5927	84	24	𝛾	𝛾	ADP
cana-5927	84	25	+	+	X
cana-5927	84	26	𝑎)𝑛+3	𝑎)𝑛+3	NOUN
cana-5927	84	27	∗	∗	NOUN
cana-5927	84	28	∗	∗	NOUN
cana-5927	84	29	(	(	PUNCT
cana-5927	84	30	𝑡	𝑡	NOUN
cana-5927	84	31	+	+	X
cana-5927	84	32	𝛾)𝑛+3	𝛾)𝑛+3	NOUN
cana-5927	84	33	(	(	PUNCT
cana-5927	84	34	𝑛	𝑛	PROPN
cana-5927	84	35	+	+	NUM
cana-5927	84	36	2)(𝑛	2)(𝑛	NUM
cana-5927	84	37	+	+	CCONJ
cana-5927	84	38	1	1	NUM
cana-5927	84	39	)	)	PUNCT
cana-5927	84	40	+	+	CCONJ
cana-5927	84	41	(	(	PUNCT
cana-5927	84	42	𝑡	𝑡	X
cana-5927	84	43	+	+	X
cana-5927	84	44	𝛾)2	𝛾)2	NOUN
cana-5927	84	45	)	)	PUNCT
cana-5927	84	46	]	]	PUNCT
cana-5927	84	47	.	.	PUNCT
cana-5927	85	1	(	(	PUNCT
cana-5927	85	2	5	5	X
cana-5927	85	3	)	)	PUNCT
cana-5927	85	4	premiumunderentropylossfunction	premiumunderentropylossfunction	NOUN
cana-5927	85	5	:	:	PUNCT
cana-5927	85	6	thispartinterpretstheentropylossfunction.inv	thispartinterpretstheentropylossfunction.inv	X
cana-5927	85	7	ariousactualscenarios	ariousactualscenario	NOUN
cana-5927	85	8	,	,	PUNCT
cana-5927	85	9	itappearsmoresensibleto	itappearsmoresensibleto	NOUN
cana-5927	85	10	express	express	VERB
cana-5927	85	11	the	the	DET
cana-5927	85	12	loss	loss	NOUN
cana-5927	85	13	as	as	ADP
cana-5927	85	14	the	the	DET
cana-5927	85	15	ratio	ratio	NOUN
cana-5927	85	16	θ̂	θ̂	VERB
cana-5927	85	17	θ	θ	X
cana-5927	85	18	;	;	PUNCT
cana-5927	85	19	forthiscontext,[6]presenteda	forthiscontext,[6]presenteda	PROPN
cana-5927	85	20	loss	loss	NOUN
cana-5927	85	21	function	function	NOUN
cana-5927	85	22	referred	refer	VERB
cana-5927	85	23	to	to	ADP
cana-5927	85	24	as	as	SCONJ
cana-5927	85	25	entropy.this	entropy.this	PRON
cana-5927	85	26	loss	loss	NOUN
cana-5927	85	27	function	function	NOUN
cana-5927	85	28	serves	serve	VERB
cana-5927	85	29	as	as	ADP
cana-5927	85	30	a	a	DET
cana-5927	85	31	powerful	powerful	ADJ
cana-5927	85	32	asymmetric	asymmetric	ADJ
cana-5927	85	33	loss	loss	NOUN
cana-5927	85	34	which	which	PRON
cana-5927	85	35	assigns	assign	VERB
cana-5927	85	36	credit	credit	NOUN
cana-5927	85	37	for	for	ADP
cana-5927	85	38	both	both	CCONJ
cana-5927	85	39	underestimation	underestimation	NOUN
cana-5927	85	40	and	and	CCONJ
cana-5927	85	41	overestimation	overestimation	NOUN
cana-5927	85	42	,	,	PUNCT
cana-5927	85	43	defined	define	VERB
cana-5927	85	44	by	by	ADP
cana-5927	85	45	the	the	DET
cana-5927	85	46	following	follow	VERB
cana-5927	85	47	structure	structure	NOUN
cana-5927	85	48	.	.	PUNCT
cana-5927	86	1	l(θ	l(θ	X
cana-5927	86	2	�	�	NOUN
cana-5927	86	3	̂	̂	VERB
cana-5927	86	4	�	�	NOUN
cana-5927	86	5	−	−	NUM
cana-5927	86	6	θ	θ	NOUN
cana-5927	86	7	)	)	PUNCT
cana-5927	86	8	=	=	SYM
cana-5927	86	9	(	(	PUNCT
cana-5927	86	10	θ	θ	NOUN
cana-5927	86	11	�	�	PROPN
cana-5927	86	12	̂	̂	VERB
cana-5927	86	13	�	�	PROPN
cana-5927	86	14	θ	θ	PROPN
cana-5927	86	15	)	)	PUNCT
cana-5927	87	1	𝑞	𝑞	X
cana-5927	87	2	−	−	NOUN
cana-5927	87	3	q	q	X
cana-5927	87	4	ln	ln	ADJ
cana-5927	87	5	(	(	PUNCT
cana-5927	87	6	θ	θ	NOUN
cana-5927	87	7	�	�	PROPN
cana-5927	87	8	̂	̂	VERB
cana-5927	87	9	�	�	PROPN
cana-5927	87	10	θ	θ	PROPN
cana-5927	87	11	)	)	PUNCT
cana-5927	88	1	−	−	ADP
cana-5927	88	2	1	1	NUM
cana-5927	88	3	;	;	PUNCT
cana-5927	88	4	q	q	PROPN
cana-5927	88	5	≠	≠	PROPN
cana-5927	88	6	0	0	NUM
cana-5927	88	7	where𝜃	where𝜃	PROPN
cana-5927	88	8	�	�	PROPN
cana-5927	88	9	̂	̂	NOUN
cana-5927	88	10	�	�	NOUN
cana-5927	88	11	denotestheestimateof𝜃thatminimizestheaforementionedequationundertheentropylossf	denotestheestimateof𝜃thatminimizestheaforementionedequationundertheentropylossf	NOUN
cana-5927	88	12	unction	unction	NOUN
cana-5927	88	13	.	.	PUNCT
cana-5927	89	1	theexpressionfor𝜃	theexpressionfor𝜃	PROPN
cana-5927	89	2	�	�	PROPN
cana-5927	89	3	̂	̂	NUM
cana-5927	89	4	�	�	NOUN
cana-5927	89	5	isprovidedas	isprovidedas	PROPN
cana-5927	89	6	follows	follow	VERB
cana-5927	89	7	:	:	PUNCT
cana-5927	89	8	θ	θ	X
cana-5927	89	9	�	�	NOUN
cana-5927	89	10	̂	̂	SYM
cana-5927	89	11	�	�	NOUN
cana-5927	89	12	=	=	SYM
cana-5927	89	13	(	(	PUNCT
cana-5927	89	14	𝐸[θ−𝑝|𝑙1	𝐸[θ−𝑝|𝑙1	PROPN
cana-5927	89	15	,	,	PUNCT
cana-5927	89	16	…	…	PUNCT
cana-5927	89	17	,	,	PUNCT
cana-5927	89	18	𝑙𝑛	𝑙𝑛	X
cana-5927	89	19	]	]	X
cana-5927	89	20	)	)	PUNCT
cana-5927	89	21	−	−	PROPN
cana-5927	89	22	1	1	NUM
cana-5927	89	23	𝑝	𝑝	PROPN
cana-5927	89	24	𝐸[θ−𝑝|𝑙1	𝐸[θ−𝑝|𝑙1	PROPN
cana-5927	89	25	,	,	PUNCT
cana-5927	89	26	…	…	PUNCT
cana-5927	89	27	,	,	PUNCT
cana-5927	89	28	𝑙𝑛	𝑙𝑛	X
cana-5927	89	29	]	]	X
cana-5927	89	30	=	=	SYM
cana-5927	89	31	∫	∫	PROPN
cana-5927	89	32	θ−𝑝	θ−𝑝	PROPN
cana-5927	89	33	∞	∞	PROPN
cana-5927	89	34	0	0	NUM
cana-5927	89	35	 	 	SPACE
cana-5927	89	36	π∗(θ|𝑙1	π∗(θ|𝑙1	NOUN
cana-5927	89	37	,	,	PUNCT
cana-5927	89	38	…	…	PUNCT
cana-5927	89	39	,	,	PUNCT
cana-5927	89	40	𝑙𝑛	𝑙𝑛	NOUN
cana-5927	89	41	)	)	PUNCT
cana-5927	89	42	 	 	SPACE
cana-5927	89	43	𝑑θ	𝑑θ	ADP
cana-5927	89	44	communications	communication	NOUN
cana-5927	89	45	on	on	ADP
cana-5927	89	46	applied	apply	VERB
cana-5927	89	47	nonlinear	nonlinear	ADJ
cana-5927	89	48	analysis	analysis	NOUN
cana-5927	89	49	issn	issn	NOUN
cana-5927	89	50	:	:	PUNCT
cana-5927	89	51	1074	1074	NUM
cana-5927	89	52	-	-	PUNCT
cana-5927	89	53	133x	133x	NUM
cana-5927	89	54	vol	vol	VERB
cana-5927	89	55	32	32	NUM
cana-5927	89	56	no	no	NOUN
cana-5927	89	57	.	.	PUNCT
cana-5927	90	1	10s	10	NOUN
cana-5927	90	2	(	(	PUNCT
cana-5927	90	3	2025	2025	NUM
cana-5927	90	4	)	)	PUNCT
cana-5927	90	5	3066	3066	NUM
cana-5927	90	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5927	91	1	=	=	SYM
cana-5927	91	2	∫	∫	PROPN
cana-5927	91	3	θ−𝑝	θ−𝑝	PROPN
cana-5927	91	4	∞	∞	PROPN
cana-5927	91	5	0	0	PUNCT
cana-5927	91	6	 	 	SPACE
cana-5927	92	1	θ𝑁(1	θ𝑁(1	NUM
cana-5927	92	2	+	+	NUM
cana-5927	92	3	θ2	θ2	PROPN
cana-5927	92	4	)	)	PUNCT
cana-5927	92	5	 	 	SPACE
cana-5927	93	1	𝑒−θ(𝑡+γ	𝑒−θ(𝑡+γ	ADP
cana-5927	93	2	)	)	PUNCT
cana-5927	93	3	 	 	SPACE
cana-5927	93	4	𝑑θ	𝑑θ	ADP
cana-5927	93	5	=	=	PUNCT
cana-5927	93	6	[	[	PUNCT
cana-5927	93	7	γ(𝑛	γ(𝑛	PROPN
cana-5927	93	8	−	−	PROPN
cana-5927	93	9	𝑝	𝑝	PROPN
cana-5927	93	10	+	+	NOUN
cana-5927	93	11	3	3	NUM
cana-5927	93	12	)	)	PUNCT
cana-5927	93	13	(	(	PUNCT
cana-5927	93	14	𝑡	𝑡	X
cana-5927	93	15	+	+	ADJ
cana-5927	93	16	θ)𝑛−𝑝+3	θ)𝑛−𝑝+3	NOUN
cana-5927	93	17	+	+	SYM
cana-5927	93	18	+	+	NUM
cana-5927	93	19	γ(𝑛	γ(𝑛	PROPN
cana-5927	93	20	−	−	X
cana-5927	93	21	𝑝	𝑝	NOUN
cana-5927	93	22	+	+	NOUN
cana-5927	93	23	1	1	NUM
cana-5927	93	24	)	)	PUNCT
cana-5927	93	25	(	(	PUNCT
cana-5927	93	26	𝑡	𝑡	X
cana-5927	93	27	+	+	X
cana-5927	93	28	θ)𝑛−𝑝+1	θ)𝑛−𝑝+1	NOUN
cana-5927	93	29	]	]	PUNCT
cana-5927	93	30	(	(	PUNCT
cana-5927	93	31	𝑡	𝑡	NOUN
cana-5927	93	32	+	+	X
cana-5927	93	33	𝛾)𝑛+3	𝛾)𝑛+3	NOUN
cana-5927	93	34	γ(𝑛	γ(𝑛	PROPN
cana-5927	93	35	+	+	CCONJ
cana-5927	93	36	1)[(𝑛	1)[(𝑛	NUM
cana-5927	93	37	+	+	NUM
cana-5927	93	38	2)(𝑛	2)(𝑛	NUM
cana-5927	93	39	+	+	CCONJ
cana-5927	93	40	1	1	NUM
cana-5927	93	41	)	)	PUNCT
cana-5927	93	42	+	+	CCONJ
cana-5927	93	43	(	(	PUNCT
cana-5927	93	44	𝑡	𝑡	X
cana-5927	93	45	+	+	X
cana-5927	93	46	𝛾)2	𝛾)2	NOUN
cana-5927	93	47	]	]	PUNCT
cana-5927	93	48	𝐸[𝜃−𝑝|𝑙1	𝐸[𝜃−𝑝|𝑙1	PROPN
cana-5927	93	49	,	,	PUNCT
cana-5927	93	50	…	…	PUNCT
cana-5927	93	51	,	,	PUNCT
cana-5927	93	52	𝑙𝑛	𝑙𝑛	X
cana-5927	93	53	]	]	X
cana-5927	93	54	=	=	PUNCT
cana-5927	93	55	[	[	PUNCT
cana-5927	93	56	γ(𝑛	γ(𝑛	PROPN
cana-5927	93	57	−	−	PROPN
cana-5927	93	58	𝑝	𝑝	NOUN
cana-5927	93	59	+	+	NOUN
cana-5927	93	60	3	3	NUM
cana-5927	93	61	)	)	PUNCT
cana-5927	93	62	+	+	NOUN
cana-5927	94	1	γ(𝑛	γ(𝑛	PROPN
cana-5927	94	2	−	−	X
cana-5927	94	3	𝑝	𝑝	NOUN
cana-5927	94	4	+	+	CCONJ
cana-5927	94	5	1)(𝑡	1)(𝑡	NUM
cana-5927	94	6	+	+	CCONJ
cana-5927	94	7	𝛾)2	𝛾)2	NOUN
cana-5927	94	8	(	(	PUNCT
cana-5927	94	9	𝑡	𝑡	X
cana-5927	94	10	+	+	X
cana-5927	94	11	𝜃)𝑛−𝑝+3	𝜃)𝑛−𝑝+3	NOUN
cana-5927	94	12	]	]	PUNCT
cana-5927	94	13	∗	∗	NOUN
cana-5927	94	14	(	(	PUNCT
cana-5927	94	15	𝑡	𝑡	X
cana-5927	94	16	+	+	X
cana-5927	94	17	𝛾)𝑛+3	𝛾)𝑛+3	NOUN
cana-5927	95	1	[	[	X
cana-5927	95	2	γ(𝑛	γ(𝑛	PROPN
cana-5927	95	3	+	+	CCONJ
cana-5927	95	4	1)[(𝑛	1)[(𝑛	NUM
cana-5927	95	5	+	+	NUM
cana-5927	95	6	2)(𝑛	2)(𝑛	NUM
cana-5927	95	7	+	+	CCONJ
cana-5927	95	8	1	1	NUM
cana-5927	95	9	)	)	PUNCT
cana-5927	95	10	+	+	CCONJ
cana-5927	95	11	(	(	PUNCT
cana-5927	95	12	𝑡	𝑡	X
cana-5927	95	13	+	+	X
cana-5927	95	14	𝛾)2	𝛾)2	NOUN
cana-5927	95	15	]	]	X
cana-5927	95	16	]	]	X
cana-5927	95	17	finally	finally	ADV
cana-5927	95	18	θ	θ	X
cana-5927	95	19	�	�	PROPN
cana-5927	95	20	̂	̂	VERB
cana-5927	95	21	�	�	NOUN
cana-5927	95	22	=	=	PUNCT
cana-5927	95	23	=	=	PUNCT
cana-5927	96	1	[	[	X
cana-5927	96	2	(	(	PUNCT
cana-5927	96	3	γ(𝑛	γ(𝑛	PROPN
cana-5927	96	4	−	−	PROPN
cana-5927	96	5	𝑝	𝑝	PROPN
cana-5927	96	6	+	+	NOUN
cana-5927	96	7	3	3	NUM
cana-5927	96	8	)	)	PUNCT
cana-5927	96	9	+	+	NOUN
cana-5927	96	10	γ(𝑛	γ(𝑛	PROPN
cana-5927	96	11	−	−	X
cana-5927	96	12	𝑝	𝑝	NOUN
cana-5927	96	13	+	+	CCONJ
cana-5927	96	14	1)(𝑡	1)(𝑡	NUM
cana-5927	96	15	+	+	CCONJ
cana-5927	96	16	γ)2	γ)2	NOUN
cana-5927	96	17	(	(	PUNCT
cana-5927	96	18	𝑡	𝑡	X
cana-5927	96	19	+	+	ADJ
cana-5927	96	20	θ)𝑛−𝑝+3	θ)𝑛−𝑝+3	NOUN
cana-5927	96	21	)	)	PUNCT
cana-5927	96	22	∗	∗	NOUN
cana-5927	96	23	(	(	PUNCT
cana-5927	96	24	𝑡	𝑡	NOUN
cana-5927	96	25	+	+	X
cana-5927	96	26	γ)𝑛+3	γ)𝑛+3	ADJ
cana-5927	97	1	[	[	X
cana-5927	97	2	γ(𝑛	γ(𝑛	X
cana-5927	97	3	+	+	CCONJ
cana-5927	97	4	1)[(𝑛	1)[(𝑛	NUM
cana-5927	97	5	+	+	NUM
cana-5927	97	6	2)(𝑛	2)(𝑛	NUM
cana-5927	97	7	+	+	CCONJ
cana-5927	97	8	1	1	NUM
cana-5927	97	9	)	)	PUNCT
cana-5927	97	10	+	+	CCONJ
cana-5927	97	11	(	(	PUNCT
cana-5927	97	12	𝑡	𝑡	PROPN
cana-5927	97	13	+	+	X
cana-5927	97	14	γ)2	γ)2	NOUN
cana-5927	97	15	]	]	X
cana-5927	97	16	]	]	X
cana-5927	97	17	]	]	PUNCT
cana-5927	98	1	−	−	PROPN
cana-5927	98	2	1	1	NUM
cana-5927	98	3	𝑝	𝑝	PROPN
cana-5927	98	4	(	(	PUNCT
cana-5927	98	5	6	6	NUM
cana-5927	98	6	)	)	PUNCT
cana-5927	98	7	𝑃remiu𝑚𝑡+1	𝑃remiu𝑚𝑡+1	NOUN
cana-5927	98	8	=	=	SYM
cana-5927	98	9	100	100	NUM
cana-5927	98	10	γ(γ2	γ(γ2	NOUN
cana-5927	98	11	+	+	X
cana-5927	98	12	2	2	X
cana-5927	98	13	)	)	PUNCT
cana-5927	98	14	γ2	γ2	NOUN
cana-5927	98	15	+	+	CCONJ
cana-5927	98	16	6	6	NUM
cana-5927	98	17	∗	∗	NOUN
cana-5927	98	18	[	[	X
cana-5927	98	19	(	(	PUNCT
cana-5927	98	20	γ(𝑛	γ(𝑛	PROPN
cana-5927	98	21	−	−	PROPN
cana-5927	98	22	𝑝	𝑝	PROPN
cana-5927	98	23	+	+	NOUN
cana-5927	98	24	3	3	NUM
cana-5927	98	25	)	)	PUNCT
cana-5927	98	26	+	+	NOUN
cana-5927	99	1	γ(𝑛	γ(𝑛	PROPN
cana-5927	99	2	−	−	X
cana-5927	99	3	𝑝	𝑝	NOUN
cana-5927	99	4	+	+	CCONJ
cana-5927	99	5	1)(𝑡	1)(𝑡	NUM
cana-5927	99	6	+	+	CCONJ
cana-5927	99	7	γ)2	γ)2	NOUN
cana-5927	99	8	(	(	PUNCT
cana-5927	99	9	𝑡	𝑡	X
cana-5927	99	10	+	+	ADJ
cana-5927	99	11	θ)𝑛−𝑝+3	θ)𝑛−𝑝+3	NOUN
cana-5927	99	12	)	)	PUNCT
cana-5927	99	13	∗	∗	NOUN
cana-5927	99	14	(	(	PUNCT
cana-5927	99	15	𝑡	𝑡	NOUN
cana-5927	99	16	+	+	X
cana-5927	99	17	γ)𝑛+3	γ)𝑛+3	ADJ
cana-5927	100	1	[	[	X
cana-5927	100	2	γ(𝑛	γ(𝑛	X
cana-5927	100	3	+	+	CCONJ
cana-5927	100	4	1)[(𝑛	1)[(𝑛	NUM
cana-5927	100	5	+	+	NUM
cana-5927	100	6	2)(𝑛	2)(𝑛	NUM
cana-5927	100	7	+	+	CCONJ
cana-5927	100	8	1	1	NUM
cana-5927	100	9	)	)	PUNCT
cana-5927	100	10	+	+	CCONJ
cana-5927	100	11	(	(	PUNCT
cana-5927	100	12	𝑡	𝑡	PROPN
cana-5927	100	13	+	+	X
cana-5927	100	14	γ)2	γ)2	NOUN
cana-5927	100	15	]	]	X
cana-5927	100	16	]	]	X
cana-5927	100	17	]	]	PUNCT
cana-5927	100	18	−	−	PROPN
cana-5927	100	19	1	1	NUM
cana-5927	100	20	𝑝	𝑝	NOUN
cana-5927	100	21	.	.	PUNCT
cana-5927	101	1	(	(	PUNCT
cana-5927	101	2	7	7	NUM
cana-5927	101	3	)	)	PUNCT
cana-5927	101	4	3	3	NUM
cana-5927	101	5	.	.	PUNCT
cana-5927	102	1	claimseveritydistributionusinginversgammalindley	claimseveritydistributionusinginversgammalindley	PROPN
cana-5927	102	2	3.1	3.1	NUM
cana-5927	102	3	.	.	PUNCT
cana-5927	103	1	mixing	mix	VERB
cana-5927	103	2	distribution	distribution	NOUN
cana-5927	103	3	.	.	PUNCT
cana-5927	104	1	x	x	PRON
cana-5927	104	2	denote	denote	VERB
cana-5927	104	3	a	a	DET
cana-5927	104	4	random	random	ADJ
cana-5927	104	5	variable	variable	NOUN
cana-5927	104	6	that	that	PRON
cana-5927	104	7	signifies	signify	VERB
cana-5927	104	8	the	the	DET
cana-5927	104	9	claimsizeassociatedwitheachinsurer.letusconsiderthatxadherestoan	claimsizeassociatedwitheachinsurer.letusconsiderthatxadherestoan	NOUN
cana-5927	104	10	inversegamma	inversegamma	VERB
cana-5927	104	11	distribution	distribution	NOUN
cana-5927	104	12	,	,	PUNCT
cana-5927	104	13	characterized	characterize	VERB
cana-5927	104	14	by	by	ADP
cana-5927	104	15	the	the	DET
cana-5927	104	16	following	follow	VERB
cana-5927	104	17	probability	probability	NOUN
cana-5927	104	18	density	density	NOUN
cana-5927	104	19	function	function	NOUN
cana-5927	104	20	:	:	PUNCT
cana-5927	104	21	𝑓(𝑥|λ	𝑓(𝑥|λ	X
cana-5927	104	22	)	)	PUNCT
cana-5927	105	1	=	=	SYM
cana-5927	105	2	λα𝑥−α−1	λα𝑥−α−1	ADJ
cana-5927	105	3	γ(α	γ(α	NOUN
cana-5927	105	4	)	)	PUNCT
cana-5927	105	5	𝑒−	𝑒−	NOUN
cana-5927	106	1	λ	λ	PRON
cana-5927	106	2	𝑥.	𝑥.	VERB
cana-5927	106	3	the	the	DET
cana-5927	106	4	invers	invers	PROPN
cana-5927	106	5	-	-	PUNCT
cana-5927	106	6	gamma	gamma	PROPN
cana-5927	106	7	expected	expect	VERB
cana-5927	106	8	value	value	NOUN
cana-5927	106	9	is	be	AUX
cana-5927	106	10	𝐸[𝑋	𝐸[𝑋	ADV
cana-5927	106	11	]	]	PUNCT
cana-5927	107	1	=	=	PUNCT
cana-5927	107	2	λ	λ	X
cana-5927	107	3	α	α	NOUN
cana-5927	107	4	−	−	NOUN
cana-5927	107	5	1	1	NUM
cana-5927	107	6	.	.	PUNCT
cana-5927	108	1	let	let	VERB
cana-5927	108	2	λ	λ	PRON
cana-5927	108	3	be	be	AUX
cana-5927	108	4	a	a	DET
cana-5927	108	5	random	random	ADJ
cana-5927	108	6	variable	variable	NOUN
cana-5927	108	7	that	that	PRON
cana-5927	108	8	adheres	adhere	VERB
cana-5927	108	9	to	to	ADP
cana-5927	108	10	a	a	DET
cana-5927	108	11	lindley	lindley	NOUN
cana-5927	108	12	distribution	distribution	NOUN
cana-5927	108	13	characterized	characterize	VERB
cana-5927	108	14	by	by	ADP
cana-5927	108	15	the	the	DET
cana-5927	108	16	parameter	parameter	NOUN
cana-5927	108	17	β	β	PROPN
cana-5927	108	18	.	.	PUNCT
cana-5927	109	1	then	then	ADV
cana-5927	109	2	,	,	PUNCT
cana-5927	109	3	the	the	DET
cana-5927	109	4	representation	representation	NOUN
cana-5927	109	5	of	of	ADP
cana-5927	109	6	the	the	DET
cana-5927	109	7	pdf	pdf	NOUN
cana-5927	109	8	of	of	ADP
cana-5927	109	9	λ	λ	PROPN
cana-5927	109	10	is	be	AUX
cana-5927	109	11	provided	provide	VERB
cana-5927	109	12	as	as	ADP
cana-5927	109	13	:	:	PUNCT
cana-5927	109	14	π(λ	π(λ	NOUN
cana-5927	109	15	)	)	PUNCT
cana-5927	110	1	=	=	PUNCT
cana-5927	111	1	β2	β2	VERB
cana-5927	111	2	β	β	NOUN
cana-5927	111	3	+	+	NOUN
cana-5927	111	4	1	1	NUM
cana-5927	111	5	(	(	PUNCT
cana-5927	111	6	λ	λ	X
cana-5927	111	7	+	+	NOUN
cana-5927	111	8	1)𝑒−βλ	1)𝑒−βλ	NUM
cana-5927	111	9	.	.	PUNCT
cana-5927	112	1	thus	thus	ADV
cana-5927	112	2	,	,	PUNCT
cana-5927	112	3	the	the	DET
cana-5927	112	4	combination	combination	NOUN
cana-5927	112	5	of	of	ADP
cana-5927	112	6	the	the	DET
cana-5927	112	7	invers	inver	NOUN
cana-5927	112	8	-	-	PUNCT
cana-5927	112	9	gamma	gamma	PROPN
cana-5927	112	10	and	and	CCONJ
cana-5927	112	11	lindley	lindley	NOUN
cana-5927	112	12	distributions	distribution	NOUN
cana-5927	112	13	is	be	AUX
cana-5927	112	14	derived	derive	VERB
cana-5927	112	15	thereby	thereby	ADV
cana-5927	112	16	(	(	PUNCT
cana-5927	112	17	[	[	X
cana-5927	112	18	9	9	NUM
cana-5927	112	19	]	]	SYM
cana-5927	112	20	):	):	PUNCT
cana-5927	112	21	𝑓(𝑥	𝑓(𝑥	NOUN
cana-5927	112	22	)	)	PUNCT
cana-5927	113	1	=	=	SYM
cana-5927	113	2	∫	∫	PROPN
cana-5927	113	3	λα	λα	PROPN
cana-5927	113	4	γ(α	γ(α	PROPN
cana-5927	113	5	)	)	PUNCT
cana-5927	114	1	𝑥−α−1𝑒−	𝑥−α−1𝑒−	PROPN
cana-5927	114	2	λ	λ	X
cana-5927	114	3	𝑥	𝑥	X
cana-5927	114	4	β2	β2	VERB
cana-5927	114	5	β	β	NOUN
cana-5927	114	6	+	+	NOUN
cana-5927	114	7	1	1	NUM
cana-5927	114	8	(	(	PUNCT
cana-5927	114	9	λ	λ	X
cana-5927	114	10	+	+	NOUN
cana-5927	114	11	1)𝑒−βλ	1)𝑒−βλ	NUM
cana-5927	114	12	∞	∞	NUM
cana-5927	114	13	0	0	NUM
cana-5927	115	1	dλ	dλ	NOUN
cana-5927	116	1	=	=	SYM
cana-5927	117	1	𝑥−α−1β2(α	𝑥−α−1β2(α	X
cana-5927	117	2	+	+	NOUN
cana-5927	117	3	1	1	X
cana-5927	117	4	)	)	PUNCT
cana-5927	117	5	(	(	PUNCT
cana-5927	117	6	β	β	X
cana-5927	117	7	+	+	NOUN
cana-5927	117	8	1	1	NUM
cana-5927	117	9	)	)	PUNCT
cana-5927	117	10	(	(	PUNCT
cana-5927	117	11	β	β	X
cana-5927	117	12	+	+	NOUN
cana-5927	117	13	1	1	NUM
cana-5927	117	14	𝑥	𝑥	NOUN
cana-5927	117	15	)	)	PUNCT
cana-5927	117	16	α+2	α+2	PROPN
cana-5927	118	1	[	[	X
cana-5927	118	2	α	α	NOUN
cana-5927	118	3	+	+	NOUN
cana-5927	118	4	1	1	NUM
cana-5927	118	5	+	+	NUM
cana-5927	118	6	β	β	X
cana-5927	118	7	+	+	NOUN
cana-5927	118	8	1	1	NUM
cana-5927	118	9	𝑥	𝑥	NOUN
cana-5927	118	10	]	]	PUNCT
cana-5927	118	11	.	.	PUNCT
cana-5927	119	1	(	(	PUNCT
cana-5927	119	2	8)	8)	NUM
cana-5927	119	3	3.2	3.2	NUM
cana-5927	119	4	.	.	PUNCT
cana-5927	120	1	bayesianmethod.𝑁	bayesianmethod.𝑁	NOUN
cana-5927	120	2	=	=	PUNCT
cana-5927	120	3	∑	∑	PROPN
cana-5927	120	4	𝑙𝑖	𝑙𝑖	ADP
cana-5927	120	5	𝑡	𝑡	PROPN
cana-5927	120	6	𝑖=1	𝑖=1	PROPN
cana-5927	120	7	representsthetotalnumberofclaims	representsthetotalnumberofclaim	NOUN
cana-5927	120	8	submitted	submit	VERB
cana-5927	120	9	by	by	ADP
cana-5927	120	10	an	an	DET
cana-5927	120	11	insured	insure	VERB
cana-5927	120	12	over	over	ADP
cana-5927	120	13	a	a	DET
cana-5927	120	14	duration	duration	NOUN
cana-5927	120	15	of	of	ADP
cana-5927	120	16	t	t	NOUN
cana-5927	120	17	years	year	NOUN
cana-5927	120	18	.	.	PUNCT
cana-5927	121	1	define	define	VERB
cana-5927	121	2	x	x	PUNCT
cana-5927	121	3	as	as	SCONJ
cana-5927	121	4	the	the	DET
cana-5927	121	5	amount	amount	NOUN
cana-5927	121	6	of	of	ADP
cana-5927	121	7	claim𝑙where	claim𝑙where	NOUN
cana-5927	121	8	𝑙ranges	𝑙range	NOUN
cana-5927	121	9	from	from	ADP
cana-5927	121	10	1	1	NUM
cana-5927	121	11	to	to	ADP
cana-5927	121	12	𝑁.the	𝑁.the	DET
cana-5927	121	13	subsequent	subsequent	ADJ
cana-5927	121	14	expression	expression	NOUN
cana-5927	121	15	identifies	identify	VERB
cana-5927	121	16	the	the	DET
cana-5927	121	17	likelihood	likelihood	NOUN
cana-5927	121	18	function	function	NOUN
cana-5927	121	19	:	:	PUNCT
cana-5927	121	20	communications	communication	NOUN
cana-5927	121	21	on	on	ADP
cana-5927	121	22	applied	apply	VERB
cana-5927	121	23	nonlinear	nonlinear	ADJ
cana-5927	121	24	analysis	analysis	NOUN
cana-5927	121	25	issn	issn	NOUN
cana-5927	121	26	:	:	PUNCT
cana-5927	121	27	1074	1074	NUM
cana-5927	121	28	-	-	PUNCT
cana-5927	121	29	133x	133x	NUM
cana-5927	121	30	vol	vol	VERB
cana-5927	121	31	32	32	NUM
cana-5927	121	32	no	no	NOUN
cana-5927	121	33	.	.	PUNCT
cana-5927	122	1	10s	10	NOUN
cana-5927	122	2	(	(	PUNCT
cana-5927	122	3	2025	2025	NUM
cana-5927	122	4	)	)	PUNCT
cana-5927	122	5	3067	3067	NUM
cana-5927	122	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5927	123	1	l(λ	l(λ	PROPN
cana-5927	123	2	 	 	SPACE
cana-5927	123	3	|x1,	|x1,	NOUN
cana-5927	123	4	…	…	PUNCT
cana-5927	123	5	,xn	,xn	PUNCT
cana-5927	123	6	)	)	PUNCT
cana-5927	123	7	  	  	SPACE
cana-5927	124	1	=	=	PUNCT
cana-5927	124	2	f(x1,	f(x1,	NOUN
cana-5927	124	3	…	…	PUNCT
cana-5927	124	4	,xn|λ	,xn|λ	NOUN
cana-5927	124	5	 	 	SPACE
cana-5927	124	6	)	)	PUNCT
cana-5927	125	1	=	=	SYM
cana-5927	125	2	∏	∏	PROPN
cana-5927	125	3	𝜆	𝜆	NOUN
cana-5927	125	4	 	 	SPACE
cana-5927	125	5	𝛼	𝛼	NOUN
cana-5927	125	6	 	 	SPACE
cana-5927	125	7	𝑥−𝛼	𝑥−𝛼	NOUN
cana-5927	125	8	 	 	SPACE
cana-5927	125	9	−1	−1	ADV
cana-5927	125	10	γ	γ	NOUN
cana-5927	125	11	 	 	SPACE
cana-5927	125	12	(	(	PUNCT
cana-5927	125	13	𝛼	𝛼	NOUN
cana-5927	125	14	 	 	SPACE
cana-5927	125	15	)	)	PUNCT
cana-5927	125	16	𝑒	𝑒	PROPN
cana-5927	125	17	−𝜆	−𝜆	PROPN
cana-5927	125	18	  	  	SPACE
cana-5927	125	19	1	1	NUM
cana-5927	125	20	𝑥𝑖	𝑥𝑖	ADP
cana-5927	125	21	n	n	PROPN
cana-5927	125	22	i=1	i=1	PROPN
cana-5927	125	23	  	  	SPACE
cana-5927	125	24	=	=	PUNCT
cana-5927	126	1	λ	λ	NOUN
cana-5927	126	2	 	 	SPACE
cana-5927	126	3	nα	nα	VERB
cana-5927	126	4	  	  	SPACE
cana-5927	126	5	(	(	PUNCT
cana-5927	126	6	γ	γ	X
cana-5927	126	7	 	 	SPACE
cana-5927	126	8	(	(	PUNCT
cana-5927	126	9	α	α	NOUN
cana-5927	126	10	 	 	SPACE
cana-5927	126	11	)	)	PUNCT
cana-5927	126	12	)	)	PUNCT
cana-5927	127	1	n	n	CCONJ
cana-5927	127	2	∏	∏	NUM
cana-5927	127	3	x−α	x−α	NOUN
cana-5927	127	4	 	 	SPACE
cana-5927	127	5	−1	−1	NOUN
cana-5927	127	6	n	n	CCONJ
cana-5927	127	7	i=1	i=1	PROPN
cana-5927	127	8	e	e	PROPN
cana-5927	127	9	−λ	−λ	PROPN
cana-5927	127	10	  	  	SPACE
cana-5927	127	11	∑	∑	ADP
cana-5927	127	12	1	1	PROPN
cana-5927	127	13	xi	xi	ADP
cana-5927	127	14	n	n	PROPN
cana-5927	127	15	i=1	i=1	PROPN
cana-5927	127	16	  	  	SPACE
cana-5927	127	17	∝	∝	PROPN
cana-5927	127	18	 	 	SPACE
cana-5927	127	19	λ	λ	PROPN
cana-5927	127	20	 	 	SPACE
cana-5927	127	21	nα	nα	NOUN
cana-5927	127	22	 	 	SPACE
cana-5927	127	23	e	e	NOUN
cana-5927	127	24	−λ	−λ	PROPN
cana-5927	127	25	  	  	SPACE
cana-5927	127	26	∑	∑	ADP
cana-5927	127	27	1	1	PROPN
cana-5927	127	28	xi	xi	ADP
cana-5927	127	29	n	n	PROPN
cana-5927	127	30	i=1	i=1	PROPN
cana-5927	127	31	.	.	PUNCT
cana-5927	128	1	the	the	DET
cana-5927	128	2	following	follow	VERB
cana-5927	128	3	π(λ	π(λ	PROPN
cana-5927	128	4	)	)	PUNCT
cana-5927	128	5	denotes	denote	VERB
cana-5927	128	6	the	the	DET
cana-5927	128	7	prior	prior	ADJ
cana-5927	128	8	distribution	distribution	NOUN
cana-5927	128	9	π(λ	π(λ	NOUN
cana-5927	128	10	)	)	PUNCT
cana-5927	128	11	∝	∝	PROPN
cana-5927	129	1	(	(	PUNCT
cana-5927	129	2	λ	λ	X
cana-5927	129	3	+	+	NOUN
cana-5927	129	4	1)e−βλ	1)e−βλ	NUM
cana-5927	129	5	.	.	PUNCT
cana-5927	130	1	to	to	PART
cana-5927	130	2	determine	determine	VERB
cana-5927	130	3	the	the	DET
cana-5927	130	4	posterior	posterior	ADJ
cana-5927	130	5	distribution	distribution	NOUN
cana-5927	130	6	function	function	NOUN
cana-5927	130	7	,	,	PUNCT
cana-5927	130	8	we	we	PRON
cana-5927	130	9	utilize	utilize	VERB
cana-5927	130	10	bayes	bayes	PROPN
cana-5927	130	11	'	'	PART
cana-5927	130	12	theorem	theorem	NOUN
cana-5927	130	13	in	in	ADP
cana-5927	130	14	the	the	DET
cana-5927	130	15	following	following	ADJ
cana-5927	130	16	manner	manner	NOUN
cana-5927	130	17	:	:	PUNCT
cana-5927	130	18	π∗(λ|𝑥1,	π∗(λ|𝑥1,	PROPN
cana-5927	130	19	…	…	PUNCT
cana-5927	130	20	,𝑥𝑛	,𝑥𝑛	PUNCT
cana-5927	130	21	)	)	PUNCT
cana-5927	130	22	∝	∝	PROPN
cana-5927	130	23	𝑓(𝑥1,	𝑓(𝑥1,	PROPN
cana-5927	130	24	…	…	PUNCT
cana-5927	130	25	,𝑥𝑛|λ)π(λ	,𝑥𝑛|λ)π(λ	NUM
cana-5927	130	26	)	)	PUNCT
cana-5927	130	27	∝	∝	PROPN
cana-5927	130	28	λ𝑛α(1	λ𝑛α(1	NOUN
cana-5927	131	1	+	+	NUM
cana-5927	131	2	λ)𝑒	λ)𝑒	ADJ
cana-5927	131	3	−λ(β+∑	−λ(β+∑	NOUN
cana-5927	131	4	1	1	NUM
cana-5927	131	5	𝑥𝑖	𝑥𝑖	NUM
cana-5927	131	6	𝑛	𝑛	PRON
cana-5927	131	7	𝑖=1	𝑖=1	PROPN
cana-5927	131	8	)	)	PUNCT
cana-5927	131	9	.	.	PUNCT
cana-5927	132	1	thus	thus	ADV
cana-5927	132	2	,	,	PUNCT
cana-5927	132	3	the	the	DET
cana-5927	132	4	posterior	posterior	ADJ
cana-5927	132	5	distribution	distribution	NOUN
cana-5927	132	6	function	function	NOUN
cana-5927	132	7	for	for	ADP
cana-5927	132	8	the	the	DET
cana-5927	132	9	claim	claim	NOUN
cana-5927	132	10	severity	severity	NOUN
cana-5927	132	11	is	be	AUX
cana-5927	132	12	represented	represent	VERB
cana-5927	132	13	as	as	ADP
cana-5927	132	14	(	(	PUNCT
cana-5927	132	15	for	for	ADP
cana-5927	132	16	more	more	ADJ
cana-5927	132	17	detail	detail	NOUN
cana-5927	132	18	see[9	see[9	NUM
cana-5927	132	19	]	]	PUNCT
cana-5927	132	20	):	):	PUNCT
cana-5927	132	21	π∗(λ|𝑥1,	π∗(λ|𝑥1,	PROPN
cana-5927	132	22	…	…	PUNCT
cana-5927	132	23	,𝑥𝑛	,𝑥𝑛	PUNCT
cana-5927	132	24	)	)	PUNCT
cana-5927	132	25	=	=	SYM
cana-5927	133	1	(	(	PUNCT
cana-5927	133	2	β	β	X
cana-5927	133	3	+	+	CCONJ
cana-5927	133	4	∑	∑	PROPN
cana-5927	133	5	1	1	NUM
cana-5927	133	6	𝑥𝑖	𝑥𝑖	NUM
cana-5927	133	7	𝑛	𝑛	PRON
cana-5927	133	8	𝑖=1	𝑖=1	PUNCT
cana-5927	133	9	)	)	PUNCT
cana-5927	133	10	α𝑛+2	α𝑛+2	NUM
cana-5927	133	11	γ(α𝑛	γ(α𝑛	NOUN
cana-5927	133	12	+	+	CCONJ
cana-5927	133	13	1	1	X
cana-5927	133	14	)	)	PUNCT
cana-5927	133	15	(	(	PUNCT
cana-5927	133	16	α𝑛	α𝑛	NOUN
cana-5927	133	17	+	+	CCONJ
cana-5927	133	18	2	2	NUM
cana-5927	133	19	+	+	CCONJ
cana-5927	133	20	β	β	X
cana-5927	134	1	+	+	CCONJ
cana-5927	134	2	∑	∑	PROPN
cana-5927	134	3	1	1	NUM
cana-5927	134	4	𝑥𝑖	𝑥𝑖	NUM
cana-5927	134	5	𝑛	𝑛	PRON
cana-5927	134	6	𝑖=1	𝑖=1	PUNCT
cana-5927	134	7	)	)	PUNCT
cana-5927	134	8	λ𝑛α(1	λ𝑛α(1	PUNCT
cana-5927	135	1	+	+	PUNCT
cana-5927	135	2	λ)𝑒	λ)𝑒	ADJ
cana-5927	135	3	−λ(β+∑	−λ(β+∑	NOUN
cana-5927	135	4	1	1	NUM
cana-5927	135	5	𝑥𝑖	𝑥𝑖	NUM
cana-5927	135	6	𝑛	𝑛	PRON
cana-5927	135	7	𝑖=1	𝑖=1	PROPN
cana-5927	135	8	)	)	PUNCT
cana-5927	135	9	.	.	PUNCT
cana-5927	136	1	(	(	PUNCT
cana-5927	136	2	9	9	X
cana-5927	136	3	)	)	PUNCT
cana-5927	136	4	3.3	3.3	NUM
cana-5927	136	5	.	.	PUNCT
cana-5927	137	1	premium	premium	NOUN
cana-5927	137	2	under	under	ADP
cana-5927	137	3	quadratic	quadratic	ADJ
cana-5927	137	4	loss	loss	NOUN
cana-5927	137	5	function.for	function.for	ADP
cana-5927	137	6	an	an	DET
cana-5927	137	7	insured	insure	VERB
cana-5927	137	8	given	give	VERB
cana-5927	137	9	a	a	DET
cana-5927	137	10	claim	claim	NOUN
cana-5927	137	11	history	history	NOUN
cana-5927	137	12	𝑙1	𝑙1	NOUN
cana-5927	137	13	,	,	PUNCT
cana-5927	137	14	𝑙2	𝑙2	PROPN
cana-5927	137	15	,	,	PUNCT
cana-5927	137	16	…	…	PUNCT
cana-5927	137	17	,	,	PUNCT
cana-5927	137	18	𝑙𝑡	𝑙𝑡	CCONJ
cana-5927	137	19	,	,	PUNCT
cana-5927	137	20	the	the	DET
cana-5927	137	21	mean	mean	NOUN
cana-5927	137	22	of	of	ADP
cana-5927	137	23	the	the	DET
cana-5927	137	24	posterior	posterior	ADJ
cana-5927	137	25	distribution	distribution	NOUN
cana-5927	137	26	function	function	NOUN
cana-5927	137	27	for	for	ADP
cana-5927	137	28	poissonakash	poissonakash	ADJ
cana-5927	137	29	distribution	distribution	NOUN
cana-5927	137	30	(	(	PUNCT
cana-5927	137	31	or	or	CCONJ
cana-5927	137	32	the	the	DET
cana-5927	137	33	predicted	predict	VERB
cana-5927	137	34	claim	claim	NOUN
cana-5927	137	35	number	number	NOUN
cana-5927	137	36	)	)	PUNCT
cana-5927	137	37	is	be	AUX
cana-5927	137	38	:	:	PUNCT
cana-5927	137	39	λ𝑡+1	λ𝑡+1	PROPN
cana-5927	137	40	̂	̂	X
cana-5927	137	41	=	=	SYM
cana-5927	137	42	𝐸[λ|𝑥1	𝐸[λ|𝑥1	NOUN
cana-5927	137	43	,	,	PUNCT
cana-5927	137	44	…	…	PUNCT
cana-5927	137	45	,	,	PUNCT
cana-5927	137	46	𝑥𝑛	𝑥𝑛	PROPN
cana-5927	137	47	]	]	X
cana-5927	137	48	=	=	SYM
cana-5927	137	49	∫	∫	X
cana-5927	137	50	λπ∗(λ|𝑥1	λπ∗(λ|𝑥1	PROPN
cana-5927	137	51	,	,	PUNCT
cana-5927	137	52	…	…	PUNCT
cana-5927	137	53	,	,	PUNCT
cana-5927	137	54	𝑥𝑛)𝑑λ	𝑥𝑛)𝑑λ	X
cana-5927	137	55	∞	∞	NOUN
cana-5927	137	56	0	0	NUM
cana-5927	138	1	=	=	SYM
cana-5927	138	2	(	(	PUNCT
cana-5927	138	3	α𝑛	α𝑛	NOUN
cana-5927	138	4	+	+	NOUN
cana-5927	138	5	2	2	X
cana-5927	138	6	)	)	PUNCT
cana-5927	138	7	(	(	PUNCT
cana-5927	138	8	α𝑛	α𝑛	NOUN
cana-5927	138	9	+	+	CCONJ
cana-5927	138	10	3	3	NUM
cana-5927	138	11	+	+	CCONJ
cana-5927	138	12	β	β	X
cana-5927	138	13	+	+	CCONJ
cana-5927	138	14	∑	∑	PROPN
cana-5927	138	15	1	1	NUM
cana-5927	138	16	𝑥𝑖	𝑥𝑖	NUM
cana-5927	138	17	𝑛	𝑛	PRON
cana-5927	138	18	𝑖=1	𝑖=1	PROPN
cana-5927	138	19	)	)	PUNCT
cana-5927	138	20	(	(	PUNCT
cana-5927	138	21	β	β	X
cana-5927	138	22	+	+	CCONJ
cana-5927	138	23	∑	∑	PROPN
cana-5927	138	24	1	1	NUM
cana-5927	138	25	𝑥𝑖	𝑥𝑖	NUM
cana-5927	138	26	𝑛	𝑛	PRON
cana-5927	138	27	𝑖=1	𝑖=1	PROPN
cana-5927	138	28	)	)	PUNCT
cana-5927	139	1	(	(	PUNCT
cana-5927	139	2	α𝑛	α𝑛	NOUN
cana-5927	139	3	+	+	CCONJ
cana-5927	139	4	2	2	NUM
cana-5927	139	5	+	+	CCONJ
cana-5927	139	6	β	β	X
cana-5927	139	7	+	+	CCONJ
cana-5927	139	8	∑	∑	PROPN
cana-5927	139	9	1	1	NUM
cana-5927	139	10	𝑥𝑖	𝑥𝑖	NUM
cana-5927	139	11	𝑛	𝑛	PRON
cana-5927	139	12	𝑖=1	𝑖=1	PROPN
cana-5927	139	13	)	)	PUNCT
cana-5927	139	14	.	.	PUNCT
cana-5927	140	1	according	accord	VERB
cana-5927	140	2	to	to	ADP
cana-5927	140	3	𝐸[λ|𝑥1	𝐸[λ|𝑥1	NUM
cana-5927	140	4	,	,	PUNCT
cana-5927	140	5	…	…	PUNCT
cana-5927	140	6	,	,	PUNCT
cana-5927	140	7	𝑥𝑛	𝑥𝑛	PRON
cana-5927	140	8	]	]	X
cana-5927	140	9	=	=	VERB
cana-5927	141	1	λ̂.	λ̂.	ADJ
cana-5927	141	2	we	we	PRON
cana-5927	141	3	have	have	VERB
cana-5927	141	4	𝐸[𝑥1	𝐸[𝑥1	PROPN
cana-5927	141	5	,	,	PUNCT
cana-5927	141	6	…	…	PUNCT
cana-5927	141	7	,	,	PUNCT
cana-5927	142	1	𝑥𝑛|λ	𝑥𝑛|λ	NOUN
cana-5927	142	2	]	]	X
cana-5927	142	3	=	=	SYM
cana-5927	142	4	λ̂	λ̂	X
cana-5927	142	5	α	α	X
cana-5927	142	6	−	−	PROPN
cana-5927	142	7	1	1	NUM
cana-5927	142	8	.	.	PUNCT
cana-5927	143	1	consequently	consequently	ADV
cana-5927	143	2	𝐸[𝑥1	𝐸[𝑥1	PROPN
cana-5927	143	3	,	,	PUNCT
cana-5927	143	4	…	…	PUNCT
cana-5927	143	5	,	,	PUNCT
cana-5927	143	6	𝑥𝑛|λ	𝑥𝑛|λ	NOUN
cana-5927	143	7	]	]	X
cana-5927	143	8	=	=	X
cana-5927	143	9	(	(	PUNCT
cana-5927	143	10	α𝑛	α𝑛	NOUN
cana-5927	143	11	+	+	NOUN
cana-5927	143	12	2	2	X
cana-5927	143	13	)	)	PUNCT
cana-5927	143	14	(	(	PUNCT
cana-5927	143	15	α𝑛	α𝑛	NOUN
cana-5927	144	1	+	+	CCONJ
cana-5927	144	2	3	3	NUM
cana-5927	144	3	+	+	CCONJ
cana-5927	144	4	β	β	X
cana-5927	144	5	+	+	CCONJ
cana-5927	144	6	∑	∑	PROPN
cana-5927	144	7	1	1	NUM
cana-5927	144	8	𝑥𝑖	𝑥𝑖	NUM
cana-5927	144	9	𝑛	𝑛	PRON
cana-5927	144	10	𝑖=1	𝑖=1	PROPN
cana-5927	144	11	)	)	PUNCT
cana-5927	145	1	(	(	PUNCT
cana-5927	145	2	α	α	NOUN
cana-5927	145	3	−	−	PROPN
cana-5927	145	4	1	1	NUM
cana-5927	145	5	)	)	PUNCT
cana-5927	145	6	(	(	PUNCT
cana-5927	145	7	β	β	X
cana-5927	145	8	+	+	CCONJ
cana-5927	145	9	∑	∑	PROPN
cana-5927	145	10	1	1	NUM
cana-5927	145	11	𝑥𝑖	𝑥𝑖	NUM
cana-5927	145	12	𝑛	𝑛	PRON
cana-5927	145	13	𝑖=1	𝑖=1	PROPN
cana-5927	145	14	)	)	PUNCT
cana-5927	146	1	(	(	PUNCT
cana-5927	146	2	α𝑛	α𝑛	NOUN
cana-5927	146	3	+	+	CCONJ
cana-5927	146	4	2	2	NUM
cana-5927	146	5	+	+	CCONJ
cana-5927	146	6	β	β	X
cana-5927	146	7	+	+	CCONJ
cana-5927	146	8	∑	∑	PROPN
cana-5927	146	9	1	1	NUM
cana-5927	146	10	𝑥𝑖	𝑥𝑖	NUM
cana-5927	146	11	𝑛	𝑛	PRON
cana-5927	146	12	𝑖=1	𝑖=1	PROPN
cana-5927	146	13	)	)	PUNCT
cana-5927	146	14	.	.	PUNCT
cana-5927	147	1	(	(	PUNCT
cana-5927	147	2	10	10	NUM
cana-5927	147	3	)	)	PUNCT
cana-5927	147	4	3.4	3.4	NUM
cana-5927	147	5	.	.	PUNCT
cana-5927	148	1	premiumunderlinexlossfunction	premiumunderlinexlossfunction	NOUN
cana-5927	148	2	:	:	PUNCT
cana-5927	148	3	inthissection	inthissection	NOUN
cana-5927	148	4	,	,	PUNCT
cana-5927	148	5	also	also	ADV
cana-5927	148	6	,	,	PUNCT
cana-5927	148	7	weusedthevarian’sasymmetriclinexlossfunction	weusedthevarian’sasymmetriclinexlossfunction	NOUN
cana-5927	148	8	,	,	PUNCT
cana-5927	148	9	definedbythefollowingequation	definedbythefollowingequation	NOUN
cana-5927	148	10	:	:	PUNCT
cana-5927	148	11	𝐿(λ̂	𝐿(λ̂	NUM
cana-5927	148	12	,	,	PUNCT
cana-5927	148	13	λ	λ	NOUN
cana-5927	148	14	)	)	PUNCT
cana-5927	148	15	=	=	SYM
cana-5927	148	16	exp	exp	NOUN
cana-5927	148	17	(	(	PUNCT
cana-5927	148	18	𝑎(λ̂	𝑎(λ̂	PROPN
cana-5927	148	19	−	−	PROPN
cana-5927	148	20	λ	λ	PROPN
cana-5927	148	21	)	)	PUNCT
cana-5927	148	22	)	)	PUNCT
cana-5927	148	23	−	−	PROPN
cana-5927	149	1	𝑎(λ̂	𝑎(λ̂	VERB
cana-5927	149	2	−	−	PROPN
cana-5927	149	3	λ	λ	NOUN
cana-5927	149	4	)	)	PUNCT
cana-5927	149	5	−	−	PROPN
cana-5927	149	6	1	1	NUM
cana-5927	149	7	,	,	PUNCT
cana-5927	149	8	      	      	SPACE
cana-5927	150	1	𝑎	𝑎	PRON
cana-5927	150	2	≠	≠	PROPN
cana-5927	150	3	0	0	NUM
cana-5927	150	4	.	.	PUNCT
cana-5927	151	1	consider	consider	VERB
cana-5927	151	2	λ̂	λ̂	X
cana-5927	151	3	is	be	AUX
cana-5927	151	4	the	the	DET
cana-5927	151	5	estimator	estimator	NOUN
cana-5927	151	6	of	of	ADP
cana-5927	151	7	λ	λ	PROPN
cana-5927	151	8	under	under	ADP
cana-5927	151	9	the	the	DET
cana-5927	151	10	linex	linex	ADJ
cana-5927	151	11	loss	loss	NOUN
cana-5927	151	12	fonction	fonction	NOUN
cana-5927	151	13	which	which	PRON
cana-5927	151	14	minimizes	minimize	VERB
cana-5927	151	15	the	the	DET
cana-5927	151	16	precedent	precedent	NOUN
cana-5927	151	17	equation	equation	NOUN
cana-5927	151	18	,	,	PUNCT
cana-5927	151	19	λ̂	λ̂	X
cana-5927	151	20	is	be	AUX
cana-5927	151	21	given	give	VERB
cana-5927	151	22	by	by	ADP
cana-5927	151	23	:	:	PUNCT
cana-5927	151	24	λ	λ	PART
cana-5927	151	25	�	�	PROPN
cana-5927	151	26	̂	̂	VERB
cana-5927	151	27	�	�	NOUN
cana-5927	151	28	=	=	SYM
cana-5927	151	29	−	−	PROPN
cana-5927	151	30	1	1	NUM
cana-5927	151	31	𝑐	𝑐	PROPN
cana-5927	151	32	ln	ln	ADP
cana-5927	151	33	𝐸	𝐸	PROPN
cana-5927	151	34	(	(	PUNCT
cana-5927	151	35	𝑒−𝑐λ|𝑋	𝑒−𝑐λ|𝑋	PROPN
cana-5927	151	36	)	)	PUNCT
cana-5927	151	37	then	then	ADV
cana-5927	151	38	communications	communication	NOUN
cana-5927	151	39	on	on	ADP
cana-5927	151	40	applied	apply	VERB
cana-5927	151	41	nonlinear	nonlinear	ADJ
cana-5927	151	42	analysis	analysis	NOUN
cana-5927	151	43	issn	issn	NOUN
cana-5927	151	44	:	:	PUNCT
cana-5927	151	45	1074	1074	NUM
cana-5927	151	46	-	-	PUNCT
cana-5927	151	47	133x	133x	NUM
cana-5927	151	48	vol	vol	VERB
cana-5927	151	49	32	32	NUM
cana-5927	151	50	no	no	NOUN
cana-5927	151	51	.	.	PUNCT
cana-5927	152	1	10s	10	NOUN
cana-5927	152	2	(	(	PUNCT
cana-5927	152	3	2025	2025	NUM
cana-5927	152	4	)	)	PUNCT
cana-5927	152	5	3068	3068	NUM
cana-5927	152	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5927	152	7	𝐸(𝑒−𝑐λ|𝑋	𝐸(𝑒−𝑐λ|𝑋	PROPN
cana-5927	152	8	)	)	PUNCT
cana-5927	153	1	=	=	SYM
cana-5927	153	2	∫	∫	PROPN
cana-5927	153	3	𝐵𝑒−𝑐λ	𝐵𝑒−𝑐λ	PROPN
cana-5927	153	4	∞	∞	PROPN
cana-5927	153	5	0	0	NUM
cana-5927	153	6	π∗(λ𝑖|𝑥1	π∗(λ𝑖|𝑥1	NOUN
cana-5927	153	7	,	,	PUNCT
cana-5927	153	8	…	…	PUNCT
cana-5927	153	9	,	,	PUNCT
cana-5927	153	10	𝑥𝑛)𝑑λ	𝑥𝑛)𝑑λ	PUNCT
cana-5927	154	1	=	=	SYM
cana-5927	154	2	𝐵	𝐵	NOUN
cana-5927	154	3	∫	∫	NOUN
cana-5927	154	4	𝑒−𝑐λ	𝑒−𝑐λ	NOUN
cana-5927	154	5	∞	∞	PROPN
cana-5927	154	6	0	0	NUM
cana-5927	154	7	λα𝑛(1	λα𝑛(1	NOUN
cana-5927	154	8	+	+	PUNCT
cana-5927	154	9	λ)𝑒	λ)𝑒	NOUN
cana-5927	154	10	−λ(β+∑	−λ(β+∑	NOUN
cana-5927	154	11	1	1	NUM
cana-5927	154	12	𝑥𝑖	𝑥𝑖	NUM
cana-5927	154	13	𝑛	𝑛	PRON
cana-5927	154	14	𝑖=1	𝑖=1	PUNCT
cana-5927	154	15	)	)	PUNCT
cana-5927	154	16	𝑑λ	𝑑λ	NOUN
cana-5927	155	1	=	=	PUNCT
cana-5927	155	2	[	[	PUNCT
cana-5927	155	3	γ(α𝑛	γ(α𝑛	X
cana-5927	155	4	+	+	CCONJ
cana-5927	155	5	1	1	X
cana-5927	155	6	)	)	PUNCT
cana-5927	155	7	(	(	PUNCT
cana-5927	155	8	𝑐	𝑐	PROPN
cana-5927	155	9	+	+	NOUN
cana-5927	155	10	β	β	X
cana-5927	155	11	+	+	CCONJ
cana-5927	155	12	∑	∑	PROPN
cana-5927	155	13	1	1	NUM
cana-5927	155	14	𝑥𝑖	𝑥𝑖	NUM
cana-5927	155	15	𝑛	𝑛	PRON
cana-5927	155	16	𝑖=1	𝑖=1	PUNCT
cana-5927	155	17	)	)	PUNCT
cana-5927	155	18	α𝑛+1	α𝑛+1	PROPN
cana-5927	156	1	+	+	CCONJ
cana-5927	156	2	γ(α𝑛	γ(α𝑛	X
cana-5927	156	3	+	+	CCONJ
cana-5927	156	4	2	2	X
cana-5927	156	5	)	)	PUNCT
cana-5927	156	6	(	(	PUNCT
cana-5927	156	7	𝑐	𝑐	PROPN
cana-5927	156	8	+	+	NOUN
cana-5927	156	9	β	β	X
cana-5927	157	1	+	+	CCONJ
cana-5927	157	2	∑	∑	PROPN
cana-5927	157	3	1	1	NUM
cana-5927	157	4	𝑥𝑖	𝑥𝑖	NUM
cana-5927	157	5	𝑛	𝑛	DET
cana-5927	157	6	𝑖=1	𝑖=1	PROPN
cana-5927	157	7	)	)	PUNCT
cana-5927	157	8	α𝑛+2	α𝑛+2	X
cana-5927	157	9	]	]	X
cana-5927	157	10	∗	∗	NOUN
cana-5927	157	11	(	(	PUNCT
cana-5927	157	12	β	β	X
cana-5927	157	13	+	+	NOUN
cana-5927	157	14	∑	∑	PROPN
cana-5927	157	15	1	1	NUM
cana-5927	157	16	𝑥𝑖	𝑥𝑖	NUM
cana-5927	157	17	𝑛	𝑛	PRON
cana-5927	157	18	𝑖=1	𝑖=1	PUNCT
cana-5927	157	19	)	)	PUNCT
cana-5927	157	20	α𝑛+2	α𝑛+2	NUM
cana-5927	157	21	γ(α𝑛	γ(α𝑛	NOUN
cana-5927	157	22	+	+	CCONJ
cana-5927	157	23	1	1	X
cana-5927	157	24	)	)	PUNCT
cana-5927	158	1	[	[	X
cana-5927	158	2	α𝑛	α𝑛	NOUN
cana-5927	158	3	+	+	CCONJ
cana-5927	158	4	1	1	NUM
cana-5927	158	5	+	+	CCONJ
cana-5927	158	6	β	β	X
cana-5927	158	7	+	+	CCONJ
cana-5927	158	8	∑	∑	PROPN
cana-5927	158	9	1	1	NUM
cana-5927	158	10	𝑥𝑖	𝑥𝑖	NUM
cana-5927	158	11	𝑛	𝑛	PROPN
cana-5927	158	12	𝑖=1	𝑖=1	PUNCT
cana-5927	158	13	]	]	PUNCT
cana-5927	158	14	𝐸(𝑒−𝑐λ|𝑋	𝐸(𝑒−𝑐λ|𝑋	PROPN
cana-5927	158	15	)	)	PUNCT
cana-5927	159	1	=	=	PRON
cana-5927	159	2	(	(	PUNCT
cana-5927	159	3	β	β	X
cana-5927	159	4	+	+	CCONJ
cana-5927	159	5	∑	∑	PROPN
cana-5927	159	6	1	1	NUM
cana-5927	159	7	𝑥𝑖	𝑥𝑖	NUM
cana-5927	159	8	𝑛	𝑛	PRON
cana-5927	160	1	𝑖=1	𝑖=1	PUNCT
cana-5927	160	2	𝑐	𝑐	NOUN
cana-5927	160	3	+	+	NOUN
cana-5927	160	4	β	β	X
cana-5927	161	1	+	+	CCONJ
cana-5927	161	2	∑	∑	PROPN
cana-5927	161	3	1	1	NUM
cana-5927	161	4	𝑥𝑖	𝑥𝑖	NUM
cana-5927	161	5	𝑛	𝑛	PRON
cana-5927	161	6	𝑖=1	𝑖=1	PROPN
cana-5927	161	7	)	)	PUNCT
cana-5927	161	8	α𝑛+2	α𝑛+2	X
cana-5927	161	9	(	(	PUNCT
cana-5927	161	10	α𝑛	α𝑛	NOUN
cana-5927	162	1	+	+	NOUN
cana-5927	162	2	1	1	NUM
cana-5927	163	1	+	+	X
cana-5927	163	2	𝑐	𝑐	NOUN
cana-5927	163	3	+	+	NOUN
cana-5927	163	4	β	β	X
cana-5927	163	5	+	+	CCONJ
cana-5927	163	6	∑	∑	PROPN
cana-5927	163	7	1	1	NUM
cana-5927	163	8	𝑥𝑖	𝑥𝑖	NUM
cana-5927	163	9	𝑛	𝑛	PRON
cana-5927	163	10	𝑖=1	𝑖=1	PUNCT
cana-5927	163	11	α𝑛	α𝑛	NOUN
cana-5927	164	1	+	+	NOUN
cana-5927	164	2	1	1	NUM
cana-5927	164	3	+	+	CCONJ
cana-5927	164	4	β	β	X
cana-5927	164	5	+	+	CCONJ
cana-5927	164	6	∑	∑	PROPN
cana-5927	164	7	1	1	NUM
cana-5927	164	8	𝑥𝑖	𝑥𝑖	NUM
cana-5927	164	9	𝑛	𝑛	PRON
cana-5927	164	10	𝑖=1	𝑖=1	PUNCT
cana-5927	164	11	)	)	PUNCT
cana-5927	164	12	finally	finally	ADV
cana-5927	164	13	λ	λ	X
cana-5927	164	14	�	�	PROPN
cana-5927	164	15	̂	̂	VERB
cana-5927	164	16	�	�	NOUN
cana-5927	164	17	=	=	SYM
cana-5927	164	18	1	1	NUM
cana-5927	164	19	α	α	NOUN
cana-5927	164	20	−	−	NOUN
cana-5927	164	21	1	1	NUM
cana-5927	164	22	(	(	PUNCT
cana-5927	164	23	−	−	PROPN
cana-5927	164	24	1	1	NUM
cana-5927	164	25	𝑐	𝑐	NOUN
cana-5927	164	26	)	)	PUNCT
cana-5927	164	27	ln	ln	NOUN
cana-5927	165	1	[	[	X
cana-5927	165	2	(	(	PUNCT
cana-5927	165	3	β	β	X
cana-5927	165	4	+	+	NOUN
cana-5927	165	5	∑	∑	PROPN
cana-5927	165	6	1	1	NUM
cana-5927	165	7	𝑥𝑖	𝑥𝑖	NUM
cana-5927	165	8	𝑛	𝑛	PRON
cana-5927	165	9	𝑖=1	𝑖=1	PUNCT
cana-5927	165	10	𝑐	𝑐	NOUN
cana-5927	165	11	+	+	NOUN
cana-5927	165	12	β	β	X
cana-5927	166	1	+	+	CCONJ
cana-5927	166	2	∑	∑	PROPN
cana-5927	166	3	1	1	NUM
cana-5927	166	4	𝑥𝑖	𝑥𝑖	NUM
cana-5927	166	5	𝑛	𝑛	PRON
cana-5927	166	6	𝑖=1	𝑖=1	PROPN
cana-5927	166	7	)	)	PUNCT
cana-5927	166	8	α𝑛+2	α𝑛+2	X
cana-5927	166	9	(	(	PUNCT
cana-5927	166	10	α𝑛	α𝑛	NOUN
cana-5927	167	1	+	+	NOUN
cana-5927	167	2	1	1	NUM
cana-5927	168	1	+	+	X
cana-5927	168	2	𝑐	𝑐	NOUN
cana-5927	168	3	+	+	NOUN
cana-5927	168	4	β	β	X
cana-5927	168	5	+	+	CCONJ
cana-5927	168	6	∑	∑	PROPN
cana-5927	168	7	1	1	NUM
cana-5927	168	8	𝑥𝑖	𝑥𝑖	NUM
cana-5927	168	9	𝑛	𝑛	PRON
cana-5927	168	10	𝑖=1	𝑖=1	PUNCT
cana-5927	168	11	α𝑛	α𝑛	NOUN
cana-5927	169	1	+	+	NOUN
cana-5927	169	2	1	1	NUM
cana-5927	169	3	+	+	CCONJ
cana-5927	169	4	β	β	X
cana-5927	169	5	+	+	CCONJ
cana-5927	169	6	∑	∑	PROPN
cana-5927	169	7	1	1	NUM
cana-5927	169	8	𝑥𝑖	𝑥𝑖	NUM
cana-5927	169	9	𝑛	𝑛	PRON
cana-5927	169	10	𝑖=1	𝑖=1	PROPN
cana-5927	169	11	)	)	PUNCT
cana-5927	169	12	]	]	PUNCT
cana-5927	170	1	3.5	3.5	X
cana-5927	170	2	.	.	PUNCT
cana-5927	170	3	premium	premium	NOUN
cana-5927	170	4	under	under	ADP
cana-5927	170	5	entropy	entropy	PROPN
cana-5927	170	6	loss	loss	NOUN
cana-5927	170	7	function	function	NOUN
cana-5927	170	8	:	:	PUNCT
cana-5927	170	9	in	in	ADP
cana-5927	170	10	this	this	DET
cana-5927	170	11	part	part	NOUN
cana-5927	170	12	,	,	PUNCT
cana-5927	170	13	we	we	PRON
cana-5927	170	14	also	also	ADV
cana-5927	170	15	,	,	PUNCT
cana-5927	170	16	utilized	utilize	VERB
cana-5927	170	17	the	the	DET
cana-5927	170	18	entropy	entropy	NOUN
cana-5927	170	19	loss	loss	NOUN
cana-5927	170	20	function	function	NOUN
cana-5927	170	21	in	in	ADP
cana-5927	170	22	the	the	DET
cana-5927	170	23	following	following	ADJ
cana-5927	170	24	manner	manner	NOUN
cana-5927	170	25	:	:	PUNCT
cana-5927	170	26	λ	λ	X
cana-5927	170	27	�	�	NOUN
cana-5927	170	28	̂	̂	VERB
cana-5927	170	29	�	�	NOUN
cana-5927	170	30	=	=	PUNCT
cana-5927	171	1	[	[	X
cana-5927	172	1	𝐸(λ−𝑝|𝑋	𝐸(λ−𝑝|𝑋	NOUN
cana-5927	172	2	)	)	PUNCT
cana-5927	172	3	]	]	PUNCT
cana-5927	173	1	−	−	PROPN
cana-5927	173	2	1	1	NUM
cana-5927	173	3	𝑝	𝑝	NOUN
cana-5927	173	4	then	then	ADV
cana-5927	173	5	𝐸(λ−𝑝|𝑋	𝐸(λ−𝑝|𝑋	NOUN
cana-5927	173	6	)	)	PUNCT
cana-5927	173	7	=	=	SYM
cana-5927	173	8	∫	∫	PROPN
cana-5927	173	9	𝐵λ−𝑝∞	𝐵λ−𝑝∞	NOUN
cana-5927	173	10	0	0	NUM
cana-5927	173	11	π∗	π∗	PROPN
cana-5927	173	12	 	 	SPACE
cana-5927	173	13	(	(	PUNCT
cana-5927	173	14	λ𝑖|𝑥1	λ𝑖|𝑥1	NOUN
cana-5927	173	15	,	,	PUNCT
cana-5927	173	16	…	…	PUNCT
cana-5927	173	17	,	,	PUNCT
cana-5927	173	18	𝑥𝑛)𝑑λ	𝑥𝑛)𝑑λ	PUNCT
cana-5927	173	19	=	=	SYM
cana-5927	173	20	𝐵	𝐵	NOUN
cana-5927	173	21	∫	∫	NOUN
cana-5927	173	22	λ−𝑝∞	λ−𝑝∞	PROPN
cana-5927	173	23	0	0	NUM
cana-5927	173	24	λα𝑛(1	λα𝑛(1	NOUN
cana-5927	173	25	+	+	PUNCT
cana-5927	173	26	λ)𝑒	λ)𝑒	NOUN
cana-5927	173	27	−λ(β+∑	−λ(β+∑	NOUN
cana-5927	173	28	1	1	NUM
cana-5927	173	29	𝑥𝑖	𝑥𝑖	NUM
cana-5927	173	30	𝑛	𝑛	PRON
cana-5927	173	31	𝑖=1	𝑖=1	PUNCT
cana-5927	173	32	)	)	PUNCT
cana-5927	173	33	𝑑λ	𝑑λ	NOUN
cana-5927	174	1	=	=	PUNCT
cana-5927	175	1	[	[	PUNCT
cana-5927	175	2	γ(α𝑛	γ(α𝑛	NUM
cana-5927	175	3	−	−	PROPN
cana-5927	175	4	𝑝	𝑝	NOUN
cana-5927	175	5	+	+	NOUN
cana-5927	175	6	1	1	NUM
cana-5927	175	7	)	)	PUNCT
cana-5927	175	8	(	(	PUNCT
cana-5927	175	9	β	β	X
cana-5927	175	10	+	+	CCONJ
cana-5927	175	11	∑	∑	PROPN
cana-5927	175	12	1	1	NUM
cana-5927	175	13	𝑥𝑖	𝑥𝑖	NUM
cana-5927	175	14	𝑛	𝑛	PRON
cana-5927	175	15	𝑖=1	𝑖=1	PUNCT
cana-5927	175	16	)	)	PUNCT
cana-5927	175	17	α𝑛−𝑝+1	α𝑛−𝑝+1	NOUN
cana-5927	175	18	+	+	CCONJ
cana-5927	175	19	γ(α𝑛	γ(α𝑛	X
cana-5927	175	20	+	+	CCONJ
cana-5927	175	21	2	2	X
cana-5927	175	22	)	)	PUNCT
cana-5927	175	23	(	(	PUNCT
cana-5927	175	24	β	β	X
cana-5927	176	1	+	+	CCONJ
cana-5927	176	2	∑	∑	PROPN
cana-5927	176	3	1	1	NUM
cana-5927	176	4	𝑥𝑖	𝑥𝑖	NUM
cana-5927	176	5	𝑛	𝑛	DET
cana-5927	176	6	𝑖=1	𝑖=1	PROPN
cana-5927	176	7	)	)	PUNCT
cana-5927	176	8	α𝑛−𝑝+2	α𝑛−𝑝+2	PROPN
cana-5927	176	9	]	]	PUNCT
cana-5927	176	10	∗	∗	NOUN
cana-5927	176	11	(	(	PUNCT
cana-5927	176	12	β	β	X
cana-5927	176	13	+	+	NOUN
cana-5927	176	14	∑	∑	PROPN
cana-5927	176	15	1	1	NUM
cana-5927	176	16	𝑥𝑖	𝑥𝑖	NUM
cana-5927	176	17	𝑛	𝑛	PRON
cana-5927	176	18	𝑖=1	𝑖=1	PUNCT
cana-5927	176	19	)	)	PUNCT
cana-5927	176	20	α𝑛+2	α𝑛+2	NUM
cana-5927	176	21	γ(α𝑛	γ(α𝑛	NOUN
cana-5927	176	22	+	+	CCONJ
cana-5927	176	23	1	1	X
cana-5927	176	24	)	)	PUNCT
cana-5927	177	1	[	[	X
cana-5927	177	2	α𝑛	α𝑛	NOUN
cana-5927	177	3	+	+	CCONJ
cana-5927	177	4	1	1	NUM
cana-5927	177	5	+	+	CCONJ
cana-5927	177	6	β	β	X
cana-5927	177	7	+	+	CCONJ
cana-5927	177	8	∑	∑	PROPN
cana-5927	177	9	1	1	NUM
cana-5927	177	10	𝑥𝑖	𝑥𝑖	NUM
cana-5927	177	11	𝑛	𝑛	PROPN
cana-5927	177	12	𝑖=1	𝑖=1	PUNCT
cana-5927	177	13	]	]	PUNCT
cana-5927	177	14	𝐸(λ−𝑝|𝑋	𝐸(λ−𝑝|𝑋	NOUN
cana-5927	177	15	)	)	PUNCT
cana-5927	177	16	=	=	PUNCT
cana-5927	177	17	γ(α𝑛	γ(α𝑛	NUM
cana-5927	177	18	−	−	PROPN
cana-5927	177	19	𝑝	𝑝	NOUN
cana-5927	177	20	+	+	NOUN
cana-5927	177	21	1	1	NUM
cana-5927	177	22	)	)	PUNCT
cana-5927	178	1	[	[	X
cana-5927	178	2	α𝑛	α𝑛	NOUN
cana-5927	178	3	−	−	PROPN
cana-5927	178	4	𝑝	𝑝	PROPN
cana-5927	178	5	+	+	CCONJ
cana-5927	178	6	1	1	NUM
cana-5927	178	7	+	+	NUM
cana-5927	178	8	β	β	X
cana-5927	178	9	+	+	CCONJ
cana-5927	178	10	∑	∑	PROPN
cana-5927	178	11	1	1	NUM
cana-5927	178	12	𝑥𝑖	𝑥𝑖	NUM
cana-5927	178	13	𝑛	𝑛	PROPN
cana-5927	178	14	𝑖=1	𝑖=1	PUNCT
cana-5927	178	15	]	]	PUNCT
cana-5927	178	16	γ(α𝑛	γ(α𝑛	PUNCT
cana-5927	178	17	+	+	CCONJ
cana-5927	178	18	1	1	X
cana-5927	178	19	)	)	PUNCT
cana-5927	178	20	(	(	PUNCT
cana-5927	178	21	β	β	X
cana-5927	178	22	+	+	CCONJ
cana-5927	178	23	∑	∑	PROPN
cana-5927	178	24	1	1	NUM
cana-5927	178	25	𝑥𝑖	𝑥𝑖	NUM
cana-5927	178	26	𝑛	𝑛	PRON
cana-5927	178	27	𝑖=1	𝑖=1	PUNCT
cana-5927	178	28	)	)	PUNCT
cana-5927	179	1	[	[	X
cana-5927	179	2	α𝑛	α𝑛	NOUN
cana-5927	179	3	+	+	CCONJ
cana-5927	179	4	1	1	NUM
cana-5927	179	5	+	+	CCONJ
cana-5927	179	6	β	β	X
cana-5927	179	7	+	+	CCONJ
cana-5927	179	8	∑	∑	PROPN
cana-5927	179	9	1	1	NUM
cana-5927	179	10	𝑥𝑖	𝑥𝑖	NUM
cana-5927	179	11	𝑛	𝑛	PROPN
cana-5927	179	12	𝑖=1	𝑖=1	PUNCT
cana-5927	179	13	]	]	PUNCT
cana-5927	179	14	finally	finally	ADV
cana-5927	179	15	λ	λ	X
cana-5927	179	16	�	�	PROPN
cana-5927	179	17	̂	̂	VERB
cana-5927	179	18	�	�	NOUN
cana-5927	179	19	=	=	SYM
cana-5927	179	20	1	1	NUM
cana-5927	179	21	α	α	NOUN
cana-5927	179	22	−	−	NOUN
cana-5927	179	23	1	1	NUM
cana-5927	179	24	[	[	PUNCT
cana-5927	179	25	γ(α𝑛	γ(α𝑛	NUM
cana-5927	179	26	−	−	PROPN
cana-5927	179	27	𝑝	𝑝	NOUN
cana-5927	179	28	+	+	NOUN
cana-5927	179	29	1	1	NUM
cana-5927	179	30	)	)	PUNCT
cana-5927	179	31	[	[	X
cana-5927	179	32	α𝑛	α𝑛	NOUN
cana-5927	179	33	−	−	PROPN
cana-5927	179	34	𝑝	𝑝	PROPN
cana-5927	179	35	+	+	CCONJ
cana-5927	179	36	1	1	NUM
cana-5927	179	37	+	+	NUM
cana-5927	179	38	β	β	X
cana-5927	179	39	+	+	CCONJ
cana-5927	179	40	∑	∑	PROPN
cana-5927	179	41	1	1	NUM
cana-5927	179	42	𝑥𝑖	𝑥𝑖	NUM
cana-5927	179	43	𝑛	𝑛	PROPN
cana-5927	179	44	𝑖=1	𝑖=1	PUNCT
cana-5927	179	45	]	]	PUNCT
cana-5927	179	46	γ(α𝑛	γ(α𝑛	PUNCT
cana-5927	179	47	+	+	CCONJ
cana-5927	179	48	1	1	X
cana-5927	179	49	)	)	PUNCT
cana-5927	179	50	(	(	PUNCT
cana-5927	179	51	β	β	X
cana-5927	179	52	+	+	CCONJ
cana-5927	179	53	∑	∑	PROPN
cana-5927	179	54	1	1	NUM
cana-5927	179	55	𝑥𝑖	𝑥𝑖	NUM
cana-5927	179	56	𝑛	𝑛	PRON
cana-5927	179	57	𝑖=1	𝑖=1	PUNCT
cana-5927	179	58	)	)	PUNCT
cana-5927	180	1	[	[	X
cana-5927	180	2	α𝑛	α𝑛	NOUN
cana-5927	180	3	+	+	CCONJ
cana-5927	180	4	1	1	NUM
cana-5927	180	5	+	+	CCONJ
cana-5927	180	6	β	β	X
cana-5927	180	7	+	+	CCONJ
cana-5927	180	8	∑	∑	PROPN
cana-5927	180	9	1	1	NUM
cana-5927	180	10	𝑥𝑖	𝑥𝑖	NUM
cana-5927	180	11	𝑛	𝑛	PROPN
cana-5927	180	12	𝑖=1	𝑖=1	PUNCT
cana-5927	180	13	]	]	PUNCT
cana-5927	180	14	]	]	PUNCT
cana-5927	181	1	−	−	PROPN
cana-5927	181	2	1	1	NUM
cana-5927	181	3	𝑝	𝑝	PROPN
cana-5927	181	4	4	4	NUM
cana-5927	181	5	.	.	PUNCT
cana-5927	182	1	finalpremiumsusingbothfrequencyandclaimseverity	finalpremiumsusingbothfrequencyandclaimseverity	NOUN
cana-5927	182	2	the	the	DET
cana-5927	182	3	tables	table	NOUN
cana-5927	182	4	bellow	bellow	ADV
cana-5927	182	5	represents	represent	VERB
cana-5927	182	6	the	the	DET
cana-5927	182	7	final	final	ADJ
cana-5927	182	8	premiums	premium	NOUN
cana-5927	182	9	that	that	PRON
cana-5927	182	10	will	will	AUX
cana-5927	182	11	be	be	AUX
cana-5927	182	12	used	use	VERB
cana-5927	182	13	in	in	ADP
cana-5927	182	14	the	the	DET
cana-5927	182	15	numerical	numerical	PROPN
cana-5927	182	16	application	application	NOUN
cana-5927	182	17	communications	communication	NOUN
cana-5927	182	18	on	on	ADP
cana-5927	182	19	applied	apply	VERB
cana-5927	182	20	nonlinear	nonlinear	ADJ
cana-5927	182	21	analysis	analysis	NOUN
cana-5927	182	22	issn	issn	NOUN
cana-5927	182	23	:	:	PUNCT
cana-5927	182	24	1074	1074	NUM
cana-5927	182	25	-	-	PUNCT
cana-5927	182	26	133x	133x	NUM
cana-5927	182	27	vol	vol	VERB
cana-5927	182	28	32	32	NUM
cana-5927	182	29	no	no	NOUN
cana-5927	182	30	.	.	PUNCT
cana-5927	183	1	10s	10	NOUN
cana-5927	183	2	(	(	PUNCT
cana-5927	183	3	2025	2025	NUM
cana-5927	183	4	)	)	PUNCT
cana-5927	183	5	3069	3069	NUM
cana-5927	183	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5927	184	1	table1.finalpremiumsusinginversgammalindleydistribution	table1.finalpremiumsusinginversgammalindleydistribution	NOUN
cana-5927	184	2	under	under	ADP
cana-5927	184	3	quadratic	quadratic	ADJ
cana-5927	184	4	loss	loss	NOUN
cana-5927	184	5	function	function	NOUN
cana-5927	184	6	for	for	ADP
cana-5927	184	7	the	the	DET
cana-5927	184	8	claim	claim	NOUN
cana-5927	184	9	severity	severity	NOUN
cana-5927	184	10	claimfrequencydistri	claimfrequencydistri	ADJ
cana-5927	184	11	bution	bution	NOUN
cana-5927	184	12	finalpremium	finalpremium	PROPN
cana-5927	184	13	poissonakashunder	poissonakashunder	PROPN
cana-5927	184	14	𝑃𝑟𝑒𝑚𝑖𝑢𝑚𝑡+1	𝑃𝑟𝑒𝑚𝑖𝑢𝑚𝑡+1	NOUN
cana-5927	184	15	=	=	SYM
cana-5927	184	16	100	100	NUM
cana-5927	184	17	γ(γ2	γ(γ2	NOUN
cana-5927	184	18	+	+	X
cana-5927	184	19	2	2	X
cana-5927	184	20	)	)	PUNCT
cana-5927	184	21	γ2	γ2	NOUN
cana-5927	184	22	+	+	CCONJ
cana-5927	184	23	6	6	NUM
cana-5927	184	24	∗	∗	NOUN
cana-5927	184	25	(	(	PUNCT
cana-5927	184	26	𝑛	𝑛	PROPN
cana-5927	184	27	+	+	NUM
cana-5927	184	28	1)(𝑛	1)(𝑛	NUM
cana-5927	185	1	+	+	NUM
cana-5927	185	2	2)(𝑛	2)(𝑛	NUM
cana-5927	185	3	+	+	CCONJ
cana-5927	185	4	3	3	NUM
cana-5927	185	5	)	)	PUNCT
cana-5927	185	6	+	+	CCONJ
cana-5927	185	7	(	(	PUNCT
cana-5927	185	8	𝑛	𝑛	PRON
cana-5927	185	9	+	+	NUM
cana-5927	185	10	1)(𝑡	1)(𝑡	NUM
cana-5927	185	11	+	+	CCONJ
cana-5927	185	12	γ)2	γ)2	NOUN
cana-5927	185	13	(	(	PUNCT
cana-5927	185	14	𝑡	𝑡	X
cana-5927	185	15	+	+	X
cana-5927	185	16	γ)3	γ)3	X
cana-5927	185	17	+	+	CCONJ
cana-5927	185	18	(	(	PUNCT
cana-5927	185	19	𝑡	𝑡	PROPN
cana-5927	185	20	+	+	NOUN
cana-5927	185	21	γ)(𝑛	γ)(𝑛	NOUN
cana-5927	186	1	+	+	CCONJ
cana-5927	186	2	2)(𝑛	2)(𝑛	NUM
cana-5927	186	3	+	+	CCONJ
cana-5927	186	4	1	1	X
cana-5927	186	5	)	)	PUNCT
cana-5927	186	6	∗	∗	NOUN
cana-5927	186	7	∗	∗	NOUN
cana-5927	186	8	(	(	PUNCT
cana-5927	186	9	α𝑛	α𝑛	NOUN
cana-5927	186	10	+	+	NOUN
cana-5927	186	11	2	2	NUM
cana-5927	186	12	)	)	PUNCT
cana-5927	186	13	(	(	PUNCT
cana-5927	186	14	α𝑛	α𝑛	NOUN
cana-5927	186	15	+	+	CCONJ
cana-5927	186	16	3	3	NUM
cana-5927	186	17	+	+	CCONJ
cana-5927	186	18	β	β	X
cana-5927	187	1	+	+	CCONJ
cana-5927	187	2	∑	∑	PROPN
cana-5927	187	3	1	1	NUM
cana-5927	187	4	𝑥𝑖	𝑥𝑖	NUM
cana-5927	187	5	𝑛	𝑛	PRON
cana-5927	187	6	𝑖=1	𝑖=1	PROPN
cana-5927	187	7	)	)	PUNCT
cana-5927	188	1	(	(	PUNCT
cana-5927	188	2	α	α	NOUN
cana-5927	188	3	−	−	PROPN
cana-5927	188	4	1	1	NUM
cana-5927	188	5	)	)	PUNCT
cana-5927	188	6	(	(	PUNCT
cana-5927	188	7	β	β	X
cana-5927	188	8	+	+	CCONJ
cana-5927	188	9	∑	∑	PROPN
cana-5927	188	10	1	1	NUM
cana-5927	188	11	𝑥𝑖	𝑥𝑖	NUM
cana-5927	188	12	𝑛	𝑛	PRON
cana-5927	188	13	𝑖=1	𝑖=1	PROPN
cana-5927	188	14	)	)	PUNCT
cana-5927	189	1	(	(	PUNCT
cana-5927	189	2	α𝑛	α𝑛	NOUN
cana-5927	189	3	+	+	CCONJ
cana-5927	189	4	2	2	NUM
cana-5927	189	5	+	+	CCONJ
cana-5927	189	6	β	β	X
cana-5927	189	7	+	+	CCONJ
cana-5927	189	8	∑	∑	PROPN
cana-5927	189	9	1	1	NUM
cana-5927	189	10	𝑥𝑖	𝑥𝑖	NUM
cana-5927	189	11	𝑛	𝑛	PRON
cana-5927	189	12	𝑖=1	𝑖=1	PROPN
cana-5927	189	13	)	)	PUNCT
cana-5927	189	14	.	.	PUNCT
cana-5927	190	1	(	(	PUNCT
cana-5927	190	2	11	11	X
cana-5927	190	3	)	)	PUNCT
cana-5927	190	4	quadraticloss	quadraticloss	ADJ
cana-5927	190	5	function(4	function(4	NOUN
cana-5927	190	6	)	)	PUNCT
cana-5927	190	7	poissonakashunder	poissonakashunder	NOUN
cana-5927	190	8	𝑃𝑟𝑒𝑚𝑖𝑢𝑚𝑡+1	𝑃𝑟𝑒𝑚𝑖𝑢𝑚𝑡+1	NOUN
cana-5927	190	9	=	=	SYM
cana-5927	190	10	100	100	NUM
cana-5927	190	11	γ(γ2	γ(γ2	NOUN
cana-5927	190	12	+	+	X
cana-5927	190	13	2	2	X
cana-5927	190	14	)	)	PUNCT
cana-5927	190	15	γ2	γ2	NOUN
cana-5927	190	16	+	+	CCONJ
cana-5927	190	17	6	6	NUM
cana-5927	190	18	∗	∗	NOUN
cana-5927	191	1	[	[	X
cana-5927	191	2	−	−	PROPN
cana-5927	191	3	1	1	NUM
cana-5927	191	4	𝑎	𝑎	NOUN
cana-5927	191	5	𝑙𝑛	𝑙𝑛	NOUN
cana-5927	191	6	(	(	PUNCT
cana-5927	191	7	(	(	PUNCT
cana-5927	191	8	𝑛	𝑛	PROPN
cana-5927	191	9	+	+	NUM
cana-5927	191	10	2)(𝑛	2)(𝑛	NUM
cana-5927	191	11	+	+	CCONJ
cana-5927	191	12	1	1	NUM
cana-5927	191	13	)	)	PUNCT
cana-5927	191	14	+	+	CCONJ
cana-5927	191	15	(	(	PUNCT
cana-5927	191	16	𝑡	𝑡	X
cana-5927	191	17	+	+	NOUN
cana-5927	191	18	𝛾	𝛾	X
cana-5927	191	19	+	+	CCONJ
cana-5927	191	20	𝑎)2	𝑎)2	PROPN
cana-5927	191	21	(	(	PUNCT
cana-5927	191	22	𝑡	𝑡	X
cana-5927	191	23	+	+	NOUN
cana-5927	191	24	𝛾	𝛾	ADP
cana-5927	191	25	+	+	X
cana-5927	191	26	𝑎)𝑛+3	𝑎)𝑛+3	NOUN
cana-5927	191	27	∗	∗	NOUN
cana-5927	191	28	∗	∗	NOUN
cana-5927	191	29	(	(	PUNCT
cana-5927	191	30	𝑡	𝑡	NOUN
cana-5927	191	31	+	+	X
cana-5927	191	32	𝛾)𝑛+3	𝛾)𝑛+3	NOUN
cana-5927	191	33	(	(	PUNCT
cana-5927	191	34	𝑛	𝑛	PROPN
cana-5927	191	35	+	+	NUM
cana-5927	191	36	2)(𝑛	2)(𝑛	NUM
cana-5927	191	37	+	+	CCONJ
cana-5927	191	38	1	1	NUM
cana-5927	191	39	)	)	PUNCT
cana-5927	191	40	+	+	CCONJ
cana-5927	191	41	(	(	PUNCT
cana-5927	191	42	𝑡	𝑡	X
cana-5927	191	43	+	+	X
cana-5927	191	44	𝛾)2	𝛾)2	NOUN
cana-5927	191	45	)	)	PUNCT
cana-5927	191	46	]	]	PUNCT
cana-5927	192	1	∗	∗	NOUN
cana-5927	192	2	(	(	PUNCT
cana-5927	192	3	α𝑛	α𝑛	NOUN
cana-5927	192	4	+	+	NOUN
cana-5927	192	5	2	2	NUM
cana-5927	192	6	)	)	PUNCT
cana-5927	192	7	(	(	PUNCT
cana-5927	192	8	α𝑛	α𝑛	NOUN
cana-5927	192	9	+	+	CCONJ
cana-5927	192	10	3	3	NUM
cana-5927	192	11	+	+	CCONJ
cana-5927	192	12	β	β	X
cana-5927	192	13	+	+	CCONJ
cana-5927	192	14	∑	∑	PROPN
cana-5927	192	15	1	1	NUM
cana-5927	192	16	𝑥𝑖	𝑥𝑖	NUM
cana-5927	192	17	𝑛	𝑛	PRON
cana-5927	192	18	𝑖=1	𝑖=1	PROPN
cana-5927	192	19	)	)	PUNCT
cana-5927	192	20	(	(	PUNCT
cana-5927	192	21	α	α	NOUN
cana-5927	192	22	+	+	NOUN
cana-5927	192	23	1	1	NUM
cana-5927	192	24	)	)	PUNCT
cana-5927	192	25	(	(	PUNCT
cana-5927	192	26	β	β	X
cana-5927	192	27	+	+	CCONJ
cana-5927	192	28	∑	∑	PROPN
cana-5927	192	29	1	1	NUM
cana-5927	192	30	𝑥𝑖	𝑥𝑖	NUM
cana-5927	192	31	𝑛	𝑛	PRON
cana-5927	192	32	𝑖=1	𝑖=1	PROPN
cana-5927	192	33	)	)	PUNCT
cana-5927	193	1	(	(	PUNCT
cana-5927	193	2	α𝑛	α𝑛	NOUN
cana-5927	193	3	+	+	CCONJ
cana-5927	193	4	2	2	NUM
cana-5927	193	5	+	+	CCONJ
cana-5927	193	6	β	β	X
cana-5927	193	7	+	+	CCONJ
cana-5927	193	8	∑	∑	PROPN
cana-5927	193	9	1	1	NUM
cana-5927	193	10	𝑥𝑖	𝑥𝑖	NUM
cana-5927	193	11	𝑛	𝑛	PRON
cana-5927	193	12	𝑖=1	𝑖=1	PROPN
cana-5927	193	13	)	)	PUNCT
cana-5927	193	14	.	.	PUNCT
cana-5927	194	1	(	(	PUNCT
cana-5927	194	2	12	12	NUM
cana-5927	194	3	)	)	PUNCT
cana-5927	194	4	linexlossfunction(5	linexlossfunction(5	NOUN
cana-5927	194	5	)	)	PUNCT
cana-5927	194	6	poissonakashunder	poissonakashunder	NOUN
cana-5927	194	7	𝑃remiu𝑚𝑡+1	𝑃remiu𝑚𝑡+1	NOUN
cana-5927	194	8	=	=	SYM
cana-5927	194	9	=	=	SYM
cana-5927	194	10	100	100	NUM
cana-5927	194	11	γ(γ2	γ(γ2	NOUN
cana-5927	194	12	+	+	X
cana-5927	194	13	2	2	X
cana-5927	194	14	)	)	PUNCT
cana-5927	194	15	γ2	γ2	NOUN
cana-5927	194	16	+	+	CCONJ
cana-5927	194	17	6	6	NUM
cana-5927	194	18	∗	∗	NOUN
cana-5927	194	19	[	[	X
cana-5927	194	20	(	(	PUNCT
cana-5927	194	21	γ(𝑛	γ(𝑛	PROPN
cana-5927	194	22	−	−	PROPN
cana-5927	194	23	𝑝	𝑝	PROPN
cana-5927	194	24	+	+	NOUN
cana-5927	194	25	3	3	NUM
cana-5927	194	26	)	)	PUNCT
cana-5927	194	27	+	+	NOUN
cana-5927	195	1	γ(𝑛	γ(𝑛	PROPN
cana-5927	195	2	−	−	X
cana-5927	195	3	𝑝	𝑝	NOUN
cana-5927	195	4	+	+	CCONJ
cana-5927	195	5	1)(𝑡	1)(𝑡	NUM
cana-5927	195	6	+	+	CCONJ
cana-5927	195	7	γ)2	γ)2	NOUN
cana-5927	195	8	(	(	PUNCT
cana-5927	195	9	𝑡	𝑡	X
cana-5927	195	10	+	+	ADJ
cana-5927	195	11	θ)𝑛−𝑝+3	θ)𝑛−𝑝+3	NOUN
cana-5927	195	12	)	)	PUNCT
cana-5927	195	13	∗	∗	NOUN
cana-5927	195	14	(	(	PUNCT
cana-5927	195	15	𝑡	𝑡	NOUN
cana-5927	195	16	+	+	X
cana-5927	195	17	γ)𝑛+3	γ)𝑛+3	ADJ
cana-5927	196	1	[	[	X
cana-5927	196	2	γ(𝑛	γ(𝑛	X
cana-5927	196	3	+	+	CCONJ
cana-5927	196	4	1)[(𝑛	1)[(𝑛	NUM
cana-5927	196	5	+	+	NUM
cana-5927	196	6	2)(𝑛	2)(𝑛	NUM
cana-5927	196	7	+	+	CCONJ
cana-5927	196	8	1	1	NUM
cana-5927	196	9	)	)	PUNCT
cana-5927	196	10	+	+	CCONJ
cana-5927	196	11	(	(	PUNCT
cana-5927	196	12	𝑡	𝑡	PROPN
cana-5927	196	13	+	+	X
cana-5927	196	14	γ)2	γ)2	NOUN
cana-5927	196	15	]	]	X
cana-5927	196	16	]	]	X
cana-5927	196	17	]	]	PUNCT
cana-5927	196	18	−	−	PROPN
cana-5927	196	19	1	1	NUM
cana-5927	196	20	𝑝	𝑝	PROPN
cana-5927	196	21	∗	∗	NOUN
cana-5927	196	22	(	(	PUNCT
cana-5927	196	23	α𝑛	α𝑛	NOUN
cana-5927	196	24	+	+	NOUN
cana-5927	196	25	2	2	NUM
cana-5927	196	26	)	)	PUNCT
cana-5927	196	27	(	(	PUNCT
cana-5927	196	28	α𝑛	α𝑛	NOUN
cana-5927	196	29	+	+	CCONJ
cana-5927	196	30	3	3	NUM
cana-5927	196	31	+	+	CCONJ
cana-5927	196	32	β	β	X
cana-5927	196	33	+	+	CCONJ
cana-5927	196	34	∑	∑	PROPN
cana-5927	196	35	1	1	NUM
cana-5927	196	36	𝑥𝑖	𝑥𝑖	NUM
cana-5927	196	37	𝑛	𝑛	PRON
cana-5927	196	38	𝑖=1	𝑖=1	PROPN
cana-5927	196	39	)	)	PUNCT
cana-5927	196	40	(	(	PUNCT
cana-5927	196	41	α	α	NOUN
cana-5927	196	42	+	+	NOUN
cana-5927	196	43	1	1	NUM
cana-5927	196	44	)	)	PUNCT
cana-5927	196	45	(	(	PUNCT
cana-5927	196	46	β	β	X
cana-5927	196	47	+	+	CCONJ
cana-5927	196	48	∑	∑	PROPN
cana-5927	196	49	1	1	NUM
cana-5927	196	50	𝑥𝑖	𝑥𝑖	NUM
cana-5927	196	51	𝑛	𝑛	PRON
cana-5927	196	52	𝑖=1	𝑖=1	PROPN
cana-5927	196	53	)	)	PUNCT
cana-5927	197	1	(	(	PUNCT
cana-5927	197	2	α𝑛	α𝑛	NOUN
cana-5927	197	3	+	+	CCONJ
cana-5927	197	4	2	2	NUM
cana-5927	197	5	+	+	CCONJ
cana-5927	197	6	β	β	X
cana-5927	197	7	+	+	CCONJ
cana-5927	197	8	∑	∑	PROPN
cana-5927	197	9	1	1	NUM
cana-5927	197	10	𝑥𝑖	𝑥𝑖	NUM
cana-5927	197	11	𝑛	𝑛	PRON
cana-5927	197	12	𝑖=1	𝑖=1	PROPN
cana-5927	197	13	)	)	PUNCT
cana-5927	197	14	.	.	PUNCT
cana-5927	198	1	(	(	PUNCT
cana-5927	198	2	13	13	NUM
cana-5927	198	3	)	)	PUNCT
cana-5927	198	4	entropylossfunction	entropylossfunction	NOUN
cana-5927	198	5	(	(	PUNCT
cana-5927	198	6	7	7	NUM
cana-5927	198	7	)	)	PUNCT
cana-5927	198	8	table2.finalpremiumsusinginversgammalindleydistribution	table2.finalpremiumsusinginversgammalindleydistribution	NOUN
cana-5927	198	9	under	under	ADP
cana-5927	198	10	linex	linex	ADJ
cana-5927	198	11	loss	loss	NOUN
cana-5927	198	12	function	function	NOUN
cana-5927	198	13	for	for	ADP
cana-5927	198	14	the	the	DET
cana-5927	198	15	claim	claim	NOUN
cana-5927	198	16	severity	severity	NOUN
cana-5927	198	17	claimfrequencydistri	claimfrequencydistri	ADJ
cana-5927	198	18	bution	bution	NOUN
cana-5927	198	19	finalpremium	finalpremium	PROPN
cana-5927	198	20	poisson	poisson	PROPN
cana-5927	198	21	akash	akash	PROPN
cana-5927	198	22	under	under	ADP
cana-5927	198	23	quadraticlossfuncti	quadraticlossfuncti	PROPN
cana-5927	198	24	on(4	on(4	NUM
cana-5927	198	25	)	)	PUNCT
cana-5927	198	26	𝑃𝑟𝑒𝑚𝑖𝑢𝑚𝑡+1	𝑃𝑟𝑒𝑚𝑖𝑢𝑚𝑡+1	NOUN
cana-5927	198	27	=	=	SYM
cana-5927	198	28	100	100	NUM
cana-5927	198	29	θ(θ2	θ(θ2	NOUN
cana-5927	198	30	+	+	CCONJ
cana-5927	198	31	2	2	X
cana-5927	198	32	)	)	PUNCT
cana-5927	198	33	𝜃2	𝜃2	NOUN
cana-5927	198	34	+6	+6	PROPN
cana-5927	198	35	(	(	PUNCT
cana-5927	198	36	𝑛	𝑛	PROPN
cana-5927	198	37	+	+	NUM
cana-5927	198	38	1)(𝑛	1)(𝑛	NUM
cana-5927	199	1	+	+	NUM
cana-5927	199	2	2)(𝑛	2)(𝑛	NUM
cana-5927	199	3	+	+	CCONJ
cana-5927	199	4	3	3	NUM
cana-5927	199	5	)	)	PUNCT
cana-5927	199	6	+	+	CCONJ
cana-5927	199	7	(	(	PUNCT
cana-5927	199	8	𝑛	𝑛	PRON
cana-5927	199	9	+	+	NUM
cana-5927	199	10	1)(𝑡	1)(𝑡	NUM
cana-5927	199	11	+	+	CCONJ
cana-5927	199	12	γ)2	γ)2	NOUN
cana-5927	199	13	(	(	PUNCT
cana-5927	199	14	𝑡	𝑡	X
cana-5927	199	15	+	+	X
cana-5927	199	16	γ)3	γ)3	X
cana-5927	199	17	+	+	CCONJ
cana-5927	199	18	(	(	PUNCT
cana-5927	199	19	𝑡	𝑡	PROPN
cana-5927	199	20	+	+	NOUN
cana-5927	199	21	γ)(𝑛	γ)(𝑛	NOUN
cana-5927	200	1	+	+	CCONJ
cana-5927	200	2	2)(𝑛	2)(𝑛	NUM
cana-5927	200	3	+	+	CCONJ
cana-5927	200	4	1	1	NUM
cana-5927	200	5	)	)	PUNCT
cana-5927	200	6	communications	communication	NOUN
cana-5927	200	7	on	on	ADP
cana-5927	200	8	applied	apply	VERB
cana-5927	200	9	nonlinear	nonlinear	ADJ
cana-5927	200	10	analysis	analysis	NOUN
cana-5927	200	11	issn	issn	NOUN
cana-5927	200	12	:	:	PUNCT
cana-5927	200	13	1074	1074	NUM
cana-5927	200	14	-	-	PUNCT
cana-5927	200	15	133x	133x	NUM
cana-5927	200	16	vol	vol	VERB
cana-5927	200	17	32	32	NUM
cana-5927	200	18	no	no	NOUN
cana-5927	200	19	.	.	PUNCT
cana-5927	201	1	10s	10	NOUN
cana-5927	201	2	(	(	PUNCT
cana-5927	201	3	2025	2025	NUM
cana-5927	201	4	)	)	PUNCT
cana-5927	201	5	3070	3070	NUM
cana-5927	201	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5927	201	7	∗	∗	NOUN
cana-5927	201	8	1	1	NUM
cana-5927	201	9	α	α	NOUN
cana-5927	201	10	−	−	NOUN
cana-5927	201	11	1	1	NUM
cana-5927	201	12	−	−	NOUN
cana-5927	201	13	−	−	NUM
cana-5927	201	14	1	1	NUM
cana-5927	201	15	𝑐	𝑐	NOUN
cana-5927	201	16	ln	ln	NOUN
cana-5927	202	1	[	[	X
cana-5927	202	2	(	(	PUNCT
cana-5927	202	3	β	β	X
cana-5927	202	4	+	+	NOUN
cana-5927	202	5	∑	∑	PROPN
cana-5927	202	6	1	1	NUM
cana-5927	202	7	𝑥𝑖	𝑥𝑖	NUM
cana-5927	202	8	𝑛	𝑛	PRON
cana-5927	202	9	𝑖=1	𝑖=1	PUNCT
cana-5927	202	10	𝑐	𝑐	NOUN
cana-5927	202	11	+	+	NOUN
cana-5927	202	12	β	β	X
cana-5927	203	1	+	+	CCONJ
cana-5927	203	2	∑	∑	PROPN
cana-5927	203	3	1	1	NUM
cana-5927	203	4	𝑥𝑖	𝑥𝑖	NUM
cana-5927	203	5	𝑛	𝑛	PRON
cana-5927	203	6	𝑖=1	𝑖=1	PROPN
cana-5927	203	7	)	)	PUNCT
cana-5927	203	8	α𝑛+2	α𝑛+2	X
cana-5927	203	9	(	(	PUNCT
cana-5927	203	10	α𝑛	α𝑛	NOUN
cana-5927	204	1	+	+	NOUN
cana-5927	204	2	1	1	NUM
cana-5927	205	1	+	+	X
cana-5927	205	2	𝑐	𝑐	NOUN
cana-5927	205	3	+	+	NOUN
cana-5927	205	4	β	β	X
cana-5927	205	5	+	+	CCONJ
cana-5927	205	6	∑	∑	PROPN
cana-5927	205	7	1	1	NUM
cana-5927	205	8	𝑥𝑖	𝑥𝑖	NUM
cana-5927	205	9	𝑛	𝑛	PRON
cana-5927	205	10	𝑖=1	𝑖=1	PUNCT
cana-5927	205	11	α𝑛	α𝑛	NOUN
cana-5927	206	1	+	+	NOUN
cana-5927	206	2	1	1	NUM
cana-5927	206	3	+	+	CCONJ
cana-5927	206	4	β	β	X
cana-5927	206	5	+	+	CCONJ
cana-5927	206	6	∑	∑	PROPN
cana-5927	206	7	1	1	NUM
cana-5927	206	8	𝑥𝑖	𝑥𝑖	NUM
cana-5927	206	9	𝑛	𝑛	PRON
cana-5927	206	10	𝑖=1	𝑖=1	PROPN
cana-5927	206	11	)	)	PUNCT
cana-5927	206	12	]	]	PUNCT
cana-5927	206	13	.	.	PUNCT
cana-5927	207	1	(	(	PUNCT
cana-5927	207	2	14	14	X
cana-5927	207	3	)	)	PUNCT
cana-5927	207	4	poisson	poisson	NOUN
cana-5927	207	5	akash	akash	NOUN
cana-5927	207	6	under	under	ADP
cana-5927	207	7	linexlossfunction	linexlossfunction	NOUN
cana-5927	207	8	(	(	PUNCT
cana-5927	207	9	5	5	NUM
cana-5927	207	10	)	)	PUNCT
cana-5927	207	11	𝑃𝑟𝑒𝑚𝑖𝑢𝑚𝑡+1	𝑃𝑟𝑒𝑚𝑖𝑢𝑚𝑡+1	NOUN
cana-5927	207	12	=	=	SYM
cana-5927	207	13	100	100	NUM
cana-5927	207	14	γ(γ2	γ(γ2	NOUN
cana-5927	207	15	+	+	X
cana-5927	207	16	2	2	X
cana-5927	207	17	)	)	PUNCT
cana-5927	207	18	γ2	γ2	NOUN
cana-5927	207	19	+	+	CCONJ
cana-5927	207	20	6	6	NUM
cana-5927	207	21	∗	∗	NOUN
cana-5927	207	22	[	[	X
cana-5927	207	23	−	−	PROPN
cana-5927	207	24	1	1	NUM
cana-5927	207	25	𝑎	𝑎	NOUN
cana-5927	207	26	𝑙𝑛	𝑙𝑛	NOUN
cana-5927	207	27	(	(	PUNCT
cana-5927	207	28	(	(	PUNCT
cana-5927	207	29	𝑛	𝑛	PROPN
cana-5927	207	30	+	+	NUM
cana-5927	207	31	2)(𝑛	2)(𝑛	NUM
cana-5927	207	32	+	+	CCONJ
cana-5927	207	33	1	1	NUM
cana-5927	207	34	)	)	PUNCT
cana-5927	207	35	+	+	CCONJ
cana-5927	207	36	(	(	PUNCT
cana-5927	207	37	𝑡	𝑡	X
cana-5927	207	38	+	+	NOUN
cana-5927	207	39	𝛾	𝛾	X
cana-5927	207	40	+	+	CCONJ
cana-5927	207	41	𝑎)2	𝑎)2	PROPN
cana-5927	207	42	(	(	PUNCT
cana-5927	207	43	𝑡	𝑡	X
cana-5927	207	44	+	+	NOUN
cana-5927	207	45	𝛾	𝛾	ADP
cana-5927	207	46	+	+	X
cana-5927	207	47	𝑎)𝑛+3	𝑎)𝑛+3	NOUN
cana-5927	207	48	∗	∗	NOUN
cana-5927	207	49	∗	∗	NOUN
cana-5927	207	50	(	(	PUNCT
cana-5927	207	51	𝑡	𝑡	NOUN
cana-5927	207	52	+	+	X
cana-5927	207	53	𝛾)𝑛+3	𝛾)𝑛+3	NOUN
cana-5927	207	54	(	(	PUNCT
cana-5927	207	55	𝑛	𝑛	PROPN
cana-5927	207	56	+	+	NUM
cana-5927	207	57	2)(𝑛	2)(𝑛	NUM
cana-5927	207	58	+	+	CCONJ
cana-5927	207	59	1	1	NUM
cana-5927	207	60	)	)	PUNCT
cana-5927	207	61	+	+	CCONJ
cana-5927	207	62	(	(	PUNCT
cana-5927	207	63	𝑡	𝑡	X
cana-5927	207	64	+	+	X
cana-5927	207	65	𝛾)2	𝛾)2	NOUN
cana-5927	207	66	)	)	PUNCT
cana-5927	207	67	]	]	PUNCT
cana-5927	207	68	∗	∗	VERB
cana-5927	207	69	1	1	NUM
cana-5927	207	70	α	α	NOUN
cana-5927	207	71	−	−	NOUN
cana-5927	207	72	1	1	NUM
cana-5927	207	73	−	−	NOUN
cana-5927	207	74	−	−	NUM
cana-5927	207	75	1	1	NUM
cana-5927	207	76	𝑐	𝑐	NOUN
cana-5927	207	77	ln	ln	NOUN
cana-5927	208	1	[	[	X
cana-5927	208	2	(	(	PUNCT
cana-5927	208	3	β	β	X
cana-5927	208	4	+	+	NOUN
cana-5927	208	5	∑	∑	PROPN
cana-5927	208	6	1	1	NUM
cana-5927	208	7	𝑥𝑖	𝑥𝑖	NUM
cana-5927	208	8	𝑛	𝑛	PRON
cana-5927	208	9	𝑖=1	𝑖=1	PUNCT
cana-5927	208	10	𝑐	𝑐	NOUN
cana-5927	208	11	+	+	NOUN
cana-5927	208	12	β	β	X
cana-5927	209	1	+	+	CCONJ
cana-5927	209	2	∑	∑	PROPN
cana-5927	209	3	1	1	NUM
cana-5927	209	4	𝑥𝑖	𝑥𝑖	NUM
cana-5927	209	5	𝑛	𝑛	PRON
cana-5927	209	6	𝑖=1	𝑖=1	PROPN
cana-5927	209	7	)	)	PUNCT
cana-5927	209	8	α𝑛+2	α𝑛+2	X
cana-5927	209	9	(	(	PUNCT
cana-5927	209	10	α𝑛	α𝑛	NOUN
cana-5927	210	1	+	+	NOUN
cana-5927	210	2	1	1	NUM
cana-5927	211	1	+	+	X
cana-5927	211	2	𝑐	𝑐	NOUN
cana-5927	211	3	+	+	NOUN
cana-5927	211	4	β	β	X
cana-5927	211	5	+	+	CCONJ
cana-5927	211	6	∑	∑	PROPN
cana-5927	211	7	1	1	NUM
cana-5927	211	8	𝑥𝑖	𝑥𝑖	NUM
cana-5927	211	9	𝑛	𝑛	PRON
cana-5927	211	10	𝑖=1	𝑖=1	PUNCT
cana-5927	211	11	α𝑛	α𝑛	NOUN
cana-5927	212	1	+	+	NOUN
cana-5927	212	2	1	1	NUM
cana-5927	212	3	+	+	CCONJ
cana-5927	212	4	β	β	X
cana-5927	212	5	+	+	CCONJ
cana-5927	212	6	∑	∑	PROPN
cana-5927	212	7	1	1	NUM
cana-5927	212	8	𝑥𝑖	𝑥𝑖	NUM
cana-5927	212	9	𝑛	𝑛	PRON
cana-5927	212	10	𝑖=1	𝑖=1	PROPN
cana-5927	212	11	)	)	PUNCT
cana-5927	212	12	]	]	PUNCT
cana-5927	212	13	.	.	PUNCT
cana-5927	213	1	(	(	PUNCT
cana-5927	213	2	15	15	X
cana-5927	213	3	)	)	PUNCT
cana-5927	213	4	poisson	poisson	NOUN
cana-5927	213	5	akash	akash	NOUN
cana-5927	213	6	under	under	ADP
cana-5927	213	7	entropy	entropy	PROPN
cana-5927	213	8	loss	loss	NOUN
cana-5927	213	9	function	function	NOUN
cana-5927	213	10	(	(	PUNCT
cana-5927	213	11	7	7	X
cana-5927	213	12	)	)	PUNCT
cana-5927	213	13	𝑃remiu𝑚𝑡+1	𝑃remiu𝑚𝑡+1	NOUN
cana-5927	213	14	=	=	SYM
cana-5927	213	15	=	=	SYM
cana-5927	213	16	100	100	NUM
cana-5927	213	17	γ(γ2	γ(γ2	NOUN
cana-5927	213	18	+	+	X
cana-5927	213	19	2	2	X
cana-5927	213	20	)	)	PUNCT
cana-5927	213	21	γ2	γ2	NOUN
cana-5927	213	22	+	+	CCONJ
cana-5927	213	23	6	6	NUM
cana-5927	213	24	∗	∗	NOUN
cana-5927	213	25	∗	∗	NOUN
cana-5927	213	26	[	[	X
cana-5927	213	27	(	(	PUNCT
cana-5927	213	28	γ(𝑛	γ(𝑛	PROPN
cana-5927	213	29	−	−	PROPN
cana-5927	213	30	𝑝	𝑝	PROPN
cana-5927	213	31	+	+	NOUN
cana-5927	213	32	3	3	NUM
cana-5927	213	33	)	)	PUNCT
cana-5927	213	34	+	+	NOUN
cana-5927	213	35	γ(𝑛	γ(𝑛	PROPN
cana-5927	213	36	−	−	X
cana-5927	213	37	𝑝	𝑝	NOUN
cana-5927	213	38	+	+	CCONJ
cana-5927	213	39	1)(𝑡	1)(𝑡	NUM
cana-5927	213	40	+	+	CCONJ
cana-5927	213	41	γ)2	γ)2	NOUN
cana-5927	213	42	(	(	PUNCT
cana-5927	213	43	𝑡	𝑡	X
cana-5927	213	44	+	+	ADJ
cana-5927	213	45	θ)𝑛−𝑝+3	θ)𝑛−𝑝+3	NOUN
cana-5927	213	46	)	)	PUNCT
cana-5927	213	47	∗	∗	NOUN
cana-5927	213	48	(	(	PUNCT
cana-5927	213	49	𝑡	𝑡	NOUN
cana-5927	213	50	+	+	X
cana-5927	213	51	γ)𝑛+3	γ)𝑛+3	ADJ
cana-5927	214	1	[	[	X
cana-5927	214	2	γ(𝑛	γ(𝑛	X
cana-5927	214	3	+	+	CCONJ
cana-5927	214	4	1)[(𝑛	1)[(𝑛	NUM
cana-5927	214	5	+	+	NUM
cana-5927	214	6	2)(𝑛	2)(𝑛	NUM
cana-5927	214	7	+	+	CCONJ
cana-5927	214	8	1	1	NUM
cana-5927	214	9	)	)	PUNCT
cana-5927	214	10	+	+	CCONJ
cana-5927	214	11	(	(	PUNCT
cana-5927	214	12	𝑡	𝑡	PROPN
cana-5927	214	13	+	+	X
cana-5927	214	14	γ)2	γ)2	NOUN
cana-5927	214	15	]	]	X
cana-5927	214	16	]	]	X
cana-5927	214	17	]	]	PUNCT
cana-5927	214	18	−	−	PROPN
cana-5927	214	19	1	1	NUM
cana-5927	214	20	𝑝	𝑝	PROPN
cana-5927	214	21	∗	∗	NOUN
cana-5927	214	22	1	1	NUM
cana-5927	214	23	α	α	NOUN
cana-5927	214	24	−	−	NOUN
cana-5927	214	25	1	1	NUM
cana-5927	214	26	−	−	NOUN
cana-5927	214	27	−	−	NUM
cana-5927	214	28	1	1	NUM
cana-5927	214	29	𝑐	𝑐	NOUN
cana-5927	214	30	ln	ln	NOUN
cana-5927	214	31	[	[	X
cana-5927	214	32	(	(	PUNCT
cana-5927	214	33	β	β	X
cana-5927	214	34	+	+	NOUN
cana-5927	214	35	∑	∑	PROPN
cana-5927	214	36	1	1	NUM
cana-5927	214	37	𝑥𝑖	𝑥𝑖	NUM
cana-5927	214	38	𝑛	𝑛	PRON
cana-5927	215	1	𝑖=1	𝑖=1	PUNCT
cana-5927	215	2	𝑐	𝑐	NOUN
cana-5927	215	3	+	+	NOUN
cana-5927	215	4	β	β	X
cana-5927	216	1	+	+	CCONJ
cana-5927	216	2	∑	∑	PROPN
cana-5927	216	3	1	1	NUM
cana-5927	216	4	𝑥𝑖	𝑥𝑖	NUM
cana-5927	216	5	𝑛	𝑛	PRON
cana-5927	216	6	𝑖=1	𝑖=1	PROPN
cana-5927	216	7	)	)	PUNCT
cana-5927	216	8	α𝑛+2	α𝑛+2	X
cana-5927	216	9	(	(	PUNCT
cana-5927	216	10	α𝑛	α𝑛	NOUN
cana-5927	217	1	+	+	NOUN
cana-5927	217	2	1	1	NUM
cana-5927	218	1	+	+	X
cana-5927	218	2	𝑐	𝑐	NOUN
cana-5927	218	3	+	+	NOUN
cana-5927	218	4	β	β	X
cana-5927	218	5	+	+	CCONJ
cana-5927	218	6	∑	∑	PROPN
cana-5927	218	7	1	1	NUM
cana-5927	218	8	𝑥𝑖	𝑥𝑖	NUM
cana-5927	218	9	𝑛	𝑛	PRON
cana-5927	218	10	𝑖=1	𝑖=1	PUNCT
cana-5927	218	11	α𝑛	α𝑛	NOUN
cana-5927	219	1	+	+	NOUN
cana-5927	219	2	1	1	NUM
cana-5927	219	3	+	+	CCONJ
cana-5927	219	4	β	β	X
cana-5927	219	5	+	+	CCONJ
cana-5927	219	6	∑	∑	PROPN
cana-5927	219	7	1	1	NUM
cana-5927	219	8	𝑥𝑖	𝑥𝑖	NUM
cana-5927	219	9	𝑛	𝑛	PRON
cana-5927	219	10	𝑖=1	𝑖=1	PROPN
cana-5927	219	11	)	)	PUNCT
cana-5927	219	12	]	]	PUNCT
cana-5927	219	13	.	.	PUNCT
cana-5927	220	1	(	(	PUNCT
cana-5927	220	2	16	16	NUM
cana-5927	220	3	)	)	PUNCT
cana-5927	220	4	table3.finalpremiumsusinginvers	table3.finalpremiumsusinginver	NOUN
cana-5927	220	5	-	-	PUNCT
cana-5927	220	6	gammalindleydistribution	gammalindleydistribution	NOUN
cana-5927	220	7	under	under	ADP
cana-5927	220	8	entropy	entropy	NOUN
cana-5927	220	9	loss	loss	NOUN
cana-5927	220	10	function	function	NOUN
cana-5927	220	11	for	for	ADP
cana-5927	220	12	the	the	DET
cana-5927	220	13	claim	claim	NOUN
cana-5927	220	14	severity	severity	NOUN
cana-5927	220	15	claimfrequencydistri	claimfrequencydistri	ADJ
cana-5927	220	16	bution	bution	NOUN
cana-5927	220	17	finalpremium	finalpremium	PROPN
cana-5927	220	18	poisson	poisson	PROPN
cana-5927	220	19	akash	akash	PROPN
cana-5927	220	20	under	under	ADP
cana-5927	220	21	quadraticlossfuncti	quadraticlossfuncti	PROPN
cana-5927	220	22	on(4	on(4	NUM
cana-5927	220	23	)	)	PUNCT
cana-5927	220	24	𝑃𝑟𝑒𝑚𝑖𝑢𝑚𝑡+1	𝑃𝑟𝑒𝑚𝑖𝑢𝑚𝑡+1	NOUN
cana-5927	220	25	=	=	SYM
cana-5927	220	26	100	100	NUM
cana-5927	220	27	θ(θ2	θ(θ2	NOUN
cana-5927	220	28	+	+	CCONJ
cana-5927	220	29	2	2	X
cana-5927	220	30	)	)	PUNCT
cana-5927	220	31	𝜃2	𝜃2	NOUN
cana-5927	220	32	+6	+6	PROPN
cana-5927	220	33	(	(	PUNCT
cana-5927	220	34	𝑛	𝑛	PROPN
cana-5927	220	35	+	+	NUM
cana-5927	220	36	1)(𝑛	1)(𝑛	NUM
cana-5927	221	1	+	+	NUM
cana-5927	221	2	2)(𝑛	2)(𝑛	NUM
cana-5927	221	3	+	+	CCONJ
cana-5927	221	4	3	3	NUM
cana-5927	221	5	)	)	PUNCT
cana-5927	221	6	+	+	CCONJ
cana-5927	221	7	(	(	PUNCT
cana-5927	221	8	𝑛	𝑛	PRON
cana-5927	221	9	+	+	NUM
cana-5927	221	10	1)(𝑡	1)(𝑡	NUM
cana-5927	221	11	+	+	CCONJ
cana-5927	221	12	γ)2	γ)2	NOUN
cana-5927	221	13	(	(	PUNCT
cana-5927	221	14	𝑡	𝑡	X
cana-5927	221	15	+	+	X
cana-5927	221	16	γ)3	γ)3	X
cana-5927	221	17	+	+	CCONJ
cana-5927	221	18	(	(	PUNCT
cana-5927	221	19	𝑡	𝑡	PROPN
cana-5927	221	20	+	+	NOUN
cana-5927	221	21	γ)(𝑛	γ)(𝑛	NOUN
cana-5927	222	1	+	+	CCONJ
cana-5927	222	2	2)(𝑛	2)(𝑛	NUM
cana-5927	222	3	+	+	CCONJ
cana-5927	222	4	1	1	NUM
cana-5927	222	5	)	)	PUNCT
cana-5927	222	6	communications	communication	NOUN
cana-5927	222	7	on	on	ADP
cana-5927	222	8	applied	apply	VERB
cana-5927	222	9	nonlinear	nonlinear	ADJ
cana-5927	222	10	analysis	analysis	NOUN
cana-5927	222	11	issn	issn	NOUN
cana-5927	222	12	:	:	PUNCT
cana-5927	222	13	1074	1074	NUM
cana-5927	222	14	-	-	PUNCT
cana-5927	222	15	133x	133x	NUM
cana-5927	222	16	vol	vol	VERB
cana-5927	222	17	32	32	NUM
cana-5927	222	18	no	no	NOUN
cana-5927	222	19	.	.	PUNCT
cana-5927	223	1	10s	10	NOUN
cana-5927	223	2	(	(	PUNCT
cana-5927	223	3	2025	2025	NUM
cana-5927	223	4	)	)	PUNCT
cana-5927	223	5	3071	3071	NUM
cana-5927	223	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5927	223	7	∗	∗	NOUN
cana-5927	223	8	∗	∗	NOUN
cana-5927	223	9	1	1	NUM
cana-5927	223	10	α	α	NOUN
cana-5927	223	11	−	−	NOUN
cana-5927	223	12	1	1	NUM
cana-5927	223	13	[	[	PUNCT
cana-5927	223	14	γ(α𝑛	γ(α𝑛	NUM
cana-5927	223	15	−	−	PROPN
cana-5927	223	16	𝑝	𝑝	NOUN
cana-5927	223	17	+	+	NOUN
cana-5927	223	18	1	1	NUM
cana-5927	223	19	)	)	PUNCT
cana-5927	224	1	[	[	X
cana-5927	224	2	α𝑛	α𝑛	NOUN
cana-5927	224	3	−	−	PROPN
cana-5927	224	4	𝑝	𝑝	PROPN
cana-5927	224	5	+	+	CCONJ
cana-5927	224	6	1	1	NUM
cana-5927	224	7	+	+	NUM
cana-5927	224	8	β	β	X
cana-5927	224	9	+	+	CCONJ
cana-5927	224	10	∑	∑	PROPN
cana-5927	224	11	1	1	NUM
cana-5927	224	12	𝑥𝑖	𝑥𝑖	NUM
cana-5927	224	13	𝑛	𝑛	PROPN
cana-5927	224	14	𝑖=1	𝑖=1	PUNCT
cana-5927	224	15	]	]	PUNCT
cana-5927	224	16	γ(α𝑛	γ(α𝑛	PUNCT
cana-5927	224	17	+	+	CCONJ
cana-5927	224	18	1	1	X
cana-5927	224	19	)	)	PUNCT
cana-5927	224	20	(	(	PUNCT
cana-5927	224	21	β	β	X
cana-5927	224	22	+	+	CCONJ
cana-5927	224	23	∑	∑	PROPN
cana-5927	224	24	1	1	NUM
cana-5927	224	25	𝑥𝑖	𝑥𝑖	NUM
cana-5927	224	26	𝑛	𝑛	PRON
cana-5927	224	27	𝑖=1	𝑖=1	PUNCT
cana-5927	224	28	)	)	PUNCT
cana-5927	225	1	[	[	X
cana-5927	225	2	α𝑛	α𝑛	NOUN
cana-5927	225	3	+	+	CCONJ
cana-5927	225	4	1	1	NUM
cana-5927	225	5	+	+	CCONJ
cana-5927	225	6	β	β	X
cana-5927	225	7	+	+	CCONJ
cana-5927	225	8	∑	∑	PROPN
cana-5927	225	9	1	1	NUM
cana-5927	225	10	𝑥𝑖	𝑥𝑖	NUM
cana-5927	225	11	𝑛	𝑛	PROPN
cana-5927	225	12	𝑖=1	𝑖=1	PUNCT
cana-5927	225	13	]	]	PUNCT
cana-5927	225	14	]	]	PUNCT
cana-5927	225	15	−	−	PROPN
cana-5927	225	16	1	1	NUM
cana-5927	225	17	𝑝	𝑝	NOUN
cana-5927	225	18	.	.	PUNCT
cana-5927	226	1	(	(	PUNCT
cana-5927	226	2	17	17	NUM
cana-5927	226	3	)	)	PUNCT
cana-5927	226	4	poisson	poisson	NOUN
cana-5927	226	5	akash	akash	NOUN
cana-5927	226	6	under	under	ADP
cana-5927	226	7	linexlossfunction	linexlossfunction	NOUN
cana-5927	226	8	(	(	PUNCT
cana-5927	226	9	5	5	NUM
cana-5927	226	10	)	)	PUNCT
cana-5927	226	11	𝑃𝑟𝑒𝑚𝑖𝑢𝑚𝑡+1	𝑃𝑟𝑒𝑚𝑖𝑢𝑚𝑡+1	NOUN
cana-5927	226	12	=	=	SYM
cana-5927	226	13	100	100	NUM
cana-5927	226	14	γ(γ2	γ(γ2	NOUN
cana-5927	226	15	+	+	X
cana-5927	226	16	2	2	X
cana-5927	226	17	)	)	PUNCT
cana-5927	226	18	γ2	γ2	NOUN
cana-5927	226	19	+	+	CCONJ
cana-5927	226	20	6	6	NUM
cana-5927	226	21	∗	∗	NOUN
cana-5927	226	22	[	[	X
cana-5927	226	23	−	−	PROPN
cana-5927	226	24	1	1	NUM
cana-5927	226	25	𝑎	𝑎	NOUN
cana-5927	226	26	𝑙𝑛	𝑙𝑛	NOUN
cana-5927	226	27	(	(	PUNCT
cana-5927	226	28	(	(	PUNCT
cana-5927	226	29	𝑛	𝑛	PROPN
cana-5927	226	30	+	+	NUM
cana-5927	226	31	2)(𝑛	2)(𝑛	NUM
cana-5927	226	32	+	+	CCONJ
cana-5927	226	33	1	1	NUM
cana-5927	226	34	)	)	PUNCT
cana-5927	226	35	+	+	CCONJ
cana-5927	226	36	(	(	PUNCT
cana-5927	226	37	𝑡	𝑡	X
cana-5927	226	38	+	+	NOUN
cana-5927	226	39	𝛾	𝛾	X
cana-5927	226	40	+	+	CCONJ
cana-5927	226	41	𝑎)2	𝑎)2	PROPN
cana-5927	226	42	(	(	PUNCT
cana-5927	226	43	𝑡	𝑡	X
cana-5927	226	44	+	+	NOUN
cana-5927	226	45	𝛾	𝛾	ADP
cana-5927	226	46	+	+	X
cana-5927	226	47	𝑎)𝑛+3	𝑎)𝑛+3	NOUN
cana-5927	226	48	∗	∗	NOUN
cana-5927	226	49	∗	∗	NOUN
cana-5927	226	50	(	(	PUNCT
cana-5927	226	51	𝑡	𝑡	NOUN
cana-5927	226	52	+	+	X
cana-5927	226	53	𝛾)𝑛+3	𝛾)𝑛+3	NOUN
cana-5927	226	54	(	(	PUNCT
cana-5927	226	55	𝑛	𝑛	PROPN
cana-5927	226	56	+	+	NUM
cana-5927	226	57	2)(𝑛	2)(𝑛	NUM
cana-5927	226	58	+	+	CCONJ
cana-5927	226	59	1	1	NUM
cana-5927	226	60	)	)	PUNCT
cana-5927	226	61	+	+	CCONJ
cana-5927	226	62	(	(	PUNCT
cana-5927	226	63	𝑡	𝑡	X
cana-5927	226	64	+	+	X
cana-5927	226	65	𝛾)2	𝛾)2	NOUN
cana-5927	226	66	)	)	PUNCT
cana-5927	226	67	]	]	PUNCT
cana-5927	227	1	∗	∗	NOUN
cana-5927	227	2	∗	∗	NOUN
cana-5927	227	3	1	1	NUM
cana-5927	227	4	α	α	NOUN
cana-5927	227	5	−	−	NOUN
cana-5927	227	6	1	1	NUM
cana-5927	227	7	[	[	PUNCT
cana-5927	227	8	γ(α𝑛	γ(α𝑛	NUM
cana-5927	227	9	−	−	PROPN
cana-5927	227	10	𝑝	𝑝	NOUN
cana-5927	227	11	+	+	NOUN
cana-5927	227	12	1	1	NUM
cana-5927	227	13	)	)	PUNCT
cana-5927	228	1	[	[	X
cana-5927	228	2	α𝑛	α𝑛	NOUN
cana-5927	228	3	−	−	PROPN
cana-5927	228	4	𝑝	𝑝	PROPN
cana-5927	228	5	+	+	CCONJ
cana-5927	228	6	1	1	NUM
cana-5927	228	7	+	+	NUM
cana-5927	228	8	β	β	X
cana-5927	228	9	+	+	CCONJ
cana-5927	228	10	∑	∑	PROPN
cana-5927	228	11	1	1	NUM
cana-5927	228	12	𝑥𝑖	𝑥𝑖	NUM
cana-5927	228	13	𝑛	𝑛	PROPN
cana-5927	228	14	𝑖=1	𝑖=1	PUNCT
cana-5927	228	15	]	]	PUNCT
cana-5927	228	16	γ(α𝑛	γ(α𝑛	PUNCT
cana-5927	228	17	+	+	CCONJ
cana-5927	228	18	1	1	X
cana-5927	228	19	)	)	PUNCT
cana-5927	228	20	(	(	PUNCT
cana-5927	228	21	β	β	X
cana-5927	228	22	+	+	CCONJ
cana-5927	228	23	∑	∑	PROPN
cana-5927	228	24	1	1	NUM
cana-5927	228	25	𝑥𝑖	𝑥𝑖	NUM
cana-5927	228	26	𝑛	𝑛	PRON
cana-5927	228	27	𝑖=1	𝑖=1	PUNCT
cana-5927	228	28	)	)	PUNCT
cana-5927	229	1	[	[	X
cana-5927	229	2	α𝑛	α𝑛	NOUN
cana-5927	229	3	+	+	CCONJ
cana-5927	229	4	1	1	NUM
cana-5927	229	5	+	+	CCONJ
cana-5927	229	6	β	β	X
cana-5927	229	7	+	+	CCONJ
cana-5927	229	8	∑	∑	PROPN
cana-5927	229	9	1	1	NUM
cana-5927	229	10	𝑥𝑖	𝑥𝑖	NUM
cana-5927	229	11	𝑛	𝑛	PROPN
cana-5927	229	12	𝑖=1	𝑖=1	PUNCT
cana-5927	229	13	]	]	PUNCT
cana-5927	229	14	]	]	PUNCT
cana-5927	229	15	−	−	PROPN
cana-5927	229	16	1	1	NUM
cana-5927	229	17	𝑝	𝑝	NOUN
cana-5927	229	18	.	.	PUNCT
cana-5927	230	1	(	(	PUNCT
cana-5927	230	2	18	18	NUM
cana-5927	230	3	)	)	PUNCT
cana-5927	230	4	poisson	poisson	NOUN
cana-5927	230	5	akash	akash	NOUN
cana-5927	230	6	under	under	ADP
cana-5927	230	7	entropy	entropy	PROPN
cana-5927	230	8	loss	loss	NOUN
cana-5927	230	9	function	function	NOUN
cana-5927	230	10	(	(	PUNCT
cana-5927	230	11	7	7	X
cana-5927	230	12	)	)	PUNCT
cana-5927	230	13	𝑃remiu𝑚𝑡+1	𝑃remiu𝑚𝑡+1	NOUN
cana-5927	230	14	=	=	SYM
cana-5927	230	15	=	=	SYM
cana-5927	230	16	100	100	NUM
cana-5927	230	17	γ(γ2	γ(γ2	NOUN
cana-5927	230	18	+	+	X
cana-5927	230	19	2	2	X
cana-5927	230	20	)	)	PUNCT
cana-5927	230	21	γ2	γ2	NOUN
cana-5927	230	22	+	+	CCONJ
cana-5927	230	23	6	6	NUM
cana-5927	230	24	∗	∗	NOUN
cana-5927	230	25	∗	∗	NOUN
cana-5927	230	26	[	[	X
cana-5927	230	27	(	(	PUNCT
cana-5927	230	28	γ(𝑛	γ(𝑛	PROPN
cana-5927	230	29	−	−	PROPN
cana-5927	230	30	𝑝	𝑝	PROPN
cana-5927	230	31	+	+	NOUN
cana-5927	230	32	3	3	NUM
cana-5927	230	33	)	)	PUNCT
cana-5927	230	34	+	+	NOUN
cana-5927	230	35	γ(𝑛	γ(𝑛	PROPN
cana-5927	230	36	−	−	X
cana-5927	230	37	𝑝	𝑝	NOUN
cana-5927	230	38	+	+	CCONJ
cana-5927	230	39	1)(𝑡	1)(𝑡	NUM
cana-5927	230	40	+	+	CCONJ
cana-5927	230	41	γ)2	γ)2	NOUN
cana-5927	230	42	(	(	PUNCT
cana-5927	230	43	𝑡	𝑡	X
cana-5927	230	44	+	+	ADJ
cana-5927	230	45	θ)𝑛−𝑝+3	θ)𝑛−𝑝+3	NOUN
cana-5927	230	46	)	)	PUNCT
cana-5927	230	47	∗	∗	NOUN
cana-5927	230	48	(	(	PUNCT
cana-5927	230	49	𝑡	𝑡	NOUN
cana-5927	230	50	+	+	X
cana-5927	230	51	γ)𝑛+3	γ)𝑛+3	ADJ
cana-5927	231	1	[	[	X
cana-5927	231	2	γ(𝑛	γ(𝑛	X
cana-5927	231	3	+	+	CCONJ
cana-5927	231	4	1)[(𝑛	1)[(𝑛	NUM
cana-5927	231	5	+	+	NUM
cana-5927	231	6	2)(𝑛	2)(𝑛	NUM
cana-5927	231	7	+	+	CCONJ
cana-5927	231	8	1	1	NUM
cana-5927	231	9	)	)	PUNCT
cana-5927	231	10	+	+	CCONJ
cana-5927	231	11	(	(	PUNCT
cana-5927	231	12	𝑡	𝑡	PROPN
cana-5927	231	13	+	+	X
cana-5927	231	14	γ)2	γ)2	NOUN
cana-5927	231	15	]	]	X
cana-5927	231	16	]	]	X
cana-5927	231	17	]	]	PUNCT
cana-5927	231	18	−	−	PROPN
cana-5927	231	19	1	1	NUM
cana-5927	231	20	𝑝	𝑝	PROPN
cana-5927	231	21	∗	∗	NOUN
cana-5927	231	22	1	1	NUM
cana-5927	231	23	α	α	NOUN
cana-5927	231	24	−	−	NOUN
cana-5927	231	25	1	1	NUM
cana-5927	231	26	[	[	PUNCT
cana-5927	231	27	γ(α𝑛	γ(α𝑛	NUM
cana-5927	231	28	−	−	PROPN
cana-5927	231	29	𝑝	𝑝	NOUN
cana-5927	231	30	+	+	NOUN
cana-5927	231	31	1	1	NUM
cana-5927	231	32	)	)	PUNCT
cana-5927	232	1	[	[	X
cana-5927	232	2	α𝑛	α𝑛	NOUN
cana-5927	232	3	−	−	PROPN
cana-5927	232	4	𝑝	𝑝	PROPN
cana-5927	232	5	+	+	CCONJ
cana-5927	232	6	1	1	NUM
cana-5927	232	7	+	+	NUM
cana-5927	232	8	β	β	X
cana-5927	232	9	+	+	CCONJ
cana-5927	232	10	∑	∑	PROPN
cana-5927	232	11	1	1	NUM
cana-5927	232	12	𝑥𝑖	𝑥𝑖	NUM
cana-5927	232	13	𝑛	𝑛	PROPN
cana-5927	232	14	𝑖=1	𝑖=1	PUNCT
cana-5927	232	15	]	]	PUNCT
cana-5927	232	16	γ(α𝑛	γ(α𝑛	PUNCT
cana-5927	232	17	+	+	CCONJ
cana-5927	232	18	1	1	X
cana-5927	232	19	)	)	PUNCT
cana-5927	232	20	(	(	PUNCT
cana-5927	232	21	β	β	X
cana-5927	232	22	+	+	CCONJ
cana-5927	232	23	∑	∑	PROPN
cana-5927	232	24	1	1	NUM
cana-5927	232	25	𝑥𝑖	𝑥𝑖	NUM
cana-5927	232	26	𝑛	𝑛	PRON
cana-5927	232	27	𝑖=1	𝑖=1	PUNCT
cana-5927	232	28	)	)	PUNCT
cana-5927	233	1	[	[	X
cana-5927	233	2	α𝑛	α𝑛	NOUN
cana-5927	233	3	+	+	CCONJ
cana-5927	233	4	1	1	NUM
cana-5927	233	5	+	+	CCONJ
cana-5927	233	6	β	β	X
cana-5927	233	7	+	+	CCONJ
cana-5927	233	8	∑	∑	PROPN
cana-5927	233	9	1	1	NUM
cana-5927	233	10	𝑥𝑖	𝑥𝑖	NUM
cana-5927	233	11	𝑛	𝑛	PROPN
cana-5927	233	12	𝑖=1	𝑖=1	PUNCT
cana-5927	233	13	]	]	PUNCT
cana-5927	233	14	]	]	PUNCT
cana-5927	233	15	−	−	PROPN
cana-5927	233	16	1	1	NUM
cana-5927	233	17	𝑝	𝑝	NOUN
cana-5927	233	18	.	.	PUNCT
cana-5927	234	1	(	(	PUNCT
cana-5927	234	2	19	19	NUM
cana-5927	234	3	)	)	PUNCT
cana-5927	234	4	5	5	NUM
cana-5927	234	5	.	.	X
cana-5927	235	1	numericalapplication	numericalapplication	NOUN
cana-5927	235	2	for	for	ADP
cana-5927	235	3	the	the	DET
cana-5927	235	4	numerical	numerical	ADJ
cana-5927	235	5	analysis	analysis	NOUN
cana-5927	235	6	,	,	PUNCT
cana-5927	235	7	we	we	PRON
cana-5927	235	8	utilized	utilize	VERB
cana-5927	235	9	a	a	DET
cana-5927	235	10	real	real	ADJ
cana-5927	235	11	data	datum	NOUN
cana-5927	235	12	set	set	VERB
cana-5927	235	13	to	to	PART
cana-5927	235	14	evaluate	evaluate	VERB
cana-5927	235	15	the	the	DET
cana-5927	235	16	premiums	premium	NOUN
cana-5927	235	17	determined	determine	VERB
cana-5927	235	18	solely	solely	ADV
cana-5927	235	19	by	by	ADP
cana-5927	235	20	the	the	DET
cana-5927	235	21	number	number	NOUN
cana-5927	235	22	of	of	ADP
cana-5927	235	23	claims	claim	NOUN
cana-5927	235	24	and	and	CCONJ
cana-5927	235	25	those	those	DET
cana-5927	235	26	calculated	calculate	VERB
cana-5927	235	27	usingboth	usingboth	NOUN
cana-5927	235	28	claim	claim	NOUN
cana-5927	235	29	frequency	frequency	NOUN
cana-5927	235	30	and	and	CCONJ
cana-5927	235	31	severity.we	severity.we	NOUN
cana-5927	235	32	employed	employ	VERB
cana-5927	235	33	the	the	DET
cana-5927	235	34	different	different	ADJ
cana-5927	235	35	loss	loss	NOUN
cana-5927	235	36	functions	function	NOUN
cana-5927	235	37	aforementioned	aforementione	VERB
cana-5927	235	38	.	.	PUNCT
cana-5927	236	1	we	we	PRON
cana-5927	236	2	focused	focus	VERB
cana-5927	236	3	on	on	ADP
cana-5927	236	4	the	the	DET
cana-5927	236	5	data	datum	NOUN
cana-5927	236	6	set	set	VERB
cana-5927	236	7	related	relate	VERB
cana-5927	236	8	to	to	ADP
cana-5927	236	9	one	one	NUM
cana-5927	236	10	-	-	PUNCT
cana-5927	236	11	year	year	NOUN
cana-5927	236	12	car	car	NOUN
cana-5927	236	13	insurance	insurance	NOUN
cana-5927	236	14	policiesissuedin2004or2005.thisdatasetcanbefoundonthewebsiteof	policiesissuedin2004or2005.thisdatasetcanbefoundonthewebsiteof	ADP
cana-5927	236	15	the	the	DET
cana-5927	236	16	faculty	faculty	NOUN
cana-5927	236	17	of	of	ADP
cana-5927	236	18	business	business	NOUN
cana-5927	236	19	and	and	CCONJ
cana-5927	236	20	economics	economic	NOUN
cana-5927	236	21	at	at	ADP
cana-5927	236	22	macquarie	macquarie	PROPN
cana-5927	236	23	university	university	PROPN
cana-5927	236	24	in	in	ADP
cana-5927	236	25	sydney	sydney	PROPN
cana-5927	236	26	,	,	PUNCT
cana-5927	236	27	australia.forfurtherreference	australia.forfurtherreference	NOUN
cana-5927	236	28	,	,	PUNCT
cana-5927	236	29	see[3].theportfolio	see[3].theportfolio	PUNCT
cana-5927	236	30	comprises	comprise	VERB
cana-5927	236	31	a	a	DET
cana-5927	236	32	total	total	NOUN
cana-5927	236	33	of	of	ADP
cana-5927	236	34	67,856	67,856	NUM
cana-5927	236	35	policies	policy	NOUN
cana-5927	236	36	,	,	PUNCT
cana-5927	236	37	with	with	ADP
cana-5927	236	38	4,624	4,624	NUM
cana-5927	236	39	of	of	ADP
cana-5927	236	40	them	they	PRON
cana-5927	236	41	having	have	VERB
cana-5927	236	42	at	at	ADV
cana-5927	236	43	least	least	ADV
cana-5927	236	44	one	one	NUM
cana-5927	236	45	claim	claim	NOUN
cana-5927	236	46	recorded.among	recorded.among	ADP
cana-5927	236	47	these	these	DET
cana-5927	236	48	policies	policy	NOUN
cana-5927	236	49	,	,	PUNCT
cana-5927	236	50	4,333	4,333	NUM
cana-5927	236	51	submitted	submit	VERB
cana-5927	236	52	one	one	NUM
cana-5927	236	53	claim	claim	NOUN
cana-5927	236	54	,	,	PUNCT
cana-5927	236	55	271	271	NUM
cana-5927	236	56	filed	file	VERB
cana-5927	236	57	two	two	NUM
cana-5927	236	58	claims,18presentedthreeclaims	claims,18presentedthreeclaim	NOUN
cana-5927	236	59	,	,	PUNCT
cana-5927	236	60	and2submittedfourclaims	and2submittedfourclaims	PROPN
cana-5927	236	61	.	.	PROPN
cana-5927	236	62	5.1	5.1	NUM
cana-5927	236	63	.	.	PUNCT
cana-5927	237	1	premiums	premium	NOUN
cana-5927	237	2	using	use	VERB
cana-5927	237	3	only	only	ADV
cana-5927	237	4	claim	claim	VERB
cana-5927	237	5	frequency.the	frequency.the	DET
cana-5927	237	6	following	follow	VERB
cana-5927	237	7	tables	table	NOUN
cana-5927	237	8	[	[	X
cana-5927	237	9	4	4	NUM
cana-5927	237	10	-	-	SYM
cana-5927	237	11	8	8	NUM
cana-5927	237	12	]	]	PUNCT
cana-5927	237	13	represents	represent	VERB
cana-5927	237	14	the	the	DET
cana-5927	237	15	premiums	premium	NOUN
cana-5927	237	16	based	base	VERB
cana-5927	237	17	only	only	ADV
cana-5927	237	18	on	on	ADP
cana-5927	237	19	the	the	DET
cana-5927	237	20	claim	claim	NOUN
cana-5927	237	21	frequency	frequency	NOUN
cana-5927	237	22	and	and	CCONJ
cana-5927	237	23	using	use	VERB
cana-5927	237	24	different	different	ADJ
cana-5927	237	25	loss	loss	NOUN
cana-5927	237	26	functions	function	NOUN
cana-5927	237	27	(	(	PUNCT
cana-5927	237	28	quadratic	quadratic	ADJ
cana-5927	237	29	,	,	PUNCT
cana-5927	237	30	linex	linex	ADV
cana-5927	237	31	(	(	PUNCT
cana-5927	237	32	a=1.1	a=1.1	NOUN
cana-5927	237	33	and	and	CCONJ
cana-5927	237	34	a=-0.3	a=-0.3	NUM
cana-5927	237	35	)	)	PUNCT
cana-5927	237	36	,	,	PUNCT
cana-5927	237	37	entropy	entropy	NOUN
cana-5927	237	38	(	(	PUNCT
cana-5927	237	39	p=0.2	p=0.2	NOUN
cana-5927	237	40	and	and	CCONJ
cana-5927	237	41	p=-0.2	p=-0.2	NUM
cana-5927	237	42	)	)	PUNCT
cana-5927	237	43	)	)	PUNCT
cana-5927	237	44	.	.	PUNCT
cana-5927	238	1	table4.premiumsusingpoissonakashwithγ=14.0125	table4.premiumsusingpoissonakashwithγ=14.0125	NOUN
cana-5927	238	2	communications	communication	NOUN
cana-5927	238	3	on	on	ADP
cana-5927	238	4	applied	apply	VERB
cana-5927	238	5	nonlinear	nonlinear	ADJ
cana-5927	238	6	analysis	analysis	NOUN
cana-5927	238	7	issn	issn	NOUN
cana-5927	238	8	:	:	PUNCT
cana-5927	238	9	1074	1074	NUM
cana-5927	238	10	-	-	PUNCT
cana-5927	238	11	133x	133x	NUM
cana-5927	238	12	vol	vol	VERB
cana-5927	238	13	32	32	NUM
cana-5927	238	14	no	no	NOUN
cana-5927	238	15	.	.	PUNCT
cana-5927	239	1	10s	10	NOUN
cana-5927	239	2	(	(	PUNCT
cana-5927	239	3	2025	2025	NUM
cana-5927	239	4	)	)	PUNCT
cana-5927	239	5	3072	3072	NUM
cana-5927	239	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5927	239	7	t	t	PROPN
cana-5927	239	8	0	0	NUM
cana-5927	239	9	claimnumber	claimnumber	PROPN
cana-5927	239	10	1	1	NUM
cana-5927	239	11	2	2	NUM
cana-5927	239	12	3	3	NUM
cana-5927	239	13	4	4	NUM
cana-5927	239	14	1	1	NUM
cana-5927	239	15	93.10335	93.10335	NUM
cana-5927	239	16	187.7328	187.7328	NUM
cana-5927	239	17	283.7319	283.7319	NUM
cana-5927	239	18	380.8901	380.8901	NUM
cana-5927	239	19	478.9653	478.9653	NUM
cana-5927	239	20	2	2	NUM
cana-5927	239	21	87.10775	87.10775	NUM
cana-5927	239	22	175.4826	175.4826	NUM
cana-5927	239	23	265.0100	265.0100	NUM
cana-5927	239	24	355.5334	355.5334	NUM
cana-5927	239	25	446.8701	446.8701	NUM
cana-5927	239	26	3	3	NUM
cana-5927	239	27	81.84590	81.84590	NUM
cana-5927	239	28	164.7550	164.7550	NUM
cana-5927	239	29	248.6416	248.6416	NUM
cana-5927	239	30	333.3880	333.3880	NUM
cana-5927	239	31	418.8542	418.8542	NUM
cana-5927	239	32	4	4	NUM
cana-5927	239	33	77.18976	77.18976	NUM
cana-5927	239	34	155.2800	155.2800	NUM
cana-5927	239	35	234.2057	234.2057	NUM
cana-5927	239	36	313.8769	313.8769	NUM
cana-5927	239	37	394.1853	394.1853	NUM
cana-5927	239	38	5	5	NUM
cana-5927	239	39	73.03964	73.03964	NUM
cana-5927	239	40	146.8484	146.8484	NUM
cana-5927	239	41	221.3763	221.3763	NUM
cana-5927	239	42	296.5537	296.5537	NUM
cana-5927	239	43	372.2957	372.2957	NUM
cana-5927	239	44	6	6	NUM
cana-5927	239	45	69.31671	69.31671	NUM
cana-5927	239	46	139.2954	139.2954	NUM
cana-5927	239	47	209.8972	209.8972	NUM
cana-5927	239	48	281.0674	281.0674	NUM
cana-5927	239	49	352.7389	352.7389	NUM
cana-5927	239	50	7	7	NUM
cana-5927	239	51	65.95779	65.95779	NUM
cana-5927	239	52	132.4893	132.4893	NUM
cana-5927	239	53	199.5640	199.5640	NUM
cana-5927	239	54	267.1384	267.1384	NUM
cana-5927	239	55	335.1592	335.1592	NUM
cana-5927	239	56	table5.premiums	table5.premium	NOUN
cana-5927	239	57	using	use	VERB
cana-5927	239	58	poissonakash	poissonakash	NOUN
cana-5927	239	59	under	under	ADP
cana-5927	239	60	linex	linex	ADV
cana-5927	239	61	with	with	ADP
cana-5927	239	62	γ	γ	PROPN
cana-5927	239	63	=	=	SYM
cana-5927	239	64	14.0125	14.0125	NUM
cana-5927	239	65	anda	anda	PROPN
cana-5927	239	66	=	=	NUM
cana-5927	239	67	1.1	1.1	NUM
cana-5927	239	68	table6.premiums	table6.premium	NOUN
cana-5927	239	69	using	use	VERB
cana-5927	239	70	poisson	poisson	NOUN
cana-5927	239	71	-	-	NOUN
cana-5927	239	72	akash	akash	NOUN
cana-5927	239	73	under	under	ADP
cana-5927	239	74	linex	linex	ADV
cana-5927	239	75	with	with	ADP
cana-5927	239	76	γ	γ	PROPN
cana-5927	239	77	=	=	SYM
cana-5927	239	78	14.0125	14.0125	NUM
cana-5927	239	79	et	et	NOUN
cana-5927	239	80	a	a	DET
cana-5927	239	81	=	=	PUNCT
cana-5927	239	82	−0.3	−0.3	X
cana-5927	239	83	table7.premiumsusingpoisson	table7.premiumsusingpoisson	NOUN
cana-5927	239	84	-	-	PUNCT
cana-5927	239	85	akashunderentropywith	akashunderentropywith	NOUN
cana-5927	239	86	γ=14.0125etp=−0.2	γ=14.0125etp=−0.2	NOUN
cana-5927	239	87	t	t	PROPN
cana-5927	239	88	claimnumber	claimnumber	PROPN
cana-5927	239	89	0	0	NUM
cana-5927	239	90	1	1	NUM
cana-5927	239	91	2	2	NUM
cana-5927	239	92	3	3	NUM
cana-5927	239	93	4	4	NUM
cana-5927	239	94	1	1	NUM
cana-5927	239	95	60.54909	60.54909	NUM
cana-5927	239	96	151.9319	151.9319	NUM
cana-5927	239	97	246.6078	246.6078	NUM
cana-5927	239	98	342.9572	342.9572	NUM
cana-5927	239	99	440.4815	440.4815	NUM
cana-5927	239	100	2	2	NUM
cana-5927	239	101	56.67214	56.67214	NUM
cana-5927	239	102	142.0671	142.0671	NUM
cana-5927	239	103	230.4023	230.4023	NUM
cana-5927	239	104	320.1982	320.1982	NUM
cana-5927	239	105	411.0317	411.0317	NUM
cana-5927	239	106	3	3	NUM
cana-5927	239	107	53.26630	53.26630	NUM
cana-5927	239	108	133.4216	133.4216	NUM
cana-5927	239	109	216.2259	216.2259	NUM
cana-5927	239	110	300.3148	300.3148	NUM
cana-5927	239	111	385.3215	385.3215	NUM
cana-5927	239	112	4	4	NUM
cana-5927	239	113	50.25001	50.25001	NUM
cana-5927	239	114	125.7803	125.7803	NUM
cana-5927	239	115	203.7168	203.7168	NUM
cana-5927	239	116	282.7908	282.7908	NUM
cana-5927	239	117	362.6792	362.6792	NUM
cana-5927	239	118	5	5	NUM
cana-5927	239	119	47.55958	47.55958	NUM
cana-5927	239	120	118.9764	118.9764	NUM
cana-5927	239	121	192.5945	192.5945	NUM
cana-5927	239	122	267.2267	267.2267	NUM
cana-5927	239	123	342.5842	342.5842	NUM
cana-5927	239	124	6	6	NUM
cana-5927	239	125	45.14460	45.14460	NUM
cana-5927	239	126	112.8783	112.8783	NUM
cana-5927	239	127	182.6386	182.6386	NUM
cana-5927	239	128	253.3087	253.3087	NUM
cana-5927	239	129	324.6273	324.6273	NUM
cana-5927	239	130	7	7	NUM
cana-5927	239	131	42.96458	42.96458	NUM
cana-5927	239	132	107.3807	107.3807	NUM
cana-5927	239	133	173.6732	173.6732	NUM
cana-5927	239	134	240.7868	240.7868	NUM
cana-5927	239	135	308.4824	308.4824	NUM
cana-5927	239	136	table8.premiumsusingpoisson	table8.premiumsusingpoisson	PROPN
cana-5927	239	137	-	-	PUNCT
cana-5927	239	138	akashunderentropywith	akashunderentropywith	NOUN
cana-5927	239	139	γ=14.0125etp=+0.2	γ=14.0125etp=+0.2	PROPN
cana-5927	239	140	t	t	PROPN
cana-5927	239	141	claimnumber	claimnumber	NOUN
cana-5927	239	142	0	0	NUM
cana-5927	239	143	1	1	NUM
cana-5927	239	144	2	2	NUM
cana-5927	239	145	3	3	NUM
cana-5927	239	146	4	4	NUM
cana-5927	239	147	1	1	NUM
cana-5927	239	148	89.74638	89.74638	NUM
cana-5927	239	149	180.8718	180.8718	NUM
cana-5927	239	150	273.2438	273.2438	NUM
cana-5927	239	151	366.6832	366.6832	NUM
cana-5927	239	152	460.9817	460.9817	NUM
cana-5927	239	153	2	2	NUM
cana-5927	239	154	84.16501	84.16501	NUM
cana-5927	239	155	169.4815	169.4815	NUM
cana-5927	239	156	255.8516	255.8516	NUM
cana-5927	239	157	343.1409	343.1409	NUM
cana-5927	239	158	431.1913	431.1913	NUM
cana-5927	239	159	3	3	NUM
cana-5927	239	160	79.24454	79.24454	NUM
cana-5927	239	161	159.4601	159.4601	NUM
cana-5927	239	162	240.5731	240.5731	NUM
cana-5927	239	163	322.4814	322.4814	NUM
cana-5927	239	164	405.0633	405.0633	NUM
cana-5927	239	165	4	4	NUM
cana-5927	239	166	74.87319	74.87319	NUM
cana-5927	239	167	150.5725	150.5725	NUM
cana-5927	239	168	227.0418	227.0418	NUM
cana-5927	239	169	304.2025	304.2025	NUM
cana-5927	239	170	381.9597	381.9597	NUM
cana-5927	239	171	5	5	NUM
cana-5927	239	172	70.96317	70.96317	NUM
cana-5927	239	173	142.6349	142.6349	NUM
cana-5927	239	174	214.9718	214.9718	NUM
cana-5927	239	175	287.9125	287.9125	NUM
cana-5927	239	176	361.3823	361.3823	NUM
cana-5927	239	177	6	6	NUM
cana-5927	239	178	67.44461	67.44461	NUM
cana-5927	239	179	135.5014	135.5014	NUM
cana-5927	239	180	204.1363	204.1363	NUM
cana-5927	239	181	273.3010	273.3010	NUM
cana-5927	239	182	342.9363	342.9363	NUM
cana-5927	239	183	7	7	NUM
cana-5927	239	184	64.26111	64.26111	NUM
cana-5927	239	185	129.0547	129.0547	NUM
cana-5927	239	186	194.3536	194.3536	NUM
cana-5927	239	187	260.1196	260.1196	NUM
cana-5927	239	188	326.3050	326.3050	NUM
cana-5927	239	189	t	t	NOUN
cana-5927	239	190	claimnumber	claimnumber	NOUN
cana-5927	239	191	0	0	NUM
cana-5927	239	192	1	1	NUM
cana-5927	239	193	2	2	NUM
cana-5927	239	194	3	3	NUM
cana-5927	239	195	4	4	NUM
cana-5927	239	196	1	1	NUM
cana-5927	239	197	94.07916	94.07916	NUM
cana-5927	239	198	189.7294	189.7294	NUM
cana-5927	239	199	286.7865	286.7865	NUM
cana-5927	239	200	385.0298	385.0298	NUM
cana-5927	239	201	484.2065	484.2065	NUM
cana-5927	239	202	2	2	NUM
cana-5927	239	203	87.95956	87.95956	NUM
cana-5927	239	204	177.2214	177.2214	NUM
cana-5927	239	205	267.6655	267.6655	NUM
cana-5927	239	206	359.1284	359.1284	NUM
cana-5927	239	207	451.4195	451.4195	NUM
cana-5927	239	208	3	3	NUM
cana-5927	239	209	82.59612	82.59612	NUM
cana-5927	239	210	166.2833	166.2833	NUM
cana-5927	239	211	250.9721	250.9721	NUM
cana-5927	239	212	336.5396	336.5396	NUM
cana-5927	239	213	422.8403	422.8403	NUM
cana-5927	239	214	4	4	NUM
cana-5927	239	215	77.85570	77.85570	NUM
cana-5927	239	216	156.6341	156.6341	NUM
cana-5927	239	217	236.2678	236.2678	NUM
cana-5927	239	218	316.6628	316.6628	NUM
cana-5927	239	219	397.7068	397.7068	NUM
cana-5927	239	220	5	5	NUM
cana-5927	239	221	73.63484	73.63484	NUM
cana-5927	239	222	148.0569	148.0569	NUM
cana-5927	239	223	223.2142	223.2142	NUM
cana-5927	239	224	299.0345	299.0345	NUM
cana-5927	239	225	375.4296	375.4296	NUM
cana-5927	239	226	6	6	NUM
cana-5927	239	227	69.85195	69.85195	NUM
cana-5927	239	228	140.3807	140.3807	NUM
cana-5927	239	229	211.5459	211.5459	NUM
cana-5927	239	230	283.2909	283.2909	NUM
cana-5927	239	231	355.5462	355.5462	NUM
cana-5927	239	232	7	7	NUM
cana-5927	239	233	66.44175	66.44175	NUM
cana-5927	239	234	133.4695	133.4695	NUM
cana-5927	239	235	201.0515	201.0515	NUM
cana-5927	239	236	269.1430	269.1430	NUM
cana-5927	239	237	337.6885	337.6885	NUM
cana-5927	239	238	communications	communication	NOUN
cana-5927	239	239	on	on	ADP
cana-5927	239	240	applied	apply	VERB
cana-5927	239	241	nonlinear	nonlinear	ADJ
cana-5927	239	242	analysis	analysis	NOUN
cana-5927	239	243	issn	issn	NOUN
cana-5927	239	244	:	:	PUNCT
cana-5927	239	245	1074	1074	NUM
cana-5927	239	246	-	-	PUNCT
cana-5927	239	247	133x	133x	NUM
cana-5927	239	248	vol	vol	VERB
cana-5927	239	249	32	32	NUM
cana-5927	239	250	no	no	NOUN
cana-5927	239	251	.	.	PUNCT
cana-5927	240	1	10s	10	NOUN
cana-5927	240	2	(	(	PUNCT
cana-5927	240	3	2025	2025	NUM
cana-5927	240	4	)	)	PUNCT
cana-5927	240	5	3073	3073	NUM
cana-5927	240	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5927	240	7	t	t	PROPN
cana-5927	240	8	claimnumber	claimnumber	NOUN
cana-5927	240	9	0	0	NUM
cana-5927	241	1	1	1	NUM
cana-5927	241	2	2	2	NUM
cana-5927	241	3	3	3	NUM
cana-5927	241	4	4	4	NUM
cana-5927	241	5	1	1	NUM
cana-5927	241	6	43.30648	43.30648	NUM
cana-5927	241	7	133.28359	133.28359	NUM
cana-5927	241	8	227.5163	227.5163	NUM
cana-5927	241	9	323.5812	323.5812	NUM
cana-5927	241	10	420.8996	420.8996	NUM
cana-5927	241	11	2	2	NUM
cana-5927	241	12	40.54181	40.54181	NUM
cana-5927	241	13	124.65254	124.65254	NUM
cana-5927	241	14	212.5987	212.5987	NUM
cana-5927	241	15	302.1461	302.1461	NUM
cana-5927	241	16	392.7958	392.7958	NUM
cana-5927	241	17	3	3	NUM
cana-5927	241	18	38.11183	38.11183	NUM
cana-5927	241	19	117.08492	117.08492	NUM
cana-5927	241	20	199.5447	199.5447	NUM
cana-5927	241	21	283.4153	283.4153	NUM
cana-5927	241	22	368.2582	368.2582	NUM
cana-5927	241	23	4	4	NUM
cana-5927	241	24	35.95882	35.95882	NUM
cana-5927	241	25	110.39385	110.39385	NUM
cana-5927	241	26	188.0226	188.0226	NUM
cana-5927	241	27	266.9037	266.9037	NUM
cana-5927	241	28	346.6460	346.6460	NUM
cana-5927	241	29	5	5	NUM
cana-5927	241	30	34.03769	34.03769	NUM
cana-5927	241	31	104.43409	104.43409	NUM
cana-5927	241	32	177.7753	177.7753	NUM
cana-5927	241	33	252.2361	252.2361	NUM
cana-5927	241	34	327.4629	327.4629	NUM
cana-5927	241	35	6	6	NUM
cana-5927	241	36	32.31269	32.31269	NUM
cana-5927	241	37	99.09100	99.09100	NUM
cana-5927	241	38	168.6004	168.6004	NUM
cana-5927	241	39	239.1175	239.1175	NUM
cana-5927	241	40	310.3188	310.3188	NUM
cana-5927	241	41	7	7	NUM
cana-5927	241	42	30.75509	30.75509	NUM
cana-5927	241	43	94.27286	94.27286	NUM
cana-5927	242	1	160.3365	160.3365	NUM
cana-5927	242	2	227.3127	227.3127	NUM
cana-5927	242	3	294.9030	294.9030	NUM
cana-5927	242	4	•	•	NOUN
cana-5927	242	5	discussion.we	discussion.we	PRON
cana-5927	242	6	observe	observe	VERB
cana-5927	242	7	that	that	SCONJ
cana-5927	242	8	the	the	DET
cana-5927	242	9	premiums	premium	NOUN
cana-5927	242	10	using	use	VERB
cana-5927	242	11	the	the	DET
cana-5927	242	12	linex	linex	ADJ
cana-5927	242	13	loss	loss	NOUN
cana-5927	242	14	function	function	NOUN
cana-5927	242	15	in	in	ADP
cana-5927	242	16	the	the	DET
cana-5927	242	17	under	under	ADJ
cana-5927	242	18	estimation	estimation	NOUN
cana-5927	242	19	are	be	AUX
cana-5927	242	20	the	the	DET
cana-5927	242	21	highest	high	ADJ
cana-5927	242	22	for	for	ADP
cana-5927	242	23	good	good	ADJ
cana-5927	242	24	drivers	driver	NOUN
cana-5927	242	25	but	but	CCONJ
cana-5927	242	26	also	also	ADV
cana-5927	242	27	with	with	ADP
cana-5927	242	28	bad	bad	ADJ
cana-5927	242	29	drivers	driver	NOUN
cana-5927	242	30	.	.	PUNCT
cana-5927	243	1	the	the	DET
cana-5927	243	2	tables	table	NOUN
cana-5927	243	3	show	show	VERB
cana-5927	243	4	that	that	SCONJ
cana-5927	243	5	both	both	CCONJ
cana-5927	243	6	good	good	ADJ
cana-5927	243	7	and	and	CCONJ
cana-5927	243	8	bad	bad	ADJ
cana-5927	243	9	drivers	driver	NOUN
cana-5927	243	10	have	have	VERB
cana-5927	243	11	lower	low	ADJ
cana-5927	243	12	premiums	premium	NOUN
cana-5927	243	13	when	when	SCONJ
cana-5927	243	14	employing	employ	VERB
cana-5927	243	15	the	the	DET
cana-5927	243	16	entropy	entropy	NOUN
cana-5927	243	17	loss	loss	NOUN
cana-5927	243	18	function	function	NOUN
cana-5927	243	19	.	.	PUNCT
cana-5927	244	1	5.2	5.2	X
cana-5927	244	2	.	.	PUNCT
cana-5927	245	1	premiums	premium	NOUN
cana-5927	245	2	using	use	VERB
cana-5927	245	3	both	both	CCONJ
cana-5927	245	4	frequency	frequency	NOUN
cana-5927	245	5	and	and	CCONJ
cana-5927	245	6	claim	claim	NOUN
cana-5927	245	7	severity	severity	NOUN
cana-5927	245	8	.	.	PUNCT
cana-5927	246	1	5.2.1	5.2.1	X
cana-5927	246	2	.	.	PUNCT
cana-5927	246	3	premiums	premium	NOUN
cana-5927	246	4	using	use	VERB
cana-5927	246	5	inverse	inverse	NOUN
cana-5927	246	6	-	-	PUNCT
cana-5927	246	7	gamma	gamma	NOUN
cana-5927	246	8	lindley	lindley	NOUN
cana-5927	246	9	under	under	ADP
cana-5927	246	10	quadratic	quadratic	ADJ
cana-5927	246	11	loss	loss	NOUN
cana-5927	246	12	function	function	NOUN
cana-5927	246	13	for	for	ADP
cana-5927	246	14	the	the	DET
cana-5927	246	15	claim	claim	NOUN
cana-5927	246	16	severity	severity	NOUN
cana-5927	246	17	.	.	PUNCT
cana-5927	247	1	this	this	DET
cana-5927	247	2	first	first	ADJ
cana-5927	247	3	part	part	NOUN
cana-5927	247	4	shows	show	VERB
cana-5927	247	5	the	the	DET
cana-5927	247	6	tables	table	NOUN
cana-5927	247	7	[	[	X
cana-5927	247	8	9	9	NUM
cana-5927	247	9	-	-	SYM
cana-5927	247	10	13	13	NUM
cana-5927	247	11	]	]	PUNCT
cana-5927	247	12	that	that	PRON
cana-5927	247	13	represents	represent	VERB
cana-5927	247	14	the	the	DET
cana-5927	247	15	premiums	premium	NOUN
cana-5927	247	16	using	use	VERB
cana-5927	247	17	the	the	DET
cana-5927	247	18	invers	inver	NOUN
cana-5927	247	19	-	-	PUNCT
cana-5927	247	20	gamma	gamma	NOUN
cana-5927	247	21	lindley	lindley	NOUN
cana-5927	247	22	distribution	distribution	NOUN
cana-5927	247	23	(	(	PUNCT
cana-5927	247	24	igl	igl	NOUN
cana-5927	247	25	)	)	PUNCT
cana-5927	247	26	under	under	ADP
cana-5927	247	27	the	the	DET
cana-5927	247	28	quadratic	quadratic	ADJ
cana-5927	247	29	loss	loss	NOUN
cana-5927	247	30	function	function	NOUN
cana-5927	247	31	for	for	ADP
cana-5927	247	32	the	the	DET
cana-5927	247	33	severity	severity	NOUN
cana-5927	247	34	claim	claim	NOUN
cana-5927	247	35	.	.	PUNCT
cana-5927	248	1	for	for	ADP
cana-5927	248	2	the	the	DET
cana-5927	248	3	claim	claim	NOUN
cana-5927	248	4	frequency	frequency	NOUN
cana-5927	248	5	we	we	PRON
cana-5927	248	6	will	will	AUX
cana-5927	248	7	use	use	VERB
cana-5927	248	8	poissonakash	poissonakash	ADJ
cana-5927	248	9	distribution	distribution	NOUN
cana-5927	248	10	(	(	PUNCT
cana-5927	248	11	pa	pa	NOUN
cana-5927	248	12	)	)	PUNCT
cana-5927	248	13	under	under	ADP
cana-5927	248	14	different	different	ADJ
cana-5927	248	15	loss	loss	NOUN
cana-5927	248	16	functions	function	NOUN
cana-5927	248	17	(	(	PUNCT
cana-5927	248	18	quadratic	quadratic	ADJ
cana-5927	248	19	,	,	PUNCT
cana-5927	248	20	linex	linex	ADV
cana-5927	248	21	(	(	PUNCT
cana-5927	248	22	a=1.1	a=1.1	NOUN
cana-5927	248	23	and	and	CCONJ
cana-5927	248	24	a=-0.3	a=-0.3	NUM
cana-5927	248	25	)	)	PUNCT
cana-5927	248	26	and	and	CCONJ
cana-5927	248	27	entropy	entropy	NOUN
cana-5927	248	28	(	(	PUNCT
cana-5927	248	29	p=0.2	p=0.2	NOUN
cana-5927	248	30	and	and	CCONJ
cana-5927	248	31	p=-0.2)).these	p=-0.2)).these	ADJ
cana-5927	248	32	tables	table	NOUN
cana-5927	248	33	were	be	AUX
cana-5927	248	34	calculated	calculate	VERB
cana-5927	248	35	using	use	VERB
cana-5927	248	36	formulas	formula	NOUN
cana-5927	248	37	(	(	PUNCT
cana-5927	248	38	11	11	NUM
cana-5927	248	39	)	)	PUNCT
cana-5927	248	40	,	,	PUNCT
cana-5927	248	41	(	(	PUNCT
cana-5927	248	42	12	12	NUM
cana-5927	248	43	)	)	PUNCT
cana-5927	248	44	and	and	CCONJ
cana-5927	248	45	(	(	PUNCT
cana-5927	248	46	13	13	NUM
cana-5927	248	47	)	)	PUNCT
cana-5927	248	48	from	from	ADP
cana-5927	248	49	table	table	NOUN
cana-5927	248	50	1	1	NUM
cana-5927	248	51	.	.	PUNCT
cana-5927	249	1	table9	table9	NOUN
cana-5927	249	2	.	.	PUNCT
cana-5927	250	1	premiums	premium	NOUN
cana-5927	250	2	using	use	VERB
cana-5927	250	3	pa	pa	PROPN
cana-5927	250	4	under	under	ADP
cana-5927	250	5	quadratic	quadratic	ADJ
cana-5927	250	6	loss	loss	NOUN
cana-5927	250	7	function	function	NOUN
cana-5927	250	8	and	and	CCONJ
cana-5927	250	9	igl	igl	NOUN
cana-5927	250	10	under	under	ADP
cana-5927	250	11	quadratic	quadratic	ADJ
cana-5927	250	12	loss	loss	NOUN
cana-5927	250	13	function	function	NOUN
cana-5927	250	14	with	with	ADP
cana-5927	250	15	γ=14.0125	γ=14.0125	NOUN
cana-5927	250	16	,	,	PUNCT
cana-5927	250	17	α=1.08	α=1.08	PROPN
cana-5927	250	18	,	,	PUNCT
cana-5927	250	19	β=0.001766	β=0.001766	PRON
cana-5927	250	20	t	t	PROPN
cana-5927	250	21	claimnumber	claimnumber	NOUN
cana-5927	250	22	0	0	NUM
cana-5927	250	23	1	1	NUM
cana-5927	250	24	2	2	NUM
cana-5927	250	25	3	3	NUM
cana-5927	250	26	4	4	NUM
cana-5927	250	27	1	1	NUM
cana-5927	250	28	958.7095	958.7095	NUM
cana-5927	250	29	873.0867	873.0867	NUM
cana-5927	250	30	1318.0627	1318.0627	NUM
cana-5927	250	31	1898.941	1898.941	NUM
cana-5927	250	32	2592.533	2592.533	NUM
cana-5927	250	33	2	2	NUM
cana-5927	250	34	896.9712	896.9712	NUM
cana-5927	250	35	816.1151	816.1151	NUM
cana-5927	250	36	1231.0910	1231.0910	NUM
cana-5927	250	37	1772.524	1772.524	NUM
cana-5927	250	38	2418.809	2418.809	NUM
cana-5927	250	39	3	3	NUM
cana-5927	250	40	842.7886	842.7886	NUM
cana-5927	250	41	766.2240	766.2240	NUM
cana-5927	250	42	1155.0526	1155.0526	NUM
cana-5927	250	43	1662.118	1662.118	NUM
cana-5927	251	1	2267.165	2267.165	NUM
cana-5927	251	2	4	4	NUM
cana-5927	251	3	794.8431	794.8431	NUM
cana-5927	251	4	722.1587	722.1587	NUM
cana-5927	251	5	1087.9913	1087.9913	NUM
cana-5927	251	6	1564.844	1564.844	NUM
cana-5927	251	7	2133.638	2133.638	NUM
cana-5927	251	8	5	5	NUM
cana-5927	251	9	752.1083	752.1083	NUM
cana-5927	251	10	682.9460	682.9460	NUM
cana-5927	251	11	1028.3929	1028.3929	NUM
cana-5927	251	12	1478.479	1478.479	NUM
cana-5927	251	13	2015.154	2015.154	NUM
cana-5927	251	14	6	6	NUM
cana-5927	251	15	713.7722	713.7722	NUM
cana-5927	251	16	647.8194	647.8194	NUM
cana-5927	251	17	975.0670	975.0670	NUM
cana-5927	251	18	1401.271	1401.271	NUM
cana-5927	251	19	1909.298	1909.298	NUM
cana-5927	251	20	7	7	NUM
cana-5927	251	21	679.1846	679.1846	NUM
cana-5927	251	22	616.1665	616.1665	NUM
cana-5927	251	23	927.0647	927.0647	NUM
cana-5927	251	24	1331.828	1331.828	NUM
cana-5927	251	25	1814.142	1814.142	NUM
cana-5927	251	26	table10.premiums	table10.premium	NOUN
cana-5927	251	27	using	use	VERB
cana-5927	251	28	pa	pa	PROPN
cana-5927	251	29	under	under	ADP
cana-5927	251	30	linex	linex	ADJ
cana-5927	251	31	loss	loss	NOUN
cana-5927	251	32	function	function	NOUN
cana-5927	251	33	and	and	CCONJ
cana-5927	251	34	igl	igl	NOUN
cana-5927	251	35	under	under	ADP
cana-5927	251	36	quadratic	quadratic	ADJ
cana-5927	251	37	loss	loss	NOUN
cana-5927	251	38	function	function	NOUN
cana-5927	251	39	with	with	ADP
cana-5927	251	40	γ=14.0125	γ=14.0125	NOUN
cana-5927	251	41	,	,	PUNCT
cana-5927	251	42	α=1.08	α=1.08	PROPN
cana-5927	251	43	,	,	PUNCT
cana-5927	251	44	β=0.001766	β=0.001766	X
cana-5927	251	45	,	,	PUNCT
cana-5927	251	46	a=1.1	a=1.1	PROPN
cana-5927	251	47	t	t	PROPN
cana-5927	251	48	claimnumber	claimnumber	VERB
cana-5927	251	49	0	0	NUM
cana-5927	251	50	1	1	NUM
cana-5927	251	51	2	2	NUM
cana-5927	251	52	3	3	NUM
cana-5927	251	53	4	4	NUM
cana-5927	251	54	1	1	NUM
cana-5927	251	55	924.1418	924.1418	NUM
cana-5927	251	56	841.1782	841.1782	NUM
cana-5927	251	57	1269.3408	1269.3408	NUM
cana-5927	251	58	1828.112	1828.112	NUM
cana-5927	251	59	2495.192	2495.192	NUM
cana-5927	251	60	2	2	NUM
cana-5927	251	61	866.6690	866.6690	NUM
cana-5927	251	62	788.2056	788.2056	NUM
cana-5927	251	63	1188.5459	1188.5459	NUM
cana-5927	251	64	1710.741	1710.741	NUM
cana-5927	251	65	2333.943	2333.943	NUM
cana-5927	251	66	3	3	NUM
cana-5927	251	67	816.0017	816.0017	NUM
cana-5927	251	68	741.5993	741.5993	NUM
cana-5927	251	69	1117.5704	1117.5704	NUM
cana-5927	251	70	1607.742	1607.742	NUM
cana-5927	252	1	2192.518	2192.518	NUM
cana-5927	252	2	4	4	NUM
cana-5927	252	3	770.9887	770.9887	NUM
cana-5927	252	4	700.2660	700.2660	NUM
cana-5927	252	5	1054.7118	1054.7118	NUM
cana-5927	252	6	1516.612	1516.612	NUM
cana-5927	252	7	2067.464	2067.464	NUM
cana-5927	252	8	communications	communication	NOUN
cana-5927	252	9	on	on	ADP
cana-5927	252	10	applied	apply	VERB
cana-5927	252	11	nonlinear	nonlinear	ADJ
cana-5927	252	12	analysis	analysis	NOUN
cana-5927	252	13	issn	issn	NOUN
cana-5927	252	14	:	:	PUNCT
cana-5927	252	15	1074	1074	NUM
cana-5927	252	16	-	-	PUNCT
cana-5927	252	17	133x	133x	NUM
cana-5927	252	18	vol	vol	VERB
cana-5927	252	19	32	32	NUM
cana-5927	252	20	no	no	NOUN
cana-5927	252	21	.	.	PUNCT
cana-5927	252	22	10s	10	NOUN
cana-5927	252	23	(	(	PUNCT
cana-5927	252	24	2025	2025	NUM
cana-5927	252	25	)	)	PUNCT
cana-5927	252	26	3074	3074	NUM
cana-5927	252	27	https://internationalpubls.com	https://internationalpubls.com	X
cana-5927	252	28	5	5	NUM
cana-5927	252	29	730.7263	730.7263	NUM
cana-5927	252	30	663.3507	663.3507	NUM
cana-5927	252	31	998.6409	998.6409	NUM
cana-5927	252	32	1435.398	1435.398	NUM
cana-5927	252	33	1956.083	1956.083	NUM
cana-5927	252	34	6	6	NUM
cana-5927	252	35	694.4947	694.4947	NUM
cana-5927	252	36	630.1748	630.1748	NUM
cana-5927	252	37	948.3052	948.3052	NUM
cana-5927	252	38	1362.552	1362.552	NUM
cana-5927	252	39	1856.238	1856.238	NUM
cana-5927	252	40	7	7	NUM
cana-5927	252	41	661.7134	661.7134	NUM
cana-5927	252	42	600.1930	600.1930	NUM
cana-5927	252	43	902.8603	902.8603	NUM
cana-5927	252	44	1296.835	1296.835	NUM
cana-5927	252	45	1766.217	1766.217	NUM
cana-5927	252	46	table11.premiums	table11.premium	NOUN
cana-5927	252	47	using	use	VERB
cana-5927	252	48	pa	pa	PROPN
cana-5927	252	49	under	under	ADP
cana-5927	252	50	linex	linex	ADJ
cana-5927	252	51	loss	loss	NOUN
cana-5927	252	52	function	function	NOUN
cana-5927	252	53	and	and	CCONJ
cana-5927	252	54	igl	igl	NOUN
cana-5927	252	55	under	under	ADP
cana-5927	252	56	quadratic	quadratic	ADJ
cana-5927	252	57	loss	loss	NOUN
cana-5927	252	58	function	function	NOUN
cana-5927	252	59	with	with	ADP
cana-5927	252	60	γ=14.0125	γ=14.0125	NOUN
cana-5927	252	61	,	,	PUNCT
cana-5927	252	62	α=1.08	α=1.08	PROPN
cana-5927	252	63	,	,	PUNCT
cana-5927	252	64	β=0.001766	β=0.001766	X
cana-5927	252	65	,	,	PUNCT
cana-5927	252	66	a=-0.3	a=-0.3	PROPN
cana-5927	252	67	t	t	PROPN
cana-5927	252	68	claimnumber	claimnumber	NOUN
cana-5927	252	69	0	0	NUM
cana-5927	252	70	1	1	NUM
cana-5927	252	71	2	2	NUM
cana-5927	252	72	3	3	NUM
cana-5927	252	73	4	4	NUM
cana-5927	252	74	1	1	NUM
cana-5927	252	75	968.7576	968.7576	NUM
cana-5927	252	76	882.3723	882.3723	NUM
cana-5927	252	77	1332.253	1332.253	NUM
cana-5927	252	78	1919.579	1919.579	NUM
cana-5927	252	79	2620.903	2620.903	NUM
cana-5927	252	80	2	2	NUM
cana-5927	252	81	905.7425	905.7425	NUM
cana-5927	252	82	824.2015	824.2015	NUM
cana-5927	252	83	1243.427	1243.427	NUM
cana-5927	252	84	1790.447	1790.447	NUM
cana-5927	252	85	2443.434	2443.434	NUM
cana-5927	252	86	3	3	NUM
cana-5927	252	87	850.5138	850.5138	NUM
cana-5927	252	88	773.3316	773.3316	NUM
cana-5927	252	89	1165.878	1165.878	PROPN
cana-5927	252	90	1677.830	1677.830	NUM
cana-5927	252	91	2288.741	2288.741	NUM
cana-5927	252	92	4	4	NUM
cana-5927	252	93	801.7004	801.7004	NUM
cana-5927	252	94	728.4566	728.4566	NUM
cana-5927	252	95	1097.571	1097.571	NUM
cana-5927	252	96	1578.734	1578.734	NUM
cana-5927	252	97	2152.699	2152.699	NUM
cana-5927	252	98	5	5	NUM
cana-5927	252	99	758.2371	758.2371	NUM
cana-5927	252	100	688.5663	688.5663	NUM
cana-5927	252	101	1036.931	1036.931	NUM
cana-5927	252	102	1490.847	1490.847	NUM
cana-5927	252	103	2032.117	2032.117	NUM
cana-5927	252	104	6	6	NUM
cana-5927	252	105	719.2837	719.2837	NUM
cana-5927	252	106	652.8667	652.8667	NUM
cana-5927	252	107	982.726	982.726	NUM
cana-5927	252	108	1412.356	1412.356	NUM
cana-5927	252	109	1924.493	1924.493	NUM
cana-5927	252	110	7	7	NUM
cana-5927	252	111	684.1680	684.1680	NUM
cana-5927	252	112	620.7250	620.7250	NUM
cana-5927	252	113	933.975	933.975	NUM
cana-5927	252	114	1341.822	1341.822	NUM
cana-5927	252	115	1827.833	1827.833	NUM
cana-5927	252	116	table12	table12	NOUN
cana-5927	252	117	.	.	PUNCT
cana-5927	253	1	premiums	premium	NOUN
cana-5927	253	2	using	use	VERB
cana-5927	253	3	pa	pa	PROPN
cana-5927	253	4	under	under	ADP
cana-5927	253	5	entropy	entropy	NOUN
cana-5927	253	6	loss	loss	NOUN
cana-5927	253	7	function	function	NOUN
cana-5927	253	8	and	and	CCONJ
cana-5927	253	9	igl	igl	NOUN
cana-5927	253	10	under	under	ADP
cana-5927	253	11	quadratic	quadratic	ADJ
cana-5927	253	12	loss	loss	NOUN
cana-5927	253	13	function	function	NOUN
cana-5927	253	14	with	with	ADP
cana-5927	253	15	γ=14.0125	γ=14.0125	NOUN
cana-5927	253	16	,	,	PUNCT
cana-5927	253	17	α=1.08	α=1.08	PROPN
cana-5927	253	18	,	,	PUNCT
cana-5927	253	19	β=0.001766	β=0.001766	X
cana-5927	253	20	,	,	PUNCT
cana-5927	253	21	p=-0.2	p=-0.2	PROPN
cana-5927	253	22	t	t	PROPN
cana-5927	253	23	claimnumber	claimnumber	PROPN
cana-5927	253	24	0	0	NUM
cana-5927	253	25	1	1	NUM
cana-5927	253	26	2	2	NUM
cana-5927	253	27	3	3	NUM
cana-5927	253	28	4	4	NUM
cana-5927	253	29	1	1	NUM
cana-5927	253	30	89.91753	89.91753	NUM
cana-5927	253	31	562.9445	562.9445	NUM
cana-5927	253	32	1419.3163	1419.3163	NUM
cana-5927	253	33	2661.842	2661.842	NUM
cana-5927	253	34	4294.249	4294.249	NUM
cana-5927	253	35	2	2	NUM
cana-5927	253	36	84.16011	84.16011	NUM
cana-5927	253	37	526.3932	526.3932	NUM
cana-5927	253	38	1326.0473	1326.0473	NOUN
cana-5927	253	39	2485.199	2485.199	NUM
cana-5927	253	40	4007.143	4007.143	NOUN
cana-5927	253	41	3	3	NUM
cana-5927	253	42	79.10233	79.10233	NUM
cana-5927	253	43	494.3594	494.3594	NUM
cana-5927	253	44	1244.4574	1244.4574	NUM
cana-5927	253	45	2330.875	2330.875	NUM
cana-5927	253	46	3756.495	3756.495	NUM
cana-5927	253	47	4	4	NUM
cana-5927	253	48	74.62302	74.62302	NUM
cana-5927	253	49	466.0466	466.0466	NUM
cana-5927	253	50	1172.4629	1172.4629	NUM
cana-5927	253	51	2194.864	2194.864	PRON
cana-5927	253	52	3535.755	3535.755	NUM
cana-5927	253	53	5	5	NUM
cana-5927	253	54	70.62765	70.62765	NUM
cana-5927	253	55	440.8366	440.8366	NUM
cana-5927	253	56	1108.4504	1108.4504	NUM
cana-5927	253	57	2074.064	2074.064	NUM
cana-5927	253	58	3339.849	3339.849	NUM
cana-5927	253	59	6	6	NUM
cana-5927	253	60	67.04132	67.04132	NUM
cana-5927	253	61	418.2415	418.2415	NUM
cana-5927	253	62	1051.1506	1051.1506	NUM
cana-5927	253	63	1966.041	1966.041	NUM
cana-5927	253	64	3164.787	3164.787	NUM
cana-5927	253	65	7	7	NUM
cana-5927	253	66	63.80391	63.80391	NUM
cana-5927	253	67	397.8714	397.8714	NUM
cana-5927	253	68	999.5514	999.5514	NUM
cana-5927	253	69	1868.852	1868.852	NUM
cana-5927	253	70	3007.392	3007.392	NUM
cana-5927	253	71	table13	table13	NOUN
cana-5927	253	72	.	.	PUNCT
cana-5927	254	1	premiums	premium	NOUN
cana-5927	254	2	using	use	VERB
cana-5927	254	3	pa	pa	PROPN
cana-5927	254	4	under	under	ADP
cana-5927	254	5	entropy	entropy	NOUN
cana-5927	254	6	loss	loss	NOUN
cana-5927	254	7	function	function	NOUN
cana-5927	254	8	and	and	CCONJ
cana-5927	254	9	igl	igl	NOUN
cana-5927	254	10	under	under	ADP
cana-5927	254	11	quadratic	quadratic	ADJ
cana-5927	254	12	loss	loss	NOUN
cana-5927	254	13	function	function	NOUN
cana-5927	254	14	with	with	ADP
cana-5927	254	15	γ=14.0125	γ=14.0125	NOUN
cana-5927	254	16	,	,	PUNCT
cana-5927	254	17	α=1.08	α=1.08	PROPN
cana-5927	254	18	,	,	PUNCT
cana-5927	254	19	β=0.001766	β=0.001766	ADJ
cana-5927	254	20	,	,	PUNCT
cana-5927	254	21	p=0.2	p=0.2	NOUN
cana-5927	254	22	t	t	PROPN
cana-5927	254	23	claimnumber	claimnumber	PROPN
cana-5927	254	24	0	0	NUM
cana-5927	254	25	1	1	NUM
cana-5927	254	26	2	2	NUM
cana-5927	254	27	3	3	NUM
cana-5927	254	28	4	4	NUM
cana-5927	254	29	1	1	NUM
cana-5927	254	30	64.31164	64.31164	NUM
cana-5927	254	31	493.8480	493.8480	NUM
cana-5927	254	32	1309.4378	1309.4378	NUM
cana-5927	254	33	2511.456	2511.456	NUM
cana-5927	254	34	4103.346	4103.346	NUM
cana-5927	254	35	2	2	NUM
cana-5927	254	36	60.20601	60.20601	NUM
cana-5927	254	37	461.8679	461.8679	NUM
cana-5927	254	38	1223.5813	1223.5813	NUM
cana-5927	255	1	2345.089	2345.089	NUM
cana-5927	255	2	3829.361	3829.361	NUM
cana-5927	255	3	3	3	NUM
cana-5927	255	4	56.59740	56.59740	NUM
cana-5927	255	5	433.8280	433.8280	NUM
cana-5927	255	6	1148.4512	1148.4512	NUM
cana-5927	255	7	2199.711	2199.711	NUM
cana-5927	255	8	3590.144	3590.144	NUM
cana-5927	255	9	4	4	NUM
cana-5927	255	10	53.40011	53.40011	NUM
cana-5927	255	11	409.0360	409.0360	NUM
cana-5927	255	12	1082.1373	1082.1373	NUM
cana-5927	255	13	2071.558	2071.558	NUM
cana-5927	255	14	3379.447	3379.447	NUM
cana-5927	255	15	5	5	NUM
cana-5927	255	16	50.54717	50.54717	NUM
cana-5927	255	17	386.9536	386.9536	NUM
cana-5927	255	18	1020.1601	1020.1601	NUM
cana-5927	255	19	1957.716	1957.716	NUM
cana-5927	255	20	3192.432	3192.432	NUM
cana-5927	255	21	6	6	NUM
cana-5927	255	22	47.98548	47.98548	NUM
cana-5927	255	23	367.1562	367.1562	NUM
cana-5927	255	24	970.3553	970.3553	NUM
cana-5927	255	25	1855.896	1855.896	NUM
cana-5927	255	26	3025.294	3025.294	NUM
cana-5927	255	27	7	7	NUM
cana-5927	255	28	45.67238	45.67238	NUM
cana-5927	255	29	349.3038	349.3038	NUM
cana-5927	255	30	922.7940	922.7940	NUM
cana-5927	255	31	1764.274	1764.274	NUM
cana-5927	255	32	2875.006	2875.006	NUM
cana-5927	255	33	•	•	NUM
cana-5927	255	34	discussion.we	discussion.we	NOUN
cana-5927	255	35	note	note	VERB
cana-5927	255	36	that	that	SCONJ
cana-5927	255	37	the	the	DET
cana-5927	255	38	premiums	premium	NOUN
cana-5927	255	39	using	use	VERB
cana-5927	255	40	the	the	DET
cana-5927	255	41	entropy	entropy	NOUN
cana-5927	255	42	loss	loss	NOUN
cana-5927	255	43	function	function	NOUN
cana-5927	255	44	are	be	AUX
cana-5927	255	45	the	the	DET
cana-5927	255	46	most	most	ADV
cana-5927	255	47	punitive	punitive	ADJ
cana-5927	255	48	with	with	ADP
cana-5927	255	49	bad	bad	ADJ
cana-5927	255	50	drivers	driver	NOUN
cana-5927	255	51	and	and	CCONJ
cana-5927	255	52	the	the	DET
cana-5927	255	53	lightest	light	ADJ
cana-5927	255	54	with	with	ADP
cana-5927	255	55	good	good	ADJ
cana-5927	255	56	drivers	driver	NOUN
cana-5927	255	57	in	in	ADP
cana-5927	255	58	these	these	DET
cana-5927	255	59	tables	table	NOUN
cana-5927	255	60	.	.	PUNCT
cana-5927	256	1	in	in	ADP
cana-5927	256	2	addition	addition	NOUN
cana-5927	256	3	to	to	ADP
cana-5927	256	4	attracting	attract	VERB
cana-5927	256	5	drivers	driver	NOUN
cana-5927	256	6	and	and	CCONJ
cana-5927	256	7	requiring	require	VERB
cana-5927	256	8	them	they	PRON
cana-5927	256	9	to	to	PART
cana-5927	256	10	behave	behave	VERB
cana-5927	256	11	well	well	ADV
cana-5927	256	12	in	in	ADP
cana-5927	256	13	order	order	NOUN
cana-5927	256	14	to	to	PART
cana-5927	256	15	receive	receive	VERB
cana-5927	256	16	some	some	DET
cana-5927	256	17	very	very	ADV
cana-5927	256	18	interesting	interesting	ADJ
cana-5927	256	19	premiums	premium	NOUN
cana-5927	256	20	,	,	PUNCT
cana-5927	256	21	this	this	PRON
cana-5927	256	22	can	can	AUX
cana-5927	256	23	assist	assist	VERB
cana-5927	256	24	insurers	insurer	NOUN
cana-5927	256	25	in	in	ADP
cana-5927	256	26	establishing	establish	VERB
cana-5927	256	27	balance	balance	NOUN
cana-5927	256	28	and	and	CCONJ
cana-5927	256	29	solvability	solvability	NOUN
cana-5927	256	30	within	within	ADP
cana-5927	256	31	the	the	DET
cana-5927	256	32	insurance	insurance	NOUN
cana-5927	256	33	companies	company	NOUN
cana-5927	256	34	.	.	PUNCT
cana-5927	257	1	we	we	PRON
cana-5927	257	2	communications	communication	VERB
cana-5927	257	3	on	on	ADP
cana-5927	257	4	applied	apply	VERB
cana-5927	257	5	nonlinear	nonlinear	ADJ
cana-5927	257	6	analysis	analysis	NOUN
cana-5927	257	7	issn	issn	NOUN
cana-5927	257	8	:	:	PUNCT
cana-5927	257	9	1074	1074	NUM
cana-5927	257	10	-	-	PUNCT
cana-5927	257	11	133x	133x	NUM
cana-5927	257	12	vol	vol	VERB
cana-5927	257	13	32	32	NUM
cana-5927	257	14	no	no	NOUN
cana-5927	257	15	.	.	PUNCT
cana-5927	258	1	10s	10	NOUN
cana-5927	258	2	(	(	PUNCT
cana-5927	258	3	2025	2025	NUM
cana-5927	258	4	)	)	PUNCT
cana-5927	258	5	3075	3075	NUM
cana-5927	259	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5927	259	2	observe	observe	VERB
cana-5927	259	3	that	that	SCONJ
cana-5927	259	4	premiums	premium	NOUN
cana-5927	259	5	using	use	VERB
cana-5927	259	6	linex	linex	ADJ
cana-5927	259	7	loss	loss	NOUN
cana-5927	259	8	function	function	NOUN
cana-5927	259	9	in	in	ADP
cana-5927	259	10	the	the	DET
cana-5927	259	11	over	over	NOUN
cana-5927	259	12	estimation	estimation	NOUN
cana-5927	259	13	are	be	AUX
cana-5927	259	14	the	the	DET
cana-5927	259	15	most	most	ADV
cana-5927	259	16	severe	severe	ADJ
cana-5927	259	17	with	with	ADP
cana-5927	259	18	bad	bad	ADJ
cana-5927	259	19	drivers	driver	NOUN
cana-5927	259	20	,	,	PUNCT
cana-5927	259	21	and	and	CCONJ
cana-5927	259	22	those	those	PRON
cana-5927	259	23	in	in	ADP
cana-5927	259	24	the	the	DET
cana-5927	259	25	under	under	NOUN
cana-5927	259	26	estimation	estimation	NOUN
cana-5927	259	27	are	be	AUX
cana-5927	259	28	the	the	DET
cana-5927	259	29	most	most	ADV
cana-5927	259	30	severe	severe	ADJ
cana-5927	259	31	with	with	ADP
cana-5927	259	32	good	good	ADJ
cana-5927	259	33	drivers	driver	NOUN
cana-5927	259	34	.	.	PUNCT
cana-5927	260	1	5.3.2	5.3.2	X
cana-5927	260	2	.	.	PUNCT
cana-5927	261	1	premiumsusinginversegammalindleyunderlinexlossfunctionfortheclaimseverity.the	premiumsusinginversegammalindleyunderlinexlossfunctionfortheclaimseverity.the	DET
cana-5927	261	2	premiums	premium	NOUN
cana-5927	261	3	employing	employ	VERB
cana-5927	261	4	the	the	DET
cana-5927	261	5	invers	inver	NOUN
cana-5927	261	6	-	-	PUNCT
cana-5927	261	7	gamma	gamma	NOUN
cana-5927	261	8	lindley	lindley	NOUN
cana-5927	261	9	distribution	distribution	NOUN
cana-5927	261	10	under	under	ADP
cana-5927	261	11	the	the	DET
cana-5927	261	12	linex	linex	ADJ
cana-5927	261	13	loss	loss	NOUN
cana-5927	261	14	function	function	NOUN
cana-5927	261	15	for	for	ADP
cana-5927	261	16	the	the	DET
cana-5927	261	17	severity	severity	NOUN
cana-5927	261	18	claim	claim	NOUN
cana-5927	261	19	are	be	AUX
cana-5927	261	20	provided	provide	VERB
cana-5927	261	21	in	in	ADP
cana-5927	261	22	this	this	DET
cana-5927	261	23	section	section	NOUN
cana-5927	261	24	's	's	PART
cana-5927	261	25	tables	table	NOUN
cana-5927	261	26	[	[	X
cana-5927	261	27	14–16	14–16	NUM
cana-5927	261	28	]	]	PUNCT
cana-5927	261	29	.	.	PUNCT
cana-5927	262	1	the	the	DET
cana-5927	262	2	poissonakash	poissonakash	ADJ
cana-5927	262	3	distribution	distribution	NOUN
cana-5927	262	4	under	under	ADP
cana-5927	262	5	several	several	ADJ
cana-5927	262	6	loss	loss	NOUN
cana-5927	262	7	functions	function	NOUN
cana-5927	262	8	(	(	PUNCT
cana-5927	262	9	quadratic	quadratic	ADJ
cana-5927	262	10	,	,	PUNCT
cana-5927	262	11	linex	linex	ADV
cana-5927	262	12	(	(	PUNCT
cana-5927	262	13	a=1.1	a=1.1	NOUN
cana-5927	262	14	and	and	CCONJ
cana-5927	262	15	a=-0.3	a=-0.3	NUM
cana-5927	262	16	)	)	PUNCT
cana-5927	262	17	,	,	PUNCT
cana-5927	262	18	and	and	CCONJ
cana-5927	262	19	entropy	entropy	NOUN
cana-5927	262	20	(	(	PUNCT
cana-5927	262	21	p=0.2	p=0.2	NOUN
cana-5927	262	22	and	and	CCONJ
cana-5927	262	23	p=-0.2	p=-0.2	NUM
cana-5927	262	24	)	)	PUNCT
cana-5927	262	25	)	)	PUNCT
cana-5927	262	26	will	will	AUX
cana-5927	262	27	be	be	AUX
cana-5927	262	28	used	use	VERB
cana-5927	262	29	to	to	PART
cana-5927	262	30	determine	determine	VERB
cana-5927	262	31	the	the	DET
cana-5927	262	32	claim	claim	NOUN
cana-5927	262	33	frequency	frequency	NOUN
cana-5927	262	34	.	.	PUNCT
cana-5927	263	1	table	table	NOUN
cana-5927	263	2	2	2	NUM
cana-5927	263	3	's	's	PART
cana-5927	263	4	formulas	formula	NOUN
cana-5927	263	5	(	(	PUNCT
cana-5927	263	6	14	14	NUM
cana-5927	263	7	)	)	PUNCT
cana-5927	263	8	,	,	PUNCT
cana-5927	263	9	(	(	PUNCT
cana-5927	263	10	15	15	NUM
cana-5927	263	11	)	)	PUNCT
cana-5927	263	12	,	,	PUNCT
cana-5927	263	13	and	and	CCONJ
cana-5927	263	14	(	(	PUNCT
cana-5927	263	15	16	16	NUM
cana-5927	263	16	)	)	PUNCT
cana-5927	263	17	were	be	AUX
cana-5927	263	18	used	use	VERB
cana-5927	263	19	to	to	PART
cana-5927	263	20	create	create	VERB
cana-5927	263	21	the	the	DET
cana-5927	263	22	tables	table	NOUN
cana-5927	263	23	which	which	PRON
cana-5927	263	24	follow	follow	VERB
cana-5927	263	25	.	.	PUNCT
cana-5927	264	1	table14.premiums	table14.premium	NOUN
cana-5927	264	2	using	use	VERB
cana-5927	264	3	poisson	poisson	NOUN
cana-5927	264	4	-	-	NOUN
cana-5927	264	5	akash	akash	NOUN
cana-5927	264	6	under	under	ADP
cana-5927	264	7	quadratic	quadratic	ADJ
cana-5927	264	8	loss	loss	NOUN
cana-5927	264	9	function	function	NOUN
cana-5927	264	10	and	and	CCONJ
cana-5927	264	11	inverse	inverse	NOUN
cana-5927	264	12	-	-	PUNCT
cana-5927	264	13	gamma	gamma	NOUN
cana-5927	264	14	lindley	lindley	PROPN
cana-5927	264	15	linex	linex	ADV
cana-5927	264	16	loss	loss	NOUN
cana-5927	264	17	function	function	NOUN
cana-5927	264	18	with	with	ADP
cana-5927	264	19	γ=14.0125	γ=14.0125	NOUN
cana-5927	264	20	,	,	PUNCT
cana-5927	264	21	α=1.08	α=1.08	PROPN
cana-5927	264	22	,	,	PUNCT
cana-5927	264	23	β=0.001766	β=0.001766	PUNCT
cana-5927	264	24	et	et	NOUN
cana-5927	264	25	a=1.1	a=1.1	PROPN
cana-5927	264	26	t	t	PROPN
cana-5927	264	27	claimnumber	claimnumber	VERB
cana-5927	264	28	0	0	NUM
cana-5927	264	29	1	1	NUM
cana-5927	264	30	2	2	NUM
cana-5927	264	31	3	3	NUM
cana-5927	264	32	4	4	NUM
cana-5927	264	33	1	1	NUM
cana-5927	264	34	831.8621	831.8621	NUM
cana-5927	264	35	2293.440	2293.440	NUM
cana-5927	264	36	4652.594	4652.594	PRON
cana-5927	264	37	7848.582	7848.582	NUM
cana-5927	264	38	11874.183	11874.183	NUM
cana-5927	264	39	2	2	NUM
cana-5927	264	40	778.2924	778.2924	NUM
cana-5927	264	41	2143.785	2143.785	NUM
cana-5927	264	42	4345.595	4345.595	NUM
cana-5927	264	43	7326.086	7326.086	NUM
cana-5927	264	44	11078.501	11078.501	NUM
cana-5927	264	45	3	3	NUM
cana-5927	264	46	731.2787	731.2787	NUM
cana-5927	264	47	2012.731	2012.731	NUM
cana-5927	264	48	4077.189	4077.189	NUM
cana-5927	264	49	6869.759	6869.759	PROPN
cana-5927	264	50	10383.949	10383.949	NUM
cana-5927	264	51	4	4	NUM
cana-5927	264	52	689.6770	689.6770	NUM
cana-5927	264	53	1896.979	1896.979	NUM
cana-5927	264	54	3840.471	3840.471	NUM
cana-5927	264	55	6467.716	6467.716	NUM
cana-5927	264	56	9772.374	9772.374	NUM
cana-5927	264	57	5	5	NUM
cana-5927	264	58	652.5964	652.5964	NUM
cana-5927	264	59	1793.975	1793.975	NUM
cana-5927	264	60	3630.097	3630.097	NUM
cana-5927	264	61	6110.755	6110.755	NUM
cana-5927	264	62	9229.703	9229.703	NUM
cana-5927	264	63	6	6	NUM
cana-5927	264	64	619.3326	619.3326	NUM
cana-5927	264	65	1701.703	1701.703	NUM
cana-5927	264	66	3441.863	3441.863	NUM
cana-5927	264	67	5791.645	5791.645	NUM
cana-5927	264	68	8744.865	8744.865	NUM
cana-5927	264	69	7	7	NUM
cana-5927	264	70	589.3213	589.3213	NUM
cana-5927	264	71	1618.557	1618.557	NUM
cana-5927	264	72	3272.421	3272.421	NUM
cana-5927	264	73	5504.627	5504.627	NUM
cana-5927	264	74	8309.040	8309.040	NUM
cana-5927	264	75	table15	table15	NOUN
cana-5927	264	76	.	.	PUNCT
cana-5927	265	1	premiums	premium	NOUN
cana-5927	265	2	using	use	VERB
cana-5927	265	3	poisson	poisson	NOUN
cana-5927	265	4	-	-	NOUN
cana-5927	265	5	akash	akash	NOUN
cana-5927	265	6	under	under	ADP
cana-5927	265	7	entropy	entropy	NOUN
cana-5927	265	8	loss	loss	NOUN
cana-5927	265	9	function	function	NOUN
cana-5927	265	10	and	and	CCONJ
cana-5927	265	11	inverse	inverse	NOUN
cana-5927	265	12	-	-	PUNCT
cana-5927	265	13	gamma	gamma	NOUN
cana-5927	265	14	lindley	lindley	PROPN
cana-5927	265	15	linex	linex	ADV
cana-5927	265	16	loss	loss	NOUN
cana-5927	265	17	function	function	NOUN
cana-5927	265	18	with	with	ADP
cana-5927	265	19	γ=14.0125,α=1.08,β=0.001766,a=1.1etp=-0.2	γ=14.0125,α=1.08,β=0.001766,a=1.1etp=-0.2	PROPN
cana-5927	265	20	t	t	PROPN
cana-5927	265	21	claimnumber	claimnumber	PROPN
cana-5927	265	22	0	0	NUM
cana-5927	265	23	1	1	NUM
cana-5927	265	24	2	2	NUM
cana-5927	265	25	3	3	NUM
cana-5927	265	26	4	4	NUM
cana-5927	265	27	1	1	NUM
cana-5927	265	28	564.8014	564.8014	NUM
cana-5927	265	29	1856.730	1856.730	NUM
cana-5927	265	30	3993.547	3993.547	NUM
cana-5927	265	31	6943.714	6943.714	NUM
cana-5927	265	32	10703.656	10703.656	NUM
cana-5927	265	33	2	2	NUM
cana-5927	265	34	528.6372	528.6372	NUM
cana-5927	265	35	1736.175	1736.175	NUM
cana-5927	265	36	3731.115	3731.115	NUM
cana-5927	265	37	6482.922	6482.922	NUM
cana-5927	265	38	9988.027	9988.027	NUM
cana-5927	265	39	3	3	NUM
cana-5927	265	40	496.8676	496.8676	NUM
cana-5927	265	41	1630.520	1630.520	NUM
cana-5927	265	42	3501.545	3501.545	NUM
cana-5927	265	43	6080.351	6080.351	NUM
cana-5927	265	44	9363.274	9363.274	NUM
cana-5927	265	45	4	4	NUM
cana-5927	265	46	468.7316	468.7316	NUM
cana-5927	265	47	1537.137	1537.137	NUM
cana-5927	265	48	3298.973	3298.973	NUM
cana-5927	265	49	5725.549	5725.549	NUM
cana-5927	265	50	8813.068	8813.068	NUM
cana-5927	265	51	5	5	NUM
cana-5927	265	52	443.6353	443.6353	NUM
cana-5927	265	53	1453.988	1453.988	NUM
cana-5927	265	54	3118.860	3118.860	NUM
cana-5927	265	55	5410.430	5410.430	NUM
cana-5927	265	56	8324.761	8324.761	NUM
cana-5927	265	57	6	6	NUM
cana-5927	265	58	421.1084	421.1084	NUM
cana-5927	265	59	1379.464	1379.464	NUM
cana-5927	265	60	2957.635	2957.635	NUM
cana-5927	265	61	5128.638	5128.638	NUM
cana-5927	265	62	7888.409	7888.409	NUM
cana-5927	265	63	7	7	NUM
cana-5927	265	64	400.7732	400.7732	NUM
cana-5927	265	65	1312.278	1312.278	NUM
cana-5927	265	66	2812.450	2812.450	NOUN
cana-5927	265	67	4875.112	4875.112	NUM
cana-5927	265	68	7496.091	7496.091	NUM
cana-5927	265	69	table16	table16	NOUN
cana-5927	265	70	.	.	PUNCT
cana-5927	266	1	premiums	premium	NOUN
cana-5927	266	2	using	use	VERB
cana-5927	266	3	poisson	poisson	NOUN
cana-5927	266	4	-	-	NOUN
cana-5927	266	5	akash	akash	NOUN
cana-5927	266	6	under	under	ADP
cana-5927	266	7	entropy	entropy	NOUN
cana-5927	266	8	loss	loss	NOUN
cana-5927	266	9	function	function	NOUN
cana-5927	266	10	and	and	CCONJ
cana-5927	266	11	inverse	inverse	NOUN
cana-5927	266	12	-	-	PUNCT
cana-5927	266	13	gamma	gamma	NOUN
cana-5927	266	14	lindley	lindley	PROPN
cana-5927	266	15	linex	linex	ADV
cana-5927	266	16	loss	loss	NOUN
cana-5927	266	17	function	function	NOUN
cana-5927	266	18	with	with	ADP
cana-5927	266	19	γ=14.0125	γ=14.0125	NOUN
cana-5927	266	20	,	,	PUNCT
cana-5927	266	21	α=1.08	α=1.08	PROPN
cana-5927	266	22	,	,	PUNCT
cana-5927	266	23	β=0.001766	β=0.001766	X
cana-5927	266	24	,	,	PUNCT
cana-5927	266	25	a=1.1	a=1.1	PROPN
cana-5927	266	26	et	et	PROPN
cana-5927	266	27	p=0.2	p=0.2	PROPN
cana-5927	266	28	t	t	PROPN
cana-5927	266	29	claimnumber	claimnumber	PROPN
cana-5927	266	30	0	0	NUM
cana-5927	266	31	1	1	NUM
cana-5927	266	32	2	2	NUM
cana-5927	266	33	3	3	NUM
cana-5927	266	34	4	4	NUM
cana-5927	266	35	1	1	NUM
cana-5927	266	36	403.9624	403.9624	NUM
cana-5927	266	37	1628.833	1628.833	NUM
cana-5927	266	38	3684.381	3684.381	NUM
cana-5927	267	1	6551.416	6551.416	NUM
cana-5927	268	1	10227.818	10227.818	NUM
cana-5927	268	2	2	2	NUM
cana-5927	268	3	378.1736	378.1736	NUM
cana-5927	268	4	1523.355	1523.355	NUM
cana-5927	268	5	3422.806	3422.806	NUM
cana-5927	268	6	6117.428	6117.428	NUM
cana-5927	268	7	9544.896	9544.896	NUM
cana-5927	268	8	3	3	NUM
cana-5927	268	9	355.5068	355.5068	NUM
cana-5927	268	10	1430.872	1430.872	NUM
cana-5927	268	11	3201.411	3201.411	NUM
cana-5927	268	12	5738.193	5738.193	NUM
cana-5927	268	13	8948.636	8948.636	NUM
cana-5927	268	14	4	4	NUM
cana-5927	268	15	339.4235	339.4235	NUM
cana-5927	268	16	1349.102	1349.102	NUM
cana-5927	268	17	3044.823	3044.823	NUM
cana-5927	268	18	5403.891	5403.891	NUM
cana-5927	268	19	8423.462	8423.462	NUM
cana-5927	268	20	communications	communication	NOUN
cana-5927	268	21	on	on	ADP
cana-5927	268	22	applied	apply	VERB
cana-5927	268	23	nonlinear	nonlinear	ADJ
cana-5927	268	24	analysis	analysis	NOUN
cana-5927	268	25	issn	issn	NOUN
cana-5927	268	26	:	:	PUNCT
cana-5927	268	27	1074	1074	NUM
cana-5927	268	28	-	-	PUNCT
cana-5927	268	29	133x	133x	NUM
cana-5927	268	30	vol	vol	VERB
cana-5927	268	31	32	32	NUM
cana-5927	268	32	no	no	NOUN
cana-5927	268	33	.	.	PUNCT
cana-5927	269	1	10s	10	NOUN
cana-5927	269	2	(	(	PUNCT
cana-5927	269	3	2025	2025	NUM
cana-5927	269	4	)	)	PUNCT
cana-5927	269	5	3076	3076	NUM
cana-5927	270	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5927	270	2	5	5	NUM
cana-5927	270	3	317.5033	317.5033	NUM
cana-5927	270	4	1276.269	1276.269	NUM
cana-5927	270	5	2878.878	2878.878	NUM
cana-5927	270	6	5106.922	5106.922	NUM
cana-5927	270	7	7957.314	7957.314	NUM
cana-5927	270	8	6	6	NUM
cana-5927	270	9	301.4125	301.4125	NUM
cana-5927	270	10	1210.972	1210.972	NUM
cana-5927	270	11	2730.301	2730.301	NUM
cana-5927	270	12	4841.313	4841.313	PRON
cana-5927	270	13	7540.715	7540.715	NUM
cana-5927	270	14	7	7	NUM
cana-5927	270	15	286.8832	286.8832	NUM
cana-5927	270	16	1152.090	1152.090	NUM
cana-5927	270	17	2596.477	2596.477	NUM
cana-5927	270	18	4602.308	4602.308	NUM
cana-5927	270	19	7166.113	7166.113	NUM
cana-5927	270	20	•	•	NOUN
cana-5927	270	21	discussion.according	discussion.accorde	VERB
cana-5927	270	22	to	to	ADP
cana-5927	270	23	these	these	DET
cana-5927	270	24	tables	table	NOUN
cana-5927	270	25	,	,	PUNCT
cana-5927	270	26	premiums	premium	NOUN
cana-5927	270	27	that	that	PRON
cana-5927	270	28	use	use	VERB
cana-5927	270	29	the	the	DET
cana-5927	270	30	entropy	entropy	NOUN
cana-5927	270	31	loss	loss	NOUN
cana-5927	270	32	function	function	NOUN
cana-5927	270	33	are	be	AUX
cana-5927	270	34	the	the	DET
cana-5927	270	35	gentler	gentle	ADJ
cana-5927	270	36	with	with	ADP
cana-5927	270	37	all	all	DET
cana-5927	270	38	drivers	driver	NOUN
cana-5927	270	39	,	,	PUNCT
cana-5927	270	40	whereas	whereas	SCONJ
cana-5927	270	41	those	those	PRON
cana-5927	270	42	that	that	PRON
cana-5927	270	43	use	use	VERB
cana-5927	270	44	the	the	DET
cana-5927	270	45	quadratic	quadratic	ADJ
cana-5927	270	46	loss	loss	NOUN
cana-5927	270	47	function	function	NOUN
cana-5927	270	48	are	be	AUX
cana-5927	270	49	the	the	DET
cana-5927	270	50	harshest	harsh	ADJ
cana-5927	270	51	with	with	ADP
cana-5927	270	52	both	both	CCONJ
cana-5927	270	53	good	good	ADJ
cana-5927	270	54	and	and	CCONJ
cana-5927	270	55	bad	bad	ADJ
cana-5927	270	56	drivers	driver	NOUN
cana-5927	270	57	.	.	PUNCT
cana-5927	271	1	5.3.3	5.3.3	X
cana-5927	271	2	.	.	PUNCT
cana-5927	272	1	premiums	premium	NOUN
cana-5927	272	2	using	use	VERB
cana-5927	272	3	inverse	inverse	NOUN
cana-5927	272	4	-	-	PUNCT
cana-5927	272	5	gamma	gamma	NOUN
cana-5927	272	6	lindley	lindley	NOUN
cana-5927	272	7	under	under	ADP
cana-5927	272	8	entropy	entropy	PROPN
cana-5927	272	9	loss	loss	NOUN
cana-5927	272	10	functionfortheclaimseverity.this	functionfortheclaimseverity.this	DET
cana-5927	272	11	part	part	NOUN
cana-5927	272	12	introduces	introduce	VERB
cana-5927	272	13	the	the	DET
cana-5927	272	14	tables	table	NOUN
cana-5927	272	15	[	[	X
cana-5927	272	16	17	17	NUM
cana-5927	272	17	-	-	SYM
cana-5927	272	18	22	22	NUM
cana-5927	272	19	]	]	PUNCT
cana-5927	272	20	which	which	PRON
cana-5927	272	21	represents	represent	VERB
cana-5927	272	22	the	the	DET
cana-5927	272	23	premiums	premium	NOUN
cana-5927	272	24	using	use	VERB
cana-5927	272	25	the	the	DET
cana-5927	272	26	invers	inver	NOUN
cana-5927	272	27	-	-	PUNCT
cana-5927	272	28	gamma	gamma	NOUN
cana-5927	272	29	lindley	lindley	NOUN
cana-5927	272	30	distribution	distribution	NOUN
cana-5927	272	31	undertheentropylossfunctionfortheseverityclaim.poisson	undertheentropylossfunctionfortheseverityclaim.poisson	NOUN
cana-5927	272	32	-	-	PUNCT
cana-5927	272	33	akash	akash	NOUN
cana-5927	272	34	distribution	distribution	NOUN
cana-5927	272	35	under	under	ADP
cana-5927	272	36	different	different	ADJ
cana-5927	272	37	loss	loss	NOUN
cana-5927	272	38	functions	function	NOUN
cana-5927	272	39	(	(	PUNCT
cana-5927	272	40	quadratic	quadratic	ADJ
cana-5927	272	41	,	,	PUNCT
cana-5927	272	42	linex	linex	ADV
cana-5927	272	43	(	(	PUNCT
cana-5927	272	44	a=1.1	a=1.1	NOUN
cana-5927	272	45	and	and	CCONJ
cana-5927	272	46	a=-0.3	a=-0.3	NUM
cana-5927	272	47	)	)	PUNCT
cana-5927	272	48	and	and	CCONJ
cana-5927	272	49	entropy	entropy	NOUN
cana-5927	272	50	(	(	PUNCT
cana-5927	272	51	p=0.2	p=0.2	NOUN
cana-5927	272	52	and	and	CCONJ
cana-5927	272	53	p=-0.2	p=-0.2	NUM
cana-5927	272	54	)	)	PUNCT
cana-5927	272	55	)	)	PUNCT
cana-5927	272	56	will	will	AUX
cana-5927	272	57	be	be	AUX
cana-5927	272	58	employed	employ	VERB
cana-5927	272	59	fortheclaimfrequency.the	fortheclaimfrequency.the	DET
cana-5927	272	60	formulas	formula	NOUN
cana-5927	272	61	(	(	PUNCT
cana-5927	272	62	17	17	NUM
cana-5927	272	63	)	)	PUNCT
cana-5927	272	64	,	,	PUNCT
cana-5927	272	65	(	(	PUNCT
cana-5927	272	66	17	17	NUM
cana-5927	272	67	)	)	PUNCT
cana-5927	272	68	and	and	CCONJ
cana-5927	272	69	(	(	PUNCT
cana-5927	272	70	18	18	NUM
cana-5927	272	71	)	)	PUNCT
cana-5927	272	72	from	from	ADP
cana-5927	272	73	table	table	NOUN
cana-5927	272	74	3	3	NUM
cana-5927	272	75	were	be	AUX
cana-5927	272	76	used	use	VERB
cana-5927	272	77	to	to	PART
cana-5927	272	78	create	create	VERB
cana-5927	272	79	the	the	DET
cana-5927	272	80	tables	table	NOUN
cana-5927	272	81	bellow	bellow	ADJ
cana-5927	272	82	.	.	PUNCT
cana-5927	273	1	table17.premiums	table17.premium	NOUN
cana-5927	273	2	using	use	VERB
cana-5927	273	3	poisson	poisson	NOUN
cana-5927	273	4	-	-	NOUN
cana-5927	273	5	akash	akash	NOUN
cana-5927	273	6	under	under	ADP
cana-5927	273	7	quadratic	quadratic	ADJ
cana-5927	273	8	loss	loss	NOUN
cana-5927	273	9	functionandinverse	functionandinverse	NOUN
cana-5927	273	10	-	-	PUNCT
cana-5927	273	11	gammalindleyunderentropylossfunction	gammalindleyunderentropylossfunction	NOUN
cana-5927	273	12	with	with	ADP
cana-5927	273	13	γ=14.0125	γ=14.0125	NOUN
cana-5927	273	14	,	,	PUNCT
cana-5927	273	15	α=1.08	α=1.08	PROPN
cana-5927	273	16	,	,	PUNCT
cana-5927	273	17	β=0.001766	β=0.001766	ADJ
cana-5927	273	18	,	,	PUNCT
cana-5927	273	19	p=	p=	ADJ
cana-5927	273	20	-1.1	-1.1	PROPN
cana-5927	273	21	t	t	PROPN
cana-5927	273	22	claimnumber	claimnumber	NOUN
cana-5927	273	23	0	0	NUM
cana-5927	273	24	1	1	NUM
cana-5927	273	25	2	2	NUM
cana-5927	273	26	3	3	NUM
cana-5927	273	27	4	4	NUM
cana-5927	273	28	1	1	NUM
cana-5927	273	29	551.1474	551.1474	NUM
cana-5927	273	30	556.9714	556.9714	NUM
cana-5927	273	31	860.9861	860.9861	NUM
cana-5927	273	32	1255.7779	1255.7779	NUM
cana-5927	273	33	1728.308	1728.308	NUM
cana-5927	273	34	2	2	NUM
cana-5927	273	35	515.6550	515.6550	NUM
cana-5927	273	36	520.6273	520.6273	NUM
cana-5927	273	37	804.1743	804.1743	NUM
cana-5927	273	38	1172.1782	1172.1782	NUM
cana-5927	273	39	1612.496	1612.496	NUM
cana-5927	273	40	3	3	NUM
cana-5927	273	41	484.5062	484.5062	NUM
cana-5927	273	42	488.8001	488.8001	NUM
cana-5927	273	43	754.5044	754.5044	NUM
cana-5927	273	44	1099.1657	1099.1657	NUM
cana-5927	273	45	1511.402	1511.402	NUM
cana-5927	273	46	4	4	NUM
cana-5927	273	47	456.9431	456.9431	NUM
cana-5927	273	48	460.6893	460.6893	NUM
cana-5927	273	49	710.6986	710.6986	NUM
cana-5927	273	50	1034.8385	1034.8385	NUM
cana-5927	273	51	1422.386	1422.386	NUM
cana-5927	273	52	5	5	NUM
cana-5927	273	53	432.3755	432.3755	NUM
cana-5927	273	54	435.6742	435.6742	NUM
cana-5927	274	1	671.7677	671.7677	NUM
cana-5927	274	2	977.7245	977.7245	NUM
cana-5927	274	3	1343.400	1343.400	NUM
cana-5927	274	4	6	6	NUM
cana-5927	274	5	410.3367	410.3367	NUM
cana-5927	274	6	413.2658	413.2658	NUM
cana-5927	275	1	636.9341	636.9341	NUM
cana-5927	275	2	926.6668	926.6668	NUM
cana-5927	275	3	1272.831	1272.831	NUM
cana-5927	275	4	7	7	NUM
cana-5927	275	5	390.4528	390.4528	NUM
cana-5927	275	6	393.0733	393.0733	NUM
cana-5927	275	7	605.5780	605.5780	NUM
cana-5927	275	8	880.7437	880.7437	NUM
cana-5927	275	9	1209.395	1209.395	NUM
cana-5927	275	10	table18.premiums	table18.premium	NOUN
cana-5927	275	11	using	use	VERB
cana-5927	275	12	poisson	poisson	NOUN
cana-5927	275	13	-	-	NOUN
cana-5927	275	14	akash	akash	NOUN
cana-5927	275	15	under	under	ADP
cana-5927	275	16	linex	linex	ADJ
cana-5927	275	17	loss	loss	NOUN
cana-5927	275	18	function	function	NOUN
cana-5927	275	19	and	and	CCONJ
cana-5927	275	20	inverse	inverse	NOUN
cana-5927	275	21	-	-	PUNCT
cana-5927	275	22	gamma	gamma	NOUN
cana-5927	275	23	lindley	lindley	NOUN
cana-5927	275	24	under	under	ADP
cana-5927	275	25	entropy	entropy	PROPN
cana-5927	275	26	loss	loss	NOUN
cana-5927	275	27	function	function	NOUN
cana-5927	275	28	withγ=14.0125,α=1.08,β=0.001766,a=1.1,p=-1.1	withγ=14.0125,α=1.08,β=0.001766,a=1.1,p=-1.1	PROPN
cana-5927	275	29	t	t	PROPN
cana-5927	275	30	claimnumber	claimnumber	NOUN
cana-5927	275	31	0	0	NUM
cana-5927	275	32	1	1	NUM
cana-5927	275	33	2	2	NUM
cana-5927	275	34	3	3	NUM
cana-5927	275	35	4	4	NUM
cana-5927	275	36	1	1	NUM
cana-5927	275	37	531.2749	531.2749	NUM
cana-5927	275	38	536.6159	536.6159	NUM
cana-5927	275	39	829.1599	829.1599	NUM
cana-5927	275	40	1208.9383	1208.9383	NUM
cana-5927	275	41	1663.416	1663.416	NUM
cana-5927	275	42	2	2	NUM
cana-5927	276	1	498.2347	498.2347	NUM
cana-5927	276	2	502.8229	502.8229	NUM
cana-5927	276	3	776.3830	776.3830	NUM
cana-5927	276	4	1131.3205	1131.3205	NUM
cana-5927	276	5	1555.920	1555.920	NUM
cana-5927	276	6	3	3	NUM
cana-5927	276	7	469.1068	469.1068	NUM
cana-5927	276	8	473.0912	473.0912	NUM
cana-5927	276	9	730.0203	730.0203	NUM
cana-5927	276	10	1063.2070	1063.2070	PROPN
cana-5927	276	11	1461.639	1461.639	NUM
cana-5927	276	12	4	4	NUM
cana-5927	276	13	443.2296	443.2296	NUM
cana-5927	276	14	446.7232	446.7232	NUM
cana-5927	276	15	688.9597	688.9597	NUM
cana-5927	276	16	1002.9424	1002.9424	NUM
cana-5927	276	17	1378.272	1378.272	NUM
cana-5927	276	18	5	5	NUM
cana-5927	276	19	420.0833	420.0833	NUM
cana-5927	276	20	423.1737	423.1737	NUM
cana-5927	276	21	652.3331	652.3331	NUM
cana-5927	276	22	949.2348	949.2348	NUM
cana-5927	276	23	1304.020	1304.020	NUM
cana-5927	276	24	6	6	NUM
cana-5927	276	25	399.2543	399.2543	NUM
cana-5927	276	26	402.0097	402.0097	NUM
cana-5927	276	27	619.4528	619.4528	NUM
cana-5927	276	28	901.0616	901.0616	NUM
cana-5927	276	29	1237.459	1237.459	NUM
cana-5927	276	30	7	7	NUM
cana-5927	276	31	380.4086	380.4086	NUM
cana-5927	276	32	382.8833	382.8833	NUM
cana-5927	276	33	589.7672	589.7672	NUM
cana-5927	276	34	857.6029	857.6029	NUM
cana-5927	276	35	1177.446	1177.446	NUM
cana-5927	276	36	table19.premiums	table19.premium	NOUN
cana-5927	276	37	using	use	VERB
cana-5927	276	38	poisson	poisson	NOUN
cana-5927	276	39	-	-	NOUN
cana-5927	276	40	akash	akash	NOUN
cana-5927	276	41	under	under	ADP
cana-5927	276	42	linex	linex	ADJ
cana-5927	276	43	loss	loss	NOUN
cana-5927	276	44	function	function	NOUN
cana-5927	276	45	and	and	CCONJ
cana-5927	276	46	inverse	inverse	NOUN
cana-5927	276	47	-	-	PUNCT
cana-5927	276	48	gamma	gamma	NOUN
cana-5927	276	49	lindley	lindley	NOUN
cana-5927	276	50	under	under	ADP
cana-5927	276	51	entropy	entropy	PROPN
cana-5927	276	52	loss	loss	NOUN
cana-5927	276	53	function	function	PROPN
cana-5927	276	54	withγ=14.0125,α=1.08,β=0.001766,a=-0.3,p=-1.1	withγ=14.0125,α=1.08,β=0.001766,a=-0.3,p=-1.1	PROPN
cana-5927	276	55	claimnumber	claimnumber	PROPN
cana-5927	276	56	communications	communication	NOUN
cana-5927	276	57	on	on	ADP
cana-5927	276	58	applied	apply	VERB
cana-5927	276	59	nonlinear	nonlinear	ADJ
cana-5927	276	60	analysis	analysis	NOUN
cana-5927	276	61	issn	issn	NOUN
cana-5927	276	62	:	:	PUNCT
cana-5927	276	63	1074	1074	NUM
cana-5927	276	64	-	-	PUNCT
cana-5927	276	65	133x	133x	NUM
cana-5927	276	66	vol	vol	VERB
cana-5927	276	67	32	32	NUM
cana-5927	276	68	no	no	NOUN
cana-5927	276	69	.	.	PUNCT
cana-5927	276	70	10s	10	NOUN
cana-5927	276	71	(	(	PUNCT
cana-5927	276	72	2025	2025	NUM
cana-5927	276	73	)	)	PUNCT
cana-5927	276	74	3077	3077	NUM
cana-5927	276	75	https://internationalpubls.com	https://internationalpubls.com	X
cana-5927	277	1	t	t	NOUN
cana-5927	277	2	0	0	NUM
cana-5927	277	3	1	1	NUM
cana-5927	277	4	2	2	NUM
cana-5927	277	5	3	3	NUM
cana-5927	277	6	4	4	NUM
cana-5927	277	7	1	1	NUM
cana-5927	277	8	556.9239	556.9239	NUM
cana-5927	277	9	562.8950	562.8950	NUM
cana-5927	277	10	870.2552	870.2552	NUM
cana-5927	277	11	1269.4263	1269.4263	NUM
cana-5927	277	12	1747.221	1747.221	NUM
cana-5927	277	13	2	2	NUM
cana-5927	277	14	520.6975	520.6975	NUM
cana-5927	277	15	525.7859	525.7859	NUM
cana-5927	277	16	812.2324	812.2324	NUM
cana-5927	277	17	1184.0306	1184.0306	PROPN
cana-5927	277	18	1628.9912	1628.9912	NUM
cana-5927	277	19	3	3	NUM
cana-5927	277	20	488.9473	488.9473	NUM
cana-5927	277	21	493.3343	493.3343	NUM
cana-5927	277	22	761.5761	761.5761	NUM
cana-5927	277	23	1109.5563	1109.5563	NUM
cana-5927	277	24	1525.1786	1525.1786	NUM
cana-5927	277	25	4	4	NUM
cana-5927	277	26	460.8853	460.8853	NUM
cana-5927	277	27	464.7070	464.7070	NUM
cana-5927	277	28	716.9560	716.9560	NUM
cana-5927	277	29	1044.0235	1044.0235	NUM
cana-5927	277	30	1435.7094	1435.7094	NUM
cana-5927	277	31	5	5	NUM
cana-5927	277	32	435.8989	435.8989	NUM
cana-5927	277	33	439.2596	439.2596	NUM
cana-5927	277	34	677.3449	677.3449	NUM
cana-5927	277	35	985.9903	985.9903	NUM
cana-5927	277	36	1352.9708	1352.9708	NUM
cana-5927	277	37	6	6	NUM
cana-5927	277	38	413.5051	413.5051	NUM
cana-5927	277	39	416.4857	416.4857	NUM
cana-5927	277	40	641.9372	641.9372	NUM
cana-5927	277	41	933.9975	933.9975	NUM
cana-5927	277	42	1282.9960	1282.9960	NUM
cana-5927	277	43	7	7	NUM
cana-5927	277	44	393.3177	393.3177	NUM
cana-5927	277	45	396.0918	396.0918	NUM
cana-5927	277	46	610.0919	610.0919	NUM
cana-5927	277	47	887.3526	887.3526	NUM
cana-5927	277	48	1218.5522	1218.5522	NUM
cana-5927	277	49	table20	table20	NOUN
cana-5927	277	50	.	.	PUNCT
cana-5927	278	1	premiums	premium	NOUN
cana-5927	278	2	using	use	VERB
cana-5927	278	3	poisson	poisson	NOUN
cana-5927	278	4	-	-	NOUN
cana-5927	278	5	akash	akash	NOUN
cana-5927	278	6	under	under	ADP
cana-5927	278	7	entropy	entropy	NOUN
cana-5927	278	8	loss	loss	NOUN
cana-5927	278	9	function	function	NOUN
cana-5927	278	10	and	and	CCONJ
cana-5927	278	11	inverse	inverse	NOUN
cana-5927	278	12	-	-	PUNCT
cana-5927	278	13	gamma	gamma	NOUN
cana-5927	278	14	lindley	lindley	NOUN
cana-5927	278	15	under	under	ADP
cana-5927	278	16	entropy	entropy	PROPN
cana-5927	278	17	loss	loss	NOUN
cana-5927	278	18	function	function	NOUN
cana-5927	278	19	with	with	ADP
cana-5927	278	20	γ=14.0125	γ=14.0125	NOUN
cana-5927	278	21	,	,	PUNCT
cana-5927	278	22	α=1.08	α=1.08	PROPN
cana-5927	278	23	,	,	PUNCT
cana-5927	278	24	β=0.001766	β=0.001766	X
cana-5927	278	25	,	,	PUNCT
cana-5927	278	26	s	s	PART
cana-5927	278	27	=	=	SYM
cana-5927	278	28	-1.1	-1.1	PROPN
cana-5927	278	29	,	,	PUNCT
cana-5927	278	30	p=	p=	ADJ
cana-5927	278	31	-1.1	-1.1	PROPN
cana-5927	278	32	t	t	PROPN
cana-5927	278	33	claimnumber	claimnumber	NOUN
cana-5927	278	34	0	0	NUM
cana-5927	278	35	1	1	NUM
cana-5927	278	36	2	2	NUM
cana-5927	278	37	3	3	NUM
cana-5927	278	38	4	4	NUM
cana-5927	278	39	1	1	NUM
cana-5927	278	40	574.6295	574.6295	NUM
cana-5927	278	41	569.9507	569.9507	NUM
cana-5927	278	42	874.8278	874.8278	NUM
cana-5927	278	43	1271.1963	1271.1963	NUM
cana-5927	278	44	1745.464	1745.464	NUM
cana-5927	278	45	2	2	NUM
cana-5927	278	46	537.5994	537.5994	NUM
cana-5927	278	47	532.7376	532.7376	NUM
cana-5927	278	48	817.0750	817.0750	NUM
cana-5927	278	49	1186.5394	1186.5394	NUM
cana-5927	278	50	1628.472	1628.472	NUM
cana-5927	278	51	3	3	NUM
cana-5927	278	52	505.1048	505.1048	NUM
cana-5927	278	53	500.1524	500.1524	NUM
cana-5927	278	54	766.5856	766.5856	NUM
cana-5927	278	55	1112.6062	1112.6062	NUM
cana-5927	278	56	1526.351	1526.351	NUM
cana-5927	278	57	4	4	NUM
cana-5927	278	58	476.3537	476.3537	NUM
cana-5927	278	59	471.3745	471.3745	NUM
cana-5927	278	60	722.0595	722.0595	NUM
cana-5927	278	61	1047.4702	1047.4702	NUM
cana-5927	278	62	1436.431	1436.431	NUM
cana-5927	278	63	5	5	NUM
cana-5927	278	64	450.7294	450.7294	NUM
cana-5927	278	65	445.7675	445.7675	NUM
cana-5927	278	66	682.4906	682.4906	NUM
cana-5927	278	67	989.6401	989.6401	NUM
cana-5927	278	68	1356.644	1356.644	NUM
cana-5927	278	69	6	6	NUM
cana-5927	278	70	427.7445	427.7445	NUM
cana-5927	278	71	422.8320	422.8320	NUM
cana-5927	278	72	647.0879	647.0879	NUM
cana-5927	278	73	937.9439	937.9439	NUM
cana-5927	278	74	1285.361	1285.361	NUM
cana-5927	278	75	7	7	NUM
cana-5927	278	76	407.0082	407.0082	NUM
cana-5927	278	77	402.1624	402.1624	NUM
cana-5927	278	78	615.2208	615.2208	NUM
cana-5927	278	79	891.4481	891.4481	NUM
cana-5927	278	80	1221.286	1221.286	NUM
cana-5927	278	81	table21	table21	NOUN
cana-5927	278	82	.	.	PUNCT
cana-5927	279	1	premiums	premium	NOUN
cana-5927	279	2	using	use	VERB
cana-5927	279	3	poisson	poisson	NOUN
cana-5927	279	4	-	-	NOUN
cana-5927	279	5	akash	akash	NOUN
cana-5927	279	6	under	under	ADP
cana-5927	279	7	entropy	entropy	NOUN
cana-5927	279	8	loss	loss	NOUN
cana-5927	279	9	function	function	NOUN
cana-5927	279	10	and	and	CCONJ
cana-5927	279	11	inverse	inverse	NOUN
cana-5927	279	12	-	-	PUNCT
cana-5927	279	13	gamma	gamma	NOUN
cana-5927	279	14	lindley	lindley	NOUN
cana-5927	279	15	under	under	ADP
cana-5927	279	16	entropy	entropy	PROPN
cana-5927	279	17	loss	loss	NOUN
cana-5927	279	18	function	function	NOUN
cana-5927	279	19	with	with	ADP
cana-5927	279	20	γ=14.0125	γ=14.0125	NOUN
cana-5927	279	21	,	,	PUNCT
cana-5927	279	22	α=1.08	α=1.08	PROPN
cana-5927	279	23	,	,	PUNCT
cana-5927	279	24	β=0.001766	β=0.001766	ADJ
cana-5927	279	25	,	,	PUNCT
cana-5927	279	26	s=	s=	NOUN
cana-5927	279	27	-0.2	-0.2	PROPN
cana-5927	279	28	,	,	PUNCT
cana-5927	279	29	p=	p=	ADJ
cana-5927	279	30	-1.1	-1.1	PROPN
cana-5927	279	31	t	t	PROPN
cana-5927	279	32	claimnumber	claimnumber	NOUN
cana-5927	279	33	0	0	NUM
cana-5927	279	34	1	1	NUM
cana-5927	279	35	2	2	NUM
cana-5927	279	36	3	3	NUM
cana-5927	279	37	4	4	NUM
cana-5927	279	38	1	1	NUM
cana-5927	279	39	358.4347	358.4347	NUM
cana-5927	279	40	450.7562	450.7562	NUM
cana-5927	279	41	748.3329	748.3329	NUM
cana-5927	279	42	1130.7149	1130.7149	NUM
cana-5927	279	43	1589.443	1589.443	NUM
cana-5927	279	44	2	2	NUM
cana-5927	279	45	335.4842	335.4842	NUM
cana-5927	279	46	421.4892	421.4892	NUM
cana-5927	279	47	699.1569	699.1569	NUM
cana-5927	279	48	1055.6795	1055.6795	NUM
cana-5927	279	49	1483.175	1483.175	NUM
cana-5927	279	50	3	3	NUM
cana-5927	279	51	315.3225	315.3225	NUM
cana-5927	279	52	395.8393	395.8393	NUM
cana-5927	279	53	656.1387	656.1387	NUM
cana-5927	279	54	990.1247	990.1247	NUM
cana-5927	279	55	1390.402	1390.402	NUM
cana-5927	279	56	4	4	NUM
cana-5927	279	57	297.4668	297.4668	NUM
cana-5927	279	58	373.1690	373.1690	NUM
cana-5927	279	59	618.1797	618.1797	NUM
cana-5927	279	60	932.3488	932.3488	NUM
cana-5927	279	61	1308.699	1308.699	NUM
cana-5927	279	62	5	5	NUM
cana-5927	279	63	281.5402	281.5402	NUM
cana-5927	279	64	352.9830	352.9830	NUM
cana-5927	279	65	584.4292	584.4292	NUM
cana-5927	279	66	881.0347	881.0347	NUM
cana-5927	279	67	1236.188	1236.188	NUM
cana-5927	279	68	6	6	NUM
cana-5927	279	69	267.2442	267.2442	NUM
cana-5927	279	70	334.8908	334.8908	NUM
cana-5927	279	71	554.2180	554.2180	NUM
cana-5927	279	72	835.1478	835.1478	NUM
cana-5927	279	73	1171.392	1171.392	NUM
cana-5927	279	74	7	7	NUM
cana-5927	279	75	254.3390	254.3390	NUM
cana-5927	279	76	318.5802	318.5802	NUM
cana-5927	279	77	527.0123	527.0123	NUM
cana-5927	279	78	793.8635	793.8635	NUM
cana-5927	279	79	1113.135	1113.135	NUM
cana-5927	279	80	table22	table22	NOUN
cana-5927	279	81	.	.	PUNCT
cana-5927	280	1	premiums	premium	NOUN
cana-5927	280	2	using	use	VERB
cana-5927	280	3	poisson	poisson	NOUN
cana-5927	280	4	-	-	NOUN
cana-5927	280	5	akash	akash	NOUN
cana-5927	280	6	under	under	ADP
cana-5927	280	7	entropy	entropy	NOUN
cana-5927	280	8	loss	loss	NOUN
cana-5927	280	9	function	function	NOUN
cana-5927	280	10	and	and	CCONJ
cana-5927	280	11	inverse	inverse	NOUN
cana-5927	280	12	-	-	PUNCT
cana-5927	280	13	gamma	gamma	NOUN
cana-5927	280	14	lindley	lindley	NOUN
cana-5927	280	15	under	under	ADP
cana-5927	280	16	entropy	entropy	PROPN
cana-5927	280	17	loss	loss	NOUN
cana-5927	280	18	function	function	NOUN
cana-5927	280	19	with	with	ADP
cana-5927	280	20	γ=14.0125	γ=14.0125	NOUN
cana-5927	280	21	,	,	PUNCT
cana-5927	280	22	α=1.08	α=1.08	PROPN
cana-5927	280	23	,	,	PUNCT
cana-5927	280	24	β=0.001766	β=0.001766	NUM
cana-5927	280	25	,	,	PUNCT
cana-5927	280	26	s=	s=	NOUN
cana-5927	280	27	0.2	0.2	NUM
cana-5927	280	28	,	,	PUNCT
cana-5927	280	29	p=	p=	ADJ
cana-5927	280	30	-1.1	-1.1	PROPN
cana-5927	280	31	t	t	PROPN
cana-5927	280	32	claimnumber	claimnumber	NOUN
cana-5927	280	33	0	0	NUM
cana-5927	280	34	1	1	NUM
cana-5927	280	35	2	2	NUM
cana-5927	280	36	3	3	NUM
cana-5927	280	37	4	4	NUM
cana-5927	280	38	1	1	NUM
cana-5927	280	39	256.3630	256.3630	NUM
cana-5927	280	40	395.4298	395.4298	NUM
cana-5927	280	41	690.3996	690.3996	NUM
cana-5927	280	42	1066.8330	1066.8330	NUM
cana-5927	280	43	1518.783	1518.783	NUM
cana-5927	280	44	communications	communication	NOUN
cana-5927	280	45	on	on	ADP
cana-5927	280	46	applied	apply	VERB
cana-5927	280	47	nonlinear	nonlinear	ADJ
cana-5927	280	48	analysis	analysis	NOUN
cana-5927	280	49	issn	issn	NOUN
cana-5927	280	50	:	:	PUNCT
cana-5927	280	51	1074	1074	NUM
cana-5927	280	52	-	-	PUNCT
cana-5927	280	53	133x	133x	NUM
cana-5927	280	54	vol	vol	VERB
cana-5927	280	55	32	32	NUM
cana-5927	280	56	no	no	NOUN
cana-5927	280	57	.	.	PUNCT
cana-5927	281	1	10s	10	NOUN
cana-5927	281	2	(	(	PUNCT
cana-5927	281	3	2025	2025	NUM
cana-5927	281	4	)	)	PUNCT
cana-5927	281	5	3078	3078	NUM
cana-5927	281	6	https://internationalpubls.com	https://internationalpubls.com	SYM
cana-5927	281	7	2	2	NUM
cana-5927	281	8	239.9969	239.9969	NUM
cana-5927	281	9	369.8230	369.8230	NUM
cana-5927	281	10	645.1319	645.1319	NUM
cana-5927	281	11	996.1624	996.1624	NUM
cana-5927	281	12	1417.373	1417.373	NUM
cana-5927	281	13	3	3	NUM
cana-5927	281	14	225.6120	225.6120	NUM
cana-5927	281	15	347.3711	347.3711	NUM
cana-5927	281	16	605.5196	605.5196	NUM
cana-5927	281	17	934.4077	934.4077	NUM
cana-5927	281	18	1328.831	1328.831	NUM
cana-5927	281	19	4	4	NUM
cana-5927	281	20	212.8668	212.8668	NUM
cana-5927	281	21	327.5199	327.5199	NUM
cana-5927	281	22	570.5557	570.5557	NUM
cana-5927	281	23	879.9699	879.9699	NUM
cana-5927	281	24	1250.845	1250.845	NUM
cana-5927	281	25	5	5	NUM
cana-5927	281	26	201.4942	201.4942	NUM
cana-5927	281	27	309.8383	309.8383	NUM
cana-5927	281	28	539.4600	539.4600	NUM
cana-5927	281	29	831.6114	831.6114	NUM
cana-5927	281	30	1181.624	1181.624	NUM
cana-5927	281	31	6	6	NUM
cana-5927	281	32	191.2827	191.2827	NUM
cana-5927	281	33	293.9862	293.9862	NUM
cana-5927	281	34	511.6187	511.6187	NUM
cana-5927	281	35	788.3598	788.3598	NUM
cana-5927	281	36	1119.761	1119.761	NUM
cana-5927	281	37	7	7	NUM
cana-5927	281	38	182.0620	182.0620	NUM
cana-5927	281	39	279.6916	279.6916	NUM
cana-5927	281	40	486.5421	486.5421	NUM
cana-5927	281	41	749.4401	749.4401	NUM
cana-5927	281	42	1064.134	1064.134	NUM
cana-5927	281	43	•	•	ADV
cana-5927	281	44	discussion.referring	discussion.referre	VERB
cana-5927	281	45	to	to	ADP
cana-5927	281	46	the	the	DET
cana-5927	281	47	tables	table	NOUN
cana-5927	281	48	,	,	PUNCT
cana-5927	281	49	the	the	DET
cana-5927	281	50	premiums	premium	NOUN
cana-5927	281	51	with	with	ADP
cana-5927	281	52	the	the	DET
cana-5927	281	53	entropy	entropy	NOUN
cana-5927	281	54	loss	loss	NOUN
cana-5927	281	55	function	function	NOUN
cana-5927	281	56	with	with	ADP
cana-5927	281	57	"	"	PUNCT
cana-5927	281	58	p=-1.1	p=-1.1	PROPN
cana-5927	281	59	"	"	PUNCT
cana-5927	281	60	and	and	CCONJ
cana-5927	281	61	those	those	PRON
cana-5927	281	62	with	with	ADP
cana-5927	281	63	the	the	DET
cana-5927	281	64	linex	linex	ADJ
cana-5927	281	65	loss	loss	NOUN
cana-5927	281	66	function	function	NOUN
cana-5927	281	67	in	in	ADP
cana-5927	281	68	the	the	DET
cana-5927	281	69	underestimation	underestimation	NOUN
cana-5927	281	70	are	be	AUX
cana-5927	281	71	nearly	nearly	ADV
cana-5927	281	72	identical	identical	ADJ
cana-5927	281	73	;	;	PUNCT
cana-5927	281	74	these	these	DET
cana-5927	281	75	premiums	premium	NOUN
cana-5927	281	76	are	be	AUX
cana-5927	281	77	highest	high	ADJ
cana-5927	281	78	for	for	ADP
cana-5927	281	79	poor	poor	ADJ
cana-5927	281	80	drivers	driver	NOUN
cana-5927	281	81	.	.	PUNCT
cana-5927	282	1	the	the	DET
cana-5927	282	2	results	result	NOUN
cana-5927	282	3	also	also	ADV
cana-5927	282	4	demonstrate	demonstrate	VERB
cana-5927	282	5	that	that	SCONJ
cana-5927	282	6	premiums	premium	NOUN
cana-5927	282	7	with	with	ADP
cana-5927	282	8	good	good	ADJ
cana-5927	282	9	and	and	CCONJ
cana-5927	282	10	bad	bad	ADJ
cana-5927	282	11	drivers	driver	NOUN
cana-5927	282	12	are	be	AUX
cana-5927	282	13	lower	low	ADJ
cana-5927	282	14	when	when	SCONJ
cana-5927	282	15	applying	apply	VERB
cana-5927	282	16	the	the	DET
cana-5927	282	17	entropy	entropy	NOUN
cana-5927	282	18	loss	loss	NOUN
cana-5927	282	19	function	function	NOUN
cana-5927	282	20	with	with	ADP
cana-5927	282	21	"	"	PUNCT
cana-5927	282	22	p=-0.2	p=-0.2	PROPN
cana-5927	282	23	"	"	PUNCT
cana-5927	282	24	and	and	CCONJ
cana-5927	282	25	"	"	PUNCT
cana-5927	282	26	p=0.2	p=0.2	NOUN
cana-5927	282	27	.	.	PUNCT
cana-5927	282	28	"	"	PUNCT
cana-5927	283	1	6	6	NUM
cana-5927	283	2	.	.	PUNCT
cana-5927	283	3	conclusion	conclusion	NOUN
cana-5927	283	4	this	this	DET
cana-5927	283	5	study	study	NOUN
cana-5927	283	6	presented	present	VERB
cana-5927	283	7	the	the	DET
cana-5927	283	8	bayesian	bayesian	NOUN
cana-5927	283	9	bonus	bonus	NOUN
cana-5927	283	10	-	-	PUNCT
cana-5927	283	11	malus	malus	NOUN
cana-5927	283	12	premiums	premium	NOUN
cana-5927	283	13	for	for	ADP
cana-5927	283	14	claim	claim	NOUN
cana-5927	283	15	frequency	frequency	NOUN
cana-5927	283	16	and	and	CCONJ
cana-5927	283	17	claim	claim	NOUN
cana-5927	283	18	severity	severity	NOUN
cana-5927	283	19	.	.	PUNCT
cana-5927	284	1	using	use	VERB
cana-5927	284	2	the	the	DET
cana-5927	284	3	bayesian	bayesian	NOUN
cana-5927	284	4	approach	approach	NOUN
cana-5927	284	5	,	,	PUNCT
cana-5927	284	6	we	we	PRON
cana-5927	284	7	employed	employ	VERB
cana-5927	284	8	the	the	DET
cana-5927	284	9	poisson	poisson	NOUN
cana-5927	284	10	-	-	PUNCT
cana-5927	284	11	akash	akash	NOUN
cana-5927	284	12	distribution	distribution	NOUN
cana-5927	284	13	for	for	ADP
cana-5927	284	14	claim	claim	NOUN
cana-5927	284	15	frequency	frequency	NOUN
cana-5927	284	16	and	and	CCONJ
cana-5927	284	17	the	the	DET
cana-5927	284	18	invers	inver	NOUN
cana-5927	284	19	-	-	PUNCT
cana-5927	284	20	gamma	gamma	NOUN
cana-5927	284	21	lindley	lindley	NOUN
cana-5927	284	22	distribution	distribution	NOUN
cana-5927	284	23	for	for	ADP
cana-5927	284	24	claim	claim	NOUN
cana-5927	284	25	severity	severity	NOUN
cana-5927	284	26	.	.	PUNCT
cana-5927	285	1	different	different	ADJ
cana-5927	285	2	loss	loss	NOUN
cana-5927	285	3	functions	function	NOUN
cana-5927	285	4	(	(	PUNCT
cana-5927	285	5	quadratic	quadratic	ADJ
cana-5927	285	6	,	,	PUNCT
cana-5927	285	7	linex	linex	ADV
cana-5927	285	8	,	,	PUNCT
cana-5927	285	9	and	and	CCONJ
cana-5927	285	10	entropy	entropy	PROPN
cana-5927	285	11	)	)	PUNCT
cana-5927	285	12	were	be	AUX
cana-5927	285	13	additionally	additionally	ADV
cana-5927	285	14	introduced	introduce	VERB
cana-5927	285	15	in	in	ADP
cana-5927	285	16	this	this	DET
cana-5927	285	17	work	work	NOUN
cana-5927	285	18	.	.	PUNCT
cana-5927	286	1	using	use	VERB
cana-5927	286	2	the	the	DET
cana-5927	286	3	r	r	NOUN
cana-5927	286	4	software	software	NOUN
cana-5927	286	5	and	and	CCONJ
cana-5927	286	6	an	an	DET
cana-5927	286	7	actual	actual	ADJ
cana-5927	286	8	car	car	NOUN
cana-5927	286	9	insurance	insurance	NOUN
cana-5927	286	10	dataset	dataset	NOUN
cana-5927	286	11	,	,	PUNCT
cana-5927	286	12	we	we	PRON
cana-5927	286	13	computed	compute	VERB
cana-5927	286	14	the	the	DET
cana-5927	286	15	premiums	premium	NOUN
cana-5927	286	16	for	for	ADP
cana-5927	286	17	the	the	DET
cana-5927	286	18	frequency	frequency	NOUN
cana-5927	286	19	only	only	ADV
cana-5927	286	20	and	and	CCONJ
cana-5927	286	21	for	for	ADP
cana-5927	286	22	both	both	CCONJ
cana-5927	286	23	the	the	DET
cana-5927	286	24	frequency	frequency	NOUN
cana-5927	286	25	and	and	CCONJ
cana-5927	286	26	the	the	DET
cana-5927	286	27	severity	severity	NOUN
cana-5927	286	28	of	of	ADP
cana-5927	286	29	the	the	DET
cana-5927	286	30	claim	claim	NOUN
cana-5927	286	31	.	.	PUNCT
cana-5927	287	1	we	we	PRON
cana-5927	287	2	established	establish	VERB
cana-5927	287	3	the	the	DET
cana-5927	287	4	premiums	premium	NOUN
cana-5927	287	5	using	use	VERB
cana-5927	287	6	the	the	DET
cana-5927	287	7	several	several	ADJ
cana-5927	287	8	loss	loss	NOUN
cana-5927	287	9	functions	function	NOUN
cana-5927	287	10	.	.	PUNCT
cana-5927	288	1	we	we	PRON
cana-5927	288	2	found	find	VERB
cana-5927	288	3	from	from	ADP
cana-5927	288	4	the	the	DET
cana-5927	288	5	numerical	numerical	ADJ
cana-5927	288	6	application	application	NOUN
cana-5927	288	7	that	that	SCONJ
cana-5927	288	8	premiums	premium	NOUN
cana-5927	288	9	that	that	PRON
cana-5927	288	10	use	use	VERB
cana-5927	288	11	distinct	distinct	ADJ
cana-5927	288	12	loss	loss	NOUN
cana-5927	288	13	functions	function	NOUN
cana-5927	288	14	for	for	ADP
cana-5927	288	15	the	the	DET
cana-5927	288	16	frequency	frequency	NOUN
cana-5927	288	17	and	and	CCONJ
cana-5927	288	18	severity	severity	NOUN
cana-5927	288	19	of	of	ADP
cana-5927	288	20	claims	claim	NOUN
cana-5927	288	21	provide	provide	VERB
cana-5927	288	22	greater	great	ADJ
cana-5927	288	23	outcomes	outcome	NOUN
cana-5927	288	24	than	than	ADP
cana-5927	288	25	those	those	PRON
cana-5927	288	26	that	that	PRON
cana-5927	288	27	apply	apply	VERB
cana-5927	288	28	the	the	DET
cana-5927	288	29	same	same	ADJ
cana-5927	288	30	loss	loss	NOUN
cana-5927	288	31	function	function	NOUN
cana-5927	288	32	.	.	PUNCT
cana-5927	289	1	this	this	DET
cana-5927	289	2	numerical	numerical	PROPN
cana-5927	289	3	research	research	NOUN
cana-5927	289	4	demonstrated	demonstrate	VERB
cana-5927	289	5	that	that	SCONJ
cana-5927	289	6	using	use	VERB
cana-5927	289	7	various	various	ADJ
cana-5927	289	8	loss	loss	NOUN
cana-5927	289	9	functions	function	NOUN
cana-5927	289	10	might	might	AUX
cana-5927	289	11	provide	provide	VERB
cana-5927	289	12	flexible	flexible	ADJ
cana-5927	289	13	outcomes	outcome	NOUN
cana-5927	289	14	that	that	PRON
cana-5927	289	15	could	could	AUX
cana-5927	289	16	be	be	AUX
cana-5927	289	17	very	very	ADV
cana-5927	289	18	beneficial	beneficial	ADJ
cana-5927	289	19	to	to	ADP
cana-5927	289	20	the	the	DET
cana-5927	289	21	insurer	insurer	NOUN
cana-5927	289	22	.	.	PUNCT
cana-5927	290	1	the	the	DET
cana-5927	290	2	insurer	insurer	NOUN
cana-5927	290	3	has	have	VERB
cana-5927	290	4	a	a	DET
cana-5927	290	5	wide	wide	ADJ
cana-5927	290	6	range	range	NOUN
cana-5927	290	7	of	of	ADP
cana-5927	290	8	choices	choice	NOUN
cana-5927	290	9	thanks	thank	NOUN
cana-5927	290	10	to	to	ADP
cana-5927	290	11	the	the	DET
cana-5927	290	12	wide	wide	ADJ
cana-5927	290	13	variety	variety	NOUN
cana-5927	290	14	of	of	ADP
cana-5927	290	15	these	these	DET
cana-5927	290	16	outcomes	outcome	NOUN
cana-5927	290	17	.	.	PUNCT
cana-5927	291	1	the	the	DET
cana-5927	291	2	insurance	insurance	NOUN
cana-5927	291	3	company	company	NOUN
cana-5927	291	4	selects	select	VERB
cana-5927	291	5	the	the	DET
cana-5927	291	6	loss	loss	NOUN
cana-5927	291	7	function	function	NOUN
cana-5927	291	8	based	base	VERB
cana-5927	291	9	on	on	ADP
cana-5927	291	10	its	its	PRON
cana-5927	291	11	goal	goal	NOUN
cana-5927	291	12	,	,	PUNCT
cana-5927	291	13	offering	offer	VERB
cana-5927	291	14	excellent	excellent	ADJ
cana-5927	291	15	drivers	driver	NOUN
cana-5927	291	16	the	the	DET
cana-5927	291	17	highest	high	ADJ
cana-5927	291	18	rewards	reward	NOUN
cana-5927	291	19	or	or	CCONJ
cana-5927	291	20	penalizing	penalize	VERB
cana-5927	291	21	bad	bad	ADJ
cana-5927	291	22	drivers	driver	NOUN
cana-5927	291	23	most	most	ADV
cana-5927	291	24	severely	severely	ADV
cana-5927	291	25	,	,	PUNCT
cana-5927	291	26	deciding	decide	VERB
cana-5927	291	27	how	how	SCONJ
cana-5927	291	28	to	to	PART
cana-5927	291	29	draw	draw	VERB
cana-5927	291	30	clients	client	NOUN
cana-5927	291	31	and	and	CCONJ
cana-5927	291	32	make	make	VERB
cana-5927	291	33	them	they	PRON
cana-5927	291	34	attractive	attractive	ADJ
cana-5927	291	35	offers	offer	NOUN
cana-5927	291	36	,	,	PUNCT
cana-5927	291	37	maintaining	maintain	VERB
cana-5927	291	38	the	the	DET
cana-5927	291	39	organization	organization	NOUN
cana-5927	291	40	's	's	PART
cana-5927	291	41	solvability	solvability	NOUN
cana-5927	291	42	,	,	PUNCT
cana-5927	291	43	and	and	CCONJ
cana-5927	291	44	maintaining	maintain	VERB
cana-5927	291	45	equilibrium	equilibrium	NOUN
cana-5927	291	46	.	.	PUNCT
cana-5927	292	1	references	reference	NOUN
cana-5927	292	2	[	[	X
cana-5927	292	3	1	1	NUM
cana-5927	292	4	]	]	PUNCT
cana-5927	292	5	h.	h.	NOUN
cana-5927	292	6	buhlmann	buhlmann	PROPN
cana-5927	292	7	.	.	PUNCT
cana-5927	293	1	experience	experience	NOUN
cana-5927	293	2	rating	rating	NOUN
cana-5927	293	3	and	and	CCONJ
cana-5927	293	4	credibility	credibility	NOUN
cana-5927	293	5	.	.	PUNCT
cana-5927	294	1	astin	astin	PROPN
cana-5927	294	2	bulletin	bulletin	PROPN
cana-5927	294	3	:	:	PUNCT
cana-5927	294	4	the	the	DET
cana-5927	294	5	journal	journal	NOUN
cana-5927	294	6	of	of	ADP
cana-5927	294	7	the	the	DET
cana-5927	294	8	iaa	iaa	NOUN
cana-5927	294	9	,	,	PUNCT
cana-5927	294	10	4(3):199–207	4(3):199–207	PROPN
cana-5927	294	11	,	,	PUNCT
cana-5927	294	12	1967	1967	NUM
cana-5927	294	13	.	.	PUNCT
cana-5927	295	1	[	[	X
cana-5927	295	2	2	2	NUM
cana-5927	295	3	]	]	PUNCT
cana-5927	295	4	c.	c.	PROPN
cana-5927	295	5	clemente	clemente	PROPN
cana-5927	295	6	,	,	PUNCT
cana-5927	295	7	g.	g.	PROPN
cana-5927	295	8	r.	r.	PROPN
cana-5927	295	9	guerreiro	guerreiro	PROPN
cana-5927	295	10	,	,	PUNCT
cana-5927	295	11	and	and	CCONJ
cana-5927	295	12	j.	j.	PROPN
cana-5927	295	13	m.	m.	PROPN
cana-5927	295	14	bravo	bravo	PROPN
cana-5927	295	15	.	.	PUNCT
cana-5927	296	1	modelling	model	VERB
cana-5927	296	2	motor	motor	NOUN
cana-5927	296	3	insurance	insurance	NOUN
cana-5927	296	4	claim	claim	NOUN
cana-5927	296	5	frequency	frequency	NOUN
cana-5927	296	6	and	and	CCONJ
cana-5927	296	7	severity	severity	NOUN
cana-5927	296	8	using	use	VERB
cana-5927	296	9	gradient	gradient	ADJ
cana-5927	296	10	boosting	boosting	NOUN
cana-5927	296	11	.	.	PUNCT
cana-5927	297	1	risks	risk	NOUN
cana-5927	297	2	,	,	PUNCT
cana-5927	297	3	11(9):163	11(9):163	NUM
cana-5927	297	4	,	,	PUNCT
cana-5927	297	5	2023	2023	NUM
cana-5927	297	6	.	.	PUNCT
cana-5927	298	1	[	[	X
cana-5927	298	2	3	3	X
cana-5927	298	3	]	]	X
cana-5927	298	4	p.	p.	PROPN
cana-5927	298	5	de	de	PROPN
cana-5927	298	6	jong	jong	PROPN
cana-5927	298	7	and	and	CCONJ
cana-5927	298	8	g.	g.	PROPN
cana-5927	298	9	z.	z.	PROPN
cana-5927	298	10	heller	heller	PROPN
cana-5927	298	11	.	.	PUNCT
cana-5927	299	1	generalized	generalize	VERB
cana-5927	299	2	linear	linear	ADJ
cana-5927	299	3	models	model	NOUN
cana-5927	299	4	for	for	ADP
cana-5927	299	5	insurance	insurance	NOUN
cana-5927	299	6	data	datum	NOUN
cana-5927	299	7	.	.	PUNCT
cana-5927	300	1	cambridge	cambridge	PROPN
cana-5927	300	2	books	book	NOUN
cana-5927	300	3	,	,	PUNCT
cana-5927	300	4	2008	2008	NUM
cana-5927	300	5	.	.	PUNCT
cana-5927	301	1	[	[	X
cana-5927	301	2	4	4	X
cana-5927	301	3	]	]	X
cana-5927	301	4	e.	e.	PROPN
cana-5927	301	5	gomez	gomez	PROPN
cana-5927	301	6	-	-	PUNCT
cana-5927	301	7	deniz	deniz	PROPN
cana-5927	301	8	.	.	PUNCT
cana-5927	302	1	bivariate	bivariate	ADJ
cana-5927	302	2	credibility	credibility	NOUN
cana-5927	302	3	bonus	bonus	NOUN
cana-5927	302	4	–	–	PUNCT
cana-5927	302	5	malus	malus	NOUN
cana-5927	302	6	premiums	premium	NOUN
cana-5927	302	7	distinguishing	distinguish	VERB
cana-5927	302	8	betweentwo	betweentwo	ADJ
cana-5927	302	9	types	type	NOUN
cana-5927	302	10	of	of	ADP
cana-5927	302	11	claims	claim	NOUN
cana-5927	302	12	.	.	PUNCT
cana-5927	303	1	insurance	insurance	NOUN
cana-5927	303	2	:	:	PUNCT
cana-5927	303	3	mathematics	mathematic	NOUN
cana-5927	303	4	and	and	CCONJ
cana-5927	303	5	economics	economic	NOUN
cana-5927	303	6	,	,	PUNCT
cana-5927	303	7	70:117–124	70:117–124	NUM
cana-5927	303	8	,	,	PUNCT
cana-5927	303	9	2016	2016	NUM
cana-5927	303	10	.	.	PUNCT
cana-5927	304	1	[	[	X
cana-5927	304	2	5	5	X
cana-5927	304	3	]	]	PUNCT
cana-5927	304	4	e.	e.	PROPN
cana-5927	304	5	gomez	gomez	PROPN
cana-5927	304	6	-	-	PUNCT
cana-5927	304	7	deniz	deniz	PROPN
cana-5927	304	8	,	,	PUNCT
cana-5927	304	9	a.	a.	NOUN
cana-5927	304	10	hern´andez	hern´andez	PROPN
cana-5927	304	11	-	-	PUNCT
cana-5927	304	12	bastida	bastida	NOUN
cana-5927	304	13	,	,	PUNCT
cana-5927	304	14	and	and	CCONJ
cana-5927	304	15	m.	m.	NOUN
cana-5927	304	16	p.	p.	PROPN
cana-5927	304	17	fern´andez	fern´andez	PROPN
cana-5927	304	18	-	-	PUNCT
cana-5927	304	19	s´anchez	s´anchez	NOUN
cana-5927	304	20	.	.	PUNCT
cana-5927	305	1	computing	compute	VERB
cana-5927	305	2	credibility	credibility	NOUN
cana-5927	305	3	bonus	bonus	NOUN
cana-5927	305	4	-	-	PUNCT
cana-5927	305	5	malus	malus	NOUN
cana-5927	305	6	premiums	premium	NOUN
cana-5927	305	7	using	use	VERB
cana-5927	305	8	the	the	DET
cana-5927	305	9	total	total	ADJ
cana-5927	305	10	claim	claim	NOUN
cana-5927	305	11	amount	amount	NOUN
cana-5927	305	12	distribution	distribution	NOUN
cana-5927	305	13	.	.	PUNCT
cana-5927	306	1	hacettepe	hacettepe	ADJ
cana-5927	306	2	journal	journal	PROPN
cana-5927	306	3	of	of	ADP
cana-5927	306	4	mathematics	mathematic	NOUN
cana-5927	306	5	and	and	CCONJ
cana-5927	306	6	statistics	statistic	NOUN
cana-5927	306	7	,	,	PUNCT
cana-5927	306	8	43(6):1047–1061	43(6):1047–1061	NUM
cana-5927	306	9	,	,	PUNCT
cana-5927	306	10	2014	2014	NUM
cana-5927	306	11	.	.	PUNCT
cana-5927	307	1	communications	communication	NOUN
cana-5927	307	2	on	on	ADP
cana-5927	307	3	applied	apply	VERB
cana-5927	307	4	nonlinear	nonlinear	ADJ
cana-5927	307	5	analysis	analysis	NOUN
cana-5927	307	6	issn	issn	NOUN
cana-5927	307	7	:	:	PUNCT
cana-5927	307	8	1074	1074	NUM
cana-5927	307	9	-	-	PUNCT
cana-5927	307	10	133x	133x	NUM
cana-5927	307	11	vol	vol	VERB
cana-5927	307	12	32	32	NUM
cana-5927	307	13	no	no	NOUN
cana-5927	307	14	.	.	PUNCT
cana-5927	308	1	10s	10	NOUN
cana-5927	308	2	(	(	PUNCT
cana-5927	308	3	2025	2025	NUM
cana-5927	308	4	)	)	PUNCT
cana-5927	308	5	3079	3079	NUM
cana-5927	308	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5927	309	1	[	[	X
cana-5927	309	2	6	6	NUM
cana-5927	309	3	]	]	PUNCT
cana-5927	309	4	t.	t.	PROPN
cana-5927	309	5	herzog	herzog	PROPN
cana-5927	309	6	.	.	PUNCT
cana-5927	309	7	introduction	introduction	NOUN
cana-5927	309	8	to	to	ADP
cana-5927	309	9	credibility	credibility	NOUN
cana-5927	309	10	theory	theory	NOUN
cana-5927	309	11	(	(	PUNCT
cana-5927	309	12	winsted	winsted	PROPN
cana-5927	309	13	,	,	PUNCT
cana-5927	309	14	connecticut	connecticut	PROPN
cana-5927	309	15	,	,	PUNCT
cana-5927	309	16	actex	actex	PROPN
cana-5927	309	17	publications	publications	PROPN
cana-5927	309	18	inc	inc	PROPN
cana-5927	309	19	,	,	PUNCT
cana-5927	309	20	1996	1996	NUM
cana-5927	309	21	.	.	PUNCT
cana-5927	310	1	[	[	X
cana-5927	310	2	7	7	NUM
cana-5927	310	3	]	]	PUNCT
cana-5927	310	4	a.	a.	NOUN
cana-5927	310	5	moumeesri	moumeesri	PROPN
cana-5927	310	6	and	and	CCONJ
cana-5927	310	7	t.	t.	PROPN
cana-5927	310	8	pongsart	pongsart	PROPN
cana-5927	310	9	.	.	PUNCT
cana-5927	311	1	bonus	bonus	NOUN
cana-5927	311	2	-	-	PUNCT
cana-5927	311	3	malus	malus	NOUN
cana-5927	311	4	premiums	premium	NOUN
cana-5927	311	5	based	base	VERB
cana-5927	311	6	on	on	ADP
cana-5927	311	7	claim	claim	NOUN
cana-5927	311	8	frequency	frequency	NOUN
cana-5927	311	9	and	and	CCONJ
cana-5927	311	10	the	the	DET
cana-5927	311	11	size	size	NOUN
cana-5927	311	12	of	of	ADP
cana-5927	311	13	claims	claim	NOUN
cana-5927	311	14	.	.	PUNCT
cana-5927	312	1	risks	risk	NOUN
cana-5927	312	2	,	,	PUNCT
cana-5927	312	3	10(9):181	10(9):181	NUM
cana-5927	312	4	,	,	PUNCT
cana-5927	312	5	2022	2022	NUM
cana-5927	312	6	.	.	PUNCT
cana-5927	313	1	[	[	X
cana-5927	313	2	8	8	NUM
cana-5927	313	3	]	]	X
cana-5927	313	4	m.	m.	NOUN
cana-5927	313	5	m.	m.	NOUN
cana-5927	313	6	nassar	nassar	PROPN
cana-5927	313	7	and	and	CCONJ
cana-5927	313	8	f.	f.	PROPN
cana-5927	313	9	h.	h.	PROPN
cana-5927	313	10	eissa	eissa	PROPN
cana-5927	313	11	.	.	PUNCT
cana-5927	314	1	bayesian	bayesian	NOUN
cana-5927	314	2	estimation	estimation	NOUN
cana-5927	314	3	for	for	ADP
cana-5927	314	4	the	the	DET
cana-5927	314	5	exponentiated	exponentiated	ADJ
cana-5927	314	6	weibull	weibull	PROPN
cana-5927	314	7	model	model	PROPN
cana-5927	314	8	.	.	PUNCT
cana-5927	315	1	communications	communication	NOUN
cana-5927	315	2	in	in	ADP
cana-5927	315	3	statistics	statistic	NOUN
cana-5927	315	4	-	-	PUNCT
cana-5927	315	5	theory	theory	NOUN
cana-5927	315	6	and	and	CCONJ
cana-5927	315	7	methods	method	NOUN
cana-5927	315	8	,	,	PUNCT
cana-5927	315	9	33(10):2343–2362	33(10):2343–2362	NUM
cana-5927	315	10	,	,	PUNCT
cana-5927	315	11	2004	2004	NUM
cana-5927	315	12	.	.	PUNCT
cana-5927	316	1	[	[	X
cana-5927	316	2	9	9	NUM
cana-5927	316	3	]	]	SYM
cana-5927	316	4	i.	i.	NOUN
cana-5927	316	5	ouchen	ouchen	ADV
cana-5927	316	6	,	,	PUNCT
cana-5927	316	7	a.	a.	NOUN
cana-5927	316	8	sadoun	sadoun	PROPN
cana-5927	316	9	,	,	PUNCT
cana-5927	316	10	f.	f.	PROPN
cana-5927	316	11	metiri	metiri	PROPN
cana-5927	316	12	,	,	PUNCT
cana-5927	316	13	and	and	CCONJ
cana-5927	316	14	m.	m.	PROPN
cana-5927	316	15	r.	r.	PROPN
cana-5927	316	16	remita	remita	PROPN
cana-5927	316	17	.	.	PUNCT
cana-5927	317	1	on	on	ADP
cana-5927	317	2	bayesian	bayesian	NOUN
cana-5927	317	3	bonusmalus	bonusmalus	NOUN
cana-5927	317	4	premium	premium	NOUN
cana-5927	317	5	under	under	ADP
cana-5927	317	6	linex	linex	ADJ
cana-5927	317	7	loss	loss	NOUN
cana-5927	317	8	function	function	NOUN
cana-5927	317	9	with	with	ADP
cana-5927	317	10	applications	application	NOUN
cana-5927	317	11	.	.	PUNCT
cana-5927	318	1	studies	study	NOUN
cana-5927	318	2	in	in	ADP
cana-5927	318	3	engineering	engineering	NOUN
cana-5927	318	4	and	and	CCONJ
cana-5927	318	5	exact	exact	ADJ
cana-5927	318	6	sciences	science	NOUN
cana-5927	318	7	,	,	PUNCT
cana-5927	318	8	5(2):e6226	5(2):e6226	NUM
cana-5927	318	9	,	,	PUNCT
cana-5927	318	10	2024	2024	NUM
cana-5927	318	11	.	.	PUNCT
cana-5927	319	1	[	[	X
cana-5927	319	2	10	10	NUM
cana-5927	319	3	]	]	X
cana-5927	319	4	j.	j.	PROPN
cana-5927	319	5	rojo	rojo	PROPN
cana-5927	319	6	.	.	PUNCT
cana-5927	320	1	on	on	ADP
cana-5927	320	2	the	the	DET
cana-5927	320	3	admissibility	admissibility	NOUN
cana-5927	320	4	of	of	ADP
cana-5927	320	5	c	c	NOUN
cana-5927	320	6	x	x	PUNCT
cana-5927	321	1	+	+	CCONJ
cana-5927	321	2	d	d	NOUN
cana-5927	321	3	with	with	ADP
cana-5927	321	4	respect	respect	NOUN
cana-5927	321	5	to	to	ADP
cana-5927	321	6	the	the	DET
cana-5927	321	7	linex	linex	ADJ
cana-5927	321	8	loss	loss	NOUN
cana-5927	321	9	function	function	NOUN
cana-5927	321	10	.	.	PUNCT
cana-5927	322	1	communications	communication	NOUN
cana-5927	322	2	in	in	ADP
cana-5927	322	3	statistics	statistic	NOUN
cana-5927	322	4	-	-	PUNCT
cana-5927	322	5	theory	theory	NOUN
cana-5927	322	6	and	and	CCONJ
cana-5927	322	7	methods	method	NOUN
cana-5927	322	8	,	,	PUNCT
cana-5927	322	9	(	(	PUNCT
cana-5927	322	10	16):3745–3748	16):3745–3748	NOUN
cana-5927	322	11	,	,	PUNCT
cana-5927	322	12	1989	1989	NUM
cana-5927	322	13	.	.	PUNCT
cana-5927	323	1	[	[	X
cana-5927	323	2	11	11	NUM
cana-5927	323	3	]	]	X
cana-5927	323	4	r.	r.	PROPN
cana-5927	323	5	shanker	shanker	PROPN
cana-5927	323	6	.	.	PUNCT
cana-5927	324	1	on	on	ADP
cana-5927	324	2	poisson	poisson	NOUN
cana-5927	324	3	-	-	PUNCT
cana-5927	324	4	akash	akash	NOUN
cana-5927	324	5	distribution	distribution	NOUN
cana-5927	324	6	and	and	CCONJ
cana-5927	324	7	its	its	PRON
cana-5927	324	8	applications	application	NOUN
cana-5927	324	9	.	.	PUNCT
cana-5927	325	1	biometrics&biostatistics	biometrics&biostatistic	NOUN
cana-5927	325	2	international	international	PROPN
cana-5927	325	3	journal	journal	PROPN
cana-5927	325	4	,	,	PUNCT
cana-5927	325	5	3(6	3(6	NUM
cana-5927	325	6	)	)	PUNCT
cana-5927	325	7	,	,	PUNCT
cana-5927	325	8	2016	2016	NUM
cana-5927	325	9	.	.	PUNCT
cana-5927	326	1	[	[	X
cana-5927	326	2	12	12	NUM
cana-5927	326	3	]	]	PUNCT
cana-5927	326	4	h.	h.	PROPN
cana-5927	326	5	varian	varian	PROPN
cana-5927	326	6	.	.	PUNCT
cana-5927	327	1	a	a	DET
cana-5927	327	2	bayesian	bayesian	NOUN
cana-5927	327	3	approach	approach	NOUN
cana-5927	327	4	to	to	ADP
cana-5927	327	5	real	real	ADJ
cana-5927	327	6	estate	estate	NOUN
cana-5927	327	7	assessment	assessment	NOUN
cana-5927	327	8	.	.	PUNCT
cana-5927	328	1	north	north	NOUN
cana-5927	328	2	-	-	PUNCT
cana-5927	328	3	holland	holland	PROPN
cana-5927	328	4	pub	pub	NOUN
cana-5927	328	5	.	.	PUNCT
cana-5927	329	1	co.	co.	PROPN
cana-5927	329	2	,	,	PUNCT
cana-5927	329	3	pages	page	NOUN
cana-5927	329	4	195–208	195–208	NUM
cana-5927	329	5	,	,	PUNCT
cana-5927	329	6	1975	1975	NUM
cana-5927	329	7	.	.	PUNCT
cana-5927	330	1	[	[	X
cana-5927	330	2	13	13	NUM
cana-5927	330	3	]	]	PUNCT
cana-5927	330	4	a.	a.	NOUN
cana-5927	330	5	zellner	zellner	NOUN
cana-5927	330	6	.	.	PUNCT
cana-5927	331	1	bayesian	bayesian	NOUN
cana-5927	331	2	estimation	estimation	NOUN
cana-5927	331	3	and	and	CCONJ
cana-5927	331	4	prediction	prediction	NOUN
cana-5927	331	5	using	use	VERB
cana-5927	331	6	asymmetric	asymmetric	ADJ
cana-5927	331	7	loss	loss	NOUN
cana-5927	331	8	functions	function	NOUN
cana-5927	331	9	.	.	PUNCT
cana-5927	332	1	journal	journal	NOUN
cana-5927	332	2	of	of	ADP
cana-5927	332	3	the	the	DET
cana-5927	332	4	american	american	PROPN
cana-5927	332	5	statistical	statistical	PROPN
cana-5927	332	6	association	association	NOUN
cana-5927	332	7	,	,	PUNCT
cana-5927	332	8	81(394):446–451	81(394):446–451	PROPN
cana-5927	332	9	,	,	PUNCT
cana-5927	332	10	1986	1986	NUM
cana-5927	332	11	.	.	PUNCT