id	sid	tid	token	lemma	pos
ajpdis-2494	1	1	729	729	NUM
ajpdis-2494	1	2	american	american	ADJ
ajpdis-2494	1	3	journal	journal	PROPN
ajpdis-2494	1	4	of	of	ADP
ajpdis-2494	1	5	public	public	ADJ
ajpdis-2494	1	6	diplomacy	diplomacy	NOUN
ajpdis-2494	1	7	and	and	CCONJ
ajpdis-2494	1	8	international	international	ADJ
ajpdis-2494	1	9	studies	study	NOUN
ajpdis-2494	1	10	www	www	PROPN
ajpdis-2494	1	11	.	.	PROPN
ajpdis-2494	2	1	grnjournal.us	grnjournal.us	PROPN
ajpdis-2494	2	2	american	american	PROPN
ajpdis-2494	2	3	journal	journal	PROPN
ajpdis-2494	2	4	of	of	ADP
ajpdis-2494	2	5	public	public	ADJ
ajpdis-2494	2	6	diplomacy	diplomacy	NOUN
ajpdis-2494	2	7	and	and	CCONJ
ajpdis-2494	2	8	international	international	ADJ
ajpdis-2494	2	9	studies	study	NOUN
ajpdis-2494	2	10	volume	volume	NOUN
ajpdis-2494	2	11	01	01	NUM
ajpdis-2494	2	12	,	,	PUNCT
ajpdis-2494	2	13	issue	issue	NOUN
ajpdis-2494	2	14	10	10	NUM
ajpdis-2494	2	15	,	,	PUNCT
ajpdis-2494	2	16	2023	2023	NUM
ajpdis-2494	2	17	issn	issn	X
ajpdis-2494	2	18	(	(	PUNCT
ajpdis-2494	2	19	e	e	NOUN
ajpdis-2494	2	20	):	):	PUNCT
ajpdis-2494	2	21	2993	2993	NUM
ajpdis-2494	2	22	-	-	SYM
ajpdis-2494	2	23	2157	2157	NUM
ajpdis-2494	2	24	basics	basic	NOUN
ajpdis-2494	2	25	of	of	ADP
ajpdis-2494	2	26	life	life	NOUN
ajpdis-2494	2	27	insurance	insurance	NOUN
ajpdis-2494	2	28	development	development	NOUN
ajpdis-2494	2	29	.	.	PUNCT
ajpdis-2494	3	1	construction	construction	NOUN
ajpdis-2494	3	2	of	of	ADP
ajpdis-2494	3	3	life	life	NOUN
ajpdis-2494	3	4	continuity	continuity	NOUN
ajpdis-2494	3	5	functions	function	NOUN
ajpdis-2494	3	6	khamroeva	khamroeva	PROPN
ajpdis-2494	3	7	dilsuz	dilsuz	PROPN
ajpdis-2494	3	8	yakhoevna	yakhoevna	PROPN
ajpdis-2494	3	9	phd	phd	NOUN
ajpdis-2494	3	10	student	student	NOUN
ajpdis-2494	3	11	of	of	ADP
ajpdis-2494	3	12	the	the	DET
ajpdis-2494	3	13	faculty	faculty	NOUN
ajpdis-2494	3	14	of	of	ADP
ajpdis-2494	3	15	economics	economic	NOUN
ajpdis-2494	3	16	of	of	ADP
ajpdis-2494	3	17	the	the	DET
ajpdis-2494	3	18	national	national	PROPN
ajpdis-2494	3	19	university	university	PROPN
ajpdis-2494	3	20	of	of	ADP
ajpdis-2494	3	21	uzbekistan	uzbekistan	PROPN
ajpdis-2494	3	22	,	,	PUNCT
ajpdis-2494	3	23	lecturer	lecturer	NOUN
ajpdis-2494	3	24	of	of	ADP
ajpdis-2494	3	25	turon	turon	PROPN
ajpdis-2494	3	26	zarmed	zarmed	PROPN
ajpdis-2494	3	27	university	university	PROPN
ajpdis-2494	3	28	.	.	PUNCT
ajpdis-2494	4	1	email	email	NOUN
ajpdis-2494	4	2	:	:	PUNCT
ajpdis-2494	5	1	mohlaroyim261218@gmail.com	mohlaroyim261218@gmail.com	X
ajpdis-2494	5	2	annotation	annotation	NOUN
ajpdis-2494	5	3	:	:	PUNCT
ajpdis-2494	5	4	in	in	ADP
ajpdis-2494	5	5	this	this	DET
ajpdis-2494	5	6	study	study	NOUN
ajpdis-2494	5	7	,	,	PUNCT
ajpdis-2494	5	8	protection	protection	NOUN
ajpdis-2494	5	9	against	against	ADP
ajpdis-2494	5	10	unpredictable	unpredictable	ADJ
ajpdis-2494	5	11	accidents	accident	NOUN
ajpdis-2494	5	12	that	that	PRON
ajpdis-2494	5	13	occur	occur	VERB
ajpdis-2494	5	14	on	on	ADP
ajpdis-2494	5	15	the	the	DET
ajpdis-2494	5	16	basis	basis	NOUN
ajpdis-2494	5	17	of	of	ADP
ajpdis-2494	5	18	insurance	insurance	NOUN
ajpdis-2494	5	19	activity	activity	NOUN
ajpdis-2494	5	20	planning	planning	NOUN
ajpdis-2494	5	21	,	,	PUNCT
ajpdis-2494	5	22	reduction	reduction	NOUN
ajpdis-2494	5	23	of	of	ADP
ajpdis-2494	5	24	losses	loss	NOUN
ajpdis-2494	5	25	from	from	ADP
ajpdis-2494	5	26	these	these	DET
ajpdis-2494	5	27	events	event	NOUN
ajpdis-2494	5	28	,	,	PUNCT
ajpdis-2494	5	29	the	the	DET
ajpdis-2494	5	30	role	role	NOUN
ajpdis-2494	5	31	of	of	ADP
ajpdis-2494	5	32	life	life	NOUN
ajpdis-2494	5	33	insurance	insurance	NOUN
ajpdis-2494	5	34	in	in	ADP
ajpdis-2494	5	35	the	the	DET
ajpdis-2494	5	36	insurance	insurance	NOUN
ajpdis-2494	5	37	market	market	NOUN
ajpdis-2494	5	38	,	,	PUNCT
ajpdis-2494	5	39	table	table	NOUN
ajpdis-2494	5	40	of	of	ADP
ajpdis-2494	5	41	life	life	NOUN
ajpdis-2494	5	42	expectancy	expectancy	NOUN
ajpdis-2494	5	43	and	and	CCONJ
ajpdis-2494	5	44	the	the	DET
ajpdis-2494	5	45	necessity	necessity	NOUN
ajpdis-2494	5	46	of	of	ADP
ajpdis-2494	5	47	constructing	construct	VERB
ajpdis-2494	5	48	life	life	NOUN
ajpdis-2494	5	49	expectancy	expectancy	NOUN
ajpdis-2494	5	50	functions	function	NOUN
ajpdis-2494	5	51	has	have	AUX
ajpdis-2494	5	52	been	be	AUX
ajpdis-2494	5	53	studied	study	VERB
ajpdis-2494	5	54	.	.	PUNCT
ajpdis-2494	6	1	keywords	keyword	NOUN
ajpdis-2494	6	2	:	:	PUNCT
ajpdis-2494	6	3	life	life	NOUN
ajpdis-2494	6	4	insurance	insurance	NOUN
ajpdis-2494	6	5	,	,	PUNCT
ajpdis-2494	6	6	long	long	ADJ
ajpdis-2494	6	7	term	term	NOUN
ajpdis-2494	6	8	and	and	CCONJ
ajpdis-2494	6	9	short	short	ADJ
ajpdis-2494	6	10	term	term	NOUN
ajpdis-2494	6	11	life	life	NOUN
ajpdis-2494	6	12	insurance	insurance	NOUN
ajpdis-2494	6	13	,	,	PUNCT
ajpdis-2494	6	14	rent	rent	NOUN
ajpdis-2494	6	15	,	,	PUNCT
ajpdis-2494	6	16	gdp	gdp	PROPN
ajpdis-2494	6	17	,	,	PUNCT
ajpdis-2494	6	18	gnp	gnp	PROPN
ajpdis-2494	6	19	,	,	PUNCT
ajpdis-2494	6	20	actuarial	actuarial	ADJ
ajpdis-2494	6	21	mathematics	mathematic	NOUN
ajpdis-2494	6	22	,	,	PUNCT
ajpdis-2494	6	23	life	life	NOUN
ajpdis-2494	6	24	expectancy	expectancy	NOUN
ajpdis-2494	6	25	curves	curve	NOUN
ajpdis-2494	6	26	.	.	PUNCT
ajpdis-2494	7	1	introduction	introduction	NOUN
ajpdis-2494	7	2	.	.	PUNCT
ajpdis-2494	8	1	today	today	NOUN
ajpdis-2494	8	2	,	,	PUNCT
ajpdis-2494	8	3	in	in	ADP
ajpdis-2494	8	4	our	our	PRON
ajpdis-2494	8	5	country	country	NOUN
ajpdis-2494	8	6	,	,	PUNCT
ajpdis-2494	8	7	it	it	PRON
ajpdis-2494	8	8	is	be	AUX
ajpdis-2494	8	9	necessary	necessary	ADJ
ajpdis-2494	8	10	to	to	PART
ajpdis-2494	8	11	further	far	ADV
ajpdis-2494	8	12	develop	develop	VERB
ajpdis-2494	8	13	the	the	DET
ajpdis-2494	8	14	financial	financial	ADJ
ajpdis-2494	8	15	market	market	NOUN
ajpdis-2494	8	16	,	,	PUNCT
ajpdis-2494	8	17	expand	expand	VERB
ajpdis-2494	8	18	the	the	DET
ajpdis-2494	8	19	scope	scope	NOUN
ajpdis-2494	8	20	of	of	ADP
ajpdis-2494	8	21	coverage	coverage	NOUN
ajpdis-2494	8	22	of	of	ADP
ajpdis-2494	8	23	the	the	DET
ajpdis-2494	8	24	population	population	NOUN
ajpdis-2494	8	25	with	with	ADP
ajpdis-2494	8	26	quality	quality	NOUN
ajpdis-2494	8	27	financial	financial	ADJ
ajpdis-2494	8	28	services	service	NOUN
ajpdis-2494	8	29	,	,	PUNCT
ajpdis-2494	8	30	support	support	VERB
ajpdis-2494	8	31	the	the	DET
ajpdis-2494	8	32	activities	activity	NOUN
ajpdis-2494	8	33	of	of	ADP
ajpdis-2494	8	34	insurance	insurance	NOUN
ajpdis-2494	8	35	organizations	organization	NOUN
ajpdis-2494	8	36	,	,	PUNCT
ajpdis-2494	8	37	create	create	VERB
ajpdis-2494	8	38	favorable	favorable	ADJ
ajpdis-2494	8	39	conditions	condition	NOUN
ajpdis-2494	8	40	for	for	ADP
ajpdis-2494	8	41	protecting	protect	VERB
ajpdis-2494	8	42	the	the	DET
ajpdis-2494	8	43	rights	right	NOUN
ajpdis-2494	8	44	and	and	CCONJ
ajpdis-2494	8	45	legal	legal	ADJ
ajpdis-2494	8	46	interests	interest	NOUN
ajpdis-2494	8	47	of	of	ADP
ajpdis-2494	8	48	consumers	consumer	NOUN
ajpdis-2494	8	49	in	in	ADP
ajpdis-2494	8	50	this	this	DET
ajpdis-2494	8	51	area	area	NOUN
ajpdis-2494	8	52	,	,	PUNCT
ajpdis-2494	8	53	as	as	ADV
ajpdis-2494	8	54	well	well	ADV
ajpdis-2494	8	55	as	as	ADP
ajpdis-2494	8	56	,	,	PUNCT
ajpdis-2494	8	57	measures	measure	NOUN
ajpdis-2494	8	58	to	to	PART
ajpdis-2494	8	59	expand	expand	VERB
ajpdis-2494	8	60	insurance	insurance	NOUN
ajpdis-2494	8	61	types	type	NOUN
ajpdis-2494	8	62	and	and	CCONJ
ajpdis-2494	8	63	increase	increase	VERB
ajpdis-2494	8	64	consumer	consumer	NOUN
ajpdis-2494	8	65	confidence	confidence	NOUN
ajpdis-2494	8	66	in	in	ADP
ajpdis-2494	8	67	insurance	insurance	NOUN
ajpdis-2494	8	68	,	,	PUNCT
ajpdis-2494	8	69	thereby	thereby	ADV
ajpdis-2494	8	70	increasing	increase	VERB
ajpdis-2494	8	71	insurance	insurance	NOUN
ajpdis-2494	8	72	income	income	NOUN
ajpdis-2494	8	73	,	,	PUNCT
ajpdis-2494	8	74	are	be	AUX
ajpdis-2494	8	75	being	be	AUX
ajpdis-2494	8	76	implemented	implement	VERB
ajpdis-2494	8	77	consistently	consistently	ADV
ajpdis-2494	8	78	.	.	PUNCT
ajpdis-2494	9	1	as	as	SCONJ
ajpdis-2494	9	2	you	you	PRON
ajpdis-2494	9	3	know	know	VERB
ajpdis-2494	9	4	,	,	PUNCT
ajpdis-2494	9	5	insurance	insurance	NOUN
ajpdis-2494	9	6	of	of	ADP
ajpdis-2494	9	7	investments	investment	NOUN
ajpdis-2494	9	8	,	,	PUNCT
ajpdis-2494	9	9	cash	cash	NOUN
ajpdis-2494	9	10	,	,	PUNCT
ajpdis-2494	9	11	property	property	NOUN
ajpdis-2494	9	12	,	,	PUNCT
ajpdis-2494	9	13	life	life	NOUN
ajpdis-2494	9	14	etc	etc	X
ajpdis-2494	9	15	.	.	X
ajpdis-2494	9	16	is	be	AUX
ajpdis-2494	9	17	a	a	DET
ajpdis-2494	9	18	common	common	ADJ
ajpdis-2494	9	19	practice	practice	NOUN
ajpdis-2494	9	20	all	all	ADV
ajpdis-2494	9	21	over	over	ADP
ajpdis-2494	9	22	the	the	DET
ajpdis-2494	9	23	world	world	NOUN
ajpdis-2494	9	24	.	.	PUNCT
ajpdis-2494	10	1	the	the	DET
ajpdis-2494	10	2	global	global	ADJ
ajpdis-2494	10	3	cataclysms	cataclysm	NOUN
ajpdis-2494	10	4	and	and	CCONJ
ajpdis-2494	10	5	crises	crisis	NOUN
ajpdis-2494	10	6	of	of	ADP
ajpdis-2494	10	7	the	the	DET
ajpdis-2494	10	8	last	last	ADJ
ajpdis-2494	10	9	10	10	NUM
ajpdis-2494	10	10	-	-	SYM
ajpdis-2494	10	11	15	15	NUM
ajpdis-2494	10	12	years	year	NOUN
ajpdis-2494	10	13	have	have	AUX
ajpdis-2494	10	14	shown	show	VERB
ajpdis-2494	10	15	how	how	SCONJ
ajpdis-2494	10	16	dangerous	dangerous	ADJ
ajpdis-2494	10	17	this	this	DET
ajpdis-2494	10	18	business	business	NOUN
ajpdis-2494	10	19	is	be	AUX
ajpdis-2494	10	20	and	and	CCONJ
ajpdis-2494	10	21	how	how	SCONJ
ajpdis-2494	10	22	important	important	ADJ
ajpdis-2494	10	23	this	this	DET
ajpdis-2494	10	24	sector	sector	NOUN
ajpdis-2494	10	25	is	be	AUX
ajpdis-2494	10	26	in	in	ADP
ajpdis-2494	10	27	the	the	DET
ajpdis-2494	10	28	social	social	ADJ
ajpdis-2494	10	29	sphere	sphere	NOUN
ajpdis-2494	10	30	(	(	PUNCT
ajpdis-2494	10	31	social	social	ADJ
ajpdis-2494	10	32	security	security	NOUN
ajpdis-2494	10	33	,	,	PUNCT
ajpdis-2494	10	34	security	security	NOUN
ajpdis-2494	10	35	,	,	PUNCT
ajpdis-2494	10	36	etc	etc	X
ajpdis-2494	10	37	.	.	X
ajpdis-2494	10	38	)	)	PUNCT
ajpdis-2494	10	39	.	.	PUNCT
ajpdis-2494	11	1	actuarial	actuarial	ADJ
ajpdis-2494	11	2	science	science	NOUN
ajpdis-2494	11	3	studies	study	NOUN
ajpdis-2494	11	4	insurance	insurance	NOUN
ajpdis-2494	11	5	and	and	CCONJ
ajpdis-2494	11	6	its	its	PRON
ajpdis-2494	11	7	mathematical	mathematical	ADJ
ajpdis-2494	11	8	and	and	CCONJ
ajpdis-2494	11	9	theoretical	theoretical	ADJ
ajpdis-2494	11	10	foundations	foundation	NOUN
ajpdis-2494	11	11	are	be	AUX
ajpdis-2494	11	12	classified	classify	VERB
ajpdis-2494	11	13	as	as	ADP
ajpdis-2494	11	14	actuarial	actuarial	ADJ
ajpdis-2494	11	15	mathematics	mathematic	NOUN
ajpdis-2494	11	16	.	.	PUNCT
ajpdis-2494	12	1	one	one	NUM
ajpdis-2494	12	2	of	of	ADP
ajpdis-2494	12	3	the	the	DET
ajpdis-2494	12	4	main	main	ADJ
ajpdis-2494	12	5	tasks	task	NOUN
ajpdis-2494	12	6	of	of	ADP
ajpdis-2494	12	7	actuarial	actuarial	ADJ
ajpdis-2494	12	8	mathematics	mathematic	NOUN
ajpdis-2494	12	9	is	be	AUX
ajpdis-2494	12	10	to	to	PART
ajpdis-2494	12	11	establish	establish	VERB
ajpdis-2494	12	12	the	the	DET
ajpdis-2494	12	13	optimal	optimal	ADJ
ajpdis-2494	12	14	ratio	ratio	NOUN
ajpdis-2494	12	15	between	between	ADP
ajpdis-2494	12	16	the	the	DET
ajpdis-2494	12	17	insurance	insurance	NOUN
ajpdis-2494	12	18	premium	premium	NOUN
ajpdis-2494	12	19	(	(	PUNCT
ajpdis-2494	12	20	the	the	DET
ajpdis-2494	12	21	money	money	NOUN
ajpdis-2494	12	22	the	the	DET
ajpdis-2494	12	23	policyholder	policyholder	NOUN
ajpdis-2494	12	24	pays	pay	VERB
ajpdis-2494	12	25	to	to	ADP
ajpdis-2494	12	26	the	the	DET
ajpdis-2494	12	27	insurance	insurance	NOUN
ajpdis-2494	12	28	company	company	NOUN
ajpdis-2494	12	29	)	)	PUNCT
ajpdis-2494	12	30	and	and	CCONJ
ajpdis-2494	12	31	the	the	DET
ajpdis-2494	12	32	payment	payment	NOUN
ajpdis-2494	12	33	(	(	PUNCT
ajpdis-2494	12	34	the	the	DET
ajpdis-2494	12	35	money	money	NOUN
ajpdis-2494	12	36	the	the	DET
ajpdis-2494	12	37	company	company	NOUN
ajpdis-2494	12	38	pays	pay	VERB
ajpdis-2494	12	39	when	when	SCONJ
ajpdis-2494	12	40	a	a	DET
ajpdis-2494	12	41	certain	certain	ADJ
ajpdis-2494	12	42	insured	insured	ADJ
ajpdis-2494	12	43	event	event	NOUN
ajpdis-2494	12	44	occurs	occur	VERB
ajpdis-2494	12	45	)	)	PUNCT
ajpdis-2494	12	46	.	.	PUNCT
ajpdis-2494	13	1	of	of	ADP
ajpdis-2494	13	2	particular	particular	ADJ
ajpdis-2494	13	3	interest	interest	NOUN
ajpdis-2494	13	4	is	be	AUX
ajpdis-2494	13	5	the	the	DET
ajpdis-2494	13	6	part	part	NOUN
ajpdis-2494	13	7	of	of	ADP
ajpdis-2494	13	8	insurance	insurance	NOUN
ajpdis-2494	13	9	called	call	VERB
ajpdis-2494	13	10	"	"	PUNCT
ajpdis-2494	13	11	personal	personal	ADJ
ajpdis-2494	13	12	insurance	insurance	NOUN
ajpdis-2494	13	13	"	"	PUNCT
ajpdis-2494	13	14	.	.	PUNCT
ajpdis-2494	14	1	this	this	DET
ajpdis-2494	14	2	type	type	NOUN
ajpdis-2494	14	3	of	of	ADP
ajpdis-2494	14	4	insurance	insurance	NOUN
ajpdis-2494	14	5	includes	include	VERB
ajpdis-2494	14	6	health	health	NOUN
ajpdis-2494	14	7	and	and	CCONJ
ajpdis-2494	14	8	life	life	NOUN
ajpdis-2494	14	9	insurance	insurance	NOUN
ajpdis-2494	14	10	.	.	PUNCT
ajpdis-2494	15	1	in	in	ADP
ajpdis-2494	15	2	calculations	calculation	NOUN
ajpdis-2494	15	3	related	relate	VERB
ajpdis-2494	15	4	to	to	ADP
ajpdis-2494	15	5	life	life	NOUN
ajpdis-2494	15	6	insurance	insurance	NOUN
ajpdis-2494	15	7	,	,	PUNCT
ajpdis-2494	15	8	as	as	ADV
ajpdis-2494	15	9	well	well	ADV
ajpdis-2494	15	10	as	as	ADP
ajpdis-2494	15	11	in	in	ADP
ajpdis-2494	15	12	the	the	DET
ajpdis-2494	15	13	formation	formation	NOUN
ajpdis-2494	15	14	and	and	CCONJ
ajpdis-2494	15	15	modeling	modeling	NOUN
ajpdis-2494	15	16	of	of	ADP
ajpdis-2494	15	17	insurance	insurance	NOUN
ajpdis-2494	15	18	and	and	CCONJ
ajpdis-2494	15	19	pension	pension	NOUN
ajpdis-2494	15	20	schemes	scheme	NOUN
ajpdis-2494	15	21	,	,	PUNCT
ajpdis-2494	15	22	actuaries	actuary	NOUN
ajpdis-2494	15	23	widely	widely	ADV
ajpdis-2494	15	24	use	use	VERB
ajpdis-2494	15	25	tables	table	NOUN
ajpdis-2494	15	26	called	call	VERB
ajpdis-2494	15	27	life	life	NOUN
ajpdis-2494	15	28	tables	table	NOUN
ajpdis-2494	15	29	(	(	PUNCT
ajpdis-2494	15	30	tle	tle	ADJ
ajpdis-2494	15	31	-	-	PUNCT
ajpdis-2494	15	32	life	life	NOUN
ajpdis-2494	15	33	expectancy	expectancy	NOUN
ajpdis-2494	15	34	tables	table	NOUN
ajpdis-2494	15	35	)	)	PUNCT
ajpdis-2494	15	36	.	.	PUNCT
ajpdis-2494	16	1	for	for	ADP
ajpdis-2494	16	2	example	example	NOUN
ajpdis-2494	16	3	,	,	PUNCT
ajpdis-2494	16	4	using	use	VERB
ajpdis-2494	16	5	the	the	DET
ajpdis-2494	16	6	table	table	NOUN
ajpdis-2494	16	7	,	,	PUNCT
ajpdis-2494	16	8	it	it	PRON
ajpdis-2494	16	9	is	be	AUX
ajpdis-2494	16	10	possible	possible	ADJ
ajpdis-2494	16	11	to	to	PART
ajpdis-2494	16	12	determine	determine	VERB
ajpdis-2494	16	13	what	what	PRON
ajpdis-2494	16	14	reserve	reserve	VERB
ajpdis-2494	16	15	the	the	DET
ajpdis-2494	16	16	insurance	insurance	NOUN
ajpdis-2494	16	17	company	company	NOUN
ajpdis-2494	16	18	should	should	AUX
ajpdis-2494	16	19	have	have	VERB
ajpdis-2494	16	20	when	when	SCONJ
ajpdis-2494	16	21	insuring	insure	VERB
ajpdis-2494	16	22	a	a	DET
ajpdis-2494	16	23	homogeneous	homogeneous	ADJ
ajpdis-2494	16	24	group	group	NOUN
ajpdis-2494	16	25	of	of	ADP
ajpdis-2494	16	26	people	people	NOUN
ajpdis-2494	16	27	aged	age	VERB
ajpdis-2494	16	28	25	25	NUM
ajpdis-2494	16	29	-	-	SYM
ajpdis-2494	16	30	55	55	NUM
ajpdis-2494	16	31	.	.	PUNCT
ajpdis-2494	17	1	an	an	DET
ajpdis-2494	17	2	important	important	ADJ
ajpdis-2494	17	3	feature	feature	NOUN
ajpdis-2494	17	4	of	of	ADP
ajpdis-2494	17	5	simple	simple	ADJ
ajpdis-2494	17	6	tables	table	NOUN
ajpdis-2494	17	7	is	be	AUX
ajpdis-2494	17	8	that	that	SCONJ
ajpdis-2494	17	9	tle	tle	NOUN
ajpdis-2494	17	10	is	be	AUX
ajpdis-2494	17	11	compiled	compile	VERB
ajpdis-2494	17	12	as	as	ADP
ajpdis-2494	17	13	a	a	DET
ajpdis-2494	17	14	range	range	NOUN
ajpdis-2494	17	15	of	of	ADP
ajpdis-2494	17	16	whole	whole	ADJ
ajpdis-2494	17	17	values	value	NOUN
ajpdis-2494	17	18	of	of	ADP
ajpdis-2494	17	19	human	human	ADJ
ajpdis-2494	17	20	age	age	NOUN
ajpdis-2494	17	21	.	.	PUNCT
ajpdis-2494	18	1	this	this	PRON
ajpdis-2494	18	2	,	,	PUNCT
ajpdis-2494	18	3	in	in	ADP
ajpdis-2494	18	4	turn	turn	NOUN
ajpdis-2494	18	5	,	,	PUNCT
ajpdis-2494	18	6	causes	cause	VERB
ajpdis-2494	18	7	certain	certain	ADJ
ajpdis-2494	18	8	inconveniences	inconvenience	NOUN
ajpdis-2494	18	9	in	in	ADP
ajpdis-2494	18	10	actuarial	actuarial	ADJ
ajpdis-2494	18	11	calculations	calculation	NOUN
ajpdis-2494	18	12	.	.	PUNCT
ajpdis-2494	19	1	first	first	ADV
ajpdis-2494	19	2	,	,	PUNCT
ajpdis-2494	19	3	these	these	DET
ajpdis-2494	19	4	tables	table	NOUN
ajpdis-2494	19	5	have	have	VERB
ajpdis-2494	19	6	a	a	DET
ajpdis-2494	19	7	large	large	ADJ
ajpdis-2494	19	8	size	size	NOUN
ajpdis-2494	19	9	with	with	ADP
ajpdis-2494	19	10	many	many	ADJ
ajpdis-2494	19	11	parameters	parameter	NOUN
ajpdis-2494	19	12	.	.	PUNCT
ajpdis-2494	20	1	secondly	secondly	ADV
ajpdis-2494	20	2	,	,	PUNCT
ajpdis-2494	20	3	tle	tle	NOUN
ajpdis-2494	20	4	does	do	AUX
ajpdis-2494	20	5	not	not	PART
ajpdis-2494	20	6	have	have	VERB
ajpdis-2494	20	7	the	the	DET
ajpdis-2494	20	8	possibility	possibility	NOUN
ajpdis-2494	20	9	to	to	PART
ajpdis-2494	20	10	be	be	AUX
ajpdis-2494	20	11	used	use	VERB
ajpdis-2494	20	12	directly	directly	ADV
ajpdis-2494	20	13	in	in	ADP
ajpdis-2494	20	14	calculations	calculation	NOUN
ajpdis-2494	20	15	related	relate	VERB
ajpdis-2494	20	16	to	to	ADP
ajpdis-2494	20	17	non	non	ADJ
ajpdis-2494	20	18	-	-	ADJ
ajpdis-2494	20	19	integer	integer	ADJ
ajpdis-2494	20	20	values	value	NOUN
ajpdis-2494	20	21	of	of	ADP
ajpdis-2494	20	22	a	a	DET
ajpdis-2494	20	23	person	person	NOUN
ajpdis-2494	20	24	's	's	PART
ajpdis-2494	20	25	age	age	NOUN
ajpdis-2494	20	26	.	.	PUNCT
ajpdis-2494	21	1	for	for	ADP
ajpdis-2494	21	2	this	this	DET
ajpdis-2494	21	3	reason	reason	NOUN
ajpdis-2494	21	4	,	,	PUNCT
ajpdis-2494	21	5	it	it	PRON
ajpdis-2494	21	6	is	be	AUX
ajpdis-2494	21	7	important	important	ADJ
ajpdis-2494	21	8	to	to	PART
ajpdis-2494	21	9	construct	construct	VERB
ajpdis-2494	21	10	lifetime	lifetime	NOUN
ajpdis-2494	21	11	functions	function	NOUN
ajpdis-2494	21	12	.	.	PUNCT
ajpdis-2494	22	1	literature	literature	NOUN
ajpdis-2494	22	2	analysis	analysis	NOUN
ajpdis-2494	22	3	and	and	CCONJ
ajpdis-2494	22	4	methodology	methodology	NOUN
ajpdis-2494	22	5	.	.	PUNCT
ajpdis-2494	23	1	a	a	DET
ajpdis-2494	23	2	number	number	NOUN
ajpdis-2494	23	3	of	of	ADP
ajpdis-2494	23	4	conditions	condition	NOUN
ajpdis-2494	23	5	have	have	AUX
ajpdis-2494	23	6	been	be	AUX
ajpdis-2494	23	7	presented	present	VERB
ajpdis-2494	23	8	regarding	regard	VERB
ajpdis-2494	23	9	the	the	DET
ajpdis-2494	23	10	importance	importance	NOUN
ajpdis-2494	23	11	and	and	CCONJ
ajpdis-2494	23	12	necessity	necessity	NOUN
ajpdis-2494	23	13	of	of	ADP
ajpdis-2494	23	14	finding	find	VERB
ajpdis-2494	23	15	a	a	DET
ajpdis-2494	23	16	http://www/	http://www/	NOUN
ajpdis-2494	23	17	mailto:mohlaroyim261218@gmail.com	mailto:mohlaroyim261218@gmail.com	PROPN
ajpdis-2494	23	18	730	730	NUM
ajpdis-2494	23	19	american	american	PROPN
ajpdis-2494	23	20	journal	journal	PROPN
ajpdis-2494	23	21	of	of	ADP
ajpdis-2494	23	22	public	public	ADJ
ajpdis-2494	23	23	diplomacy	diplomacy	NOUN
ajpdis-2494	23	24	and	and	CCONJ
ajpdis-2494	23	25	international	international	ADJ
ajpdis-2494	23	26	studies	study	NOUN
ajpdis-2494	23	27	www	www	PROPN
ajpdis-2494	23	28	.	.	PUNCT
ajpdis-2494	24	1	grnjournal.us	grnjournal.us	X
ajpdis-2494	24	2	simple	simple	ADJ
ajpdis-2494	24	3	analytical	analytical	ADJ
ajpdis-2494	24	4	formula	formula	NOUN
ajpdis-2494	24	5	to	to	PART
ajpdis-2494	24	6	describe	describe	VERB
ajpdis-2494	24	7	population	population	NOUN
ajpdis-2494	24	8	mortality	mortality	NOUN
ajpdis-2494	25	1	[	[	X
ajpdis-2494	25	2	2	2	NUM
ajpdis-2494	25	3	]	]	PUNCT
ajpdis-2494	25	4	.	.	PUNCT
ajpdis-2494	26	1	the	the	DET
ajpdis-2494	26	2	main	main	ADJ
ajpdis-2494	26	3	points	point	NOUN
ajpdis-2494	26	4	in	in	ADP
ajpdis-2494	26	5	this	this	DET
ajpdis-2494	26	6	regard	regard	NOUN
ajpdis-2494	26	7	are	be	AUX
ajpdis-2494	26	8	as	as	SCONJ
ajpdis-2494	26	9	follows	follow	VERB
ajpdis-2494	26	10	:	:	PUNCT
ajpdis-2494	26	11	1	1	X
ajpdis-2494	26	12	)	)	PUNCT
ajpdis-2494	26	13	like	like	ADP
ajpdis-2494	26	14	many	many	ADJ
ajpdis-2494	26	15	physical	physical	ADJ
ajpdis-2494	26	16	phenomena	phenomenon	NOUN
ajpdis-2494	26	17	described	describe	VERB
ajpdis-2494	26	18	by	by	ADP
ajpdis-2494	26	19	simple	simple	ADJ
ajpdis-2494	26	20	formulas	formula	NOUN
ajpdis-2494	26	21	,	,	PUNCT
ajpdis-2494	26	22	there	there	PRON
ajpdis-2494	26	23	are	be	VERB
ajpdis-2494	26	24	several	several	ADJ
ajpdis-2494	26	25	biological	biological	ADJ
ajpdis-2494	26	26	arguments	argument	NOUN
ajpdis-2494	26	27	in	in	ADP
ajpdis-2494	26	28	favor	favor	NOUN
ajpdis-2494	26	29	of	of	ADP
ajpdis-2494	26	30	the	the	DET
ajpdis-2494	26	31	existence	existence	NOUN
ajpdis-2494	26	32	of	of	ADP
ajpdis-2494	26	33	analytical	analytical	ADJ
ajpdis-2494	26	34	laws	law	NOUN
ajpdis-2494	26	35	for	for	ADP
ajpdis-2494	26	36	the	the	DET
ajpdis-2494	26	37	process	process	NOUN
ajpdis-2494	26	38	of	of	ADP
ajpdis-2494	26	39	population	population	NOUN
ajpdis-2494	26	40	extinction	extinction	NOUN
ajpdis-2494	26	41	;	;	PUNCT
ajpdis-2494	26	42	2	2	X
ajpdis-2494	26	43	)	)	PUNCT
ajpdis-2494	26	44	from	from	ADP
ajpdis-2494	26	45	a	a	DET
ajpdis-2494	26	46	practical	practical	ADJ
ajpdis-2494	26	47	point	point	NOUN
ajpdis-2494	26	48	of	of	ADP
ajpdis-2494	26	49	view	view	NOUN
ajpdis-2494	26	50	,	,	PUNCT
ajpdis-2494	26	51	it	it	PRON
ajpdis-2494	26	52	is	be	AUX
ajpdis-2494	26	53	more	more	ADV
ajpdis-2494	26	54	convenient	convenient	ADJ
ajpdis-2494	26	55	to	to	PART
ajpdis-2494	26	56	work	work	VERB
ajpdis-2494	26	57	with	with	ADP
ajpdis-2494	26	58	a	a	DET
ajpdis-2494	26	59	function	function	NOUN
ajpdis-2494	26	60	with	with	ADP
ajpdis-2494	26	61	several	several	ADJ
ajpdis-2494	26	62	parameters	parameter	NOUN
ajpdis-2494	26	63	than	than	SCONJ
ajpdis-2494	26	64	to	to	PART
ajpdis-2494	26	65	deal	deal	VERB
ajpdis-2494	26	66	with	with	ADP
ajpdis-2494	26	67	tles	tle	NOUN
ajpdis-2494	26	68	that	that	PRON
ajpdis-2494	26	69	are	be	AUX
ajpdis-2494	26	70	large	large	ADJ
ajpdis-2494	26	71	in	in	ADP
ajpdis-2494	26	72	size	size	NOUN
ajpdis-2494	26	73	;	;	PUNCT
ajpdis-2494	26	74	3	3	X
ajpdis-2494	26	75	)	)	PUNCT
ajpdis-2494	26	76	it	it	PRON
ajpdis-2494	26	77	is	be	AUX
ajpdis-2494	26	78	often	often	ADV
ajpdis-2494	26	79	easier	easy	ADJ
ajpdis-2494	26	80	to	to	PART
ajpdis-2494	26	81	reconstruct	reconstruct	VERB
ajpdis-2494	26	82	the	the	DET
ajpdis-2494	26	83	lifetime	lifetime	NOUN
ajpdis-2494	26	84	function	function	NOUN
ajpdis-2494	26	85	if	if	SCONJ
ajpdis-2494	26	86	there	there	PRON
ajpdis-2494	26	87	are	be	VERB
ajpdis-2494	26	88	assumptions	assumption	NOUN
ajpdis-2494	26	89	about	about	ADP
ajpdis-2494	26	90	its	its	PRON
ajpdis-2494	26	91	parameters	parameter	NOUN
ajpdis-2494	26	92	than	than	SCONJ
ajpdis-2494	26	93	to	to	PART
ajpdis-2494	26	94	construct	construct	VERB
ajpdis-2494	26	95	the	the	DET
ajpdis-2494	26	96	tle	tle	NOUN
ajpdis-2494	26	97	.	.	PUNCT
ajpdis-2494	27	1	thus	thus	ADV
ajpdis-2494	27	2	,	,	PUNCT
ajpdis-2494	27	3	it	it	PRON
ajpdis-2494	27	4	is	be	AUX
ajpdis-2494	27	5	natural	natural	ADJ
ajpdis-2494	27	6	to	to	PART
ajpdis-2494	27	7	consider	consider	VERB
ajpdis-2494	27	8	the	the	DET
ajpdis-2494	27	9	problem	problem	NOUN
ajpdis-2494	27	10	of	of	ADP
ajpdis-2494	27	11	finding	find	VERB
ajpdis-2494	27	12	an	an	DET
ajpdis-2494	27	13	adequate	adequate	ADJ
ajpdis-2494	27	14	analytical	analytical	ADJ
ajpdis-2494	27	15	law	law	NOUN
ajpdis-2494	27	16	of	of	ADP
ajpdis-2494	27	17	mortality	mortality	NOUN
ajpdis-2494	27	18	that	that	PRON
ajpdis-2494	27	19	fits	fit	VERB
ajpdis-2494	27	20	the	the	DET
ajpdis-2494	27	21	data	datum	NOUN
ajpdis-2494	27	22	observed	observe	VERB
ajpdis-2494	27	23	in	in	ADP
ajpdis-2494	27	24	reality	reality	NOUN
ajpdis-2494	27	25	.	.	PUNCT
ajpdis-2494	28	1	however	however	ADV
ajpdis-2494	28	2	,	,	PUNCT
ajpdis-2494	28	3	when	when	SCONJ
ajpdis-2494	28	4	solving	solve	VERB
ajpdis-2494	28	5	such	such	ADJ
ajpdis-2494	28	6	problems	problem	NOUN
ajpdis-2494	28	7	,	,	PUNCT
ajpdis-2494	28	8	researchers	researcher	NOUN
ajpdis-2494	28	9	usually	usually	ADV
ajpdis-2494	28	10	follow	follow	VERB
ajpdis-2494	28	11	the	the	DET
ajpdis-2494	28	12	following	follow	VERB
ajpdis-2494	28	13	general	general	ADJ
ajpdis-2494	28	14	principles	principle	NOUN
ajpdis-2494	28	15	[	[	X
ajpdis-2494	28	16	4	4	NUM
ajpdis-2494	28	17	]	]	SYM
ajpdis-2494	28	18	:	:	PUNCT
ajpdis-2494	28	19	1	1	X
ajpdis-2494	28	20	)	)	PUNCT
ajpdis-2494	28	21	the	the	DET
ajpdis-2494	28	22	principle	principle	NOUN
ajpdis-2494	28	23	of	of	ADP
ajpdis-2494	28	24	theoretical	theoretical	ADJ
ajpdis-2494	28	25	validity	validity	NOUN
ajpdis-2494	28	26	.	.	PUNCT
ajpdis-2494	29	1	finding	find	VERB
ajpdis-2494	29	2	an	an	DET
ajpdis-2494	29	3	equation	equation	NOUN
ajpdis-2494	29	4	that	that	PRON
ajpdis-2494	29	5	has	have	VERB
ajpdis-2494	29	6	theoretical	theoretical	ADJ
ajpdis-2494	29	7	foundations	foundation	NOUN
ajpdis-2494	29	8	,	,	PUNCT
ajpdis-2494	29	9	i.e.	i.e.	X
ajpdis-2494	29	10	connections	connection	NOUN
ajpdis-2494	29	11	arising	arise	VERB
ajpdis-2494	29	12	from	from	ADP
ajpdis-2494	29	13	various	various	ADJ
ajpdis-2494	29	14	theoretical	theoretical	ADJ
ajpdis-2494	29	15	concepts	concept	NOUN
ajpdis-2494	29	16	.	.	PUNCT
ajpdis-2494	30	1	2	2	X
ajpdis-2494	30	2	)	)	PUNCT
ajpdis-2494	30	3	the	the	DET
ajpdis-2494	30	4	principle	principle	NOUN
ajpdis-2494	30	5	of	of	ADP
ajpdis-2494	30	6	universality	universality	NOUN
ajpdis-2494	30	7	.	.	PUNCT
ajpdis-2494	31	1	the	the	DET
ajpdis-2494	31	2	desire	desire	NOUN
ajpdis-2494	31	3	to	to	PART
ajpdis-2494	31	4	define	define	VERB
ajpdis-2494	31	5	a	a	DET
ajpdis-2494	31	6	general	general	ADJ
ajpdis-2494	31	7	function	function	NOUN
ajpdis-2494	31	8	that	that	PRON
ajpdis-2494	31	9	applies	apply	VERB
ajpdis-2494	31	10	to	to	ADP
ajpdis-2494	31	11	the	the	DET
ajpdis-2494	31	12	widest	wide	ADJ
ajpdis-2494	31	13	range	range	NOUN
ajpdis-2494	31	14	of	of	ADP
ajpdis-2494	31	15	natural	natural	ADJ
ajpdis-2494	31	16	phenomena	phenomenon	NOUN
ajpdis-2494	31	17	.	.	PUNCT
ajpdis-2494	32	1	in	in	ADP
ajpdis-2494	32	2	accordance	accordance	NOUN
ajpdis-2494	32	3	with	with	ADP
ajpdis-2494	32	4	this	this	DET
ajpdis-2494	32	5	principle	principle	NOUN
ajpdis-2494	32	6	,	,	PUNCT
ajpdis-2494	32	7	the	the	DET
ajpdis-2494	32	8	general	general	ADJ
ajpdis-2494	32	9	laws	law	NOUN
ajpdis-2494	32	10	of	of	ADP
ajpdis-2494	32	11	life	life	NOUN
ajpdis-2494	32	12	span	span	VERB
ajpdis-2494	32	13	distribution	distribution	NOUN
ajpdis-2494	32	14	,	,	PUNCT
ajpdis-2494	32	15	which	which	PRON
ajpdis-2494	32	16	apply	apply	VERB
ajpdis-2494	32	17	to	to	ADP
ajpdis-2494	32	18	various	various	ADJ
ajpdis-2494	32	19	organisms	organism	NOUN
ajpdis-2494	32	20	,	,	PUNCT
ajpdis-2494	32	21	including	include	VERB
ajpdis-2494	32	22	humans	human	NOUN
ajpdis-2494	32	23	,	,	PUNCT
ajpdis-2494	32	24	are	be	AUX
ajpdis-2494	32	25	of	of	ADP
ajpdis-2494	32	26	particular	particular	ADJ
ajpdis-2494	32	27	importance	importance	NOUN
ajpdis-2494	32	28	.	.	PUNCT
ajpdis-2494	33	1	3	3	X
ajpdis-2494	33	2	)	)	PUNCT
ajpdis-2494	33	3	the	the	DET
ajpdis-2494	33	4	principle	principle	NOUN
ajpdis-2494	33	5	of	of	ADP
ajpdis-2494	33	6	sufficient	sufficient	ADJ
ajpdis-2494	33	7	approximation	approximation	NOUN
ajpdis-2494	33	8	with	with	ADP
ajpdis-2494	33	9	the	the	DET
ajpdis-2494	33	10	least	least	ADJ
ajpdis-2494	33	11	number	number	NOUN
ajpdis-2494	33	12	of	of	ADP
ajpdis-2494	33	13	parameters	parameter	NOUN
ajpdis-2494	33	14	.	.	PUNCT
ajpdis-2494	34	1	the	the	DET
ajpdis-2494	34	2	formula	formula	NOUN
ajpdis-2494	34	3	that	that	PRON
ajpdis-2494	34	4	meets	meet	VERB
ajpdis-2494	34	5	this	this	DET
ajpdis-2494	34	6	principle	principle	NOUN
ajpdis-2494	34	7	gives	give	VERB
ajpdis-2494	34	8	the	the	DET
ajpdis-2494	34	9	most	most	ADV
ajpdis-2494	34	10	compact	compact	ADJ
ajpdis-2494	34	11	view	view	NOUN
ajpdis-2494	34	12	of	of	ADP
ajpdis-2494	34	13	the	the	DET
ajpdis-2494	34	14	data	datum	NOUN
ajpdis-2494	34	15	,	,	PUNCT
ajpdis-2494	34	16	which	which	PRON
ajpdis-2494	34	17	allows	allow	VERB
ajpdis-2494	34	18	to	to	PART
ajpdis-2494	34	19	restore	restore	VERB
ajpdis-2494	34	20	the	the	DET
ajpdis-2494	34	21	distribution	distribution	NOUN
ajpdis-2494	34	22	with	with	ADP
ajpdis-2494	34	23	a	a	DET
ajpdis-2494	34	24	minimum	minimum	ADJ
ajpdis-2494	34	25	number	number	NOUN
ajpdis-2494	34	26	of	of	ADP
ajpdis-2494	34	27	observations	observation	NOUN
ajpdis-2494	34	28	.	.	PUNCT
ajpdis-2494	35	1	4	4	X
ajpdis-2494	35	2	)	)	PUNCT
ajpdis-2494	35	3	the	the	DET
ajpdis-2494	35	4	principle	principle	NOUN
ajpdis-2494	35	5	of	of	ADP
ajpdis-2494	35	6	local	local	ADJ
ajpdis-2494	35	7	description	description	NOUN
ajpdis-2494	35	8	.	.	PUNCT
ajpdis-2494	36	1	if	if	SCONJ
ajpdis-2494	36	2	the	the	DET
ajpdis-2494	36	3	proposed	propose	VERB
ajpdis-2494	36	4	law	law	NOUN
ajpdis-2494	36	5	of	of	ADP
ajpdis-2494	36	6	distribution	distribution	NOUN
ajpdis-2494	36	7	of	of	ADP
ajpdis-2494	36	8	life	life	NOUN
ajpdis-2494	36	9	expectancy	expectancy	NOUN
ajpdis-2494	36	10	is	be	AUX
ajpdis-2494	36	11	valid	valid	ADJ
ajpdis-2494	36	12	only	only	ADV
ajpdis-2494	36	13	for	for	ADP
ajpdis-2494	36	14	a	a	DET
ajpdis-2494	36	15	limited	limited	ADJ
ajpdis-2494	36	16	age	age	NOUN
ajpdis-2494	36	17	range	range	NOUN
ajpdis-2494	36	18	,	,	PUNCT
ajpdis-2494	36	19	this	this	PRON
ajpdis-2494	36	20	is	be	AUX
ajpdis-2494	36	21	not	not	PART
ajpdis-2494	36	22	yet	yet	ADV
ajpdis-2494	36	23	a	a	DET
ajpdis-2494	36	24	reason	reason	NOUN
ajpdis-2494	36	25	for	for	ADP
ajpdis-2494	36	26	a	a	DET
ajpdis-2494	36	27	critical	critical	ADJ
ajpdis-2494	36	28	attitude	attitude	NOUN
ajpdis-2494	36	29	towards	towards	ADP
ajpdis-2494	36	30	it	it	PRON
ajpdis-2494	36	31	.	.	PUNCT
ajpdis-2494	37	1	the	the	DET
ajpdis-2494	37	2	limited	limited	ADJ
ajpdis-2494	37	3	application	application	NOUN
ajpdis-2494	37	4	of	of	ADP
ajpdis-2494	37	5	a	a	DET
ajpdis-2494	37	6	law	law	NOUN
ajpdis-2494	37	7	does	do	AUX
ajpdis-2494	37	8	not	not	PART
ajpdis-2494	37	9	show	show	VERB
ajpdis-2494	37	10	that	that	SCONJ
ajpdis-2494	37	11	it	it	PRON
ajpdis-2494	37	12	is	be	AUX
ajpdis-2494	37	13	wrong	wrong	ADJ
ajpdis-2494	37	14	,	,	PUNCT
ajpdis-2494	37	15	only	only	ADV
ajpdis-2494	37	16	that	that	SCONJ
ajpdis-2494	37	17	it	it	PRON
ajpdis-2494	37	18	is	be	AUX
ajpdis-2494	37	19	a	a	DET
ajpdis-2494	37	20	special	special	ADJ
ajpdis-2494	37	21	case	case	NOUN
ajpdis-2494	37	22	of	of	ADP
ajpdis-2494	37	23	another	another	PRON
ajpdis-2494	37	24	,	,	PUNCT
ajpdis-2494	37	25	more	more	ADV
ajpdis-2494	37	26	general	general	ADJ
ajpdis-2494	37	27	and	and	CCONJ
ajpdis-2494	37	28	as	as	ADV
ajpdis-2494	37	29	yet	yet	ADV
ajpdis-2494	37	30	unknown	unknown	ADJ
ajpdis-2494	37	31	law	law	NOUN
ajpdis-2494	37	32	.	.	PUNCT
ajpdis-2494	38	1	life	life	NOUN
ajpdis-2494	38	2	expectancy	expectancy	NOUN
ajpdis-2494	38	3	curves	curve	VERB
ajpdis-2494	38	4	the	the	DET
ajpdis-2494	38	5	uncertainty	uncertainty	NOUN
ajpdis-2494	38	6	or	or	CCONJ
ajpdis-2494	38	7	unpredictability	unpredictability	NOUN
ajpdis-2494	38	8	of	of	ADP
ajpdis-2494	38	9	death	death	NOUN
ajpdis-2494	38	10	,	,	PUNCT
ajpdis-2494	38	11	illness	illness	NOUN
ajpdis-2494	38	12	,	,	PUNCT
ajpdis-2494	38	13	or	or	CCONJ
ajpdis-2494	38	14	accident	accident	NOUN
ajpdis-2494	38	15	is	be	AUX
ajpdis-2494	38	16	not	not	PART
ajpdis-2494	38	17	only	only	ADV
ajpdis-2494	38	18	a	a	DET
ajpdis-2494	38	19	major	major	ADJ
ajpdis-2494	38	20	risk	risk	NOUN
ajpdis-2494	38	21	factor	factor	NOUN
ajpdis-2494	38	22	but	but	CCONJ
ajpdis-2494	38	23	also	also	ADV
ajpdis-2494	38	24	a	a	DET
ajpdis-2494	38	25	source	source	NOUN
ajpdis-2494	38	26	of	of	ADP
ajpdis-2494	38	27	randomness	randomness	NOUN
ajpdis-2494	38	28	in	in	ADP
ajpdis-2494	38	29	life	life	NOUN
ajpdis-2494	38	30	insurance	insurance	NOUN
ajpdis-2494	38	31	.	.	PUNCT
ajpdis-2494	39	1	it	it	PRON
ajpdis-2494	39	2	allows	allow	VERB
ajpdis-2494	39	3	the	the	DET
ajpdis-2494	39	4	use	use	NOUN
ajpdis-2494	39	5	of	of	ADP
ajpdis-2494	39	6	random	random	ADJ
ajpdis-2494	39	7	events	event	NOUN
ajpdis-2494	39	8	,	,	PUNCT
ajpdis-2494	39	9	quantities	quantity	NOUN
ajpdis-2494	39	10	,	,	PUNCT
ajpdis-2494	39	11	processes	process	NOUN
ajpdis-2494	39	12	in	in	ADP
ajpdis-2494	39	13	mathematical	mathematical	ADJ
ajpdis-2494	39	14	analysis	analysis	NOUN
ajpdis-2494	39	15	of	of	ADP
ajpdis-2494	39	16	various	various	ADJ
ajpdis-2494	39	17	aspects	aspect	NOUN
ajpdis-2494	39	18	of	of	ADP
ajpdis-2494	39	19	life	life	NOUN
ajpdis-2494	39	20	,	,	PUNCT
ajpdis-2494	39	21	health	health	NOUN
ajpdis-2494	39	22	,	,	PUNCT
ajpdis-2494	39	23	car	car	NOUN
ajpdis-2494	39	24	insurance	insurance	NOUN
ajpdis-2494	39	25	,	,	PUNCT
ajpdis-2494	39	26	etc	etc	X
ajpdis-2494	39	27	.	.	X
ajpdis-2494	40	1	at	at	ADP
ajpdis-2494	40	2	the	the	DET
ajpdis-2494	40	3	same	same	ADJ
ajpdis-2494	40	4	time	time	NOUN
ajpdis-2494	40	5	,	,	PUNCT
ajpdis-2494	40	6	the	the	DET
ajpdis-2494	40	7	creation	creation	NOUN
ajpdis-2494	40	8	of	of	ADP
ajpdis-2494	40	9	an	an	DET
ajpdis-2494	40	10	adequate	adequate	ADJ
ajpdis-2494	40	11	theory	theory	NOUN
ajpdis-2494	40	12	of	of	ADP
ajpdis-2494	40	13	life	life	NOUN
ajpdis-2494	40	14	insurance	insurance	NOUN
ajpdis-2494	40	15	should	should	AUX
ajpdis-2494	40	16	begin	begin	VERB
ajpdis-2494	40	17	with	with	ADP
ajpdis-2494	40	18	the	the	DET
ajpdis-2494	40	19	development	development	NOUN
ajpdis-2494	40	20	of	of	ADP
ajpdis-2494	40	21	a	a	DET
ajpdis-2494	40	22	system	system	NOUN
ajpdis-2494	40	23	of	of	ADP
ajpdis-2494	40	24	concepts	concept	NOUN
ajpdis-2494	40	25	and	and	CCONJ
ajpdis-2494	40	26	quantification	quantification	NOUN
ajpdis-2494	40	27	,	,	PUNCT
ajpdis-2494	40	28	which	which	PRON
ajpdis-2494	40	29	allows	allow	VERB
ajpdis-2494	40	30	making	make	VERB
ajpdis-2494	40	31	objective	objective	ADJ
ajpdis-2494	40	32	conclusions	conclusion	NOUN
ajpdis-2494	40	33	about	about	ADP
ajpdis-2494	40	34	life	life	NOUN
ajpdis-2494	40	35	expectancy	expectancy	NOUN
ajpdis-2494	40	36	.	.	PUNCT
ajpdis-2494	41	1	the	the	DET
ajpdis-2494	41	2	main	main	ADJ
ajpdis-2494	41	3	conclusion	conclusion	NOUN
ajpdis-2494	41	4	here	here	ADV
ajpdis-2494	41	5	is	be	AUX
ajpdis-2494	41	6	as	as	SCONJ
ajpdis-2494	41	7	follows	follow	VERB
ajpdis-2494	41	8	,	,	PUNCT
ajpdis-2494	41	9	it	it	PRON
ajpdis-2494	41	10	is	be	AUX
ajpdis-2494	41	11	difficult	difficult	ADJ
ajpdis-2494	41	12	to	to	PART
ajpdis-2494	41	13	say	say	VERB
ajpdis-2494	41	14	anything	anything	PRON
ajpdis-2494	41	15	definite	definite	ADJ
ajpdis-2494	41	16	about	about	ADP
ajpdis-2494	41	17	the	the	DET
ajpdis-2494	41	18	death	death	NOUN
ajpdis-2494	41	19	of	of	ADP
ajpdis-2494	41	20	a	a	DET
ajpdis-2494	41	21	person	person	NOUN
ajpdis-2494	41	22	,	,	PUNCT
ajpdis-2494	41	23	as	as	ADP
ajpdis-2494	41	24	a	a	DET
ajpdis-2494	41	25	rule	rule	NOUN
ajpdis-2494	41	26	.	.	PUNCT
ajpdis-2494	42	1	however	however	ADV
ajpdis-2494	42	2	,	,	PUNCT
ajpdis-2494	42	3	if	if	SCONJ
ajpdis-2494	42	4	we	we	PRON
ajpdis-2494	42	5	consider	consider	VERB
ajpdis-2494	42	6	a	a	DET
ajpdis-2494	42	7	sufficiently	sufficiently	ADV
ajpdis-2494	42	8	large	large	ADJ
ajpdis-2494	42	9	homogeneous	homogeneous	ADJ
ajpdis-2494	42	10	group	group	NOUN
ajpdis-2494	42	11	of	of	ADP
ajpdis-2494	42	12	people	people	NOUN
ajpdis-2494	42	13	without	without	ADP
ajpdis-2494	42	14	being	be	AUX
ajpdis-2494	42	15	interested	interested	ADJ
ajpdis-2494	42	16	in	in	ADP
ajpdis-2494	42	17	the	the	DET
ajpdis-2494	42	18	fate	fate	NOUN
ajpdis-2494	42	19	of	of	ADP
ajpdis-2494	42	20	individual	individual	ADJ
ajpdis-2494	42	21	people	people	NOUN
ajpdis-2494	42	22	in	in	ADP
ajpdis-2494	42	23	this	this	DET
ajpdis-2494	42	24	group	group	NOUN
ajpdis-2494	42	25	,	,	PUNCT
ajpdis-2494	42	26	we	we	PRON
ajpdis-2494	42	27	are	be	AUX
ajpdis-2494	42	28	within	within	ADP
ajpdis-2494	42	29	probability	probability	NOUN
ajpdis-2494	42	30	theory	theory	NOUN
ajpdis-2494	42	31	as	as	ADP
ajpdis-2494	42	32	the	the	DET
ajpdis-2494	42	33	science	science	NOUN
ajpdis-2494	42	34	of	of	ADP
ajpdis-2494	42	35	mass	mass	ADJ
ajpdis-2494	42	36	random	random	ADJ
ajpdis-2494	42	37	events	event	NOUN
ajpdis-2494	42	38	with	with	ADP
ajpdis-2494	42	39	the	the	DET
ajpdis-2494	42	40	property	property	NOUN
ajpdis-2494	42	41	of	of	ADP
ajpdis-2494	42	42	frequency	frequency	NOUN
ajpdis-2494	42	43	stability	stability	NOUN
ajpdis-2494	42	44	(	(	PUNCT
ajpdis-2494	42	45	for	for	ADP
ajpdis-2494	42	46	example	example	NOUN
ajpdis-2494	42	47	,	,	PUNCT
ajpdis-2494	42	48	normal	normal	ADJ
ajpdis-2494	42	49	or	or	CCONJ
ajpdis-2494	42	50	poisson	poisson	NOUN
ajpdis-2494	42	51	distribution	distribution	NOUN
ajpdis-2494	42	52	laws	law	NOUN
ajpdis-2494	42	53	approach	approach	VERB
ajpdis-2494	42	54	etc	etc	X
ajpdis-2494	42	55	.	.	PUNCT
ajpdis-2494	42	56	)	)	PUNCT
ajpdis-2494	42	57	.	.	PUNCT
ajpdis-2494	43	1	therefore	therefore	ADV
ajpdis-2494	43	2	,	,	PUNCT
ajpdis-2494	43	3	using	use	VERB
ajpdis-2494	43	4	the	the	DET
ajpdis-2494	43	5	terminology	terminology	NOUN
ajpdis-2494	43	6	of	of	ADP
ajpdis-2494	43	7	probability	probability	NOUN
ajpdis-2494	43	8	theory	theory	NOUN
ajpdis-2494	43	9	,	,	PUNCT
ajpdis-2494	43	10	the	the	DET
ajpdis-2494	43	11	life	life	NOUN
ajpdis-2494	43	12	expectancy	expectancy	NOUN
ajpdis-2494	43	13	x	x	PUNCT
ajpdis-2494	43	14	is	be	AUX
ajpdis-2494	43	15	entered	enter	VERB
ajpdis-2494	43	16	as	as	ADP
ajpdis-2494	43	17	a	a	DET
ajpdis-2494	43	18	random	random	ADJ
ajpdis-2494	43	19	variable	variable	NOUN
ajpdis-2494	43	20	a	a	DET
ajpdis-2494	43	21	random	random	ADJ
ajpdis-2494	43	22	variable	variable	NOUN
ajpdis-2494	43	23	.	.	PUNCT
ajpdis-2494	44	1	let	let	VERB
ajpdis-2494	44	2	xdenote	xdenote	VERB
ajpdis-2494	44	3	the	the	DET
ajpdis-2494	44	4	life	life	NOUN
ajpdis-2494	44	5	expectancy	expectancy	NOUN
ajpdis-2494	44	6	with	with	ADP
ajpdis-2494	44	7	p(x>0)=1	p(x>0)=1	NOUN
ajpdis-2494	44	8	.	.	PUNCT
ajpdis-2494	45	1	distribution	distribution	NOUN
ajpdis-2494	45	2	function	function	NOUN
ajpdis-2494	45	3	for	for	ADP
ajpdis-2494	45	4	x	x	SYM
ajpdis-2494	45	5	tm	tm	PROPN
ajpdis-2494	45	6	describing	describe	VERB
ajpdis-2494	45	7	the	the	DET
ajpdis-2494	45	8	complete	complete	ADJ
ajpdis-2494	45	9	characteristic	characteristic	NOUN
ajpdis-2494	45	10	,	,	PUNCT
ajpdis-2494	45	11	nature	nature	NOUN
ajpdis-2494	45	12	of	of	ADP
ajpdis-2494	45	13	x	x	DET
ajpdis-2494	45	14	tm	tm	PROPN
ajpdis-2494	45	15	f(x)=p(x≤x	f(x)=p(x≤x	NOUN
ajpdis-2494	45	16	)	)	PUNCT
ajpdis-2494	45	17	(	(	PUNCT
ajpdis-2494	45	18	1	1	X
ajpdis-2494	45	19	)	)	PUNCT
ajpdis-2494	45	20	let	let	VERB
ajpdis-2494	45	21	it	it	PRON
ajpdis-2494	45	22	be	be	AUX
ajpdis-2494	45	23	in	in	ADP
ajpdis-2494	45	24	actuarial	actuarial	ADJ
ajpdis-2494	45	25	mathematics	mathematic	NOUN
ajpdis-2494	45	26	,	,	PUNCT
ajpdis-2494	45	27	it	it	PRON
ajpdis-2494	45	28	is	be	AUX
ajpdis-2494	45	29	common	common	ADJ
ajpdis-2494	45	30	to	to	PART
ajpdis-2494	45	31	consider	consider	VERB
ajpdis-2494	45	32	a	a	DET
ajpdis-2494	45	33	function	function	NOUN
ajpdis-2494	45	34	that	that	PRON
ajpdis-2494	45	35	complements	complement	VERB
ajpdis-2494	45	36	(	(	PUNCT
ajpdis-2494	45	37	1	1	NUM
ajpdis-2494	45	38	)	)	PUNCT
ajpdis-2494	45	39	and	and	CCONJ
ajpdis-2494	45	40	is	be	AUX
ajpdis-2494	45	41	called	call	VERB
ajpdis-2494	45	42	the	the	DET
ajpdis-2494	45	43	survival	survival	NOUN
ajpdis-2494	45	44	function	function	NOUN
ajpdis-2494	45	45	:	:	PUNCT
ajpdis-2494	45	46	𝑆(𝑥)=p(x	𝑆(𝑥)=p(x	PROPN
ajpdis-2494	45	47	>	>	SYM
ajpdis-2494	45	48	x)=1	x)=1	PROPN
ajpdis-2494	45	49	-	-	PUNCT
ajpdis-2494	45	50	f(x	f(x	PROPN
ajpdis-2494	45	51	)	)	PUNCT
ajpdis-2494	45	52	.	.	PUNCT
ajpdis-2494	46	1	this	this	PRON
ajpdis-2494	46	2	is	be	AUX
ajpdis-2494	46	3	the	the	DET
ajpdis-2494	46	4	probability	probability	NOUN
ajpdis-2494	46	5	that	that	SCONJ
ajpdis-2494	46	6	a	a	DET
ajpdis-2494	46	7	person	person	NOUN
ajpdis-2494	46	8	will	will	AUX
ajpdis-2494	46	9	live	live	VERB
ajpdis-2494	46	10	to	to	ADP
ajpdis-2494	46	11	(	(	PUNCT
ajpdis-2494	46	12	maturity	maturity	NOUN
ajpdis-2494	46	13	)	)	PUNCT
ajpdis-2494	46	14	x	x	NUM
ajpdis-2494	46	15	years	year	NOUN
ajpdis-2494	46	16	.	.	PUNCT
ajpdis-2494	47	1	the	the	DET
ajpdis-2494	47	2	life	life	NOUN
ajpdis-2494	47	3	expectancy	expectancy	NOUN
ajpdis-2494	47	4	function	function	NOUN
ajpdis-2494	47	5	as	as	ADP
ajpdis-2494	47	6	an	an	DET
ajpdis-2494	47	7	additional	additional	ADJ
ajpdis-2494	47	8	function	function	NOUN
ajpdis-2494	47	9	to	to	ADP
ajpdis-2494	47	10	the	the	DET
ajpdis-2494	47	11	distribution	distribution	NOUN
ajpdis-2494	47	12	function	function	NOUN
ajpdis-2494	47	13	of	of	ADP
ajpdis-2494	47	14	x	x	PUNCT
ajpdis-2494	47	15	has	have	VERB
ajpdis-2494	47	16	the	the	DET
ajpdis-2494	47	17	following	follow	VERB
ajpdis-2494	47	18	characteristic	characteristic	ADJ
ajpdis-2494	47	19	properties	property	NOUN
ajpdis-2494	47	20	:	:	PUNCT
ajpdis-2494	47	21	1	1	X
ajpdis-2494	47	22	)	)	PUNCT
ajpdis-2494	47	23	𝑆(𝑥	𝑆(𝑥	NUM
ajpdis-2494	47	24	)	)	PUNCT
ajpdis-2494	47	25	is	be	AUX
ajpdis-2494	47	26	not	not	PART
ajpdis-2494	47	27	increasing	increase	VERB
ajpdis-2494	47	28	and	and	CCONJ
ajpdis-2494	47	29	;	;	PUNCT
ajpdis-2494	47	30	0	0	NUM
ajpdis-2494	47	31	≤	≤	NUM
ajpdis-2494	47	32	𝑆(𝑥	𝑆(𝑥	NUM
ajpdis-2494	47	33	)	)	PUNCT
ajpdis-2494	47	34	≤	≤	NUM
ajpdis-2494	47	35	1	1	NUM
ajpdis-2494	47	36	http://www/	http://www/	NOUN
ajpdis-2494	47	37	731	731	NUM
ajpdis-2494	47	38	american	american	ADJ
ajpdis-2494	47	39	journal	journal	PROPN
ajpdis-2494	47	40	of	of	ADP
ajpdis-2494	47	41	public	public	ADJ
ajpdis-2494	47	42	diplomacy	diplomacy	NOUN
ajpdis-2494	47	43	and	and	CCONJ
ajpdis-2494	47	44	international	international	ADJ
ajpdis-2494	47	45	studies	study	NOUN
ajpdis-2494	47	46	www	www	PROPN
ajpdis-2494	47	47	.	.	PROPN
ajpdis-2494	48	1	grnjournal.us	grnjournal.us	X
ajpdis-2494	48	2	2	2	NUM
ajpdis-2494	48	3	)	)	PUNCT
ajpdis-2494	48	4	𝑆(0)=1	𝑆(0)=1	PROPN
ajpdis-2494	48	5	,	,	PUNCT
ajpdis-2494	48	6	𝑆(+∞)=0	𝑆(+∞)=0	NOUN
ajpdis-2494	48	7	;	;	PUNCT
ajpdis-2494	48	8	3	3	X
ajpdis-2494	48	9	)	)	PUNCT
ajpdis-2494	48	10	𝑆(𝑥	𝑆(𝑥	NUM
ajpdis-2494	48	11	)	)	PUNCT
ajpdis-2494	48	12	continuous	continuous	ADJ
ajpdis-2494	48	13	from	from	ADP
ajpdis-2494	48	14	the	the	DET
ajpdis-2494	48	15	right	right	NOUN
ajpdis-2494	48	16	.	.	PUNCT
ajpdis-2494	49	1	however	however	ADV
ajpdis-2494	49	2	,	,	PUNCT
ajpdis-2494	49	3	for	for	ADP
ajpdis-2494	49	4	the	the	DET
ajpdis-2494	49	5	actual	actual	ADJ
ajpdis-2494	49	6	process	process	NOUN
ajpdis-2494	49	7	of	of	ADP
ajpdis-2494	49	8	death	death	NOUN
ajpdis-2494	49	9	,	,	PUNCT
ajpdis-2494	49	10	properties	property	NOUN
ajpdis-2494	49	11	1	1	NUM
ajpdis-2494	49	12	)	)	PUNCT
ajpdis-2494	49	13	and	and	CCONJ
ajpdis-2494	49	14	3	3	X
ajpdis-2494	49	15	)	)	PUNCT
ajpdis-2494	49	16	are	be	AUX
ajpdis-2494	49	17	slightly	slightly	ADV
ajpdis-2494	49	18	modified	modify	VERB
ajpdis-2494	49	19	.	.	PUNCT
ajpdis-2494	50	1	in	in	ADP
ajpdis-2494	50	2	fact	fact	NOUN
ajpdis-2494	50	3	,	,	PUNCT
ajpdis-2494	50	4	the	the	DET
ajpdis-2494	50	5	function	function	NOUN
ajpdis-2494	50	6	of	of	ADP
ajpdis-2494	50	7	life	life	NOUN
ajpdis-2494	50	8	duration	duration	NOUN
ajpdis-2494	50	9	must	must	AUX
ajpdis-2494	50	10	strictly	strictly	ADV
ajpdis-2494	50	11	decrease	decrease	VERB
ajpdis-2494	50	12	,	,	PUNCT
ajpdis-2494	50	13	otherwise	otherwise	ADV
ajpdis-2494	50	14	there	there	PRON
ajpdis-2494	50	15	will	will	AUX
ajpdis-2494	50	16	be	be	AUX
ajpdis-2494	50	17	a	a	DET
ajpdis-2494	50	18	certain	certain	ADJ
ajpdis-2494	50	19	period	period	NOUN
ajpdis-2494	50	20	in	in	ADP
ajpdis-2494	50	21	a	a	DET
ajpdis-2494	50	22	person	person	NOUN
ajpdis-2494	50	23	's	's	PART
ajpdis-2494	50	24	life	life	NOUN
ajpdis-2494	50	25	,	,	PUNCT
ajpdis-2494	50	26	for	for	ADP
ajpdis-2494	50	27	example	example	NOUN
ajpdis-2494	50	28	,	,	PUNCT
ajpdis-2494	50	29	dx	dx	PROPN
ajpdis-2494	50	30	=	=	NOUN
ajpdis-2494	50	31	xi	xi	PROPN
ajpdis-2494	50	32	-	-	PUNCT
ajpdis-2494	50	33	x	x	NOUN
ajpdis-2494	50	34	,	,	PUNCT
ajpdis-2494	50	35	he	he	PRON
ajpdis-2494	50	36	will	will	AUX
ajpdis-2494	50	37	not	not	PART
ajpdis-2494	50	38	die	die	VERB
ajpdis-2494	50	39	.	.	PUNCT
ajpdis-2494	51	1	besides	besides	SCONJ
ajpdis-2494	51	2	,	,	PUNCT
ajpdis-2494	51	3	𝑆(𝑥	𝑆(𝑥	NUM
ajpdis-2494	51	4	)	)	PUNCT
ajpdis-2494	51	5	must	must	AUX
ajpdis-2494	51	6	be	be	AUX
ajpdis-2494	51	7	continuous	continuous	ADJ
ajpdis-2494	51	8	,	,	PUNCT
ajpdis-2494	51	9	otherwise	otherwise	ADV
ajpdis-2494	51	10	in	in	ADP
ajpdis-2494	51	11	human	human	ADJ
ajpdis-2494	51	12	life	life	NOUN
ajpdis-2494	51	13	it	it	PRON
ajpdis-2494	51	14	will	will	AUX
ajpdis-2494	51	15	be	be	AUX
ajpdis-2494	51	16	the	the	DET
ajpdis-2494	51	17	instant	instant	NOUN
ajpdis-2494	51	18	of	of	ADP
ajpdis-2494	51	19	death	death	NOUN
ajpdis-2494	51	20	x0	x0	PROPN
ajpdis-2494	51	21	with	with	ADP
ajpdis-2494	51	22	non	non	ADJ
ajpdis-2494	51	23	-	-	ADJ
ajpdis-2494	51	24	zero	zero	NUM
ajpdis-2494	51	25	probability	probability	NOUN
ajpdis-2494	51	26	:	:	PUNCT
ajpdis-2494	51	27	dr	dr	PROPN
ajpdis-2494	51	28	=	=	PROPN
ajpdis-2494	51	29	s(x0-)-s(x	s(x0-)-s(x	PROPN
ajpdis-2494	51	30	)	)	PUNCT
ajpdis-2494	51	31	,	,	PUNCT
ajpdis-2494	51	32	𝑆(𝑥0−	𝑆(𝑥0−	ADJ
ajpdis-2494	51	33	)	)	PUNCT
ajpdis-2494	52	1	=	=	SYM
ajpdis-2494	52	2	lim	lim	PROPN
ajpdis-2494	52	3	𝑥→𝑥0−	𝑥→𝑥0−	PROPN
ajpdis-2494	52	4	𝑆(𝑥	𝑆(𝑥	PROPN
ajpdis-2494	52	5	)	)	PUNCT
ajpdis-2494	52	6	,	,	PUNCT
ajpdis-2494	52	7	𝑆(𝑥0	𝑆(𝑥0	PROPN
ajpdis-2494	52	8	)	)	PUNCT
ajpdis-2494	52	9	=	=	PROPN
ajpdis-2494	52	10	lim	lim	PROPN
ajpdis-2494	52	11	𝑥→𝑥0	𝑥→𝑥0	PROPN
ajpdis-2494	52	12	+	+	CCONJ
ajpdis-2494	52	13	𝑆(𝑥	𝑆(𝑥	NUM
ajpdis-2494	52	14	)	)	PUNCT
ajpdis-2494	52	15	.	.	PUNCT
ajpdis-2494	53	1	also	also	ADV
ajpdis-2494	53	2	,	,	PUNCT
ajpdis-2494	53	3	since	since	SCONJ
ajpdis-2494	53	4	x	x	PRON
ajpdis-2494	53	5	has	have	VERB
ajpdis-2494	53	6	a	a	DET
ajpdis-2494	53	7	limited	limited	ADJ
ajpdis-2494	53	8	real	real	ADJ
ajpdis-2494	53	9	life	life	NOUN
ajpdis-2494	53	10	span	span	NOUN
ajpdis-2494	53	11	,	,	PUNCT
ajpdis-2494	53	12	it	it	PRON
ajpdis-2494	53	13	is	be	AUX
ajpdis-2494	53	14	usually	usually	ADV
ajpdis-2494	53	15	assumed	assume	VERB
ajpdis-2494	53	16	to	to	PART
ajpdis-2494	53	17	be	be	AUX
ajpdis-2494	53	18	finite	finite	ADJ
ajpdis-2494	53	19	at	at	ADP
ajpdis-2494	53	20	age	age	NOUN
ajpdis-2494	53	21	a	a	PRON
ajpdis-2494	53	22	(	(	PUNCT
ajpdis-2494	53	23	as	as	ADP
ajpdis-2494	53	24	a	a	DET
ajpdis-2494	53	25	rule	rule	NOUN
ajpdis-2494	53	26	,	,	PUNCT
ajpdis-2494	53	27	a=100	a=100	PROPN
ajpdis-2494	53	28	,	,	PUNCT
ajpdis-2494	53	29	120	120	NUM
ajpdis-2494	53	30	years	year	NOUN
ajpdis-2494	53	31	)	)	PUNCT
ajpdis-2494	53	32	,	,	PUNCT
ajpdis-2494	53	33	so	so	ADV
ajpdis-2494	53	34	𝑆(𝑥	𝑆(𝑥	X
ajpdis-2494	53	35	)	)	PUNCT
ajpdis-2494	53	36	x	x	NOUN
ajpdis-2494	53	37	>	>	X
ajpdis-2494	53	38	a	a	PRON
ajpdis-2494	53	39	for	for	ADP
ajpdis-2494	53	40	s(x)=0	s(x)=0	NOUN
ajpdis-2494	53	41	.	.	PUNCT
ajpdis-2494	54	1	the	the	DET
ajpdis-2494	54	2	lifetime	lifetime	NOUN
ajpdis-2494	54	3	s(x	s(x	PROPN
ajpdis-2494	54	4	)	)	PUNCT
ajpdis-2494	54	5	has	have	VERB
ajpdis-2494	54	6	a	a	DET
ajpdis-2494	54	7	simple	simple	ADJ
ajpdis-2494	54	8	statistical	statistical	ADJ
ajpdis-2494	54	9	meaning	meaning	NOUN
ajpdis-2494	54	10	.	.	PUNCT
ajpdis-2494	55	1	it	it	PRON
ajpdis-2494	55	2	is	be	AUX
ajpdis-2494	55	3	equal	equal	ADJ
ajpdis-2494	55	4	to	to	ADP
ajpdis-2494	55	5	the	the	DET
ajpdis-2494	55	6	average	average	ADJ
ajpdis-2494	55	7	percentage	percentage	NOUN
ajpdis-2494	55	8	of	of	ADP
ajpdis-2494	55	9	a	a	DET
ajpdis-2494	55	10	certain	certain	ADJ
ajpdis-2494	55	11	constant	constant	ADJ
ajpdis-2494	55	12	group	group	NOUN
ajpdis-2494	55	13	of	of	ADP
ajpdis-2494	55	14	newborns	newborn	NOUN
ajpdis-2494	55	15	who	who	PRON
ajpdis-2494	55	16	survive	survive	VERB
ajpdis-2494	55	17	to	to	ADP
ajpdis-2494	55	18	the	the	DET
ajpdis-2494	55	19	age	age	NOUN
ajpdis-2494	55	20	of	of	ADP
ajpdis-2494	55	21	x	x	PUNCT
ajpdis-2494	56	1	[	[	X
ajpdis-2494	56	2	6	6	NUM
ajpdis-2494	56	3	]	]	PUNCT
ajpdis-2494	56	4	.	.	PUNCT
ajpdis-2494	57	1	according	accord	VERB
ajpdis-2494	57	2	to	to	ADP
ajpdis-2494	57	3	the	the	DET
ajpdis-2494	57	4	general	general	ADJ
ajpdis-2494	57	5	property	property	NOUN
ajpdis-2494	57	6	of	of	ADP
ajpdis-2494	57	7	probability	probability	NOUN
ajpdis-2494	57	8	theory	theory	NOUN
ajpdis-2494	57	9	,	,	PUNCT
ajpdis-2494	57	10	according	accord	VERB
ajpdis-2494	57	11	to	to	ADP
ajpdis-2494	57	12	the	the	DET
ajpdis-2494	57	13	stochastic	stochastic	ADJ
ajpdis-2494	57	14	nature	nature	NOUN
ajpdis-2494	57	15	of	of	ADP
ajpdis-2494	57	16	a	a	DET
ajpdis-2494	57	17	continuous	continuous	ADJ
ajpdis-2494	57	18	random	random	ADJ
ajpdis-2494	57	19	variable	variable	NOUN
ajpdis-2494	57	20	,	,	PUNCT
ajpdis-2494	57	21	its	its	PRON
ajpdis-2494	57	22	density	density	NOUN
ajpdis-2494	57	23	is	be	AUX
ajpdis-2494	57	24	.	.	PUNCT
ajpdis-2494	58	1	𝑓(𝑥	𝑓(𝑥	NOUN
ajpdis-2494	58	2	)	)	PUNCT
ajpdis-2494	58	3	𝑓(𝑥	𝑓(𝑥	NOUN
ajpdis-2494	58	4	)	)	PUNCT
ajpdis-2494	58	5	=	=	SYM
ajpdis-2494	58	6	𝐹′(𝑥	𝐹′(𝑥	X
ajpdis-2494	58	7	)	)	PUNCT
ajpdis-2494	58	8	=	=	SYM
ajpdis-2494	58	9	−𝑆′(𝑥	−𝑆′(𝑥	PROPN
ajpdis-2494	58	10	)	)	PUNCT
ajpdis-2494	58	11	the	the	DET
ajpdis-2494	58	12	intensity	intensity	NOUN
ajpdis-2494	58	13	of	of	ADP
ajpdis-2494	58	14	death	death	NOUN
ajpdis-2494	58	15	(	(	PUNCT
ajpdis-2494	58	16	life	life	NOUN
ajpdis-2494	58	17	expectancy	expectancy	NOUN
ajpdis-2494	58	18	)	)	PUNCT
ajpdis-2494	58	19	is	be	AUX
ajpdis-2494	58	20	determined	determine	VERB
ajpdis-2494	58	21	as	as	SCONJ
ajpdis-2494	58	22	follows	follow	VERB
ajpdis-2494	58	23	:	:	PUNCT
ajpdis-2494	58	24	𝜇𝑥	𝜇𝑥	NOUN
ajpdis-2494	58	25	=	=	SYM
ajpdis-2494	58	26	𝑓(𝑥	𝑓(𝑥	NOUN
ajpdis-2494	58	27	)	)	PUNCT
ajpdis-2494	58	28	1−𝐹(𝑥	1−𝐹(𝑥	NUM
ajpdis-2494	58	29	)	)	PUNCT
ajpdis-2494	58	30	=	=	SYM
ajpdis-2494	58	31	𝑓(𝑥	𝑓(𝑥	NOUN
ajpdis-2494	58	32	)	)	PUNCT
ajpdis-2494	58	33	𝑆(𝑥	𝑆(𝑥	NUM
ajpdis-2494	58	34	)	)	PUNCT
ajpdis-2494	58	35	=	=	SYM
ajpdis-2494	58	36	−𝑑ln(𝑆(𝑥	−𝑑ln(𝑆(𝑥	PROPN
ajpdis-2494	58	37	)	)	PUNCT
ajpdis-2494	58	38	)	)	PUNCT
ajpdis-2494	58	39	.	.	PUNCT
ajpdis-2494	59	1	obviously	obviously	ADV
ajpdis-2494	59	2	,	,	PUNCT
ajpdis-2494	59	3	it	it	PRON
ajpdis-2494	59	4	has	have	VERB
ajpdis-2494	59	5	the	the	DET
ajpdis-2494	59	6	following	follow	VERB
ajpdis-2494	59	7	properties	property	NOUN
ajpdis-2494	59	8	[	[	X
ajpdis-2494	59	9	7	7	NUM
ajpdis-2494	59	10	]	]	X
ajpdis-2494	59	11	:	:	PUNCT
ajpdis-2494	60	1	1)𝜇𝑥	1)𝜇𝑥	NUM
ajpdis-2494	60	2	≥	≥	NOUN
ajpdis-2494	60	3	0	0	NUM
ajpdis-2494	60	4	2).∫	2).∫	NUM
ajpdis-2494	60	5	𝜇𝑢du=+∞	𝜇𝑢du=+∞	NUM
ajpdis-2494	60	6	∞	∞	NOUN
ajpdis-2494	60	7	0	0	PUNCT
ajpdis-2494	61	1	together	together	ADV
ajpdis-2494	61	2	,	,	PUNCT
ajpdis-2494	61	3	these	these	DET
ajpdis-2494	61	4	functions	function	NOUN
ajpdis-2494	61	5	are	be	AUX
ajpdis-2494	61	6	commonly	commonly	ADV
ajpdis-2494	61	7	referred	refer	VERB
ajpdis-2494	61	8	to	to	ADP
ajpdis-2494	61	9	as	as	SCONJ
ajpdis-2494	61	10	the	the	DET
ajpdis-2494	61	11	mortality	mortality	NOUN
ajpdis-2494	61	12	(	(	PUNCT
ajpdis-2494	61	13	life	life	NOUN
ajpdis-2494	61	14	expectancy	expectancy	NOUN
ajpdis-2494	61	15	)	)	PUNCT
ajpdis-2494	61	16	curve	curve	NOUN
ajpdis-2494	61	17	.	.	PUNCT
ajpdis-2494	62	1	since	since	SCONJ
ajpdis-2494	62	2	mortality	mortality	NOUN
ajpdis-2494	62	3	curves	curve	NOUN
ajpdis-2494	62	4	provide	provide	VERB
ajpdis-2494	62	5	a	a	DET
ajpdis-2494	62	6	general	general	ADJ
ajpdis-2494	62	7	description	description	NOUN
ajpdis-2494	62	8	of	of	ADP
ajpdis-2494	62	9	the	the	DET
ajpdis-2494	62	10	decline	decline	NOUN
ajpdis-2494	62	11	of	of	ADP
ajpdis-2494	62	12	a	a	DET
ajpdis-2494	62	13	given	give	VERB
ajpdis-2494	62	14	group	group	NOUN
ajpdis-2494	62	15	of	of	ADP
ajpdis-2494	62	16	observations	observation	NOUN
ajpdis-2494	62	17	in	in	ADP
ajpdis-2494	62	18	a	a	DET
ajpdis-2494	62	19	population	population	NOUN
ajpdis-2494	62	20	,	,	PUNCT
ajpdis-2494	62	21	great	great	ADJ
ajpdis-2494	62	22	importance	importance	NOUN
ajpdis-2494	62	23	is	be	AUX
ajpdis-2494	62	24	attached	attach	VERB
ajpdis-2494	62	25	to	to	ADP
ajpdis-2494	62	26	finding	find	VERB
ajpdis-2494	62	27	an	an	DET
ajpdis-2494	62	28	adequate	adequate	ADJ
ajpdis-2494	62	29	model	model	NOUN
ajpdis-2494	62	30	[	[	X
ajpdis-2494	62	31	6	6	NUM
ajpdis-2494	62	32	]	]	PUNCT
ajpdis-2494	62	33	.	.	PUNCT
ajpdis-2494	63	1	these	these	DET
ajpdis-2494	63	2	types	type	NOUN
ajpdis-2494	63	3	of	of	ADP
ajpdis-2494	63	4	curves	curve	NOUN
ajpdis-2494	63	5	are	be	AUX
ajpdis-2494	63	6	hypothesized	hypothesize	VERB
ajpdis-2494	63	7	based	base	VERB
ajpdis-2494	63	8	on	on	ADP
ajpdis-2494	63	9	demographic	demographic	ADJ
ajpdis-2494	63	10	hypotheses	hypothesis	NOUN
ajpdis-2494	63	11	.	.	PUNCT
ajpdis-2494	64	1	some	some	DET
ajpdis-2494	64	2	analytical	analytical	ADJ
ajpdis-2494	64	3	laws	law	NOUN
ajpdis-2494	64	4	of	of	ADP
ajpdis-2494	64	5	death	death	NOUN
ajpdis-2494	64	6	have	have	AUX
ajpdis-2494	64	7	been	be	AUX
ajpdis-2494	64	8	studied	study	VERB
ajpdis-2494	64	9	in	in	ADP
ajpdis-2494	64	10	several	several	ADJ
ajpdis-2494	64	11	works	work	NOUN
ajpdis-2494	64	12	,	,	PUNCT
ajpdis-2494	64	13	𝑆(𝑥	𝑆(𝑥	X
ajpdis-2494	64	14	)	)	PUNCT
ajpdis-2494	64	15	=	=	SYM
ajpdis-2494	65	1	1	1	NUM
ajpdis-2494	65	2	−	−	NOUN
ajpdis-2494	65	3	𝑥	𝑥	PRON
ajpdis-2494	65	4	𝛼	𝛼	X
ajpdis-2494	65	5	de	de	X
ajpdis-2494	65	6	moivre	moivre	NOUN
ajpdis-2494	65	7	model	model	NOUN
ajpdis-2494	65	8	(	(	PUNCT
ajpdis-2494	65	9	1729	1729	NUM
ajpdis-2494	65	10	)	)	PUNCT
ajpdis-2494	65	11	𝑆(𝑥	𝑆(𝑥	X
ajpdis-2494	65	12	)	)	PUNCT
ajpdis-2494	65	13	=	=	PUNCT
ajpdis-2494	66	1	exp[−𝐵(𝑒𝛼𝑥	exp[−𝐵(𝑒𝛼𝑥	ADJ
ajpdis-2494	66	2	−	−	NOUN
ajpdis-2494	66	3	1	1	X
ajpdis-2494	66	4	)	)	PUNCT
ajpdis-2494	66	5	𝛼⁄	𝛼⁄	NOUN
ajpdis-2494	66	6	]	]	PUNCT
ajpdis-2494	66	7	gomperts	gompert	VERB
ajpdis-2494	66	8	model	model	NOUN
ajpdis-2494	66	9	(	(	PUNCT
ajpdis-2494	66	10	1825	1825	NUM
ajpdis-2494	66	11	)	)	PUNCT
ajpdis-2494	66	12	𝑆(𝑥	𝑆(𝑥	X
ajpdis-2494	66	13	)	)	PUNCT
ajpdis-2494	66	14	=	=	SYM
ajpdis-2494	66	15	exp[−ax	exp[−ax	PROPN
ajpdis-2494	66	16	−	−	PROPN
ajpdis-2494	66	17	𝐵(𝑒𝛼𝑥	𝐵(𝑒𝛼𝑥	NOUN
ajpdis-2494	66	18	−	−	NOUN
ajpdis-2494	66	19	1	1	X
ajpdis-2494	66	20	)	)	PUNCT
ajpdis-2494	66	21	𝛼⁄	𝛼⁄	PROPN
ajpdis-2494	66	22	]	]	PUNCT
ajpdis-2494	66	23	makeham	makeham	PROPN
ajpdis-2494	66	24	model	model	NOUN
ajpdis-2494	66	25	(	(	PUNCT
ajpdis-2494	66	26	1860	1860	NUM
ajpdis-2494	66	27	)	)	PUNCT
ajpdis-2494	66	28	𝑆(𝑥	𝑆(𝑥	X
ajpdis-2494	66	29	)	)	PUNCT
ajpdis-2494	66	30	=	=	SYM
ajpdis-2494	66	31	exp[−ax	exp[−ax	NOUN
ajpdis-2494	66	32	−	−	NOUN
ajpdis-2494	66	33	hx2	hx2	NOUN
ajpdis-2494	66	34	2⁄	2⁄	NUM
ajpdis-2494	66	35	−	−	NOUN
ajpdis-2494	66	36	𝐵(𝑒𝛼𝑥	𝐵(𝑒𝛼𝑥	NOUN
ajpdis-2494	66	37	−	−	NOUN
ajpdis-2494	66	38	1	1	X
ajpdis-2494	66	39	)	)	PUNCT
ajpdis-2494	66	40	𝛼⁄	𝛼⁄	PROPN
ajpdis-2494	66	41	]	]	PUNCT
ajpdis-2494	66	42	makeham	makeham	PROPN
ajpdis-2494	66	43	model	model	NOUN
ajpdis-2494	66	44	2	2	NUM
ajpdis-2494	66	45	𝑆(𝑥	𝑆(𝑥	NOUN
ajpdis-2494	66	46	)	)	PUNCT
ajpdis-2494	66	47	=	=	SYM
ajpdis-2494	66	48	exp[−	exp[−	ADJ
ajpdis-2494	66	49	kx𝛽	kx𝛽	NOUN
ajpdis-2494	66	50	(	(	PUNCT
ajpdis-2494	66	51	⁄	⁄	PROPN
ajpdis-2494	66	52	𝛽)]weibull	𝛽)]weibull	ADJ
ajpdis-2494	66	53	model	model	NOUN
ajpdis-2494	66	54	𝑆(𝑥	𝑆(𝑥	NUM
ajpdis-2494	66	55	)	)	PUNCT
ajpdis-2494	66	56	=	=	NOUN
ajpdis-2494	66	57	exp[−(𝑥	exp[−(𝑥	PROPN
ajpdis-2494	66	58	𝛼⁄	𝛼⁄	NUM
ajpdis-2494	66	59	)	)	PUNCT
ajpdis-2494	66	60	𝛽(𝑥	𝛽(𝑥	PROPN
ajpdis-2494	66	61	)	)	PUNCT
ajpdis-2494	66	62	−	−	PROPN
ajpdis-2494	66	63	veon	veon	PROPN
ajpdis-2494	66	64	modeli	modeli	PROPN
ajpdis-2494	66	65	(	(	PUNCT
ajpdis-2494	66	66	2003	2003	NUM
ajpdis-2494	66	67	)	)	PUNCT
ajpdis-2494	66	68	life	life	NOUN
ajpdis-2494	66	69	expectancy	expectancy	NOUN
ajpdis-2494	66	70	functions	function	NOUN
ajpdis-2494	66	71	have	have	AUX
ajpdis-2494	66	72	been	be	AUX
ajpdis-2494	66	73	proposed	propose	VERB
ajpdis-2494	66	74	in	in	ADP
ajpdis-2494	66	75	various	various	ADJ
ajpdis-2494	66	76	forms	form	NOUN
ajpdis-2494	66	77	by	by	ADP
ajpdis-2494	66	78	perks	perk	NOUN
ajpdis-2494	66	79	(	(	PUNCT
ajpdis-2494	66	80	perks	perk	NOUN
ajpdis-2494	66	81	,	,	PUNCT
ajpdis-2494	66	82	1932	1932	NUM
ajpdis-2494	66	83	)	)	PUNCT
ajpdis-2494	66	84	,	,	PUNCT
ajpdis-2494	66	85	beard	beard	NOUN
ajpdis-2494	66	86	(	(	PUNCT
ajpdis-2494	66	87	beard	beard	ADJ
ajpdis-2494	66	88	,	,	PUNCT
ajpdis-2494	66	89	1959	1959	NUM
ajpdis-2494	66	90	-	-	SYM
ajpdis-2494	66	91	71	71	NUM
ajpdis-2494	66	92	)	)	PUNCT
ajpdis-2494	66	93	,	,	PUNCT
ajpdis-2494	66	94	vaupel	vaupel	NOUN
ajpdis-2494	66	95	(	(	PUNCT
ajpdis-2494	66	96	vaupel	vaupel	NOUN
ajpdis-2494	66	97	et	et	PROPN
ajpdis-2494	66	98	al	al	PROPN
ajpdis-2494	66	99	.	.	PROPN
ajpdis-2494	66	100	,	,	PUNCT
ajpdis-2494	66	101	1979	1979	NUM
ajpdis-2494	66	102	)	)	PUNCT
ajpdis-2494	66	103	,	,	PUNCT
ajpdis-2494	66	104	bras	bras	NOUN
ajpdis-2494	66	105	(	(	PUNCT
ajpdis-2494	66	106	le	le	X
ajpdis-2494	66	107	bras	bras	NOUN
ajpdis-2494	66	108	,	,	PUNCT
ajpdis-2494	66	109	1976	1976	NUM
ajpdis-2494	66	110	)	)	PUNCT
ajpdis-2494	66	111	and	and	CCONJ
ajpdis-2494	66	112	cannisto	cannisto	NOUN
ajpdis-2494	66	113	(	(	PUNCT
ajpdis-2494	66	114	cannisto	cannisto	NOUN
ajpdis-2494	66	115	,	,	PUNCT
ajpdis-2494	66	116	1992	1992	NUM
ajpdis-2494	66	117	)	)	PUNCT
ajpdis-2494	66	118	.	.	PUNCT
ajpdis-2494	67	1	proposed	propose	VERB
ajpdis-2494	67	2	models	model	NOUN
ajpdis-2494	67	3	[	[	X
ajpdis-2494	67	4	1	1	NUM
ajpdis-2494	67	5	]	]	PUNCT
ajpdis-2494	67	6	.	.	PUNCT
ajpdis-2494	68	1	discussion	discussion	NOUN
ajpdis-2494	68	2	and	and	CCONJ
ajpdis-2494	68	3	results	result	NOUN
ajpdis-2494	68	4	.	.	PUNCT
ajpdis-2494	69	1	we	we	PRON
ajpdis-2494	69	2	model	model	VERB
ajpdis-2494	69	3	the	the	DET
ajpdis-2494	69	4	distribution	distribution	NOUN
ajpdis-2494	69	5	of	of	ADP
ajpdis-2494	69	6	random	random	ADJ
ajpdis-2494	69	7	variable	variable	ADJ
ajpdis-2494	69	8	life	life	NOUN
ajpdis-2494	69	9	expectancy	expectancy	NOUN
ajpdis-2494	69	10	x	x	PUNCT
ajpdis-2494	69	11	on	on	ADP
ajpdis-2494	69	12	the	the	DET
ajpdis-2494	69	13	basis	basis	NOUN
ajpdis-2494	69	14	of	of	ADP
ajpdis-2494	69	15	life	life	NOUN
ajpdis-2494	69	16	expectancy	expectancy	NOUN
ajpdis-2494	69	17	tables	table	NOUN
ajpdis-2494	69	18	compiled	compile	VERB
ajpdis-2494	69	19	for	for	ADP
ajpdis-2494	69	20	the	the	DET
ajpdis-2494	69	21	general	general	ADJ
ajpdis-2494	69	22	population	population	NOUN
ajpdis-2494	69	23	of	of	ADP
ajpdis-2494	69	24	uzbekistan	uzbekistan	PROPN
ajpdis-2494	69	25	(	(	PUNCT
ajpdis-2494	69	26	men	man	NOUN
ajpdis-2494	69	27	and	and	CCONJ
ajpdis-2494	69	28	women	woman	NOUN
ajpdis-2494	69	29	)	)	PUNCT
ajpdis-2494	69	30	.	.	PUNCT
ajpdis-2494	70	1	in	in	ADP
ajpdis-2494	70	2	this	this	DET
ajpdis-2494	70	3	case	case	NOUN
ajpdis-2494	70	4	,	,	PUNCT
ajpdis-2494	70	5	it	it	PRON
ajpdis-2494	70	6	is	be	AUX
ajpdis-2494	70	7	taken	take	VERB
ajpdis-2494	70	8	as	as	ADP
ajpdis-2494	70	9	a=100	a=100	NOUN
ajpdis-2494	70	10	.	.	PUNCT
ajpdis-2494	71	1	in	in	ADP
ajpdis-2494	71	2	cases	case	NOUN
ajpdis-2494	71	3	where	where	SCONJ
ajpdis-2494	71	4	it	it	PRON
ajpdis-2494	71	5	is	be	AUX
ajpdis-2494	71	6	a	a	DET
ajpdis-2494	71	7	constant	constant	ADJ
ajpdis-2494	71	8	and	and	CCONJ
ajpdis-2494	71	9	a	a	DET
ajpdis-2494	71	10	function	function	NOUN
ajpdis-2494	71	11	of	of	ADP
ajpdis-2494	71	12	time	time	NOUN
ajpdis-2494	71	13	,	,	PUNCT
ajpdis-2494	71	14	the	the	DET
ajpdis-2494	71	15	parameter	parameter	NOUN
ajpdis-2494	71	16	b	b	PROPN
ajpdis-2494	71	17	is	be	AUX
ajpdis-2494	71	18	considered	consider	VERB
ajpdis-2494	71	19	separately	separately	ADV
ajpdis-2494	71	20	.	.	PUNCT
ajpdis-2494	72	1	http://www/	http://www/	X
ajpdis-2494	72	2	732	732	NUM
ajpdis-2494	72	3	american	american	ADJ
ajpdis-2494	72	4	journal	journal	PROPN
ajpdis-2494	72	5	of	of	ADP
ajpdis-2494	72	6	public	public	ADJ
ajpdis-2494	72	7	diplomacy	diplomacy	NOUN
ajpdis-2494	72	8	and	and	CCONJ
ajpdis-2494	72	9	international	international	ADJ
ajpdis-2494	72	10	studies	study	NOUN
ajpdis-2494	72	11	www	www	PROPN
ajpdis-2494	72	12	.	.	PUNCT
ajpdis-2494	73	1	grnjournal.us	grnjournal.us	X
ajpdis-2494	73	2	in	in	ADP
ajpdis-2494	73	3	the	the	DET
ajpdis-2494	73	4	first	first	ADJ
ajpdis-2494	73	5	case	case	NOUN
ajpdis-2494	73	6	,	,	PUNCT
ajpdis-2494	73	7	𝛽≈0.445	𝛽≈0.445	PROPN
ajpdis-2494	73	8	.	.	PUNCT
ajpdis-2494	74	1	if	if	SCONJ
ajpdis-2494	74	2	is	be	AUX
ajpdis-2494	74	3	a	a	DET
ajpdis-2494	74	4	function	function	NOUN
ajpdis-2494	74	5	of	of	ADP
ajpdis-2494	74	6	time	time	NOUN
ajpdis-2494	74	7	,	,	PUNCT
ajpdis-2494	74	8	then	then	ADV
ajpdis-2494	74	9	the	the	DET
ajpdis-2494	74	10	corresponding	corresponding	ADJ
ajpdis-2494	74	11	curve	curve	NOUN
ajpdis-2494	74	12	is	be	AUX
ajpdis-2494	74	13	:	:	PUNCT
ajpdis-2494	74	14	𝛽	𝛽	NOUN
ajpdis-2494	74	15	𝛽𝑛(𝑥	𝛽𝑛(𝑥	NOUN
ajpdis-2494	74	16	)	)	PUNCT
ajpdis-2494	74	17	=	=	SYM
ajpdis-2494	74	18	-0.00000029𝑥5	-0.00000029𝑥5	X
ajpdis-2494	74	19	+	+	PUNCT
ajpdis-2494	74	20	0.0000674𝑥4	0.0000674𝑥4	NUM
ajpdis-2494	74	21	-	-	PUNCT
ajpdis-2494	74	22	0.00516𝑥3	0.00516𝑥3	NUM
ajpdis-2494	74	23	+	+	CCONJ
ajpdis-2494	74	24	0.1674𝑥2	0.1674𝑥2	NUM
ajpdis-2494	74	25	-	-	SYM
ajpdis-2494	74	26	2.197𝑥	2.197𝑥	ADJ
ajpdis-2494	74	27	+	+	CCONJ
ajpdis-2494	74	28	12.09	12.09	NUM
ajpdis-2494	74	29	𝑥	𝑥	NOUN
ajpdis-2494	74	30	+	+	NUM
ajpdis-2494	74	31	7.45923	7.45923	NUM
ajpdis-2494	74	32	where	where	SCONJ
ajpdis-2494	74	33	are	be	AUX
ajpdis-2494	74	34	the	the	DET
ajpdis-2494	74	35	corresponding	corresponding	ADJ
ajpdis-2494	74	36	coefficients	coefficient	NOUN
ajpdis-2494	74	37	of	of	ADP
ajpdis-2494	74	38	the	the	DET
ajpdis-2494	74	39	rational	rational	ADJ
ajpdis-2494	74	40	polynomial	polynomial	ADJ
ajpdis-2494	74	41	𝛽𝑛(𝑥	𝛽𝑛(𝑥	NOUN
ajpdis-2494	74	42	)	)	PUNCT
ajpdis-2494	74	43	found	find	VERB
ajpdis-2494	74	44	by	by	ADP
ajpdis-2494	74	45	the	the	DET
ajpdis-2494	74	46	method	method	NOUN
ajpdis-2494	74	47	of	of	ADP
ajpdis-2494	74	48	least	least	ADJ
ajpdis-2494	74	49	squares	square	NOUN
ajpdis-2494	74	50	.	.	PUNCT
ajpdis-2494	75	1	a	a	DET
ajpdis-2494	75	2	joint	joint	ADJ
ajpdis-2494	75	3	representation	representation	NOUN
ajpdis-2494	75	4	of	of	ADP
ajpdis-2494	75	5	the	the	DET
ajpdis-2494	75	6	corresponding	corresponding	ADJ
ajpdis-2494	75	7	analytical	analytical	ADJ
ajpdis-2494	75	8	model	model	NOUN
ajpdis-2494	75	9	and	and	CCONJ
ajpdis-2494	75	10	the	the	DET
ajpdis-2494	75	11	empirical	empirical	ADJ
ajpdis-2494	75	12	distribution	distribution	NOUN
ajpdis-2494	75	13	functions	function	NOUN
ajpdis-2494	75	14	of	of	ADP
ajpdis-2494	75	15	the	the	DET
ajpdis-2494	75	16	observations	observation	NOUN
ajpdis-2494	75	17	is	be	AUX
ajpdis-2494	75	18	as	as	SCONJ
ajpdis-2494	75	19	follows	follow	VERB
ajpdis-2494	75	20	(	(	PUNCT
ajpdis-2494	75	21	figure	figure	NOUN
ajpdis-2494	75	22	1	1	NUM
ajpdis-2494	75	23	)	)	PUNCT
ajpdis-2494	75	24	.	.	PUNCT
ajpdis-2494	76	1	figure	figure	NOUN
ajpdis-2494	76	2	1	1	NUM
ajpdis-2494	76	3	.	.	PUNCT
ajpdis-2494	77	1	joint	joint	ADJ
ajpdis-2494	77	2	plot	plot	NOUN
ajpdis-2494	77	3	of	of	ADP
ajpdis-2494	77	4	the	the	DET
ajpdis-2494	77	5	constructed	construct	VERB
ajpdis-2494	77	6	model	model	NOUN
ajpdis-2494	77	7	and	and	CCONJ
ajpdis-2494	77	8	empirical	empirical	ADJ
ajpdis-2494	77	9	life	life	NOUN
ajpdis-2494	77	10	expectancy	expectancy	NOUN
ajpdis-2494	77	11	distribution	distribution	NOUN
ajpdis-2494	77	12	function	function	NOUN
ajpdis-2494	77	13	.	.	PUNCT
ajpdis-2494	78	1	figure	figure	NOUN
ajpdis-2494	78	2	2	2	NUM
ajpdis-2494	78	3	.	.	PUNCT
ajpdis-2494	78	4	combined	combine	VERB
ajpdis-2494	78	5	observation	observation	NOUN
ajpdis-2494	78	6	histogram	histogram	NOUN
ajpdis-2494	78	7	and	and	CCONJ
ajpdis-2494	78	8	model	model	NOUN
ajpdis-2494	78	9	density	density	NOUN
ajpdis-2494	78	10	plot	plot	NOUN
ajpdis-2494	78	11	.	.	PUNCT
ajpdis-2494	79	1	conclusion	conclusion	NOUN
ajpdis-2494	79	2	.	.	PUNCT
ajpdis-2494	80	1	actuarial	actuarial	ADJ
ajpdis-2494	80	2	-	-	PUNCT
ajpdis-2494	80	3	friendly	friendly	ADJ
ajpdis-2494	80	4	life	life	NOUN
ajpdis-2494	80	5	expectancy	expectancy	NOUN
ajpdis-2494	80	6	functions	function	NOUN
ajpdis-2494	80	7	provide	provide	VERB
ajpdis-2494	80	8	solutions	solution	NOUN
ajpdis-2494	80	9	to	to	ADP
ajpdis-2494	80	10	a	a	DET
ajpdis-2494	80	11	wide	wide	ADJ
ajpdis-2494	80	12	range	range	NOUN
ajpdis-2494	80	13	of	of	ADP
ajpdis-2494	80	14	problems	problem	NOUN
ajpdis-2494	80	15	in	in	ADP
ajpdis-2494	80	16	life	life	NOUN
ajpdis-2494	80	17	insurance	insurance	NOUN
ajpdis-2494	80	18	calculations	calculation	NOUN
ajpdis-2494	80	19	.	.	PUNCT
ajpdis-2494	81	1	this	this	PRON
ajpdis-2494	81	2	is	be	AUX
ajpdis-2494	81	3	much	much	ADV
ajpdis-2494	81	4	more	more	ADV
ajpdis-2494	81	5	convenient	convenient	ADJ
ajpdis-2494	81	6	than	than	ADP
ajpdis-2494	81	7	life	life	NOUN
ajpdis-2494	81	8	duration	duration	NOUN
ajpdis-2494	81	9	tables	table	NOUN
ajpdis-2494	81	10	.	.	PUNCT
ajpdis-2494	82	1	tle	tle	NOUN
ajpdis-2494	82	2	can	can	AUX
ajpdis-2494	82	3	not	not	PART
ajpdis-2494	82	4	be	be	AUX
ajpdis-2494	82	5	used	use	VERB
ajpdis-2494	82	6	http://www/	http://www/	PUNCT
ajpdis-2494	82	7	733	733	NUM
ajpdis-2494	82	8	american	american	PROPN
ajpdis-2494	82	9	journal	journal	PROPN
ajpdis-2494	82	10	of	of	ADP
ajpdis-2494	82	11	public	public	ADJ
ajpdis-2494	82	12	diplomacy	diplomacy	NOUN
ajpdis-2494	82	13	and	and	CCONJ
ajpdis-2494	82	14	international	international	ADJ
ajpdis-2494	82	15	studies	study	NOUN
ajpdis-2494	82	16	www	www	PROPN
ajpdis-2494	82	17	.	.	PUNCT
ajpdis-2494	83	1	grnjournal.us	grnjournal.us	X
ajpdis-2494	83	2	directly	directly	ADV
ajpdis-2494	83	3	in	in	ADP
ajpdis-2494	83	4	calculations	calculation	NOUN
ajpdis-2494	83	5	involving	involve	VERB
ajpdis-2494	83	6	non	non	ADJ
ajpdis-2494	83	7	-	-	ADJ
ajpdis-2494	83	8	integer	integer	ADJ
ajpdis-2494	83	9	values	value	NOUN
ajpdis-2494	83	10	of	of	ADP
ajpdis-2494	83	11	a	a	DET
ajpdis-2494	83	12	person	person	NOUN
ajpdis-2494	83	13	's	's	PART
ajpdis-2494	83	14	age	age	NOUN
ajpdis-2494	83	15	.	.	PUNCT
ajpdis-2494	84	1	for	for	ADP
ajpdis-2494	84	2	this	this	DET
ajpdis-2494	84	3	reason	reason	NOUN
ajpdis-2494	84	4	,	,	PUNCT
ajpdis-2494	84	5	it	it	PRON
ajpdis-2494	84	6	is	be	AUX
ajpdis-2494	84	7	important	important	ADJ
ajpdis-2494	84	8	to	to	PART
ajpdis-2494	84	9	construct	construct	VERB
ajpdis-2494	84	10	lifetime	lifetime	NOUN
ajpdis-2494	84	11	functions	function	NOUN
ajpdis-2494	84	12	.	.	PUNCT
ajpdis-2494	85	1	through	through	ADP
ajpdis-2494	85	2	the	the	DET
ajpdis-2494	85	3	above	above	ADJ
ajpdis-2494	85	4	results	result	NOUN
ajpdis-2494	85	5	,	,	PUNCT
ajpdis-2494	85	6	it	it	PRON
ajpdis-2494	85	7	is	be	AUX
ajpdis-2494	85	8	possible	possible	ADJ
ajpdis-2494	85	9	to	to	PART
ajpdis-2494	85	10	use	use	VERB
ajpdis-2494	85	11	this	this	DET
ajpdis-2494	85	12	model	model	NOUN
ajpdis-2494	85	13	not	not	PART
ajpdis-2494	85	14	only	only	ADV
ajpdis-2494	85	15	in	in	ADP
ajpdis-2494	85	16	economics	economic	NOUN
ajpdis-2494	85	17	and	and	CCONJ
ajpdis-2494	85	18	mathematics	mathematic	NOUN
ajpdis-2494	85	19	,	,	PUNCT
ajpdis-2494	85	20	but	but	CCONJ
ajpdis-2494	85	21	also	also	ADV
ajpdis-2494	85	22	in	in	ADP
ajpdis-2494	85	23	demography	demography	NOUN
ajpdis-2494	85	24	and	and	CCONJ
ajpdis-2494	85	25	biology	biology	NOUN
ajpdis-2494	85	26	.	.	PUNCT
ajpdis-2494	86	1	life	life	NOUN
ajpdis-2494	86	2	expectancy	expectancy	NOUN
ajpdis-2494	86	3	curves	curve	NOUN
ajpdis-2494	86	4	are	be	AUX
ajpdis-2494	86	5	of	of	ADP
ajpdis-2494	86	6	great	great	ADJ
ajpdis-2494	86	7	importance	importance	NOUN
ajpdis-2494	86	8	in	in	ADP
ajpdis-2494	86	9	finding	find	VERB
ajpdis-2494	86	10	an	an	DET
ajpdis-2494	86	11	adequate	adequate	ADJ
ajpdis-2494	86	12	model	model	NOUN
ajpdis-2494	86	13	,	,	PUNCT
ajpdis-2494	86	14	as	as	SCONJ
ajpdis-2494	86	15	they	they	PRON
ajpdis-2494	86	16	provide	provide	VERB
ajpdis-2494	86	17	a	a	DET
ajpdis-2494	86	18	general	general	ADJ
ajpdis-2494	86	19	description	description	NOUN
ajpdis-2494	86	20	of	of	ADP
ajpdis-2494	86	21	the	the	DET
ajpdis-2494	86	22	decline	decline	NOUN
ajpdis-2494	86	23	of	of	ADP
ajpdis-2494	86	24	a	a	DET
ajpdis-2494	86	25	given	give	VERB
ajpdis-2494	86	26	set	set	NOUN
ajpdis-2494	86	27	of	of	ADP
ajpdis-2494	86	28	population	population	NOUN
ajpdis-2494	86	29	observations	observation	NOUN
ajpdis-2494	86	30	.	.	PUNCT
ajpdis-2494	87	1	list	list	NOUN
ajpdis-2494	87	2	of	of	ADP
ajpdis-2494	87	3	references	reference	NOUN
ajpdis-2494	87	4	1	1	NUM
ajpdis-2494	87	5	.	.	PUNCT
ajpdis-2494	88	1	bowers	bower	NOUN
ajpdis-2494	88	2	n.	n.	PROPN
ajpdis-2494	88	3	,	,	PUNCT
ajpdis-2494	88	4	gerber	gerber	PROPN
ajpdis-2494	88	5	h.	h.	PROPN
ajpdis-2494	88	6	,	,	PUNCT
ajpdis-2494	88	7	hickman	hickman	PROPN
ajpdis-2494	88	8	j.	j.	PROPN
ajpdis-2494	88	9	,	,	PUNCT
ajpdis-2494	88	10	jones	jones	PROPN
ajpdis-2494	88	11	d.	d.	PROPN
ajpdis-2494	88	12	,	,	PUNCT
ajpdis-2494	88	13	nesbit	nesbit	PROPN
ajpdis-2494	88	14	c.	c.	PROPN
ajpdis-2494	88	15	actuarial	actuarial	ADJ
ajpdis-2494	88	16	mathematics	mathematic	NOUN
ajpdis-2494	88	17	.	.	PUNCT
ajpdis-2494	89	1	-itasca	-itasca	PROPN
ajpdis-2494	89	2	,	,	PUNCT
ajpdis-2494	89	3	il	il	PROPN
ajpdis-2494	89	4	:	:	PUNCT
ajpdis-2494	89	5	the	the	DET
ajpdis-2494	89	6	society	society	NOUN
ajpdis-2494	89	7	of	of	ADP
ajpdis-2494	89	8	actuaries	actuary	NOUN
ajpdis-2494	89	9	,	,	PUNCT
ajpdis-2494	89	10	1986	1986	NUM
ajpdis-2494	89	11	,	,	PUNCT
ajpdis-2494	89	12	-624p	-624p	ADP
ajpdis-2494	89	13	2	2	NUM
ajpdis-2494	89	14	.	.	PUNCT
ajpdis-2494	89	15	devroy	devroy	PROPN
ajpdis-2494	89	16	l.	l.	PROPN
ajpdis-2494	89	17	,	,	PUNCT
ajpdis-2494	89	18	dorfi	dorfi	PROPN
ajpdis-2494	89	19	l.	l.	PROPN
ajpdis-2494	89	20	non	non	ADJ
ajpdis-2494	89	21	-	-	ADJ
ajpdis-2494	89	22	parametric	parametric	ADJ
ajpdis-2494	89	23	plotting	plotting	NOUN
ajpdis-2494	89	24	.	.	PUNCT
ajpdis-2494	90	1	l1	l1	PROPN
ajpdis-2494	90	2	-	-	PUNCT
ajpdis-2494	90	3	podkhod	podkhod	NOUN
ajpdis-2494	90	4	.	.	PUNCT
ajpdis-2494	91	1	m.	m.	NOUN
ajpdis-2494	91	2	:	:	PUNCT
ajpdis-2494	91	3	"	"	PUNCT
ajpdis-2494	91	4	mir",1988	mir",1988	PROPN
ajpdis-2494	91	5	.	.	PUNCT
ajpdis-2494	91	6	,	,	PUNCT
ajpdis-2494	92	1	-408	-408	PROPN
ajpdis-2494	92	2	str	str	NOUN
ajpdis-2494	92	3	.	.	PUNCT
ajpdis-2494	93	1	3	3	X
ajpdis-2494	93	2	.	.	X
ajpdis-2494	93	3	slud	slud	PROPN
ajpdis-2494	93	4	ev	ev	ADP
ajpdis-2494	93	5	actuarial	actuarial	ADJ
ajpdis-2494	93	6	mathematics	mathematic	NOUN
ajpdis-2494	93	7	and	and	CCONJ
ajpdis-2494	93	8	life	life	NOUN
ajpdis-2494	93	9	-	-	PUNCT
ajpdis-2494	93	10	table	table	NOUN
ajpdis-2494	93	11	statistics	statistic	NOUN
ajpdis-2494	93	12	.	.	PUNCT
ajpdis-2494	94	1	internet	internet	NOUN
ajpdis-2494	94	2	ebook	ebook	NOUN
ajpdis-2494	94	3	4	4	NUM
ajpdis-2494	94	4	.	.	PUNCT
ajpdis-2494	94	5	.	.	PUNCT
ajpdis-2494	95	1	borovkov	borovkov	PROPN
ajpdis-2494	95	2	a.a	a.a	PROPN
ajpdis-2494	95	3	.	.	PROPN
ajpdis-2494	96	1	the	the	DET
ajpdis-2494	96	2	theory	theory	NOUN
ajpdis-2494	96	3	is	be	AUX
ajpdis-2494	96	4	probable	probable	ADJ
ajpdis-2494	96	5	.	.	PUNCT
ajpdis-2494	97	1	2	2	NUM
ajpdis-2494	97	2	-	-	SYM
ajpdis-2494	97	3	e	e	NOUN
ajpdis-2494	97	4	izd	izd	PROPN
ajpdis-2494	97	5	.	.	PROPN
ajpdis-2494	97	6	,	,	PUNCT
ajpdis-2494	97	7	pererab	pererab	NOUN
ajpdis-2494	97	8	.	.	PUNCT
ajpdis-2494	98	1	i	i	PRON
ajpdis-2494	98	2	dop	dop	VERB
ajpdis-2494	98	3	.	.	PUNCT
ajpdis-2494	99	1	m.	m.	NOUN
ajpdis-2494	99	2	:	:	PUNCT
ajpdis-2494	99	3	"	"	PUNCT
ajpdis-2494	99	4	nauka".1986	nauka".1986	PROPN
ajpdis-2494	99	5	g.	g.	NOUN
ajpdis-2494	99	6	,	,	PUNCT
ajpdis-2494	99	7	-432	-432	PROPN
ajpdis-2494	99	8	str	str	NOUN
ajpdis-2494	99	9	.	.	PUNCT
ajpdis-2494	100	1	5	5	X
ajpdis-2494	100	2	.	.	X
ajpdis-2494	100	3	gavrilov	gavrilov	PROPN
ajpdis-2494	100	4	l.a	l.a	PROPN
ajpdis-2494	100	5	.	.	PROPN
ajpdis-2494	100	6	,	,	PUNCT
ajpdis-2494	100	7	gavrilova	gavrilova	PROPN
ajpdis-2494	100	8	n.s	n.s	PROPN
ajpdis-2494	100	9	.	.	PROPN
ajpdis-2494	100	10	biology	biology	NOUN
ajpdis-2494	100	11	prodolzhitelnosti	prodolzhitelnosti	NOUN
ajpdis-2494	100	12	jizni	jizni	NOUN
ajpdis-2494	100	13	.	.	PUNCT
ajpdis-2494	101	1	2	2	NUM
ajpdis-2494	101	2	-	-	SYM
ajpdis-2494	101	3	e	e	NOUN
ajpdis-2494	101	4	izd	izd	PROPN
ajpdis-2494	101	5	.	.	PUNCT
ajpdis-2494	101	6	m.	m.	NOUN
ajpdis-2494	101	7	:	:	PUNCT
ajpdis-2494	101	8	"	"	PUNCT
ajpdis-2494	101	9	nauka",1991	nauka",1991	NOUN
ajpdis-2494	101	10	.	.	PROPN
ajpdis-2494	101	11	,	,	PUNCT
ajpdis-2494	101	12	280	280	NUM
ajpdis-2494	101	13	str	str	NOUN
ajpdis-2494	101	14	.	.	PUNCT
ajpdis-2494	102	1	6	6	NUM
ajpdis-2494	102	2	.	.	X
ajpdis-2494	102	3	gerber	gerber	PROPN
ajpdis-2494	102	4	h.	h.	PROPN
ajpdis-2494	102	5	mathematics	mathematics	PROPN
ajpdis-2494	102	6	strashovaniya	strashovaniya	PROPN
ajpdis-2494	102	7	jizni	jizni	PROPN
ajpdis-2494	102	8	.	.	PUNCT
ajpdis-2494	103	1	m.	m.	NOUN
ajpdis-2494	103	2	:	:	PUNCT
ajpdis-2494	103	3	"	"	PUNCT
ajpdis-2494	103	4	mir",1995	mir",1995	PROPN
ajpdis-2494	103	5	g.	g.	PROPN
ajpdis-2494	103	6	,	,	PUNCT
ajpdis-2494	103	7	-154	-154	PROPN
ajpdis-2494	103	8	str	str	NOUN
ajpdis-2494	103	9	.	.	PUNCT
ajpdis-2494	104	1	7	7	X
ajpdis-2494	104	2	.	.	X
ajpdis-2494	104	3	kasimov	kasimov	PROPN
ajpdis-2494	104	4	yu.f	yu.f	PROPN
ajpdis-2494	104	5	.	.	PROPN
ajpdis-2494	105	1	introduction	introduction	NOUN
ajpdis-2494	105	2	to	to	ADP
ajpdis-2494	105	3	actuarial	actuarial	ADJ
ajpdis-2494	105	4	mathematics	mathematic	NOUN
ajpdis-2494	105	5	.	.	PUNCT
ajpdis-2494	106	1	strakhovanie	strakhovanie	NOUN
ajpdis-2494	106	2	jizni	jizni	VERB
ajpdis-2494	106	3	i	i	PRON
ajpdis-2494	106	4	pensionnyx	pensionnyx	VERB
ajpdis-2494	106	5	scheme	scheme	NOUN
ajpdis-2494	106	6	.	.	PUNCT
ajpdis-2494	107	1	m.	m.	NOUN
ajpdis-2494	107	2	:	:	PUNCT
ajpdis-2494	107	3	"	"	PUNCT
ajpdis-2494	107	4	ankil",2001	ankil",2001	PROPN
ajpdis-2494	107	5	.	.	PROPN
ajpdis-2494	107	6	,	,	PUNCT
ajpdis-2494	107	7	-172	-172	PROPN
ajpdis-2494	107	8	str	str	NOUN
ajpdis-2494	107	9	.	.	PUNCT
ajpdis-2494	108	1	8	8	X
ajpdis-2494	108	2	.	.	PUNCT
ajpdis-2494	108	3	abdushukurov	abdushukurov	PROPN
ajpdis-2494	108	4	a.	a.	PROPN
ajpdis-2494	108	5	,	,	PUNCT
ajpdis-2494	108	6	hamidov	hamidov	PROPN
ajpdis-2494	108	7	r.	r.	PROPN
ajpdis-2494	108	8	on	on	ADP
ajpdis-2494	108	9	a	a	DET
ajpdis-2494	108	10	new	new	ADJ
ajpdis-2494	108	11	model	model	NOUN
ajpdis-2494	108	12	of	of	ADP
ajpdis-2494	108	13	mortality	mortality	NOUN
ajpdis-2494	108	14	.	.	PUNCT
ajpdis-2494	109	1	proceed	proceed	VERB
ajpdis-2494	109	2	.	.	PUNCT
ajpdis-2494	110	1	of	of	ADP
ajpdis-2494	110	2	annual	annual	ADJ
ajpdis-2494	110	3	world	world	NOUN
ajpdis-2494	110	4	conf	conf	NOUN
ajpdis-2494	110	5	.	.	PUNCT
ajpdis-2494	111	1	"	"	PUNCT
ajpdis-2494	111	2	financial	financial	ADJ
ajpdis-2494	111	3	and	and	CCONJ
ajpdis-2494	111	4	actuarial	actuarial	ADJ
ajpdis-2494	111	5	mathematics	mathematic	NOUN
ajpdis-2494	111	6	"	"	PUNCT
ajpdis-2494	111	7	.	.	PUNCT
ajpdis-2494	112	1	krasnoyarsk	krasnoyarsk	PROPN
ajpdis-2494	112	2	:	:	PUNCT
ajpdis-2494	113	1	kstei	kstei	NOUN
ajpdis-2494	113	2	,	,	PUNCT
ajpdis-2494	113	3	p.3	p.3	NOUN
ajpdis-2494	113	4	,	,	PUNCT
ajpdis-2494	113	5	2009	2009	NUM
ajpdis-2494	113	6	.	.	PUNCT
ajpdis-2494	114	1	9	9	X
ajpdis-2494	114	2	.	.	X
ajpdis-2494	114	3	kendall	kendall	PROPN
ajpdis-2494	114	4	m.	m.	PROPN
ajpdis-2494	114	5	dj	dj	PROPN
ajpdis-2494	114	6	,	,	PUNCT
ajpdis-2494	114	7	stuart	stuart	PROPN
ajpdis-2494	114	8	a.	a.	PROPN
ajpdis-2494	114	9	the	the	DET
ajpdis-2494	114	10	theory	theory	NOUN
ajpdis-2494	114	11	is	be	AUX
ajpdis-2494	114	12	raspredeleny	raspredeleny	ADJ
ajpdis-2494	114	13	.	.	PUNCT
ajpdis-2494	115	1	m.	m.	NOUN
ajpdis-2494	115	2	:	:	PUNCT
ajpdis-2494	115	3	"	"	PUNCT
ajpdis-2494	115	4	nauka",1966	nauka",1966	NUM
ajpdis-2494	115	5	g.	g.	NOUN
ajpdis-2494	115	6	,	,	PUNCT
ajpdis-2494	115	7	-587	-587	PROPN
ajpdis-2494	115	8	str	str	NOUN
ajpdis-2494	115	9	.	.	PUNCT
ajpdis-2494	115	10	http://www/	http://www/	X