id	sid	tid	token	lemma	pos
iajs-2709	1	1	116	116	NUM
iajs-2709	1	2	bayesian	bayesian	NOUN
iajs-2709	1	3	estimation	estimation	NOUN
iajs-2709	1	4	for	for	ADP
iajs-2709	1	5	two	two	NUM
iajs-2709	1	6	parameters	parameter	NOUN
iajs-2709	1	7	of	of	ADP
iajs-2709	1	8	weibull	weibull	NOUN
iajs-2709	1	9	distribution	distribution	NOUN
iajs-2709	1	10	under	under	ADP
iajs-2709	1	11	generalized	generalize	VERB
iajs-2709	1	12	weighted	weight	VERB
iajs-2709	1	13	loss	loss	NOUN
iajs-2709	1	14	function	function	NOUN
iajs-2709	1	15	abstract	abstract	NOUN
iajs-2709	1	16	in	in	ADP
iajs-2709	1	17	this	this	DET
iajs-2709	1	18	paper	paper	NOUN
iajs-2709	1	19	,	,	PUNCT
iajs-2709	1	20	bayes	bayes	PROPN
iajs-2709	1	21	estimators	estimator	NOUN
iajs-2709	1	22	for	for	ADP
iajs-2709	1	23	the	the	DET
iajs-2709	1	24	shape	shape	NOUN
iajs-2709	1	25	and	and	CCONJ
iajs-2709	1	26	scale	scale	NOUN
iajs-2709	1	27	parameters	parameter	NOUN
iajs-2709	1	28	of	of	ADP
iajs-2709	1	29	weibull	weibull	NOUN
iajs-2709	1	30	distribution	distribution	NOUN
iajs-2709	1	31	have	have	AUX
iajs-2709	1	32	been	be	AUX
iajs-2709	1	33	obtained	obtain	VERB
iajs-2709	1	34	using	use	VERB
iajs-2709	1	35	the	the	DET
iajs-2709	1	36	generalized	generalize	VERB
iajs-2709	1	37	weighted	weight	VERB
iajs-2709	1	38	loss	loss	NOUN
iajs-2709	1	39	function	function	NOUN
iajs-2709	1	40	,	,	PUNCT
iajs-2709	1	41	based	base	VERB
iajs-2709	1	42	on	on	ADP
iajs-2709	1	43	exponential	exponential	ADJ
iajs-2709	1	44	priors	prior	NOUN
iajs-2709	1	45	.	.	PUNCT
iajs-2709	2	1	lindley	lindley	PROPN
iajs-2709	2	2	’s	’s	PART
iajs-2709	2	3	approximation	approximation	NOUN
iajs-2709	2	4	has	have	AUX
iajs-2709	2	5	been	be	AUX
iajs-2709	2	6	used	use	VERB
iajs-2709	2	7	effectively	effectively	ADV
iajs-2709	2	8	in	in	ADP
iajs-2709	2	9	bayesian	bayesian	NOUN
iajs-2709	2	10	estimation	estimation	NOUN
iajs-2709	2	11	.	.	PUNCT
iajs-2709	3	1	based	base	VERB
iajs-2709	3	2	on	on	ADP
iajs-2709	3	3	themonte	themonte	PROPN
iajs-2709	3	4	carlo	carlo	PROPN
iajs-2709	3	5	simulation	simulation	PROPN
iajs-2709	3	6	method	method	PROPN
iajs-2709	3	7	,	,	PUNCT
iajs-2709	3	8	those	those	DET
iajs-2709	3	9	estimators	estimator	NOUN
iajs-2709	3	10	are	be	AUX
iajs-2709	3	11	compared	compare	VERB
iajs-2709	3	12	depending	depend	VERB
iajs-2709	3	13	on	on	ADP
iajs-2709	3	14	the	the	DET
iajs-2709	3	15	mean	mean	ADJ
iajs-2709	3	16	squared	square	VERB
iajs-2709	3	17	errors	error	NOUN
iajs-2709	3	18	(	(	PUNCT
iajs-2709	3	19	mse	mse	PROPN
iajs-2709	3	20	’s	’s	PART
iajs-2709	3	21	)	)	PUNCT
iajs-2709	3	22	.	.	PUNCT
iajs-2709	4	1	keywords	keyword	NOUN
iajs-2709	4	2	:	:	PUNCT
iajs-2709	4	3	weibull	weibull	NOUN
iajs-2709	4	4	distribution	distribution	NOUN
iajs-2709	4	5	;	;	PUNCT
iajs-2709	4	6	bayesian	bayesian	NOUN
iajs-2709	4	7	estimation	estimation	NOUN
iajs-2709	4	8	;	;	PUNCT
iajs-2709	4	9	exponential	exponential	NOUN
iajs-2709	4	10	prior	prior	NOUN
iajs-2709	4	11	;	;	PUNCT
iajs-2709	4	12	generalized	generalize	VERB
iajs-2709	4	13	weighted	weight	VERB
iajs-2709	4	14	loss	loss	NOUN
iajs-2709	4	15	function	function	NOUN
iajs-2709	4	16	;	;	PUNCT
iajs-2709	4	17	lindley	lindley	PROPN
iajs-2709	4	18	’s	’s	PART
iajs-2709	4	19	approximation	approximation	NOUN
iajs-2709	4	20	.	.	PUNCT
iajs-2709	5	1	1.introduction	1.introduction	NUM
iajs-2709	5	2	the	the	DET
iajs-2709	5	3	weibull	weibull	PROPN
iajs-2709	5	4	distribution	distribution	NOUN
iajs-2709	5	5	is	be	AUX
iajs-2709	5	6	a	a	DET
iajs-2709	5	7	continuous	continuous	ADJ
iajs-2709	5	8	,	,	PUNCT
iajs-2709	5	9	it	it	PRON
iajs-2709	5	10	is	be	AUX
iajs-2709	5	11	one	one	NUM
iajs-2709	5	12	of	of	ADP
iajs-2709	5	13	the	the	DET
iajs-2709	5	14	best	well	ADV
iajs-2709	5	15	-	-	PUNCT
iajs-2709	5	16	known	know	VERB
iajs-2709	5	17	lifetime	lifetime	NOUN
iajs-2709	5	18	distributions	distribution	NOUN
iajs-2709	5	19	.	.	PUNCT
iajs-2709	6	1	it	it	PRON
iajs-2709	6	2	is	be	AUX
iajs-2709	6	3	widely	widely	ADV
iajs-2709	6	4	used	use	VERB
iajs-2709	6	5	in	in	ADP
iajs-2709	6	6	reliability	reliability	NOUN
iajs-2709	6	7	,	,	PUNCT
iajs-2709	6	8	quality	quality	NOUN
iajs-2709	6	9	control	control	NOUN
iajs-2709	6	10	,	,	PUNCT
iajs-2709	6	11	weather	weather	NOUN
iajs-2709	6	12	forecasting	forecasting	NOUN
iajs-2709	6	13	and	and	CCONJ
iajs-2709	6	14	used	use	VERB
iajs-2709	6	15	to	to	PART
iajs-2709	6	16	describe	describe	VERB
iajs-2709	6	17	different	different	ADJ
iajs-2709	6	18	types	type	NOUN
iajs-2709	6	19	of	of	ADP
iajs-2709	6	20	observed	observe	VERB
iajs-2709	6	21	failures	failure	NOUN
iajs-2709	6	22	of	of	ADP
iajs-2709	6	23	components	component	NOUN
iajs-2709	6	24	and	and	CCONJ
iajs-2709	6	25	phenomena	phenomenon	NOUN
iajs-2709	6	26	[	[	X
iajs-2709	6	27	1	1	NUM
iajs-2709	6	28	]	]	PUNCT
iajs-2709	6	29	.	.	PUNCT
iajs-2709	7	1	this	this	DET
iajs-2709	7	2	distribution	distribution	NOUN
iajs-2709	7	3	is	be	AUX
iajs-2709	7	4	named	name	VERB
iajs-2709	7	5	after	after	ADP
iajs-2709	7	6	wal	wal	PROPN
iajs-2709	7	7	oddi	oddi	PROPN
iajs-2709	7	8	weibull	weibull	PROPN
iajs-2709	7	9	who	who	PRON
iajs-2709	7	10	described	describe	VERB
iajs-2709	7	11	it	it	PRON
iajs-2709	7	12	in	in	ADP
iajs-2709	7	13	details	detail	NOUN
iajs-2709	7	14	in	in	ADP
iajs-2709	7	15	1951	1951	NUM
iajs-2709	7	16	.	.	PUNCT
iajs-2709	8	1	there	there	PRON
iajs-2709	8	2	are	be	VERB
iajs-2709	8	3	some	some	DET
iajs-2709	8	4	recent	recent	ADJ
iajs-2709	8	5	works	work	NOUN
iajs-2709	8	6	and	and	CCONJ
iajs-2709	8	7	literature	literature	NOUN
iajs-2709	8	8	of	of	ADP
iajs-2709	8	9	weibull	weibull	PROPN
iajs-2709	8	10	distribution	distribution	NOUN
iajs-2709	8	11	:	:	PUNCT
iajs-2709	8	12	xie	xie	PROPN
iajs-2709	8	13	et	et	PROPN
iajs-2709	8	14	al	al	PROPN
iajs-2709	8	15	.	.	PROPN
iajs-2709	9	1	(	(	PUNCT
iajs-2709	9	2	2002	2002	NUM
iajs-2709	9	3	)	)	PUNCT
iajs-2709	9	4	suggested	suggest	VERB
iajs-2709	9	5	the	the	DET
iajs-2709	9	6	three	three	NUM
iajs-2709	9	7	parameters	parameter	NOUN
iajs-2709	9	8	of	of	ADP
iajs-2709	9	9	modified	modify	VERB
iajs-2709	9	10	weibull	weibull	NOUN
iajs-2709	9	11	distribution	distribution	NOUN
iajs-2709	9	12	with	with	ADP
iajs-2709	9	13	a	a	DET
iajs-2709	9	14	hazard	hazard	NOUN
iajs-2709	9	15	function	function	NOUN
iajs-2709	9	16	fashioned	fashion	VERB
iajs-2709	9	17	like	like	ADP
iajs-2709	9	18	a	a	DET
iajs-2709	9	19	bathtub	bathtub	NOUN
iajs-2709	10	1	[	[	X
iajs-2709	10	2	2	2	NUM
iajs-2709	10	3	-	-	SYM
iajs-2709	10	4	3	3	NUM
iajs-2709	10	5	]	]	PUNCT
iajs-2709	10	6	recommend	recommend	VERB
iajs-2709	10	7	the	the	DET
iajs-2709	10	8	maximum	maximum	ADJ
iajs-2709	10	9	likelihood	likelihood	NOUN
iajs-2709	10	10	method	method	NOUN
iajs-2709	10	11	to	to	PART
iajs-2709	10	12	estimate	estimate	VERB
iajs-2709	10	13	the	the	DET
iajs-2709	10	14	unknown	unknown	ADJ
iajs-2709	10	15	parameters	parameter	NOUN
iajs-2709	10	16	of	of	ADP
iajs-2709	10	17	weibull	weibull	NOUN
iajs-2709	10	18	distribution	distribution	NOUN
iajs-2709	10	19	,	,	PUNCT
iajs-2709	10	20	and	and	CCONJ
iajs-2709	10	21	[	[	X
iajs-2709	10	22	4	4	X
iajs-2709	10	23	]	]	PUNCT
iajs-2709	10	24	presented	present	VERB
iajs-2709	10	25	bayesian	bayesian	NOUN
iajs-2709	10	26	estimation	estimation	NOUN
iajs-2709	10	27	for	for	ADP
iajs-2709	10	28	weibull	weibull	NOUN
iajs-2709	10	29	distribution	distribution	NOUN
iajs-2709	10	30	under	under	ADP
iajs-2709	10	31	asymmetric	asymmetric	ADJ
iajs-2709	10	32	and	and	CCONJ
iajs-2709	10	33	symmetric	symmetric	ADJ
iajs-2709	10	34	loss	loss	NOUN
iajs-2709	10	35	function	function	NOUN
iajs-2709	10	36	and	and	CCONJ
iajs-2709	10	37	that	that	PRON
iajs-2709	10	38	of	of	ADP
iajs-2709	10	39	maximum	maximum	ADJ
iajs-2709	10	40	likelihood	likelihood	NOUN
iajs-2709	10	41	estimation	estimation	NOUN
iajs-2709	10	42	.	.	PUNCT
iajs-2709	11	1	ibn	ibn	PROPN
iajs-2709	11	2	al	al	PROPN
iajs-2709	11	3	haitham	haitham	PROPN
iajs-2709	11	4	journal	journal	PROPN
iajs-2709	11	5	for	for	ADP
iajs-2709	11	6	pure	pure	ADJ
iajs-2709	11	7	and	and	CCONJ
iajs-2709	11	8	applied	apply	VERB
iajs-2709	11	9	science	science	NOUN
iajs-2709	11	10	journal	journal	PROPN
iajs-2709	11	11	homepage	homepage	NOUN
iajs-2709	11	12	:	:	PUNCT
iajs-2709	11	13	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	NOUN
iajs-2709	11	14	doi	doi	NOUN
iajs-2709	11	15	:	:	PUNCT
iajs-2709	12	1	10.30526/34.4.2709	10.30526/34.4.2709	PROPN
iajs-2709	12	2	abtisam	abtisam	ADP
iajs-2709	12	3	j.	j.	PROPN
iajs-2709	12	4	kadhim	kadhim	PROPN
iajs-2709	12	5	department	department	PROPN
iajs-2709	12	6	of	of	ADP
iajs-2709	12	7	mathematics	mathematics	PROPN
iajs-2709	12	8	,	,	PUNCT
iajs-2709	12	9	college	college	NOUN
iajs-2709	12	10	of	of	ADP
iajs-2709	12	11	science	science	NOUN
iajs-2709	12	12	,	,	PUNCT
iajs-2709	12	13	mustansiriyah	mustansiriyah	NOUN
iajs-2709	12	14	university	university	NOUN
iajs-2709	12	15	,	,	PUNCT
iajs-2709	12	16	baghdad	baghdad	PROPN
iajs-2709	12	17	,	,	PUNCT
iajs-2709	12	18	iraq	iraq	PROPN
iajs-2709	12	19	.	.	PUNCT
iajs-2709	13	1	momasaayj@gmail.com	momasaayj@gmail.com	X
iajs-2709	13	2	huda	huda	PROPN
iajs-2709	13	3	a.	a.	PROPN
iajs-2709	13	4	rasheed	rasheed	PROPN
iajs-2709	13	5	department	department	PROPN
iajs-2709	13	6	of	of	ADP
iajs-2709	13	7	mathematics	mathematics	PROPN
iajs-2709	13	8	,	,	PUNCT
iajs-2709	13	9	college	college	NOUN
iajs-2709	13	10	of	of	ADP
iajs-2709	13	11	science	science	NOUN
iajs-2709	13	12	,	,	PUNCT
iajs-2709	13	13	mustansiriyah	mustansiriyah	NOUN
iajs-2709	13	14	university	university	NOUN
iajs-2709	13	15	,	,	PUNCT
iajs-2709	13	16	baghdad	baghdad	PROPN
iajs-2709	13	17	,	,	PUNCT
iajs-2709	13	18	iraq	iraq	PROPN
iajs-2709	13	19	.	.	PUNCT
iajs-2709	14	1	hudamath@uomustansiriyah.edu.iq	hudamath@uomustansiriyah.edu.iq	ADJ
iajs-2709	14	2	article	article	NOUN
iajs-2709	14	3	history	history	NOUN
iajs-2709	14	4	:	:	PUNCT
iajs-2709	14	5	received	receive	VERB
iajs-2709	14	6	5	5	NUM
iajs-2709	14	7	,	,	PUNCT
iajs-2709	14	8	july	july	PROPN
iajs-2709	14	9	,	,	PUNCT
iajs-2709	14	10	2021	2021	NUM
iajs-2709	14	11	,	,	PUNCT
iajs-2709	14	12	accepted	accept	VERB
iajs-2709	14	13	29	29	NUM
iajs-2709	14	14	,	,	PUNCT
iajs-2709	14	15	august	august	PROPN
iajs-2709	14	16	,	,	PUNCT
iajs-2709	14	17	2021	2021	NUM
iajs-2709	14	18	,	,	PUNCT
iajs-2709	14	19	published	publish	VERB
iajs-2709	14	20	in	in	ADP
iajs-2709	14	21	october	october	PROPN
iajs-2709	14	22	2021	2021	NUM
iajs-2709	14	23	.	.	PUNCT
iajs-2709	15	1	mailto:momasaayj@gmail.com	mailto:momasaayj@gmail.com	X
iajs-2709	15	2	mailto:hudamath@uomustansiriyah.edu.iq	mailto:hudamath@uomustansiriyah.edu.iq	PROPN
iajs-2709	15	3	ibn	ibn	PROPN
iajs-2709	15	4	al	al	PROPN
iajs-2709	15	5	-	-	PUNCT
iajs-2709	15	6	haitham	haitham	PROPN
iajs-2709	15	7	jour	jour	X
iajs-2709	15	8	.	.	PROPN
iajs-2709	15	9	for	for	ADP
iajs-2709	15	10	pure	pure	ADJ
iajs-2709	15	11	&	&	CCONJ
iajs-2709	15	12	appl	appl	PROPN
iajs-2709	15	13	.	.	PUNCT
iajs-2709	16	1	sci	sci	PROPN
iajs-2709	16	2	.	.	PROPN
iajs-2709	17	1	34(4)2021	34(4)2021	NUM
iajs-2709	17	2	117	117	NUM
iajs-2709	17	3	the	the	DET
iajs-2709	17	4	probability	probability	NOUN
iajs-2709	17	5	density	density	NOUN
iajs-2709	17	6	function	function	NOUN
iajs-2709	17	7	(	(	PUNCT
iajs-2709	17	8	pdf	pdf	NOUN
iajs-2709	17	9	)	)	PUNCT
iajs-2709	17	10	of	of	ADP
iajs-2709	17	11	the	the	DET
iajs-2709	17	12	two	two	NUM
iajs-2709	17	13	parameters	parameter	NOUN
iajs-2709	17	14	weibull	weibull	NOUN
iajs-2709	17	15	distribution	distribution	NOUN
iajs-2709	17	16	is	be	AUX
iajs-2709	17	17	defined	define	VERB
iajs-2709	17	18	as	as	ADP
iajs-2709	17	19	:	:	PUNCT
iajs-2709	17	20	𝑓	𝑓	PROPN
iajs-2709	17	21	(	(	PUNCT
iajs-2709	17	22	𝑥	𝑥	PROPN
iajs-2709	17	23	∣	∣	PROPN
iajs-2709	17	24	λ	λ	NOUN
iajs-2709	17	25	,	,	PUNCT
iajs-2709	17	26	𝜗	𝜗	NOUN
iajs-2709	17	27	)	)	PUNCT
iajs-2709	17	28	=	=	PUNCT
iajs-2709	18	1	λ	λ	X
iajs-2709	18	2	𝜗	𝜗	X
iajs-2709	18	3	(	(	PUNCT
iajs-2709	18	4	𝑥	𝑥	NOUN
iajs-2709	18	5	𝜗	𝜗	NOUN
iajs-2709	18	6	)	)	PUNCT
iajs-2709	19	1	λ−1	λ−1	NOUN
iajs-2709	19	2	𝑒−	𝑒−	PROPN
iajs-2709	19	3	(	(	PUNCT
iajs-2709	19	4	𝑥	𝑥	NOUN
iajs-2709	19	5	𝜗	𝜗	NOUN
iajs-2709	19	6	)	)	PUNCT
iajs-2709	19	7	λ	λ	PROPN
iajs-2709	19	8	;	;	PUNCT
iajs-2709	19	9	𝑥	𝑥	X
iajs-2709	19	10	>	>	X
iajs-2709	19	11	0	0	NUM
iajs-2709	19	12	,	,	PUNCT
iajs-2709	19	13	λ	λ	PROPN
iajs-2709	19	14	,	,	PUNCT
iajs-2709	19	15	ϑ	ϑ	X
iajs-2709	19	16	>	>	X
iajs-2709	19	17	0	0	PUNCT
iajs-2709	19	18	(	(	PUNCT
iajs-2709	19	19	1	1	X
iajs-2709	19	20	)	)	PUNCT
iajs-2709	19	21	the	the	DET
iajs-2709	19	22	corresponding	corresponding	ADJ
iajs-2709	19	23	cumulative	cumulative	ADJ
iajs-2709	19	24	distribution	distribution	NOUN
iajs-2709	19	25	function	function	NOUN
iajs-2709	19	26	(	(	PUNCT
iajs-2709	19	27	cdf	cdf	PROPN
iajs-2709	19	28	)	)	PUNCT
iajs-2709	19	29	is	be	AUX
iajs-2709	19	30	given	give	VERB
iajs-2709	19	31	by	by	ADP
iajs-2709	19	32	:	:	PUNCT
iajs-2709	19	33	𝐹	𝐹	PROPN
iajs-2709	19	34	(	(	PUNCT
iajs-2709	19	35	𝑥	𝑥	PROPN
iajs-2709	19	36	∣	∣	PROPN
iajs-2709	19	37	λ	λ	NOUN
iajs-2709	19	38	,	,	PUNCT
iajs-2709	19	39	𝜗	𝜗	NOUN
iajs-2709	19	40	)	)	PUNCT
iajs-2709	19	41	=	=	SYM
iajs-2709	20	1	∫	∫	PROPN
iajs-2709	20	2	  	  	SPACE
iajs-2709	20	3	𝑥	𝑥	NOUN
iajs-2709	20	4	0	0	PUNCT
iajs-2709	21	1	𝜆	𝜆	PRON
iajs-2709	21	2	𝜗𝜆	𝜗𝜆	ADP
iajs-2709	21	3	𝑡𝜆−1𝑒−	𝑡𝜆−1𝑒−	VERB
iajs-2709	21	4	(	(	PUNCT
iajs-2709	21	5	𝑡	𝑡	NOUN
iajs-2709	21	6	𝜗	𝜗	NOUN
iajs-2709	21	7	)	)	PUNCT
iajs-2709	22	1	λ	λ	NOUN
iajs-2709	22	2	𝑑𝑥	𝑑𝑥	NOUN
iajs-2709	22	3	=	=	SYM
iajs-2709	22	4	1	1	NUM
iajs-2709	22	5	−	−	NOUN
iajs-2709	22	6	𝑒−	𝑒−	NOUN
iajs-2709	22	7	(	(	PUNCT
iajs-2709	22	8	𝑥	𝑥	NOUN
iajs-2709	22	9	𝜗	𝜗	NOUN
iajs-2709	22	10	)	)	PUNCT
iajs-2709	22	11	𝜆	𝜆	ADP
iajs-2709	22	12	the	the	DET
iajs-2709	22	13	reliability	reliability	NOUN
iajs-2709	22	14	function	function	NOUN
iajs-2709	22	15	is	be	AUX
iajs-2709	22	16	defined	define	VERB
iajs-2709	22	17	:	:	PUNCT
iajs-2709	22	18	r(x	r(x	NOUN
iajs-2709	22	19	;	;	PUNCT
iajs-2709	22	20	𝜆	𝜆	X
iajs-2709	22	21	,	,	PUNCT
iajs-2709	22	22	𝜗	𝜗	NOUN
iajs-2709	22	23	)	)	PUNCT
iajs-2709	22	24	=	=	SYM
iajs-2709	22	25	1	1	NUM
iajs-2709	22	26	−	−	PROPN
iajs-2709	22	27	f(𝑋	f(𝑋	NOUN
iajs-2709	22	28	;	;	PUNCT
iajs-2709	22	29	𝜆	𝜆	X
iajs-2709	22	30	,	,	PUNCT
iajs-2709	22	31	𝜗	𝜗	NOUN
iajs-2709	22	32	)	)	PUNCT
iajs-2709	22	33	=	=	SYM
iajs-2709	23	1	𝑒−	𝑒−	NOUN
iajs-2709	23	2	(	(	PUNCT
iajs-2709	23	3	𝑥	𝑥	NOUN
iajs-2709	23	4	𝜗	𝜗	NOUN
iajs-2709	23	5	)	)	PUNCT
iajs-2709	23	6	𝜆	𝜆	PRON
iajs-2709	23	7	2	2	X
iajs-2709	23	8	.	.	PUNCT
iajs-2709	23	9	bayesian	bayesian	NOUN
iajs-2709	23	10	estimators	estimator	NOUN
iajs-2709	23	11	bayesian	bayesian	NOUN
iajs-2709	23	12	estimation	estimation	NOUN
iajs-2709	23	13	is	be	AUX
iajs-2709	23	14	an	an	DET
iajs-2709	23	15	estimation	estimation	NOUN
iajs-2709	23	16	that	that	PRON
iajs-2709	23	17	aims	aim	VERB
iajs-2709	23	18	to	to	PART
iajs-2709	23	19	minimize	minimize	VERB
iajs-2709	23	20	the	the	DET
iajs-2709	23	21	posterior	posterior	ADJ
iajs-2709	23	22	expected	expect	VERB
iajs-2709	23	23	value	value	NOUN
iajs-2709	23	24	of	of	ADP
iajs-2709	23	25	a	a	DET
iajs-2709	23	26	loss	loss	NOUN
iajs-2709	23	27	function	function	NOUN
iajs-2709	23	28	.	.	PUNCT
iajs-2709	24	1	[	[	X
iajs-2709	24	2	5	5	NUM
iajs-2709	24	3	]	]	PUNCT
iajs-2709	24	4	in	in	ADP
iajs-2709	24	5	this	this	DET
iajs-2709	24	6	suction	suction	NOUN
iajs-2709	24	7	,	,	PUNCT
iajs-2709	24	8	bayesian	bayesian	NOUN
iajs-2709	24	9	estimators	estimator	NOUN
iajs-2709	24	10	are	be	AUX
iajs-2709	24	11	obtained	obtain	VERB
iajs-2709	24	12	based	base	VERB
iajs-2709	24	13	on	on	ADP
iajs-2709	24	14	a	a	DET
iajs-2709	24	15	new	new	ADJ
iajs-2709	24	16	loss	loss	NOUN
iajs-2709	24	17	function	function	NOUN
iajs-2709	24	18	,	,	PUNCT
iajs-2709	24	19	which	which	PRON
iajs-2709	24	20	is	be	AUX
iajs-2709	24	21	generalized	generalize	VERB
iajs-2709	24	22	weighted	weight	VERB
iajs-2709	24	23	loss	loss	NOUN
iajs-2709	24	24	function	function	NOUN
iajs-2709	24	25	.	.	PUNCT
iajs-2709	25	1	the	the	DET
iajs-2709	25	2	bayesian	bayesian	NOUN
iajs-2709	25	3	estimators	estimator	NOUN
iajs-2709	25	4	are	be	AUX
iajs-2709	25	5	derived	derive	VERB
iajs-2709	25	6	with	with	ADP
iajs-2709	25	7	assuming	assume	VERB
iajs-2709	25	8	the	the	DET
iajs-2709	25	9	exponential	exponential	NOUN
iajs-2709	25	10	prior	prior	ADV
iajs-2709	25	11	for	for	ADP
iajs-2709	25	12	each	each	PRON
iajs-2709	25	13	of	of	ADP
iajs-2709	25	14	λ	λ	PROPN
iajs-2709	25	15	and	and	CCONJ
iajs-2709	25	16	𝜗	𝜗	PROPN
iajs-2709	25	17	,	,	PUNCT
iajs-2709	25	18	i.e.	i.e.	X
iajs-2709	25	19	:	:	PUNCT
iajs-2709	25	20	λ~𝐸𝑥𝑝𝑜𝑛𝑒𝑛𝑡𝑖𝑎𝑙	λ~𝐸𝑥𝑝𝑜𝑛𝑒𝑛𝑡𝑖𝑎𝑙	PROPN
iajs-2709	25	21	(	(	PUNCT
iajs-2709	25	22	1/	1/	NUM
iajs-2709	25	23	𝛿	𝛿	NOUN
iajs-2709	25	24	)	)	PUNCT
iajs-2709	25	25	with	with	ADP
iajs-2709	25	26	the	the	DET
iajs-2709	25	27	following	follow	VERB
iajs-2709	25	28	pdf	pdf	NOUN
iajs-2709	25	29	𝑔1(𝜆	𝑔1(𝜆	PROPN
iajs-2709	25	30	)	)	PUNCT
iajs-2709	25	31	=	=	PUNCT
iajs-2709	25	32	𝛿𝑒−𝛿𝜆	𝛿𝑒−𝛿𝜆	VERB
iajs-2709	25	33	𝛿	𝛿	PROPN
iajs-2709	25	34	>	>	X
iajs-2709	25	35	0	0	NUM
iajs-2709	25	36	𝜗	𝜗	NOUN
iajs-2709	25	37	~𝐸𝑥𝑝𝑜𝑛𝑒𝑛𝑡𝑖𝑎𝑙	~𝐸𝑥𝑝𝑜𝑛𝑒𝑛𝑡𝑖𝑎𝑙	ADP
iajs-2709	25	38	(	(	PUNCT
iajs-2709	25	39	1/	1/	NUM
iajs-2709	25	40	𝛾	𝛾	NOUN
iajs-2709	25	41	)	)	PUNCT
iajs-2709	25	42	with	with	ADP
iajs-2709	25	43	the	the	DET
iajs-2709	25	44	pdf	pdf	NOUN
iajs-2709	25	45	defined	define	VERB
iajs-2709	25	46	as	as	ADP
iajs-2709	25	47	𝑔2(𝜗	𝑔2(𝜗	NOUN
iajs-2709	25	48	)	)	PUNCT
iajs-2709	25	49	=	=	PUNCT
iajs-2709	25	50	𝛾𝑒−𝛾𝜗	𝛾𝑒−𝛾𝜗	ADJ
iajs-2709	25	51	𝛾	𝛾	VERB
iajs-2709	25	52	>	>	X
iajs-2709	25	53	0	0	PUNCT
iajs-2709	26	1	𝜆	𝜆	NOUN
iajs-2709	26	2	and	and	CCONJ
iajs-2709	26	3	𝜗	𝜗	NOUN
iajs-2709	26	4	are	be	AUX
iajs-2709	26	5	independent	independent	ADJ
iajs-2709	26	6	of	of	ADP
iajs-2709	26	7	each	each	DET
iajs-2709	26	8	other	other	ADJ
iajs-2709	26	9	.	.	PUNCT
iajs-2709	27	1	therefore	therefore	ADV
iajs-2709	27	2	,	,	PUNCT
iajs-2709	27	3	the	the	DET
iajs-2709	27	4	joint	joint	ADJ
iajs-2709	27	5	exponential	exponential	NOUN
iajs-2709	27	6	prior	prior	ADV
iajs-2709	27	7	is	be	AUX
iajs-2709	27	8	:	:	PUNCT
iajs-2709	27	9	g	g	PROPN
iajs-2709	27	10	(	(	PUNCT
iajs-2709	27	11	λ	λ	PROPN
iajs-2709	27	12	,	,	PUNCT
iajs-2709	27	13	ϑ	ϑ	NOUN
iajs-2709	27	14	)	)	PUNCT
iajs-2709	27	15	=	=	SYM
iajs-2709	27	16	𝑔1(λ	𝑔1(λ	PROPN
iajs-2709	27	17	)	)	PUNCT
iajs-2709	27	18	𝑔2(𝜗	𝑔2(𝜗	NUM
iajs-2709	27	19	)	)	PUNCT
iajs-2709	27	20	=	=	NOUN
iajs-2709	27	21	𝛿	𝛿	ADJ
iajs-2709	27	22	𝑒−	𝑒−	NOUN
iajs-2709	27	23	𝛿𝜆	𝛿𝜆	PROPN
iajs-2709	27	24	𝛾𝑒−	𝛾𝑒−	PROPN
iajs-2709	27	25	𝛾𝜗	𝛾𝜗	NOUN
iajs-2709	27	26	hence	hence	ADV
iajs-2709	27	27	,	,	PUNCT
iajs-2709	27	28	the	the	DET
iajs-2709	27	29	posterior	posterior	ADJ
iajs-2709	27	30	distribution	distribution	NOUN
iajs-2709	27	31	of	of	ADP
iajs-2709	27	32	𝜗	𝜗	NOUN
iajs-2709	27	33	and	and	CCONJ
iajs-2709	27	34	λ	λ	PROPN
iajs-2709	27	35	is	be	AUX
iajs-2709	27	36	given	give	VERB
iajs-2709	27	37	by	by	ADP
iajs-2709	27	38	𝜋(𝜆	𝜋(𝜆	PROPN
iajs-2709	27	39	,	,	PUNCT
iajs-2709	27	40	𝜗	𝜗	NOUN
iajs-2709	27	41	;	;	PUNCT
iajs-2709	27	42	𝑋	𝑋	PROPN
iajs-2709	27	43	)	)	PUNCT
iajs-2709	27	44	=	=	SYM
iajs-2709	27	45	𝑒−(𝛾𝜗+𝛿𝜆	𝑒−(𝛾𝜗+𝛿𝜆	PROPN
iajs-2709	27	46	)	)	PUNCT
iajs-2709	27	47	(	(	PUNCT
iajs-2709	27	48	𝜆	𝜆	X
iajs-2709	27	49	𝜗𝜆	𝜗𝜆	NOUN
iajs-2709	27	50	)	)	PUNCT
iajs-2709	27	51	𝑛	𝑛	DET
iajs-2709	27	52	∏	∏	PROPN
iajs-2709	27	53	 	 	SPACE
iajs-2709	27	54	𝑛	𝑛	PRON
iajs-2709	27	55	𝑖=1	𝑖=1	PROPN
iajs-2709	27	56	𝑥𝑖	𝑥𝑖	ADP
iajs-2709	27	57	𝜆−1	𝜆−1	PROPN
iajs-2709	27	58	exp(−	exp(−	PROPN
iajs-2709	27	59	∑	∑	PROPN
iajs-2709	27	60	 	 	SPACE
iajs-2709	27	61	𝑛	𝑛	PRON
iajs-2709	27	62	𝑖=1	𝑖=1	PROPN
iajs-2709	27	63	𝑥𝑖	𝑥𝑖	ADP
iajs-2709	27	64	𝜆	𝜆	DET
iajs-2709	27	65	𝜗𝜆	𝜗𝜆	NOUN
iajs-2709	27	66	)	)	PUNCT
iajs-2709	27	67	∫	∫	PROPN
iajs-2709	27	68	  	  	SPACE
iajs-2709	27	69	∞	∞	PROPN
iajs-2709	27	70	0	0	NUM
iajs-2709	27	71	∫	∫	PROPN
iajs-2709	27	72	𝑒−(𝛾𝜗+𝛿𝜆	𝑒−(𝛾𝜗+𝛿𝜆	PROPN
iajs-2709	27	73	)	)	PUNCT
iajs-2709	27	74	  	  	SPACE
iajs-2709	27	75	∞	∞	PROPN
iajs-2709	27	76	0	0	PUNCT
iajs-2709	28	1	(	(	PUNCT
iajs-2709	28	2	𝜆	𝜆	PRON
iajs-2709	28	3	𝜗𝜆	𝜗𝜆	NOUN
iajs-2709	28	4	)	)	PUNCT
iajs-2709	28	5	𝑛	𝑛	DET
iajs-2709	28	6	∏	∏	PROPN
iajs-2709	28	7	 	 	SPACE
iajs-2709	28	8	𝑛	𝑛	PRON
iajs-2709	28	9	𝑖=1	𝑖=1	PROPN
iajs-2709	28	10	𝑥𝑖	𝑥𝑖	ADP
iajs-2709	28	11	𝜆−1	𝜆−1	PROPN
iajs-2709	28	12	exp(−	exp(−	PROPN
iajs-2709	28	13	∑	∑	PROPN
iajs-2709	28	14	 	 	SPACE
iajs-2709	28	15	𝑛	𝑛	PRON
iajs-2709	28	16	𝑖=1	𝑖=1	PROPN
iajs-2709	28	17	𝑥𝑖	𝑥𝑖	ADP
iajs-2709	28	18	𝜆	𝜆	DET
iajs-2709	28	19	𝜗𝜆	𝜗𝜆	NOUN
iajs-2709	28	20	)	)	PUNCT
iajs-2709	28	21	𝑑𝜆𝑑𝜗	𝑑𝜆𝑑𝜗	VERB
iajs-2709	28	22	3	3	NUM
iajs-2709	28	23	.	.	PUNCT
iajs-2709	28	24	bayesian	bayesian	NOUN
iajs-2709	28	25	estimator	estimator	NOUN
iajs-2709	28	26	under	under	ADP
iajs-2709	28	27	generalized	generalize	VERB
iajs-2709	28	28	weighted	weight	VERB
iajs-2709	28	29	loss	loss	NOUN
iajs-2709	28	30	function	function	NOUN
iajs-2709	28	31	[	[	X
iajs-2709	28	32	6	6	NUM
iajs-2709	28	33	]	]	PUNCT
iajs-2709	28	34	suggested	suggest	VERB
iajs-2709	28	35	a	a	DET
iajs-2709	28	36	new	new	ADJ
iajs-2709	28	37	loss	loss	NOUN
iajs-2709	28	38	function	function	NOUN
iajs-2709	28	39	in	in	ADP
iajs-2709	28	40	estimating	estimate	VERB
iajs-2709	28	41	the	the	DET
iajs-2709	28	42	scale	scale	NOUN
iajs-2709	28	43	parameter	parameter	NOUN
iajs-2709	28	44	for	for	ADP
iajs-2709	28	45	laplace	laplace	NOUN
iajs-2709	28	46	distribution	distribution	NOUN
iajs-2709	28	47	,	,	PUNCT
iajs-2709	28	48	which	which	PRON
iajs-2709	28	49	is	be	AUX
iajs-2709	28	50	called	call	VERB
iajs-2709	28	51	generalized	generalized	ADJ
iajs-2709	28	52	weighted	weight	VERB
iajs-2709	28	53	loss	loss	NOUN
iajs-2709	28	54	function	function	NOUN
iajs-2709	28	55	and	and	CCONJ
iajs-2709	28	56	introduced	introduce	VERB
iajs-2709	28	57	as	as	SCONJ
iajs-2709	28	58	follows	follow	VERB
iajs-2709	28	59	:	:	PUNCT
iajs-2709	28	60	𝐿(𝜃	𝐿(𝜃	PUNCT
iajs-2709	28	61	,	,	PUNCT
iajs-2709	28	62	𝜃	𝜃	NOUN
iajs-2709	28	63	)	)	PUNCT
iajs-2709	28	64	=	=	SYM
iajs-2709	28	65	(	(	PUNCT
iajs-2709	28	66	∑	∑	INTJ
iajs-2709	28	67	 	 	SPACE
iajs-2709	28	68	𝑘	𝑘	PROPN
iajs-2709	28	69	𝑗=0	𝑗=0	PROPN
iajs-2709	28	70	𝑎𝑗𝜃𝑗)(𝜃	𝑎𝑗𝜃𝑗)(𝜃	NOUN
iajs-2709	28	71	−	−	PROPN
iajs-2709	28	72	𝜃)2	𝜃)2	NOUN
iajs-2709	28	73	𝜃𝜏	𝜃𝜏	VERB
iajs-2709	28	74	𝑎𝑗	𝑎𝑗	ADP
iajs-2709	28	75	>	>	X
iajs-2709	28	76	0	0	PROPN
iajs-2709	28	77	,	,	PUNCT
iajs-2709	28	78	𝜃	𝜃	X
iajs-2709	28	79	>	>	X
iajs-2709	28	80	0	0	NUM
iajs-2709	28	81	,	,	PUNCT
iajs-2709	28	82	𝑗	𝑗	NOUN
iajs-2709	28	83	=	=	SYM
iajs-2709	28	84	1,2	1,2	NUM
iajs-2709	28	85	,	,	PUNCT
iajs-2709	28	86	…	…	PUNCT
iajs-2709	28	87	,	,	PUNCT
iajs-2709	28	88	𝑘	𝑘	X
iajs-2709	28	89	where	where	SCONJ
iajs-2709	28	90	k	k	NOUN
iajs-2709	28	91	,	,	PUNCT
iajs-2709	28	92	𝜏	𝜏	NOUN
iajs-2709	28	93	are	be	AUX
iajs-2709	28	94	constants	constant	NOUN
iajs-2709	28	95	the	the	DET
iajs-2709	28	96	risk	risk	NOUN
iajs-2709	28	97	function	function	NOUN
iajs-2709	28	98	𝑅𝐺𝑤(θ̂	𝑅𝐺𝑤(θ̂	PROPN
iajs-2709	28	99	,	,	PUNCT
iajs-2709	28	100	θ	θ	NOUN
iajs-2709	28	101	)	)	PUNCT
iajs-2709	28	102	can	can	AUX
iajs-2709	28	103	be	be	AUX
iajs-2709	28	104	derived	derive	VERB
iajs-2709	28	105	as	as	ADP
iajs-2709	28	106	𝑅𝐺𝑤(𝜃	𝑅𝐺𝑤(𝜃	PROPN
iajs-2709	28	107	,	,	PUNCT
iajs-2709	28	108	𝜃	𝜃	NOUN
iajs-2709	28	109	)	)	PUNCT
iajs-2709	28	110	=	=	SYM
iajs-2709	29	1	e	e	X
iajs-2709	29	2	[	[	X
iajs-2709	29	3	l(	l(	PROPN
iajs-2709	29	4	�	�	PROPN
iajs-2709	29	5	̂	̂	SYM
iajs-2709	29	6	�	�	PROPN
iajs-2709	29	7	,	,	PUNCT
iajs-2709	29	8	𝜃	𝜃	NOUN
iajs-2709	29	9	)	)	PUNCT
iajs-2709	29	10	]	]	PUNCT
iajs-2709	30	1	=	=	PUNCT
iajs-2709	30	2	∫	∫	PROPN
iajs-2709	31	1	[	[	X
iajs-2709	31	2	  	  	SPACE
iajs-2709	31	3	∞	∞	PROPN
iajs-2709	31	4	0	0	NUM
iajs-2709	31	5	1	1	NUM
iajs-2709	31	6	𝜃𝜏	𝜃𝜏	PART
iajs-2709	31	7	(	(	PUNCT
iajs-2709	31	8	∑	∑	INTJ
iajs-2709	31	9	 	 	SPACE
iajs-2709	31	10	𝑘	𝑘	PROPN
iajs-2709	31	11	𝑗=0	𝑗=0	PROPN
iajs-2709	31	12	𝑎𝑗𝜃𝑗)(𝜃	𝑎𝑗𝜃𝑗)(𝜃	NOUN
iajs-2709	31	13	−	−	PROPN
iajs-2709	31	14	𝜃)2	𝜃)2	PROPN
iajs-2709	31	15	]	]	PUNCT
iajs-2709	31	16	𝜋(𝜃	𝜋(𝜃	PROPN
iajs-2709	31	17	∣	∣	PROPN
iajs-2709	31	18	𝑥)𝑑𝜃	𝑥)𝑑𝜃	PROPN
iajs-2709	31	19	then	then	ADV
iajs-2709	31	20	,	,	PUNCT
iajs-2709	31	21	bayesian	bayesian	NOUN
iajs-2709	31	22	estimator	estimator	NOUN
iajs-2709	31	23	under	under	ADP
iajs-2709	31	24	the	the	DET
iajs-2709	31	25	generalized	generalize	VERB
iajs-2709	31	26	weighted	weight	VERB
iajs-2709	31	27	error	error	NOUN
iajs-2709	31	28	loss	loss	NOUN
iajs-2709	31	29	function	function	NOUN
iajs-2709	31	30	minimizes	minimize	VERB
iajs-2709	31	31	the	the	DET
iajs-2709	31	32	risk	risk	NOUN
iajs-2709	31	33	function	function	NOUN
iajs-2709	31	34	,	,	PUNCT
iajs-2709	31	35	as	as	SCONJ
iajs-2709	31	36	follows	follow	VERB
iajs-2709	31	37	:	:	PUNCT
iajs-2709	31	38	ibn	ibn	PROPN
iajs-2709	31	39	al	al	PROPN
iajs-2709	31	40	-	-	PUNCT
iajs-2709	31	41	haitham	haitham	PROPN
iajs-2709	31	42	jour	jour	X
iajs-2709	31	43	.	.	PROPN
iajs-2709	32	1	for	for	ADP
iajs-2709	32	2	pure	pure	ADJ
iajs-2709	32	3	&	&	CCONJ
iajs-2709	32	4	appl	appl	PROPN
iajs-2709	32	5	.	.	PUNCT
iajs-2709	33	1	sci	sci	PROPN
iajs-2709	33	2	.	.	PROPN
iajs-2709	34	1	34(4)2021	34(4)2021	NUM
iajs-2709	34	2	118	118	NUM
iajs-2709	34	3	�	�	PROPN
iajs-2709	34	4	̂	̂	NOUN
iajs-2709	34	5	�	�	NOUN
iajs-2709	34	6	𝐺𝑤	𝐺𝑤	NOUN
iajs-2709	34	7	=	=	PUNCT
iajs-2709	34	8	𝑎0𝐸	𝑎0𝐸	PROPN
iajs-2709	34	9	(	(	PUNCT
iajs-2709	34	10	1	1	NUM
iajs-2709	34	11	𝜃𝜏	𝜃𝜏	NUM
iajs-2709	34	12	−1	−1	NOUN
iajs-2709	34	13	∣	∣	PROPN
iajs-2709	34	14	𝑥	𝑥	NOUN
iajs-2709	34	15	)	)	PUNCT
iajs-2709	34	16	+	+	NUM
iajs-2709	34	17	𝑎1𝐸	𝑎1𝐸	NOUN
iajs-2709	34	18	(	(	PUNCT
iajs-2709	34	19	1	1	NUM
iajs-2709	34	20	𝜃𝜏	𝜃𝜏	PRON
iajs-2709	34	21	−2	−2	NOUN
iajs-2709	34	22	∣	∣	PROPN
iajs-2709	34	23	𝑥	𝑥	NOUN
iajs-2709	34	24	)	)	PUNCT
iajs-2709	35	1	+	+	CCONJ
iajs-2709	35	2	⋯	⋯	X
iajs-2709	35	3	+	+	CCONJ
iajs-2709	35	4	𝑎𝐾𝐸	𝑎𝐾𝐸	ADJ
iajs-2709	35	5	(	(	PUNCT
iajs-2709	35	6	1	1	NUM
iajs-2709	35	7	𝜃𝜏	𝜃𝜏	PRON
iajs-2709	35	8	−(𝐾+1	−(𝐾+1	NOUN
iajs-2709	35	9	)	)	PUNCT
iajs-2709	35	10	∣	∣	PROPN
iajs-2709	35	11	𝑥	𝑥	NOUN
iajs-2709	35	12	)	)	PUNCT
iajs-2709	35	13	𝑎0𝐸	𝑎0𝐸	PROPN
iajs-2709	35	14	(	(	PUNCT
iajs-2709	35	15	1	1	NUM
iajs-2709	35	16	𝜃𝜏	𝜃𝜏	NUM
iajs-2709	35	17	∣	∣	PROPN
iajs-2709	35	18	𝑥	𝑥	NOUN
iajs-2709	35	19	)	)	PUNCT
iajs-2709	35	20	+	+	NUM
iajs-2709	35	21	𝑎1𝐸	𝑎1𝐸	NOUN
iajs-2709	35	22	(	(	PUNCT
iajs-2709	35	23	1	1	NUM
iajs-2709	35	24	𝜃𝜏	𝜃𝜏	NUM
iajs-2709	35	25	−1	−1	NOUN
iajs-2709	35	26	∣	∣	PROPN
iajs-2709	35	27	𝑥	𝑥	NOUN
iajs-2709	35	28	)	)	PUNCT
iajs-2709	36	1	+	+	CCONJ
iajs-2709	36	2	⋯	⋯	X
iajs-2709	36	3	+	+	CCONJ
iajs-2709	36	4	𝑎𝐾𝐸	𝑎𝐾𝐸	ADJ
iajs-2709	36	5	(	(	PUNCT
iajs-2709	36	6	1	1	NUM
iajs-2709	36	7	𝜃𝜏	𝜃𝜏	PROPN
iajs-2709	36	8	−𝐾	−𝐾	PROPN
iajs-2709	36	9	∣	∣	PROPN
iajs-2709	36	10	𝑥	𝑥	NOUN
iajs-2709	36	11	)	)	PUNCT
iajs-2709	36	12	(	(	PUNCT
iajs-2709	36	13	2	2	NUM
iajs-2709	36	14	)	)	PUNCT
iajs-2709	36	15	whereas	whereas	SCONJ
iajs-2709	36	16	𝑎0	𝑎0	PROPN
iajs-2709	36	17	,	,	PUNCT
iajs-2709	36	18	𝑎1	𝑎1	ADJ
iajs-2709	36	19	,	,	PUNCT
iajs-2709	36	20	…	…	PUNCT
iajs-2709	36	21	,	,	PUNCT
iajs-2709	36	22	𝑎𝑘	𝑎𝑘	PROPN
iajs-2709	36	23	are	be	AUX
iajs-2709	36	24	constants	constant	NOUN
iajs-2709	36	25	.	.	PUNCT
iajs-2709	37	1	a	a	DET
iajs-2709	37	2	-	-	PUNCT
iajs-2709	37	3	bayesian	bayesian	ADJ
iajs-2709	37	4	estimator	estimator	NOUN
iajs-2709	37	5	for	for	ADP
iajs-2709	37	6	𝜗	𝜗	NOUN
iajs-2709	37	7	under	under	ADP
iajs-2709	37	8	generalized	generalize	VERB
iajs-2709	37	9	weighted	weight	VERB
iajs-2709	37	10	loss	loss	NOUN
iajs-2709	37	11	function	function	NOUN
iajs-2709	37	12	bayesian	bayesian	NOUN
iajs-2709	37	13	estimation	estimation	NOUN
iajs-2709	37	14	for	for	ADP
iajs-2709	37	15	ϑ	ϑ	NOUN
iajs-2709	37	16	under	under	ADP
iajs-2709	37	17	generalized	generalize	VERB
iajs-2709	37	18	weighted	weight	VERB
iajs-2709	37	19	loss	loss	NOUN
iajs-2709	37	20	function	function	NOUN
iajs-2709	37	21	can	can	AUX
iajs-2709	37	22	be	be	AUX
iajs-2709	37	23	obtained	obtain	VERB
iajs-2709	37	24	as	as	ADP
iajs-2709	37	25	follows	follow	VERB
iajs-2709	37	26	:	:	PUNCT
iajs-2709	37	27	by	by	AUX
iajs-2709	37	28	suppose	suppose	VERB
iajs-2709	37	29	that	that	SCONJ
iajs-2709	37	30	,	,	PUNCT
iajs-2709	37	31	k=1	k=1	PROPN
iajs-2709	37	32	and	and	CCONJ
iajs-2709	37	33	𝜏	𝜏	X
iajs-2709	37	34	=	=	NOUN
iajs-2709	37	35	0	0	PUNCT
iajs-2709	37	36	then	then	ADV
iajs-2709	37	37	,	,	PUNCT
iajs-2709	37	38	�	�	PROPN
iajs-2709	37	39	̂	̂	NOUN
iajs-2709	37	40	�	�	NOUN
iajs-2709	37	41	10	10	NUM
iajs-2709	37	42	=	=	SYM
iajs-2709	37	43	𝑎0𝐸(𝜗	𝑎0𝐸(𝜗	PROPN
iajs-2709	37	44	∣	∣	PROPN
iajs-2709	37	45	𝑋	𝑋	PROPN
iajs-2709	37	46	)	)	PUNCT
iajs-2709	38	1	+	+	CCONJ
iajs-2709	38	2	𝑎1𝐸(𝜗2	𝑎1𝐸(𝜗2	PROPN
iajs-2709	38	3	∣	∣	ADJ
iajs-2709	38	4	𝑥	𝑥	NOUN
iajs-2709	38	5	)	)	PUNCT
iajs-2709	38	6	𝑎0	𝑎0	PROPN
iajs-2709	38	7	+	+	NOUN
iajs-2709	38	8	𝑎1𝐸(𝜗	𝑎1𝐸(𝜗	ADJ
iajs-2709	38	9	∣	∣	PROPN
iajs-2709	38	10	𝑥	𝑥	NOUN
iajs-2709	38	11	)	)	PUNCT
iajs-2709	38	12	(	(	PUNCT
iajs-2709	38	13	3	3	X
iajs-2709	38	14	)	)	PUNCT
iajs-2709	38	15	assumed	assume	VERB
iajs-2709	38	16	that	that	SCONJ
iajs-2709	38	17	w	w	PROPN
iajs-2709	38	18	(	(	PUNCT
iajs-2709	38	19	λ	λ	PROPN
iajs-2709	38	20	,	,	PUNCT
iajs-2709	38	21	ϑ	ϑ	NOUN
iajs-2709	38	22	)	)	PUNCT
iajs-2709	38	23	be	be	AUX
iajs-2709	38	24	any	any	DET
iajs-2709	38	25	function	function	NOUN
iajs-2709	38	26	for	for	ADP
iajs-2709	38	27	𝜆	𝜆	NOUN
iajs-2709	38	28	,	,	PUNCT
iajs-2709	38	29	𝜗.	𝜗.	PROPN
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iajs-2709	38	31	:	:	PUNCT
iajs-2709	38	32	e[w(λ	e[w(λ	PROPN
iajs-2709	38	33	,	,	PUNCT
iajs-2709	38	34	ϑ	ϑ	NOUN
iajs-2709	38	35	)	)	PUNCT
iajs-2709	38	36	]	]	PUNCT
iajs-2709	39	1	=	=	SYM
iajs-2709	39	2	∫	∫	PROPN
iajs-2709	39	3	∫	∫	PROPN
iajs-2709	39	4	w(λ	w(λ	PROPN
iajs-2709	39	5	,	,	PUNCT
iajs-2709	39	6	ϑ	ϑ	X
iajs-2709	39	7	)	)	PUNCT
iajs-2709	39	8	∞	∞	NOUN
iajs-2709	39	9	0	0	NUM
iajs-2709	40	1	∞	∞	NUM
iajs-2709	40	2	0	0	X
iajs-2709	41	1	π(λ	π(λ	PROPN
iajs-2709	41	2	,	,	PUNCT
iajs-2709	41	3	ϑ	ϑ	NOUN
iajs-2709	41	4	)	)	PUNCT
iajs-2709	41	5	dλ	dλ	NOUN
iajs-2709	41	6	dϑ	dϑ	NOUN
iajs-2709	42	1	=	=	SYM
iajs-2709	42	2	∫	∫	PROPN
iajs-2709	42	3	∫	∫	PROPN
iajs-2709	42	4	w(λ	w(λ	PROPN
iajs-2709	42	5	,	,	PUNCT
iajs-2709	42	6	ϑ	ϑ	NOUN
iajs-2709	42	7	)	)	PUNCT
iajs-2709	42	8	l(x1	l(x1	NOUN
iajs-2709	42	9	,	,	PUNCT
iajs-2709	42	10	x2	x2	PROPN
iajs-2709	42	11	,	,	PUNCT
iajs-2709	42	12	…	…	PUNCT
iajs-2709	42	13	,	,	PUNCT
iajs-2709	42	14	xn	xn	PROPN
iajs-2709	42	15	;	;	PUNCT
iajs-2709	42	16	λ	λ	PROPN
iajs-2709	42	17	,	,	PUNCT
iajs-2709	42	18	ϑ)π(λ	ϑ)π(λ	NOUN
iajs-2709	42	19	,	,	PUNCT
iajs-2709	42	20	ϑ	ϑ	NOUN
iajs-2709	42	21	)	)	PUNCT
iajs-2709	42	22	dλ	dλ	NOUN
iajs-2709	42	23	dϑ	dϑ	PROPN
iajs-2709	42	24	∫	∫	PROPN
iajs-2709	42	25	∫	∫	PROPN
iajs-2709	42	26	l(x1	l(x1	PROPN
iajs-2709	42	27	,	,	PUNCT
iajs-2709	42	28	x2	x2	PROPN
iajs-2709	42	29	,	,	PUNCT
iajs-2709	42	30	…	…	PUNCT
iajs-2709	42	31	,	,	PUNCT
iajs-2709	42	32	xn	xn	PROPN
iajs-2709	42	33	;	;	PUNCT
iajs-2709	42	34	λ	λ	PROPN
iajs-2709	42	35	,	,	PUNCT
iajs-2709	42	36	ϑ)π(λ	ϑ)π(λ	NOUN
iajs-2709	42	37	,	,	PUNCT
iajs-2709	42	38	ϑ	ϑ	NOUN
iajs-2709	42	39	)	)	PUNCT
iajs-2709	42	40	dλ	dλ	NOUN
iajs-2709	42	41	dϑ	dϑ	NOUN
iajs-2709	42	42	∞	∞	PROPN
iajs-2709	42	43	0	0	NUM
iajs-2709	43	1	∞	∞	NUM
iajs-2709	43	2	0	0	NUM
iajs-2709	44	1	∞	∞	NUM
iajs-2709	44	2	0	0	NUM
iajs-2709	45	1	∞	∞	NUM
iajs-2709	45	2	0	0	NUM
iajs-2709	46	1	=	=	SYM
iajs-2709	46	2	∫	∫	PROPN
iajs-2709	46	3	∫	∫	PROPN
iajs-2709	46	4	w(λ	w(λ	PROPN
iajs-2709	46	5	,	,	PUNCT
iajs-2709	46	6	ϑ)l(x1	ϑ)l(x1	PROPN
iajs-2709	46	7	,	,	PUNCT
iajs-2709	46	8	x2	x2	PROPN
iajs-2709	46	9	,	,	PUNCT
iajs-2709	46	10	…	…	PUNCT
iajs-2709	46	11	,	,	PUNCT
iajs-2709	46	12	xn	xn	PROPN
iajs-2709	46	13	;	;	PUNCT
iajs-2709	46	14	λ	λ	PROPN
iajs-2709	46	15	,	,	PUNCT
iajs-2709	46	16	ϑ)π(λ	ϑ)π(λ	NOUN
iajs-2709	46	17	,	,	PUNCT
iajs-2709	46	18	ϑ	ϑ	NOUN
iajs-2709	46	19	)	)	PUNCT
iajs-2709	46	20	dλ	dλ	NOUN
iajs-2709	46	21	dϑ	dϑ	NOUN
iajs-2709	46	22	∞	∞	PROPN
iajs-2709	46	23	0	0	NUM
iajs-2709	47	1	∞	∞	NUM
iajs-2709	47	2	0	0	NUM
iajs-2709	47	3	∫	∫	PROPN
iajs-2709	47	4	∫	∫	PROPN
iajs-2709	47	5	l(x1	l(x1	PROPN
iajs-2709	47	6	,	,	PUNCT
iajs-2709	47	7	x2	x2	PROPN
iajs-2709	47	8	,	,	PUNCT
iajs-2709	47	9	…	…	PUNCT
iajs-2709	47	10	,	,	PUNCT
iajs-2709	47	11	xn	xn	PROPN
iajs-2709	47	12	;	;	PUNCT
iajs-2709	47	13	λ	λ	PROPN
iajs-2709	47	14	,	,	PUNCT
iajs-2709	47	15	ϑ)π(λ	ϑ)π(λ	NOUN
iajs-2709	47	16	,	,	PUNCT
iajs-2709	47	17	ϑ	ϑ	NOUN
iajs-2709	47	18	)	)	PUNCT
iajs-2709	47	19	dλ	dλ	NOUN
iajs-2709	47	20	dϑ	dϑ	NOUN
iajs-2709	47	21	∞	∞	PROPN
iajs-2709	47	22	0	0	NUM
iajs-2709	48	1	∞	∞	NUM
iajs-2709	48	2	0	0	NUM
iajs-2709	48	3	e[𝜗	e[𝜗	NUM
iajs-2709	48	4	│	│	ADJ
iajs-2709	48	5	𝑋	𝑋	NOUN
iajs-2709	48	6	]	]	PUNCT
iajs-2709	48	7	=	=	PUNCT
iajs-2709	48	8	∫	∫	PROPN
iajs-2709	48	9	  	  	SPACE
iajs-2709	48	10	∞	∞	PROPN
iajs-2709	48	11	0	0	NUM
iajs-2709	48	12	∫	∫	PROPN
iajs-2709	48	13	 	 	SPACE
iajs-2709	48	14	𝜗	𝜗	PROPN
iajs-2709	48	15	∞	∞	PROPN
iajs-2709	48	16	0	0	NUM
iajs-2709	48	17	𝑒−(𝛾𝜗+𝛿𝜆	𝑒−(𝛾𝜗+𝛿𝜆	NOUN
iajs-2709	48	18	)	)	PUNCT
iajs-2709	48	19	(	(	PUNCT
iajs-2709	48	20	𝜆	𝜆	X
iajs-2709	48	21	𝜗𝜆	𝜗𝜆	NOUN
iajs-2709	48	22	)	)	PUNCT
iajs-2709	48	23	𝑛	𝑛	DET
iajs-2709	48	24	∏	∏	PROPN
iajs-2709	48	25	 	 	SPACE
iajs-2709	48	26	𝑛	𝑛	PRON
iajs-2709	48	27	𝑖=1	𝑖=1	PROPN
iajs-2709	48	28	𝑥𝑖	𝑥𝑖	ADP
iajs-2709	48	29	𝜆−1	𝜆−1	PROPN
iajs-2709	48	30	exp	exp	NOUN
iajs-2709	48	31	(	(	PUNCT
iajs-2709	48	32	−	−	PROPN
iajs-2709	48	33	∑	∑	PART
iajs-2709	48	34	 	 	SPACE
iajs-2709	48	35	𝑛	𝑛	PRON
iajs-2709	48	36	𝑖=1	𝑖=1	PROPN
iajs-2709	48	37	𝑥𝑖	𝑥𝑖	ADP
iajs-2709	48	38	𝜆	𝜆	DET
iajs-2709	48	39	𝜗𝜆	𝜗𝜆	NOUN
iajs-2709	48	40	)	)	PUNCT
iajs-2709	48	41	𝑑𝜆𝑑𝜗	𝑑𝜆𝑑𝜗	NOUN
iajs-2709	48	42	∫	∫	PROPN
iajs-2709	48	43	  	  	SPACE
iajs-2709	48	44	∞	∞	PROPN
iajs-2709	48	45	0	0	NUM
iajs-2709	48	46	∫	∫	PROPN
iajs-2709	48	47	𝑒−(𝛾𝜗+𝛿𝜆	𝑒−(𝛾𝜗+𝛿𝜆	PROPN
iajs-2709	48	48	)	)	PUNCT
iajs-2709	48	49	  	  	SPACE
iajs-2709	48	50	∞	∞	PROPN
iajs-2709	48	51	0	0	PUNCT
iajs-2709	49	1	(	(	PUNCT
iajs-2709	49	2	𝜆	𝜆	PRON
iajs-2709	49	3	𝜗𝜆	𝜗𝜆	NOUN
iajs-2709	49	4	)	)	PUNCT
iajs-2709	49	5	𝑛	𝑛	DET
iajs-2709	49	6	∏	∏	PROPN
iajs-2709	49	7	 	 	SPACE
iajs-2709	49	8	𝑛	𝑛	PRON
iajs-2709	49	9	𝑖=1	𝑖=1	PROPN
iajs-2709	49	10	𝑥𝑖	𝑥𝑖	ADP
iajs-2709	49	11	𝜆−1	𝜆−1	PROPN
iajs-2709	49	12	exp	exp	NOUN
iajs-2709	49	13	(	(	PUNCT
iajs-2709	49	14	−	−	PROPN
iajs-2709	49	15	∑	∑	PART
iajs-2709	49	16	 	 	SPACE
iajs-2709	49	17	𝑛	𝑛	PRON
iajs-2709	49	18	𝑖=1	𝑖=1	PROPN
iajs-2709	49	19	𝑥𝑖	𝑥𝑖	ADP
iajs-2709	49	20	𝜆	𝜆	DET
iajs-2709	49	21	𝜗𝜆	𝜗𝜆	NOUN
iajs-2709	49	22	)	)	PUNCT
iajs-2709	49	23	𝑑𝜆	𝑑𝜆	AUX
iajs-2709	49	24	𝑑𝜗	𝑑𝜗	NOUN
iajs-2709	49	25	observed	observe	VERB
iajs-2709	49	26	that	that	SCONJ
iajs-2709	49	27	,	,	PUNCT
iajs-2709	49	28	it	it	PRON
iajs-2709	49	29	is	be	AUX
iajs-2709	49	30	difficult	difficult	ADJ
iajs-2709	49	31	to	to	PART
iajs-2709	49	32	obtain	obtain	VERB
iajs-2709	49	33	the	the	DET
iajs-2709	49	34	solution	solution	NOUN
iajs-2709	49	35	of	of	ADP
iajs-2709	49	36	the	the	DET
iajs-2709	49	37	ratio	ratio	NOUN
iajs-2709	49	38	of	of	ADP
iajs-2709	49	39	two	two	NUM
iajs-2709	49	40	integrals	integral	NOUN
iajs-2709	49	41	.	.	PUNCT
iajs-2709	50	1	hence	hence	ADV
iajs-2709	50	2	,	,	PUNCT
iajs-2709	50	3	the	the	DET
iajs-2709	50	4	solution	solution	NOUN
iajs-2709	50	5	will	will	AUX
iajs-2709	50	6	be	be	AUX
iajs-2709	50	7	approximately	approximately	ADV
iajs-2709	50	8	by	by	ADP
iajs-2709	50	9	using	use	VERB
iajs-2709	50	10	lindley	lindley	NOUN
iajs-2709	50	11	’s	’s	PART
iajs-2709	50	12	approximation	approximation	NOUN
iajs-2709	50	13	[	[	X
iajs-2709	50	14	7	7	NUM
iajs-2709	50	15	]	]	PUNCT
iajs-2709	50	16	,	,	PUNCT
iajs-2709	50	17	as	as	SCONJ
iajs-2709	50	18	follows	follow	VERB
iajs-2709	50	19	:	:	PUNCT
iajs-2709	50	20	e[𝜗	e[𝜗	NUM
iajs-2709	50	21	│	│	ADJ
iajs-2709	50	22	𝑋	𝑋	NOUN
iajs-2709	50	23	]	]	X
iajs-2709	50	24	≈	≈	PROPN
iajs-2709	50	25	�	�	PROPN
iajs-2709	50	26	̂	̂	NUM
iajs-2709	50	27	�	�	PROPN
iajs-2709	50	28	+	+	CCONJ
iajs-2709	50	29	𝑝1𝑤1𝜎11	𝑝1𝑤1𝜎11	VERB
iajs-2709	50	30	+	+	CCONJ
iajs-2709	50	31	1	1	NUM
iajs-2709	50	32	2	2	NUM
iajs-2709	50	33	(	(	PUNCT
iajs-2709	50	34	𝐿30𝑤1𝜎11	𝐿30𝑤1𝜎11	PROPN
iajs-2709	50	35	2	2	NUM
iajs-2709	50	36	)	)	PUNCT
iajs-2709	51	1	+	+	CCONJ
iajs-2709	51	2	1	1	NUM
iajs-2709	51	3	2	2	NUM
iajs-2709	51	4	(	(	PUNCT
iajs-2709	51	5	𝐿12𝑤1𝜎11𝜎22	𝐿12𝑤1𝜎11𝜎22	PROPN
iajs-2709	51	6	)	)	PUNCT
iajs-2709	51	7	(	(	PUNCT
iajs-2709	51	8	4	4	X
iajs-2709	51	9	)	)	PUNCT
iajs-2709	51	10	where	where	SCONJ
iajs-2709	51	11	,	,	PUNCT
iajs-2709	51	12	assuming	assume	VERB
iajs-2709	51	13	that	that	SCONJ
iajs-2709	51	14	w	w	PROPN
iajs-2709	51	15	(	(	PUNCT
iajs-2709	51	16	λ	λ	PROPN
iajs-2709	51	17	,	,	PUNCT
iajs-2709	51	18	ϑ	ϑ	NOUN
iajs-2709	51	19	)	)	PUNCT
iajs-2709	51	20	=	=	SYM
iajs-2709	51	21	ϑ	ϑ	X
iajs-2709	51	22	thus	thus	ADV
iajs-2709	51	23	,	,	PUNCT
iajs-2709	51	24	𝑤1	𝑤1	NOUN
iajs-2709	51	25	=	=	SYM
iajs-2709	51	26	∂𝑤(λ,ϑ	∂𝑤(λ,ϑ	PROPN
iajs-2709	51	27	)	)	PUNCT
iajs-2709	51	28	∂𝜗	∂𝜗	PROPN
iajs-2709	51	29	=	=	SYM
iajs-2709	51	30	∂	∂	NUM
iajs-2709	52	1	∂ϑ	∂ϑ	PROPN
iajs-2709	52	2	(	(	PUNCT
iajs-2709	52	3	ϑ	ϑ	NOUN
iajs-2709	52	4	)	)	PUNCT
iajs-2709	52	5	=	=	SYM
iajs-2709	52	6	1	1	NUM
iajs-2709	52	7	(	(	PUNCT
iajs-2709	52	8	5	5	NUM
iajs-2709	52	9	)	)	PUNCT
iajs-2709	52	10	lij	lij	NOUN
iajs-2709	52	11	=	=	PUNCT
iajs-2709	52	12	∂i+j	∂i+j	PROPN
iajs-2709	52	13	∂ϑi	∂ϑi	PROPN
iajs-2709	52	14	∂λj	∂λj	PROPN
iajs-2709	52	15	ln	ln	ADJ
iajs-2709	52	16	l(λ	l(λ	PROPN
iajs-2709	52	17	,	,	PUNCT
iajs-2709	52	18	ϑ	ϑ	X
iajs-2709	52	19	)	)	PUNCT
iajs-2709	52	20	i	i	PRON
iajs-2709	52	21	,	,	PUNCT
iajs-2709	52	22	j	j	PROPN
iajs-2709	52	23	=	=	SYM
iajs-2709	52	24	0,1,2,3	0,1,2,3	NUM
iajs-2709	52	25	=	=	NOUN
iajs-2709	52	26	∂i+j	∂i+j	NOUN
iajs-2709	52	27	∂ϑi	∂ϑi	PROPN
iajs-2709	52	28	∂λj	∂λj	PROPN
iajs-2709	52	29	[	[	X
iajs-2709	52	30	n	n	NUM
iajs-2709	52	31	ln(λ	ln(λ	NOUN
iajs-2709	52	32	)	)	PUNCT
iajs-2709	52	33	−	−	PROPN
iajs-2709	52	34	n	n	CCONJ
iajs-2709	52	35	λ	λ	NOUN
iajs-2709	52	36	ln(ϑ	ln(ϑ	PUNCT
iajs-2709	52	37	)	)	PUNCT
iajs-2709	53	1	+	+	CCONJ
iajs-2709	53	2	(	(	PUNCT
iajs-2709	53	3	λ	λ	X
iajs-2709	53	4	−	−	PROPN
iajs-2709	53	5	1	1	NUM
iajs-2709	53	6	)	)	PUNCT
iajs-2709	53	7	∑	∑	ADP
iajs-2709	53	8	  	  	SPACE
iajs-2709	53	9	n	n	CCONJ
iajs-2709	53	10	i=1	i=1	PROPN
iajs-2709	53	11	ln(xi	ln(xi	PROPN
iajs-2709	53	12	)	)	PUNCT
iajs-2709	53	13	−	−	PROPN
iajs-2709	53	14	∑	∑	PUNCT
iajs-2709	53	15	  	  	SPACE
iajs-2709	53	16	n	n	PRON
iajs-2709	53	17	i=1	i=1	PROPN
iajs-2709	53	18	(	(	PUNCT
iajs-2709	53	19	xi	xi	X
iajs-2709	53	20	ϑ	ϑ	X
iajs-2709	53	21	)	)	PUNCT
iajs-2709	53	22	λ	λ	X
iajs-2709	53	23	]	]	PUNCT
iajs-2709	54	1	𝐿12	𝐿12	PROPN
iajs-2709	54	2	=	=	PUNCT
iajs-2709	54	3	∂3𝑙𝑛𝐿(𝜆	∂3𝑙𝑛𝐿(𝜆	PROPN
iajs-2709	54	4	,	,	PUNCT
iajs-2709	54	5	𝜗	𝜗	NOUN
iajs-2709	54	6	)	)	PUNCT
iajs-2709	54	7	∂𝜗	∂𝜗	PROPN
iajs-2709	54	8	∂𝜆2	∂𝜆2	NOUN
iajs-2709	54	9	=	=	SYM
iajs-2709	54	10	𝜆	𝜆	PRON
iajs-2709	54	11	𝜗	𝜗	NOUN
iajs-2709	54	12	∑	∑	DET
iajs-2709	54	13	  	  	SPACE
iajs-2709	54	14	𝑛	𝑛	PRON
iajs-2709	54	15	𝑖=1	𝑖=1	PROPN
iajs-2709	54	16	(	(	PUNCT
iajs-2709	54	17	𝑥	𝑥	NOUN
iajs-2709	54	18	𝜗	𝜗	NOUN
iajs-2709	54	19	)	)	PUNCT
iajs-2709	54	20	𝜆	𝜆	X
iajs-2709	54	21	(	(	PUNCT
iajs-2709	54	22	ln	ln	NOUN
iajs-2709	54	23	(	(	PUNCT
iajs-2709	54	24	𝑥𝑖	𝑥𝑖	NUM
iajs-2709	54	25	𝜗	𝜗	PROPN
iajs-2709	54	26	)	)	PUNCT
iajs-2709	54	27	)	)	PUNCT
iajs-2709	54	28	2	2	NUM
iajs-2709	55	1	+	+	SYM
iajs-2709	55	2	2	2	NUM
iajs-2709	55	3	𝜗	𝜗	NOUN
iajs-2709	55	4	∑	∑	ADP
iajs-2709	55	5	  	  	SPACE
iajs-2709	55	6	𝑛	𝑛	PRON
iajs-2709	55	7	𝑖=1	𝑖=1	PROPN
iajs-2709	55	8	(	(	PUNCT
iajs-2709	55	9	𝑥𝑖	𝑥𝑖	NUM
iajs-2709	55	10	𝜗	𝜗	PROPN
iajs-2709	55	11	)	)	PUNCT
iajs-2709	55	12	𝜆	𝜆	PROPN
iajs-2709	55	13	ln	ln	ADJ
iajs-2709	55	14	(	(	PUNCT
iajs-2709	55	15	𝑥𝑖	𝑥𝑖	NUM
iajs-2709	55	16	𝜗	𝜗	PROPN
iajs-2709	55	17	)	)	PUNCT
iajs-2709	55	18	(	(	PUNCT
iajs-2709	55	19	6	6	X
iajs-2709	55	20	)	)	PUNCT
iajs-2709	55	21	l20	l20	NOUN
iajs-2709	55	22	=	=	SYM
iajs-2709	55	23	∂2lnl(λ	∂2lnl(λ	PROPN
iajs-2709	55	24	,	,	PUNCT
iajs-2709	55	25	ϑ	ϑ	NOUN
iajs-2709	55	26	)	)	PUNCT
iajs-2709	55	27	∂ϑ2	∂ϑ2	ADJ
iajs-2709	55	28	=	=	PUNCT
iajs-2709	55	29	n	n	CCONJ
iajs-2709	55	30	λ	λ	PROPN
iajs-2709	55	31	ϑ2	ϑ2	NOUN
iajs-2709	55	32	−	−	PROPN
iajs-2709	56	1	λ(λ	λ(λ	X
iajs-2709	56	2	+	+	NUM
iajs-2709	56	3	1	1	X
iajs-2709	56	4	)	)	PUNCT
iajs-2709	56	5	ϑ2	ϑ2	PROPN
iajs-2709	56	6	∑	∑	PUNCT
iajs-2709	56	7	  	  	SPACE
iajs-2709	56	8	n	n	PRON
iajs-2709	56	9	i=1	i=1	PROPN
iajs-2709	56	10	(	(	PUNCT
iajs-2709	56	11	xi	xi	X
iajs-2709	56	12	ϑ	ϑ	X
iajs-2709	56	13	)	)	PUNCT
iajs-2709	56	14	λ	λ	PROPN
iajs-2709	56	15	,	,	PUNCT
iajs-2709	56	16	l02	l02	NOUN
iajs-2709	56	17	=	=	SYM
iajs-2709	56	18	∂2lnl(λ	∂2lnl(λ	PROPN
iajs-2709	56	19	,	,	PUNCT
iajs-2709	56	20	ϑ	ϑ	NOUN
iajs-2709	56	21	)	)	PUNCT
iajs-2709	57	1	∂λ2	∂λ2	PROPN
iajs-2709	57	2	=	=	PUNCT
iajs-2709	58	1	−	−	PROPN
iajs-2709	58	2	n	n	CCONJ
iajs-2709	58	3	λ2	λ2	NOUN
iajs-2709	58	4	−	−	PROPN
iajs-2709	58	5	∑	∑	DET
iajs-2709	58	6	  	  	SPACE
iajs-2709	58	7	n	n	PRON
iajs-2709	58	8	i=1	i=1	PROPN
iajs-2709	58	9	(	(	PUNCT
iajs-2709	58	10	xi	xi	X
iajs-2709	58	11	ϑ	ϑ	X
iajs-2709	58	12	)	)	PUNCT
iajs-2709	58	13	λ	λ	NOUN
iajs-2709	58	14	(	(	PUNCT
iajs-2709	58	15	ln	ln	X
iajs-2709	58	16	(	(	PUNCT
iajs-2709	58	17	xi	xi	X
iajs-2709	58	18	ϑ	ϑ	PROPN
iajs-2709	58	19	)	)	PUNCT
iajs-2709	58	20	)	)	PUNCT
iajs-2709	58	21	2	2	NUM
iajs-2709	58	22	ibn	ibn	PROPN
iajs-2709	58	23	al	al	PROPN
iajs-2709	58	24	-	-	PUNCT
iajs-2709	58	25	haitham	haitham	PROPN
iajs-2709	58	26	jour	jour	X
iajs-2709	58	27	.	.	PROPN
iajs-2709	58	28	for	for	ADP
iajs-2709	58	29	pure	pure	ADJ
iajs-2709	58	30	&	&	CCONJ
iajs-2709	58	31	appl	appl	PROPN
iajs-2709	58	32	.	.	PUNCT
iajs-2709	59	1	sci	sci	PROPN
iajs-2709	59	2	.	.	PROPN
iajs-2709	60	1	34(4)2021	34(4)2021	NUM
iajs-2709	60	2	119	119	NUM
iajs-2709	60	3	𝐿30=	𝐿30=	NOUN
iajs-2709	60	4	∂3	∂3	NOUN
iajs-2709	60	5	𝑙𝑛	𝑙𝑛	NOUN
iajs-2709	60	6	𝐿(𝜆,𝜗	𝐿(𝜆,𝜗	NOUN
iajs-2709	60	7	)	)	PUNCT
iajs-2709	60	8	∂𝜗3	∂𝜗3	PROPN
iajs-2709	60	9	=	=	PUNCT
iajs-2709	61	1	−	−	PROPN
iajs-2709	61	2	2𝑛𝜆	2𝑛𝜆	ADJ
iajs-2709	61	3	𝜗3	𝜗3	ADJ
iajs-2709	61	4	+	+	CCONJ
iajs-2709	61	5	𝜆(𝜆+1)(𝜆+2	𝜆(𝜆+1)(𝜆+2	PROPN
iajs-2709	61	6	)	)	PUNCT
iajs-2709	61	7	𝜗3	𝜗3	ADJ
iajs-2709	61	8	∑	∑	DET
iajs-2709	61	9	 	 	SPACE
iajs-2709	61	10	𝑛	𝑛	PRON
iajs-2709	61	11	𝑖=1	𝑖=1	PROPN
iajs-2709	62	1	(	(	PUNCT
iajs-2709	62	2	𝑥𝑖	𝑥𝑖	NUM
iajs-2709	62	3	𝜗	𝜗	PROPN
iajs-2709	62	4	)	)	PUNCT
iajs-2709	62	5	𝜆	𝜆	X
iajs-2709	62	6	(	(	PUNCT
iajs-2709	62	7	7	7	NUM
iajs-2709	62	8	)	)	PUNCT
iajs-2709	62	9	𝜎11	𝜎11	NOUN
iajs-2709	62	10	=	=	SYM
iajs-2709	62	11	−	−	PROPN
iajs-2709	62	12	1	1	NUM
iajs-2709	63	1	𝐿20	𝐿20	PROPN
iajs-2709	63	2	=	=	SYM
iajs-2709	63	3	−𝜗2	−𝜗2	PROPN
iajs-2709	63	4	𝑛𝜆	𝑛𝜆	PRON
iajs-2709	64	1	−	−	PROPN
iajs-2709	65	1	𝜆	𝜆	INTJ
iajs-2709	66	1	(	(	PUNCT
iajs-2709	66	2	𝜆	𝜆	PROPN
iajs-2709	66	3	+	+	ADJ
iajs-2709	66	4	1	1	NUM
iajs-2709	66	5	)	)	PUNCT
iajs-2709	66	6	∑	∑	ADP
iajs-2709	66	7	 	 	SPACE
iajs-2709	66	8	𝑛	𝑛	PRON
iajs-2709	66	9	𝑖=1	𝑖=1	PROPN
iajs-2709	66	10	(	(	PUNCT
iajs-2709	66	11	𝑥𝑖	𝑥𝑖	NUM
iajs-2709	66	12	𝜗	𝜗	PROPN
iajs-2709	66	13	)	)	PUNCT
iajs-2709	66	14	𝜆	𝜆	X
iajs-2709	66	15	(	(	PUNCT
iajs-2709	66	16	8)	8)	NUM
iajs-2709	66	17	𝜎22	𝜎22	NOUN
iajs-2709	66	18	=	=	PUNCT
iajs-2709	66	19	−	−	PROPN
iajs-2709	66	20	1	1	NUM
iajs-2709	66	21	l02	l02	NOUN
iajs-2709	66	22	=	=	PUNCT
iajs-2709	66	23	𝜆2	𝜆2	NOUN
iajs-2709	66	24	𝑛	𝑛	NOUN
iajs-2709	66	25	+	+	CCONJ
iajs-2709	66	26	𝜆2	𝜆2	PROPN
iajs-2709	66	27	∑	∑	ADP
iajs-2709	66	28	 	 	SPACE
iajs-2709	66	29	𝑛	𝑛	PRON
iajs-2709	66	30	𝑖=1	𝑖=1	PROPN
iajs-2709	67	1	(	(	PUNCT
iajs-2709	67	2	𝑥𝑖	𝑥𝑖	NUM
iajs-2709	67	3	𝜗	𝜗	PROPN
iajs-2709	67	4	)	)	PUNCT
iajs-2709	68	1	𝜆	𝜆	X
iajs-2709	68	2	(	(	PUNCT
iajs-2709	68	3	ln	ln	INTJ
iajs-2709	68	4	(	(	PUNCT
iajs-2709	68	5	𝑥𝑖	𝑥𝑖	PROPN
iajs-2709	68	6	𝜆	𝜆	NOUN
iajs-2709	68	7	)	)	PUNCT
iajs-2709	68	8	)	)	PUNCT
iajs-2709	68	9	2	2	NUM
iajs-2709	68	10	(	(	PUNCT
iajs-2709	68	11	9	9	NUM
iajs-2709	68	12	)	)	PUNCT
iajs-2709	68	13	we	we	PRON
iajs-2709	68	14	have	have	VERB
iajs-2709	68	15	,	,	PUNCT
iajs-2709	69	1	g	g	PROPN
iajs-2709	69	2	(	(	PUNCT
iajs-2709	69	3	λ	λ	PROPN
iajs-2709	69	4	,	,	PUNCT
iajs-2709	69	5	ϑ	ϑ	NOUN
iajs-2709	69	6	)	)	PUNCT
iajs-2709	69	7	=	=	SYM
iajs-2709	69	8	γ	γ	X
iajs-2709	69	9	δ	δ	PROPN
iajs-2709	69	10	𝑒−(𝛾𝜗+𝛿𝜆	𝑒−(𝛾𝜗+𝛿𝜆	PROPN
iajs-2709	69	11	)	)	PUNCT
iajs-2709	69	12	p	p	NOUN
iajs-2709	69	13	=	=	PUNCT
iajs-2709	69	14	ln	ln	ADJ
iajs-2709	69	15	g	g	PROPN
iajs-2709	69	16	(	(	PUNCT
iajs-2709	69	17	λ	λ	PROPN
iajs-2709	69	18	,	,	PUNCT
iajs-2709	69	19	ϑ	ϑ	NOUN
iajs-2709	69	20	)	)	PUNCT
iajs-2709	69	21	=	=	SYM
iajs-2709	69	22	ln	ln	ADJ
iajs-2709	69	23	γ	γ	X
iajs-2709	69	24	+	+	CCONJ
iajs-2709	69	25	ln	ln	ADJ
iajs-2709	69	26	𝛿	𝛿	ADJ
iajs-2709	69	27	–	–	PUNCT
iajs-2709	69	28	γ	γ	X
iajs-2709	69	29	ϑ	ϑ	X
iajs-2709	69	30	–	–	PUNCT
iajs-2709	69	31	δ	δ	PROPN
iajs-2709	69	32	λ	λ	PROPN
iajs-2709	69	33	p1	p1	NOUN
iajs-2709	69	34	=	=	PUNCT
iajs-2709	70	1	∂p	∂p	PROPN
iajs-2709	70	2	∂𝜗	∂𝜗	PROPN
iajs-2709	70	3	=	=	PUNCT
iajs-2709	70	4	−𝛾	−𝛾	ADJ
iajs-2709	70	5	(	(	PUNCT
iajs-2709	70	6	10	10	NUM
iajs-2709	70	7	)	)	PUNCT
iajs-2709	70	8	substituting	substitute	VERB
iajs-2709	70	9	(	(	PUNCT
iajs-2709	70	10	5	5	NUM
iajs-2709	70	11	)	)	PUNCT
iajs-2709	70	12	,	,	PUNCT
iajs-2709	70	13	(	(	PUNCT
iajs-2709	70	14	6	6	NUM
iajs-2709	70	15	)	)	PUNCT
iajs-2709	70	16	,	,	PUNCT
iajs-2709	70	17	(	(	PUNCT
iajs-2709	70	18	7	7	NUM
iajs-2709	70	19	)	)	PUNCT
iajs-2709	70	20	,	,	PUNCT
iajs-2709	70	21	(	(	PUNCT
iajs-2709	70	22	8)	8)	NUM
iajs-2709	70	23	,	,	PUNCT
iajs-2709	70	24	(	(	PUNCT
iajs-2709	70	25	9	9	NUM
iajs-2709	70	26	)	)	PUNCT
iajs-2709	70	27	and	and	CCONJ
iajs-2709	70	28	(	(	PUNCT
iajs-2709	70	29	10	10	NUM
iajs-2709	70	30	)	)	PUNCT
iajs-2709	70	31	into	into	ADP
iajs-2709	70	32	(	(	PUNCT
iajs-2709	70	33	4	4	NUM
iajs-2709	70	34	)	)	PUNCT
iajs-2709	70	35	,	,	PUNCT
iajs-2709	70	36	yields	yield	VERB
iajs-2709	70	37	:	:	PUNCT
iajs-2709	70	38	e	e	X
iajs-2709	71	1	[	[	X
iajs-2709	71	2	ϑ|𝑋	ϑ|𝑋	X
iajs-2709	71	3	]	]	X
iajs-2709	72	1	≈	≈	PROPN
iajs-2709	72	2	ϑ̂	ϑ̂	ADV
iajs-2709	72	3	−	−	PUNCT
iajs-2709	73	1	𝛾𝜎11	𝛾𝜎11	NOUN
iajs-2709	73	2	+	+	CCONJ
iajs-2709	73	3	1	1	NUM
iajs-2709	73	4	2	2	NUM
iajs-2709	73	5	(	(	PUNCT
iajs-2709	73	6	l30𝜎11	l30𝜎11	ADV
iajs-2709	73	7	2	2	NUM
iajs-2709	73	8	)	)	PUNCT
iajs-2709	73	9	+	+	CCONJ
iajs-2709	73	10	1	1	NUM
iajs-2709	73	11	2	2	NUM
iajs-2709	73	12	(	(	PUNCT
iajs-2709	73	13	l12𝜎11𝜎22	l12𝜎11𝜎22	PROPN
iajs-2709	73	14	)	)	PUNCT
iajs-2709	73	15	(	(	PUNCT
iajs-2709	73	16	11	11	NUM
iajs-2709	73	17	)	)	PUNCT
iajs-2709	73	18	similarly	similarly	ADV
iajs-2709	73	19	,	,	PUNCT
iajs-2709	73	20	lindley	lindley	NOUN
iajs-2709	73	21	’s	’s	PART
iajs-2709	73	22	approximation	approximation	NOUN
iajs-2709	73	23	for	for	ADP
iajs-2709	73	24	e[𝜗2	e[𝜗2	NOUN
iajs-2709	73	25	│	│	ADJ
iajs-2709	73	26	𝑋	𝑋	NOUN
iajs-2709	73	27	]	]	PUNCT
iajs-2709	73	28	is	be	AUX
iajs-2709	73	29	given	give	VERB
iajs-2709	73	30	by	by	ADP
iajs-2709	73	31	:	:	PUNCT
iajs-2709	73	32	e[𝜗2	e[𝜗2	NOUN
iajs-2709	73	33	│	│	ADJ
iajs-2709	73	34	𝑋	𝑋	PROPN
iajs-2709	73	35	]	]	X
iajs-2709	73	36	≈	≈	PROPN
iajs-2709	73	37	ϑ̂2	ϑ̂2	PROPN
iajs-2709	74	1	+	+	CCONJ
iajs-2709	74	2	1	1	NUM
iajs-2709	74	3	2	2	NUM
iajs-2709	74	4	(	(	PUNCT
iajs-2709	74	5	w11σ11)+p1w1σ11	w11σ11)+p1w1σ11	NOUN
iajs-2709	74	6	+	+	CCONJ
iajs-2709	74	7	1	1	NUM
iajs-2709	74	8	2	2	NUM
iajs-2709	74	9	(	(	PUNCT
iajs-2709	74	10	l30w1σ11	l30w1σ11	PROPN
iajs-2709	74	11	2	2	NUM
iajs-2709	74	12	)	)	PUNCT
iajs-2709	74	13	+	+	CCONJ
iajs-2709	74	14	1	1	NUM
iajs-2709	74	15	2	2	NUM
iajs-2709	74	16	(	(	PUNCT
iajs-2709	74	17	l12w1σ11σ22	l12w1σ11σ22	PROPN
iajs-2709	74	18	)	)	PUNCT
iajs-2709	74	19	(	(	PUNCT
iajs-2709	74	20	12	12	NUM
iajs-2709	74	21	)	)	PUNCT
iajs-2709	74	22	assuming	assume	VERB
iajs-2709	74	23	that	that	SCONJ
iajs-2709	74	24	,	,	PUNCT
iajs-2709	74	25	w	w	PROPN
iajs-2709	74	26	(	(	PUNCT
iajs-2709	74	27	λ	λ	PROPN
iajs-2709	74	28	,	,	PUNCT
iajs-2709	74	29	ϑ	ϑ	NOUN
iajs-2709	74	30	)	)	PUNCT
iajs-2709	74	31	=	=	SYM
iajs-2709	74	32	ϑ2	ϑ2	NOUN
iajs-2709	74	33	w1	w1	NOUN
iajs-2709	74	34	=	=	SYM
iajs-2709	74	35	∂w(λ,ϑ	∂w(λ,ϑ	PROPN
iajs-2709	74	36	)	)	PUNCT
iajs-2709	74	37	∂ϑ	∂ϑ	NOUN
iajs-2709	75	1	=	=	SYM
iajs-2709	75	2	2ϑ	2ϑ	NUM
iajs-2709	75	3	(	(	PUNCT
iajs-2709	75	4	13	13	NUM
iajs-2709	75	5	)	)	PUNCT
iajs-2709	75	6	w11	w11	NOUN
iajs-2709	75	7	=	=	SYM
iajs-2709	75	8	∂2w(λ,ϑ	∂2w(λ,ϑ	PROPN
iajs-2709	75	9	)	)	PUNCT
iajs-2709	75	10	∂ϑ2	∂ϑ2	NOUN
iajs-2709	75	11	=	=	SYM
iajs-2709	75	12	2	2	NUM
iajs-2709	75	13	(	(	PUNCT
iajs-2709	75	14	14	14	NUM
iajs-2709	75	15	)	)	PUNCT
iajs-2709	75	16	substituting	substitute	VERB
iajs-2709	75	17	(	(	PUNCT
iajs-2709	75	18	6	6	NUM
iajs-2709	75	19	)	)	PUNCT
iajs-2709	75	20	,	,	PUNCT
iajs-2709	75	21	(	(	PUNCT
iajs-2709	75	22	7	7	NUM
iajs-2709	75	23	)	)	PUNCT
iajs-2709	75	24	,	,	PUNCT
iajs-2709	75	25	(	(	PUNCT
iajs-2709	75	26	8)	8)	NUM
iajs-2709	75	27	,	,	PUNCT
iajs-2709	75	28	(	(	PUNCT
iajs-2709	75	29	9	9	NUM
iajs-2709	75	30	)	)	PUNCT
iajs-2709	75	31	,	,	PUNCT
iajs-2709	75	32	(	(	PUNCT
iajs-2709	75	33	10	10	NUM
iajs-2709	75	34	)	)	PUNCT
iajs-2709	75	35	,	,	PUNCT
iajs-2709	75	36	(	(	PUNCT
iajs-2709	75	37	13	13	NUM
iajs-2709	75	38	)	)	PUNCT
iajs-2709	75	39	and	and	CCONJ
iajs-2709	75	40	(	(	PUNCT
iajs-2709	75	41	14	14	NUM
iajs-2709	75	42	)	)	PUNCT
iajs-2709	75	43	into	into	ADP
iajs-2709	75	44	(	(	PUNCT
iajs-2709	75	45	12	12	NUM
iajs-2709	75	46	)	)	PUNCT
iajs-2709	75	47	,	,	PUNCT
iajs-2709	75	48	yields	yield	VERB
iajs-2709	75	49	:	:	PUNCT
iajs-2709	75	50	e[𝜗2	e[𝜗2	NOUN
iajs-2709	75	51	│	│	VERB
iajs-2709	75	52	𝑋	𝑋	PROPN
iajs-2709	75	53	]	]	X
iajs-2709	75	54	≈	≈	PROPN
iajs-2709	75	55	ϑ̂2	ϑ̂2	PROPN
iajs-2709	76	1	+	+	CCONJ
iajs-2709	76	2	(	(	PUNCT
iajs-2709	76	3	1	1	NUM
iajs-2709	76	4	−	−	PROPN
iajs-2709	76	5	2γ	2γ	NOUN
iajs-2709	76	6	�	�	PROPN
iajs-2709	76	7	̂	̂	SYM
iajs-2709	76	8	�	�	NOUN
iajs-2709	76	9	)	)	PUNCT
iajs-2709	76	10	σ11	σ11	PROPN
iajs-2709	76	11	+	+	SYM
iajs-2709	76	12	�	�	PROPN
iajs-2709	76	13	̂	̂	SYM
iajs-2709	76	14	�	�	PROPN
iajs-2709	76	15	[	[	PUNCT
iajs-2709	76	16	(	(	PUNCT
iajs-2709	76	17	l30σ11	l30σ11	NOUN
iajs-2709	76	18	2	2	NUM
iajs-2709	76	19	)	)	PUNCT
iajs-2709	76	20	+	+	CCONJ
iajs-2709	76	21	(	(	PUNCT
iajs-2709	76	22	l12σ11σ22	l12σ11σ22	PROPN
iajs-2709	76	23	)	)	PUNCT
iajs-2709	76	24	]	]	PUNCT
iajs-2709	76	25	(	(	PUNCT
iajs-2709	76	26	15	15	NUM
iajs-2709	76	27	)	)	PUNCT
iajs-2709	76	28	after	after	ADP
iajs-2709	76	29	substituting	substitute	VERB
iajs-2709	76	30	(	(	PUNCT
iajs-2709	76	31	11	11	NUM
iajs-2709	76	32	)	)	PUNCT
iajs-2709	76	33	and	and	CCONJ
iajs-2709	76	34	(	(	PUNCT
iajs-2709	76	35	15	15	NUM
iajs-2709	76	36	)	)	PUNCT
iajs-2709	76	37	into	into	ADP
iajs-2709	76	38	(	(	PUNCT
iajs-2709	76	39	2	2	NUM
iajs-2709	76	40	)	)	PUNCT
iajs-2709	76	41	,	,	PUNCT
iajs-2709	76	42	yields	yield	NOUN
iajs-2709	76	43	:	:	PUNCT
iajs-2709	76	44	�	�	PROPN
iajs-2709	76	45	̂	̂	NOUN
iajs-2709	76	46	�	�	NOUN
iajs-2709	76	47	10	10	NUM
iajs-2709	76	48	=	=	SYM
iajs-2709	76	49	(	(	PUNCT
iajs-2709	76	50	a0ϑ̂	a0ϑ̂	NOUN
iajs-2709	76	51	+	+	CCONJ
iajs-2709	76	52	a1ϑ̂2	a1ϑ̂2	PROPN
iajs-2709	76	53	)	)	PUNCT
iajs-2709	77	1	+	+	CCONJ
iajs-2709	77	2	[	[	X
iajs-2709	77	3	−a0𝛾	−a0𝛾	X
iajs-2709	77	4	+	+	CCONJ
iajs-2709	77	5	a1(1	a1(1	NOUN
iajs-2709	77	6	−	−	PROPN
iajs-2709	77	7	2	2	NUM
iajs-2709	77	8	�	�	PROPN
iajs-2709	77	9	̂	̂	NOUN
iajs-2709	77	10	�	�	NOUN
iajs-2709	77	11	γ)]σ11	γ)]σ11	NUM
iajs-2709	77	12	+	+	CCONJ
iajs-2709	77	13	(	(	PUNCT
iajs-2709	77	14	a0	a0	PROPN
iajs-2709	77	15	2	2	NUM
iajs-2709	77	16	+	+	NOUN
iajs-2709	77	17	a1	a1	PROPN
iajs-2709	77	18	�	�	PROPN
iajs-2709	77	19	̂	̂	NOUN
iajs-2709	77	20	�	�	NOUN
iajs-2709	77	21	)[l30σ11	)[l30σ11	PROPN
iajs-2709	77	22	2	2	NUM
iajs-2709	77	23	+	+	CCONJ
iajs-2709	77	24	l12σ11σ22	l12σ11σ22	PROPN
iajs-2709	77	25	]	]	X
iajs-2709	77	26	a0	a0	NOUN
iajs-2709	77	27	+	+	CCONJ
iajs-2709	77	28	a1[ϑ̂	a1[ϑ̂	PROPN
iajs-2709	78	1	−	−	NOUN
iajs-2709	79	1	𝛾𝜎11	𝛾𝜎11	NOUN
iajs-2709	79	2	+	+	CCONJ
iajs-2709	79	3	1	1	NUM
iajs-2709	79	4	2	2	NUM
iajs-2709	79	5	(	(	PUNCT
iajs-2709	79	6	l30𝜎11	l30𝜎11	ADV
iajs-2709	79	7	2	2	NUM
iajs-2709	79	8	)	)	PUNCT
iajs-2709	79	9	+	+	CCONJ
iajs-2709	79	10	1	1	NUM
iajs-2709	79	11	2	2	NUM
iajs-2709	79	12	(	(	PUNCT
iajs-2709	79	13	l12𝜎11𝜎22	l12𝜎11𝜎22	PROPN
iajs-2709	79	14	)	)	PUNCT
iajs-2709	79	15	]	]	PUNCT
iajs-2709	79	16	(	(	PUNCT
iajs-2709	79	17	16	16	NUM
iajs-2709	79	18	)	)	PUNCT
iajs-2709	79	19	now	now	ADV
iajs-2709	79	20	,	,	PUNCT
iajs-2709	79	21	another	another	DET
iajs-2709	79	22	estimator	estimator	NOUN
iajs-2709	79	23	under	under	ADP
iajs-2709	79	24	generalized	generalize	VERB
iajs-2709	79	25	weighted	weight	VERB
iajs-2709	79	26	loss	loss	NOUN
iajs-2709	79	27	function	function	NOUN
iajs-2709	79	28	will	will	AUX
iajs-2709	79	29	be	be	AUX
iajs-2709	79	30	derived	derive	VERB
iajs-2709	79	31	,	,	PUNCT
iajs-2709	79	32	when	when	SCONJ
iajs-2709	79	33	letting	let	VERB
iajs-2709	79	34	k=1	k=1	PRON
iajs-2709	79	35	and	and	CCONJ
iajs-2709	79	36	𝜏	𝜏	X
iajs-2709	79	37	=	=	NOUN
iajs-2709	79	38	1	1	NUM
iajs-2709	79	39	,	,	PUNCT
iajs-2709	79	40	gives	give	VERB
iajs-2709	79	41	:	:	PUNCT
iajs-2709	80	1	ϑ̂11	ϑ̂11	PROPN
iajs-2709	80	2	=	=	PUNCT
iajs-2709	80	3	a0+a1e(ϑ|x	a0+a1e(ϑ|x	PROPN
iajs-2709	80	4	)	)	PUNCT
iajs-2709	80	5	a0e	a0e	PROPN
iajs-2709	80	6	(	(	PUNCT
iajs-2709	80	7	1	1	NUM
iajs-2709	80	8	ϑ	ϑ	X
iajs-2709	80	9	|x)+a1	|x)+a1	PUNCT
iajs-2709	80	10	similarly	similarly	ADV
iajs-2709	80	11	,	,	PUNCT
iajs-2709	80	12	the	the	DET
iajs-2709	80	13	lindley	lindley	NOUN
iajs-2709	80	14	’s	’s	PART
iajs-2709	80	15	approximation	approximation	NOUN
iajs-2709	80	16	for	for	ADP
iajs-2709	80	17	e	e	X
iajs-2709	80	18	[	[	PUNCT
iajs-2709	80	19	1	1	NUM
iajs-2709	80	20	𝜗	𝜗	NOUN
iajs-2709	80	21	│	│	ADJ
iajs-2709	80	22	𝑋	𝑋	NOUN
iajs-2709	80	23	]	]	PUNCT
iajs-2709	80	24	is	be	AUX
iajs-2709	80	25	given	give	VERB
iajs-2709	80	26	by	by	ADP
iajs-2709	80	27	:	:	PUNCT
iajs-2709	80	28	e	e	X
iajs-2709	80	29	[	[	PUNCT
iajs-2709	80	30	1	1	NUM
iajs-2709	80	31	𝜗	𝜗	NOUN
iajs-2709	80	32	│	│	ADJ
iajs-2709	80	33	𝑋	𝑋	NOUN
iajs-2709	80	34	]	]	X
iajs-2709	80	35	≈	≈	PROPN
iajs-2709	80	36	1	1	NUM
iajs-2709	80	37	ϑ̂	ϑ̂	PROPN
iajs-2709	80	38	+	+	NUM
iajs-2709	80	39	1	1	NUM
iajs-2709	80	40	2	2	NUM
iajs-2709	80	41	(	(	PUNCT
iajs-2709	80	42	w11σ11	w11σ11	PROPN
iajs-2709	80	43	)	)	PUNCT
iajs-2709	81	1	+	+	CCONJ
iajs-2709	82	1	p1w1σ11	p1w1σ11	ADJ
iajs-2709	82	2	+	+	CCONJ
iajs-2709	82	3	1	1	NUM
iajs-2709	82	4	2	2	NUM
iajs-2709	82	5	(	(	PUNCT
iajs-2709	82	6	l30w1σ11	l30w1σ11	PROPN
iajs-2709	82	7	2	2	NUM
iajs-2709	82	8	)	)	PUNCT
iajs-2709	82	9	+	+	CCONJ
iajs-2709	82	10	1	1	NUM
iajs-2709	82	11	2	2	NUM
iajs-2709	82	12	(	(	PUNCT
iajs-2709	82	13	l12w1σ11σ22	l12w1σ11σ22	PROPN
iajs-2709	82	14	)	)	PUNCT
iajs-2709	82	15	(	(	PUNCT
iajs-2709	82	16	17	17	NUM
iajs-2709	82	17	)	)	PUNCT
iajs-2709	82	18	assuming	assume	VERB
iajs-2709	82	19	that	that	SCONJ
iajs-2709	82	20	,	,	PUNCT
iajs-2709	82	21	w	w	PROPN
iajs-2709	82	22	(	(	PUNCT
iajs-2709	82	23	λ	λ	PROPN
iajs-2709	82	24	,	,	PUNCT
iajs-2709	82	25	ϑ	ϑ	NOUN
iajs-2709	82	26	)	)	PUNCT
iajs-2709	82	27	=	=	SYM
iajs-2709	82	28	1	1	NUM
iajs-2709	82	29	ϑ	ϑ	X
iajs-2709	82	30	w1	w1	NOUN
iajs-2709	82	31	=	=	SYM
iajs-2709	82	32	∂w(λ,ϑ	∂w(λ,ϑ	PROPN
iajs-2709	82	33	)	)	PUNCT
iajs-2709	83	1	∂ϑ	∂ϑ	PROPN
iajs-2709	83	2	=	=	SYM
iajs-2709	83	3	−1	−1	NOUN
iajs-2709	83	4	𝜗2	𝜗2	NOUN
iajs-2709	83	5	(	(	PUNCT
iajs-2709	83	6	18	18	NUM
iajs-2709	83	7	)	)	PUNCT
iajs-2709	83	8	ibn	ibn	PROPN
iajs-2709	83	9	al	al	PROPN
iajs-2709	83	10	-	-	PUNCT
iajs-2709	83	11	haitham	haitham	PROPN
iajs-2709	83	12	jour	jour	X
iajs-2709	83	13	.	.	PROPN
iajs-2709	84	1	for	for	ADP
iajs-2709	84	2	pure	pure	ADJ
iajs-2709	84	3	&	&	CCONJ
iajs-2709	84	4	appl	appl	PROPN
iajs-2709	84	5	.	.	PUNCT
iajs-2709	85	1	sci	sci	PROPN
iajs-2709	85	2	.	.	PROPN
iajs-2709	86	1	34(4)2021	34(4)2021	NUM
iajs-2709	86	2	120	120	NUM
iajs-2709	86	3	w11	w11	NOUN
iajs-2709	86	4	=	=	SYM
iajs-2709	86	5	∂2w(λ,ϑ	∂2w(λ,ϑ	NOUN
iajs-2709	86	6	)	)	PUNCT
iajs-2709	86	7	∂ϑ2	∂ϑ2	NOUN
iajs-2709	86	8	=	=	SYM
iajs-2709	86	9	2	2	NUM
iajs-2709	86	10	𝜗3	𝜗3	ADJ
iajs-2709	86	11	(	(	PUNCT
iajs-2709	86	12	19	19	NUM
iajs-2709	86	13	)	)	PUNCT
iajs-2709	86	14	substituting	substituting	NOUN
iajs-2709	86	15	(	(	PUNCT
iajs-2709	86	16	6	6	NUM
iajs-2709	86	17	)	)	PUNCT
iajs-2709	86	18	,	,	PUNCT
iajs-2709	86	19	(	(	PUNCT
iajs-2709	86	20	7	7	NUM
iajs-2709	86	21	)	)	PUNCT
iajs-2709	86	22	,	,	PUNCT
iajs-2709	86	23	(	(	PUNCT
iajs-2709	86	24	8)	8)	NUM
iajs-2709	86	25	,	,	PUNCT
iajs-2709	86	26	(	(	PUNCT
iajs-2709	86	27	9	9	NUM
iajs-2709	86	28	)	)	PUNCT
iajs-2709	86	29	,	,	PUNCT
iajs-2709	86	30	(	(	PUNCT
iajs-2709	86	31	10	10	NUM
iajs-2709	86	32	)	)	PUNCT
iajs-2709	86	33	,	,	PUNCT
iajs-2709	86	34	(	(	PUNCT
iajs-2709	86	35	18	18	NUM
iajs-2709	86	36	)	)	PUNCT
iajs-2709	86	37	and	and	CCONJ
iajs-2709	86	38	(	(	PUNCT
iajs-2709	86	39	19	19	NUM
iajs-2709	86	40	)	)	PUNCT
iajs-2709	86	41	into	into	ADP
iajs-2709	86	42	(	(	PUNCT
iajs-2709	86	43	17	17	NUM
iajs-2709	86	44	)	)	PUNCT
iajs-2709	86	45	,	,	PUNCT
iajs-2709	86	46	yields	yield	VERB
iajs-2709	86	47	:	:	PUNCT
iajs-2709	86	48	e	e	X
iajs-2709	86	49	[	[	PUNCT
iajs-2709	86	50	1	1	NUM
iajs-2709	86	51	𝜗	𝜗	NOUN
iajs-2709	86	52	│	│	ADJ
iajs-2709	86	53	𝑋	𝑋	NOUN
iajs-2709	86	54	]	]	X
iajs-2709	86	55	≈	≈	PROPN
iajs-2709	86	56	1	1	NUM
iajs-2709	86	57	ϑ̂	ϑ̂	NUM
iajs-2709	86	58	+	+	CCONJ
iajs-2709	86	59	(	(	PUNCT
iajs-2709	86	60	1	1	NUM
iajs-2709	86	61	�	�	PROPN
iajs-2709	86	62	̂	̂	NOUN
iajs-2709	86	63	�	�	NOUN
iajs-2709	86	64	3	3	NUM
iajs-2709	86	65	+	+	CCONJ
iajs-2709	86	66	𝛾	𝛾	PROPN
iajs-2709	86	67	�	�	NOUN
iajs-2709	86	68	̂	̂	NOUN
iajs-2709	86	69	�	�	NOUN
iajs-2709	86	70	2	2	NUM
iajs-2709	86	71	)	)	PUNCT
iajs-2709	86	72	σ11	σ11	NOUN
iajs-2709	86	73	−	−	PROPN
iajs-2709	86	74	1	1	NUM
iajs-2709	86	75	2	2	NUM
iajs-2709	86	76	�	�	PROPN
iajs-2709	86	77	̂	̂	NOUN
iajs-2709	86	78	�	�	NOUN
iajs-2709	86	79	2	2	NUM
iajs-2709	86	80	[	[	X
iajs-2709	86	81	(	(	PUNCT
iajs-2709	86	82	l30σ11	l30σ11	NOUN
iajs-2709	86	83	2	2	NUM
iajs-2709	86	84	)	)	PUNCT
iajs-2709	87	1	+	+	CCONJ
iajs-2709	87	2	(	(	PUNCT
iajs-2709	87	3	l12σ11σ22	l12σ11σ22	PROPN
iajs-2709	87	4	)	)	PUNCT
iajs-2709	87	5	]	]	PUNCT
iajs-2709	88	1	(	(	PUNCT
iajs-2709	88	2	20	20	NUM
iajs-2709	88	3	)	)	PUNCT
iajs-2709	88	4	after	after	ADP
iajs-2709	88	5	substituting	substitute	VERB
iajs-2709	88	6	(	(	PUNCT
iajs-2709	88	7	11	11	NUM
iajs-2709	88	8	)	)	PUNCT
iajs-2709	88	9	and	and	CCONJ
iajs-2709	88	10	(	(	PUNCT
iajs-2709	88	11	20	20	NUM
iajs-2709	88	12	)	)	PUNCT
iajs-2709	88	13	into	into	ADP
iajs-2709	88	14	(	(	PUNCT
iajs-2709	88	15	2	2	X
iajs-2709	88	16	)	)	PUNCT
iajs-2709	88	17	give	give	VERB
iajs-2709	88	18	up	up	ADP
iajs-2709	88	19	,	,	PUNCT
iajs-2709	88	20	ϑ̂11	ϑ̂11	NOUN
iajs-2709	88	21	=	=	PUNCT
iajs-2709	88	22	a0+a1[ϑ̂−𝛾𝜎11	a0+a1[ϑ̂−𝛾𝜎11	NOUN
iajs-2709	89	1	+	+	NUM
iajs-2709	89	2	1	1	NUM
iajs-2709	89	3	2	2	NUM
iajs-2709	89	4	(	(	PUNCT
iajs-2709	89	5	l30𝜎11	l30𝜎11	ADV
iajs-2709	89	6	2	2	NUM
iajs-2709	89	7	)	)	PUNCT
iajs-2709	89	8	+	+	CCONJ
iajs-2709	89	9	1	1	NUM
iajs-2709	89	10	2	2	NUM
iajs-2709	89	11	(	(	PUNCT
iajs-2709	89	12	l12𝜎11𝜎22	l12𝜎11𝜎22	PROPN
iajs-2709	89	13	)	)	PUNCT
iajs-2709	89	14	]	]	PUNCT
iajs-2709	89	15	a1+a0	a1+a0	X
iajs-2709	89	16	[	[	PUNCT
iajs-2709	89	17	1	1	NUM
iajs-2709	89	18	ϑ̂	ϑ̂	NUM
iajs-2709	89	19	+	+	PROPN
iajs-2709	89	20	(	(	PUNCT
iajs-2709	89	21	1	1	NUM
iajs-2709	89	22	�	�	PROPN
iajs-2709	89	23	̂	̂	NOUN
iajs-2709	89	24	�	�	NOUN
iajs-2709	89	25	3	3	NUM
iajs-2709	89	26	+	+	NOUN
iajs-2709	89	27	𝛾	𝛾	PRON
iajs-2709	89	28	�	�	PROPN
iajs-2709	89	29	̂	̂	NOUN
iajs-2709	89	30	�	�	NOUN
iajs-2709	89	31	2)σ11−	2)σ11−	NUM
iajs-2709	89	32	1	1	NUM
iajs-2709	89	33	2	2	NUM
iajs-2709	89	34	�	�	PROPN
iajs-2709	89	35	̂	̂	NOUN
iajs-2709	89	36	�	�	NOUN
iajs-2709	89	37	2[(l30σ11	2[(l30σ11	PROPN
iajs-2709	89	38	2	2	NUM
iajs-2709	89	39	)	)	PUNCT
iajs-2709	90	1	+	+	PROPN
iajs-2709	90	2	(	(	PUNCT
iajs-2709	90	3	l12σ11σ22	l12σ11σ22	PROPN
iajs-2709	90	4	)	)	PUNCT
iajs-2709	90	5	]	]	X
iajs-2709	90	6	]	]	X
iajs-2709	90	7	(	(	PUNCT
iajs-2709	90	8	21	21	NUM
iajs-2709	90	9	)	)	PUNCT
iajs-2709	90	10	another	another	DET
iajs-2709	90	11	estimator	estimator	NOUN
iajs-2709	90	12	under	under	ADP
iajs-2709	90	13	generalized	generalize	VERB
iajs-2709	90	14	weighted	weight	VERB
iajs-2709	90	15	loss	loss	NOUN
iajs-2709	90	16	function	function	NOUN
iajs-2709	90	17	will	will	AUX
iajs-2709	90	18	be	be	AUX
iajs-2709	90	19	derived	derive	VERB
iajs-2709	90	20	,	,	PUNCT
iajs-2709	90	21	when	when	SCONJ
iajs-2709	90	22	letting	let	VERB
iajs-2709	90	23	k=1	k=1	PRON
iajs-2709	90	24	and	and	CCONJ
iajs-2709	90	25	𝜏	𝜏	X
iajs-2709	90	26	=	=	SYM
iajs-2709	90	27	2	2	NUM
iajs-2709	90	28	,	,	PUNCT
iajs-2709	90	29	gives	give	VERB
iajs-2709	90	30	:	:	PUNCT
iajs-2709	90	31	ϑ̂12	ϑ̂12	NOUN
iajs-2709	91	1	≈	≈	PROPN
iajs-2709	91	2	a0e	a0e	PROPN
iajs-2709	91	3	(	(	PUNCT
iajs-2709	91	4	1	1	NUM
iajs-2709	91	5	ϑ	ϑ	X
iajs-2709	91	6	|x)+a1	|x)+a1	PUNCT
iajs-2709	91	7	a0e	a0e	X
iajs-2709	91	8	(	(	PUNCT
iajs-2709	91	9	1	1	NUM
iajs-2709	91	10	ϑ2|x)+a1e	ϑ2|x)+a1e	NOUN
iajs-2709	91	11	(	(	PUNCT
iajs-2709	91	12	1	1	NUM
iajs-2709	91	13	ϑ	ϑ	NOUN
iajs-2709	91	14	|x	|x	NOUN
iajs-2709	91	15	)	)	PUNCT
iajs-2709	91	16	similarly	similarly	ADV
iajs-2709	91	17	,	,	PUNCT
iajs-2709	91	18	the	the	DET
iajs-2709	91	19	lindley	lindley	NOUN
iajs-2709	91	20	’s	’s	PART
iajs-2709	91	21	approximation	approximation	NOUN
iajs-2709	91	22	for	for	ADP
iajs-2709	91	23	e	e	X
iajs-2709	91	24	[	[	PUNCT
iajs-2709	91	25	1	1	NUM
iajs-2709	91	26	𝜗	𝜗	SYM
iajs-2709	91	27	2	2	NUM
iajs-2709	91	28	|𝑋	|𝑋	NUM
iajs-2709	91	29	]	]	PUNCT
iajs-2709	91	30	is	be	AUX
iajs-2709	91	31	given	give	VERB
iajs-2709	91	32	by	by	ADP
iajs-2709	91	33	:	:	PUNCT
iajs-2709	91	34	e	e	X
iajs-2709	91	35	[	[	PUNCT
iajs-2709	91	36	1	1	NUM
iajs-2709	91	37	𝜗2	𝜗2	NOUN
iajs-2709	91	38	|𝑋	|𝑋	PROPN
iajs-2709	91	39	]	]	X
iajs-2709	92	1	≈	≈	PROPN
iajs-2709	92	2	1	1	NUM
iajs-2709	92	3	ϑ̂2	ϑ̂2	NOUN
iajs-2709	93	1	+	+	CCONJ
iajs-2709	93	2	1	1	NUM
iajs-2709	93	3	2	2	NUM
iajs-2709	93	4	(	(	PUNCT
iajs-2709	93	5	w11σ11	w11σ11	PROPN
iajs-2709	93	6	)	)	PUNCT
iajs-2709	94	1	+	+	CCONJ
iajs-2709	95	1	p1w1σ11	p1w1σ11	ADJ
iajs-2709	95	2	+	+	CCONJ
iajs-2709	95	3	1	1	NUM
iajs-2709	95	4	2	2	NUM
iajs-2709	95	5	(	(	PUNCT
iajs-2709	95	6	l30w1σ11	l30w1σ11	PROPN
iajs-2709	95	7	2	2	NUM
iajs-2709	95	8	)	)	PUNCT
iajs-2709	95	9	+	+	CCONJ
iajs-2709	95	10	1	1	NUM
iajs-2709	95	11	2	2	NUM
iajs-2709	95	12	(	(	PUNCT
iajs-2709	95	13	l12w1σ11σ22	l12w1σ11σ22	PROPN
iajs-2709	95	14	)	)	PUNCT
iajs-2709	95	15	(	(	PUNCT
iajs-2709	95	16	22	22	NUM
iajs-2709	95	17	)	)	PUNCT
iajs-2709	95	18	assuming	assume	VERB
iajs-2709	95	19	that	that	SCONJ
iajs-2709	95	20	,	,	PUNCT
iajs-2709	95	21	w	w	PROPN
iajs-2709	95	22	(	(	PUNCT
iajs-2709	95	23	λ	λ	PROPN
iajs-2709	95	24	,	,	PUNCT
iajs-2709	95	25	ϑ	ϑ	NOUN
iajs-2709	95	26	)	)	PUNCT
iajs-2709	95	27	=	=	SYM
iajs-2709	95	28	1	1	NUM
iajs-2709	95	29	ϑ2	ϑ2	PROPN
iajs-2709	95	30	w1	w1	NOUN
iajs-2709	95	31	=	=	SYM
iajs-2709	95	32	∂w(λ,ϑ	∂w(λ,ϑ	PROPN
iajs-2709	95	33	)	)	PUNCT
iajs-2709	96	1	∂ϑ	∂ϑ	PROPN
iajs-2709	96	2	=	=	SYM
iajs-2709	96	3	−2	−2	PROPN
iajs-2709	96	4	𝜗3	𝜗3	ADJ
iajs-2709	96	5	(	(	PUNCT
iajs-2709	96	6	23	23	NUM
iajs-2709	96	7	)	)	PUNCT
iajs-2709	96	8	w11	w11	NOUN
iajs-2709	96	9	=	=	SYM
iajs-2709	96	10	∂2w(λ,ϑ	∂2w(λ,ϑ	PROPN
iajs-2709	96	11	)	)	PUNCT
iajs-2709	96	12	∂ϑ2	∂ϑ2	NOUN
iajs-2709	96	13	=	=	PUNCT
iajs-2709	96	14	6	6	NUM
iajs-2709	96	15	𝜗4	𝜗4	NOUN
iajs-2709	96	16	(	(	PUNCT
iajs-2709	96	17	24	24	NUM
iajs-2709	96	18	)	)	PUNCT
iajs-2709	96	19	substituting	substituting	NOUN
iajs-2709	96	20	(	(	PUNCT
iajs-2709	96	21	6	6	NUM
iajs-2709	96	22	)	)	PUNCT
iajs-2709	96	23	,	,	PUNCT
iajs-2709	96	24	(	(	PUNCT
iajs-2709	96	25	7	7	NUM
iajs-2709	96	26	)	)	PUNCT
iajs-2709	96	27	,	,	PUNCT
iajs-2709	96	28	(	(	PUNCT
iajs-2709	96	29	8)	8)	NUM
iajs-2709	96	30	,	,	PUNCT
iajs-2709	96	31	(	(	PUNCT
iajs-2709	96	32	9	9	NUM
iajs-2709	96	33	)	)	PUNCT
iajs-2709	96	34	,	,	PUNCT
iajs-2709	96	35	(	(	PUNCT
iajs-2709	96	36	10	10	NUM
iajs-2709	96	37	)	)	PUNCT
iajs-2709	96	38	,	,	PUNCT
iajs-2709	96	39	(	(	PUNCT
iajs-2709	96	40	23	23	NUM
iajs-2709	96	41	)	)	PUNCT
iajs-2709	96	42	and	and	CCONJ
iajs-2709	96	43	(	(	PUNCT
iajs-2709	96	44	24	24	NUM
iajs-2709	96	45	)	)	PUNCT
iajs-2709	96	46	into	into	ADP
iajs-2709	96	47	(	(	PUNCT
iajs-2709	96	48	22	22	NUM
iajs-2709	96	49	)	)	PUNCT
iajs-2709	96	50	,	,	PUNCT
iajs-2709	96	51	yields	yield	VERB
iajs-2709	96	52	:	:	PUNCT
iajs-2709	97	1	e	e	X
iajs-2709	97	2	[	[	PUNCT
iajs-2709	97	3	1	1	NUM
iajs-2709	97	4	𝜗2	𝜗2	NOUN
iajs-2709	97	5	|𝑋	|𝑋	PROPN
iajs-2709	97	6	]	]	X
iajs-2709	98	1	≈	≈	PROPN
iajs-2709	98	2	1	1	NUM
iajs-2709	98	3	ϑ̂2	ϑ̂2	NOUN
iajs-2709	98	4	+	+	CCONJ
iajs-2709	98	5	(	(	PUNCT
iajs-2709	98	6	3	3	NUM
iajs-2709	98	7	�	�	PROPN
iajs-2709	98	8	̂	̂	NOUN
iajs-2709	98	9	�	�	NOUN
iajs-2709	98	10	4	4	NUM
iajs-2709	98	11	+	+	SYM
iajs-2709	98	12	2𝛾	2𝛾	NUM
iajs-2709	98	13	�	�	NOUN
iajs-2709	98	14	̂	̂	NOUN
iajs-2709	98	15	�	�	NOUN
iajs-2709	98	16	3	3	NUM
iajs-2709	98	17	)	)	PUNCT
iajs-2709	98	18	σ11	σ11	NOUN
iajs-2709	98	19	−	−	PROPN
iajs-2709	98	20	1	1	NUM
iajs-2709	98	21	�	�	PROPN
iajs-2709	98	22	̂	̂	NOUN
iajs-2709	98	23	�	�	NOUN
iajs-2709	98	24	3	3	NUM
iajs-2709	98	25	[	[	X
iajs-2709	98	26	(	(	PUNCT
iajs-2709	98	27	l30σ11	l30σ11	NOUN
iajs-2709	98	28	2	2	NUM
iajs-2709	98	29	)	)	PUNCT
iajs-2709	99	1	+	+	CCONJ
iajs-2709	99	2	(	(	PUNCT
iajs-2709	99	3	l12σ11σ22	l12σ11σ22	PROPN
iajs-2709	99	4	)	)	PUNCT
iajs-2709	99	5	]	]	PUNCT
iajs-2709	100	1	(	(	PUNCT
iajs-2709	100	2	25	25	NUM
iajs-2709	100	3	)	)	PUNCT
iajs-2709	100	4	after	after	ADP
iajs-2709	100	5	substituting	substitute	VERB
iajs-2709	100	6	(	(	PUNCT
iajs-2709	100	7	20	20	NUM
iajs-2709	100	8	)	)	PUNCT
iajs-2709	100	9	and	and	CCONJ
iajs-2709	100	10	(	(	PUNCT
iajs-2709	100	11	25	25	NUM
iajs-2709	100	12	)	)	PUNCT
iajs-2709	100	13	into	into	ADP
iajs-2709	100	14	(	(	PUNCT
iajs-2709	100	15	2	2	X
iajs-2709	100	16	)	)	PUNCT
iajs-2709	100	17	give	give	VERB
iajs-2709	100	18	up	up	ADP
iajs-2709	100	19	,	,	PUNCT
iajs-2709	100	20	ϑ̂12	ϑ̂12	PROPN
iajs-2709	100	21	≈	≈	PROPN
iajs-2709	100	22	a1+a0	a1+a0	PROPN
iajs-2709	100	23	[	[	PUNCT
iajs-2709	100	24	1	1	NUM
iajs-2709	100	25	ϑ̂	ϑ̂	NUM
iajs-2709	100	26	+	+	PROPN
iajs-2709	100	27	(	(	PUNCT
iajs-2709	100	28	1	1	NUM
iajs-2709	100	29	�	�	PROPN
iajs-2709	100	30	̂	̂	NOUN
iajs-2709	100	31	�	�	NOUN
iajs-2709	100	32	3	3	NUM
iajs-2709	100	33	+	+	NOUN
iajs-2709	100	34	𝛾	𝛾	PRON
iajs-2709	100	35	�	�	PROPN
iajs-2709	100	36	̂	̂	NOUN
iajs-2709	100	37	�	�	NOUN
iajs-2709	100	38	2)σ11−	2)σ11−	NUM
iajs-2709	100	39	1	1	NUM
iajs-2709	100	40	2	2	NUM
iajs-2709	100	41	�	�	PROPN
iajs-2709	100	42	̂	̂	NOUN
iajs-2709	100	43	�	�	NOUN
iajs-2709	100	44	2	2	NUM
iajs-2709	100	45	[	[	PUNCT
iajs-2709	100	46	(	(	PUNCT
iajs-2709	100	47	l30σ11	l30σ11	NOUN
iajs-2709	100	48	2	2	NUM
iajs-2709	100	49	)	)	PUNCT
iajs-2709	101	1	+	+	PROPN
iajs-2709	101	2	(	(	PUNCT
iajs-2709	101	3	l12σ11σ22	l12σ11σ22	PROPN
iajs-2709	101	4	)	)	PUNCT
iajs-2709	101	5	]	]	X
iajs-2709	101	6	]	]	X
iajs-2709	101	7	(	(	PUNCT
iajs-2709	101	8	𝑎0	𝑎0	PROPN
iajs-2709	101	9	�	�	PROPN
iajs-2709	101	10	̂	̂	VERB
iajs-2709	101	11	�	�	NOUN
iajs-2709	101	12	2	2	NUM
iajs-2709	101	13	+	+	NOUN
iajs-2709	101	14	𝑎1	𝑎1	PROPN
iajs-2709	101	15	�	�	PROPN
iajs-2709	101	16	̂	̂	PROPN
iajs-2709	101	17	�	�	PROPN
iajs-2709	101	18	)	)	PUNCT
iajs-2709	101	19	+	+	PROPN
iajs-2709	101	20	𝑧1𝜎11−	𝑧1𝜎11−	PROPN
iajs-2709	101	21	(	(	PUNCT
iajs-2709	101	22	𝑎0	𝑎0	PROPN
iajs-2709	101	23	�	�	PROPN
iajs-2709	101	24	̂	̂	VERB
iajs-2709	101	25	�	�	NOUN
iajs-2709	101	26	3	3	NUM
iajs-2709	101	27	+	+	NOUN
iajs-2709	101	28	𝑎1	𝑎1	PROPN
iajs-2709	101	29	2	2	NUM
iajs-2709	101	30	�	�	PROPN
iajs-2709	101	31	̂	̂	NOUN
iajs-2709	101	32	�	�	NOUN
iajs-2709	101	33	2)[(l30σ11	2)[(l30σ11	NUM
iajs-2709	101	34	2	2	NUM
iajs-2709	101	35	)	)	PUNCT
iajs-2709	102	1	+	+	PROPN
iajs-2709	102	2	(	(	PUNCT
iajs-2709	102	3	l12σ11σ22	l12σ11σ22	PROPN
iajs-2709	102	4	)	)	PUNCT
iajs-2709	102	5	]	]	PUNCT
iajs-2709	102	6	(	(	PUNCT
iajs-2709	102	7	26	26	NUM
iajs-2709	102	8	)	)	PUNCT
iajs-2709	102	9	whereas	whereas	ADV
iajs-2709	102	10	,	,	PUNCT
iajs-2709	102	11	𝑧1	𝑧1	NOUN
iajs-2709	102	12	=	=	SYM
iajs-2709	102	13	𝑎0	𝑎0	PROPN
iajs-2709	102	14	(	(	PUNCT
iajs-2709	102	15	3	3	NUM
iajs-2709	102	16	�	�	PROPN
iajs-2709	102	17	̂	̂	NOUN
iajs-2709	102	18	�	�	NOUN
iajs-2709	102	19	4	4	NUM
iajs-2709	102	20	+	+	SYM
iajs-2709	102	21	2𝛾	2𝛾	NUM
iajs-2709	102	22	�	�	NOUN
iajs-2709	102	23	̂	̂	VERB
iajs-2709	102	24	�	�	NOUN
iajs-2709	102	25	3	3	NUM
iajs-2709	102	26	)	)	PUNCT
iajs-2709	102	27	+	+	CCONJ
iajs-2709	102	28	𝑎1	𝑎1	ADJ
iajs-2709	102	29	(	(	PUNCT
iajs-2709	102	30	1	1	NUM
iajs-2709	102	31	�	�	PROPN
iajs-2709	102	32	̂	̂	NOUN
iajs-2709	102	33	�	�	NOUN
iajs-2709	102	34	3	3	NUM
iajs-2709	102	35	+	+	CCONJ
iajs-2709	102	36	𝛾	𝛾	PROPN
iajs-2709	102	37	�	�	NOUN
iajs-2709	102	38	̂	̂	VERB
iajs-2709	102	39	�	�	NOUN
iajs-2709	102	40	2	2	NUM
iajs-2709	102	41	)	)	PUNCT
iajs-2709	102	42	.	.	PUNCT
iajs-2709	103	1	another	another	DET
iajs-2709	103	2	estimator	estimator	NOUN
iajs-2709	103	3	under	under	ADP
iajs-2709	103	4	generalized	generalize	VERB
iajs-2709	103	5	weighted	weight	VERB
iajs-2709	103	6	loss	loss	NOUN
iajs-2709	103	7	function	function	NOUN
iajs-2709	103	8	will	will	AUX
iajs-2709	103	9	be	be	AUX
iajs-2709	103	10	derived	derive	VERB
iajs-2709	103	11	,	,	PUNCT
iajs-2709	103	12	when	when	SCONJ
iajs-2709	103	13	letting	let	VERB
iajs-2709	103	14	k=1	k=1	PRON
iajs-2709	103	15	and	and	CCONJ
iajs-2709	103	16	𝜏	𝜏	X
iajs-2709	103	17	=	=	NOUN
iajs-2709	103	18	0	0	NUM
iajs-2709	103	19	,	,	PUNCT
iajs-2709	103	20	gives	give	VERB
iajs-2709	103	21	:	:	PUNCT
iajs-2709	103	22	ϑ̂20	ϑ̂20	PROPN
iajs-2709	103	23	=	=	SYM
iajs-2709	103	24	a0e(ϑ|x)+a1e(ϑ2|x)+a2e(ϑ3|x	a0e(ϑ|x)+a1e(ϑ2|x)+a2e(ϑ3|x	NOUN
iajs-2709	103	25	)	)	PUNCT
iajs-2709	103	26	a0+a1e(ϑ|x)+a2e(ϑ2|x	a0+a1e(ϑ|x)+a2e(ϑ2|x	NOUN
iajs-2709	103	27	)	)	PUNCT
iajs-2709	103	28	similarly	similarly	ADV
iajs-2709	103	29	,	,	PUNCT
iajs-2709	103	30	the	the	DET
iajs-2709	103	31	lindley	lindley	NOUN
iajs-2709	103	32	’s	’s	PART
iajs-2709	103	33	approximation	approximation	NOUN
iajs-2709	103	34	for	for	ADP
iajs-2709	103	35	e[𝜗3|𝑋	e[𝜗3|𝑋	NOUN
iajs-2709	103	36	]	]	X
iajs-2709	103	37	is	be	AUX
iajs-2709	103	38	given	give	VERB
iajs-2709	103	39	by	by	ADP
iajs-2709	103	40	:	:	PUNCT
iajs-2709	103	41	e[𝜗3|𝑋	e[𝜗3|𝑋	X
iajs-2709	103	42	]	]	X
iajs-2709	104	1	≈	≈	PROPN
iajs-2709	104	2	ϑ̂3	ϑ̂3	X
iajs-2709	105	1	+	+	CCONJ
iajs-2709	105	2	1	1	NUM
iajs-2709	105	3	2	2	NUM
iajs-2709	105	4	(	(	PUNCT
iajs-2709	105	5	w11σ11)+p1w1σ11	w11σ11)+p1w1σ11	NOUN
iajs-2709	105	6	+	+	CCONJ
iajs-2709	105	7	1	1	NUM
iajs-2709	105	8	2	2	NUM
iajs-2709	105	9	(	(	PUNCT
iajs-2709	105	10	l30w1σ11	l30w1σ11	PROPN
iajs-2709	105	11	2	2	NUM
iajs-2709	105	12	)	)	PUNCT
iajs-2709	105	13	+	+	CCONJ
iajs-2709	105	14	1	1	NUM
iajs-2709	105	15	2	2	NUM
iajs-2709	105	16	(	(	PUNCT
iajs-2709	105	17	l12w1σ11σ22	l12w1σ11σ22	PROPN
iajs-2709	105	18	)	)	PUNCT
iajs-2709	105	19	(	(	PUNCT
iajs-2709	105	20	27	27	NUM
iajs-2709	105	21	)	)	PUNCT
iajs-2709	105	22	ibn	ibn	PROPN
iajs-2709	105	23	al	al	PROPN
iajs-2709	105	24	-	-	PUNCT
iajs-2709	105	25	haitham	haitham	PROPN
iajs-2709	105	26	jour	jour	X
iajs-2709	105	27	.	.	PROPN
iajs-2709	106	1	for	for	ADP
iajs-2709	106	2	pure	pure	ADJ
iajs-2709	106	3	&	&	CCONJ
iajs-2709	106	4	appl	appl	PROPN
iajs-2709	106	5	.	.	PUNCT
iajs-2709	107	1	sci	sci	PROPN
iajs-2709	107	2	.	.	PROPN
iajs-2709	108	1	34(4)2021	34(4)2021	NUM
iajs-2709	108	2	121	121	NUM
iajs-2709	108	3	assuming	assume	VERB
iajs-2709	108	4	that	that	SCONJ
iajs-2709	108	5	,	,	PUNCT
iajs-2709	108	6	w	w	PROPN
iajs-2709	108	7	(	(	PUNCT
iajs-2709	108	8	λ	λ	PROPN
iajs-2709	108	9	,	,	PUNCT
iajs-2709	108	10	ϑ	ϑ	NOUN
iajs-2709	108	11	)	)	PUNCT
iajs-2709	108	12	=	=	SYM
iajs-2709	108	13	𝜗3	𝜗3	ADJ
iajs-2709	108	14	w1	w1	NOUN
iajs-2709	108	15	=	=	SYM
iajs-2709	108	16	∂w(λ,ϑ	∂w(λ,ϑ	PROPN
iajs-2709	108	17	)	)	PUNCT
iajs-2709	108	18	∂ϑ	∂ϑ	PROPN
iajs-2709	108	19	=	=	SYM
iajs-2709	108	20	3ϑ2	3ϑ2	NUM
iajs-2709	108	21	(	(	PUNCT
iajs-2709	108	22	28	28	NUM
iajs-2709	108	23	)	)	PUNCT
iajs-2709	108	24	w11	w11	NOUN
iajs-2709	108	25	=	=	SYM
iajs-2709	108	26	∂2w(λ,ϑ	∂2w(λ,ϑ	PROPN
iajs-2709	108	27	)	)	PUNCT
iajs-2709	108	28	∂ϑ2	∂ϑ2	NOUN
iajs-2709	108	29	=	=	SYM
iajs-2709	108	30	6ϑ	6ϑ	NOUN
iajs-2709	108	31	(	(	PUNCT
iajs-2709	108	32	29	29	NUM
iajs-2709	108	33	)	)	PUNCT
iajs-2709	108	34	substituting	substitute	VERB
iajs-2709	108	35	(	(	PUNCT
iajs-2709	108	36	6	6	NUM
iajs-2709	108	37	)	)	PUNCT
iajs-2709	108	38	,	,	PUNCT
iajs-2709	108	39	(	(	PUNCT
iajs-2709	108	40	7	7	NUM
iajs-2709	108	41	)	)	PUNCT
iajs-2709	108	42	,	,	PUNCT
iajs-2709	108	43	(	(	PUNCT
iajs-2709	108	44	8)	8)	NUM
iajs-2709	108	45	,	,	PUNCT
iajs-2709	108	46	(	(	PUNCT
iajs-2709	108	47	9	9	NUM
iajs-2709	108	48	)	)	PUNCT
iajs-2709	108	49	,	,	PUNCT
iajs-2709	108	50	(	(	PUNCT
iajs-2709	108	51	10	10	NUM
iajs-2709	108	52	)	)	PUNCT
iajs-2709	108	53	,	,	PUNCT
iajs-2709	108	54	(	(	PUNCT
iajs-2709	108	55	28	28	NUM
iajs-2709	108	56	)	)	PUNCT
iajs-2709	108	57	and	and	CCONJ
iajs-2709	108	58	(	(	PUNCT
iajs-2709	108	59	29	29	NUM
iajs-2709	108	60	)	)	PUNCT
iajs-2709	108	61	into	into	ADP
iajs-2709	108	62	(	(	PUNCT
iajs-2709	108	63	27	27	NUM
iajs-2709	108	64	)	)	PUNCT
iajs-2709	108	65	,	,	PUNCT
iajs-2709	108	66	yields	yield	NOUN
iajs-2709	108	67	:	:	PUNCT
iajs-2709	108	68	e[𝜗3|𝑋	e[𝜗3|𝑋	X
iajs-2709	108	69	]	]	X
iajs-2709	109	1	≈	≈	PROPN
iajs-2709	109	2	ϑ̂3	ϑ̂3	X
iajs-2709	110	1	+	+	CCONJ
iajs-2709	110	2	(	(	PUNCT
iajs-2709	110	3	3	3	NUM
iajs-2709	110	4	�	�	NOUN
iajs-2709	110	5	̂	̂	SYM
iajs-2709	110	6	�	�	NOUN
iajs-2709	110	7	−	−	PROPN
iajs-2709	110	8	3γ	3γ	NUM
iajs-2709	110	9	�	�	PROPN
iajs-2709	110	10	̂	̂	SYM
iajs-2709	110	11	�	�	NOUN
iajs-2709	110	12	2)σ11	2)σ11	PROPN
iajs-2709	110	13	+	+	CCONJ
iajs-2709	110	14	3	3	NUM
iajs-2709	110	15	�	�	PROPN
iajs-2709	110	16	̂	̂	VERB
iajs-2709	110	17	�	�	NOUN
iajs-2709	110	18	2	2	NUM
iajs-2709	110	19	2	2	NUM
iajs-2709	110	20	[	[	X
iajs-2709	110	21	(	(	PUNCT
iajs-2709	110	22	l30σ11	l30σ11	NOUN
iajs-2709	110	23	2	2	NUM
iajs-2709	110	24	)	)	PUNCT
iajs-2709	110	25	+	+	CCONJ
iajs-2709	110	26	(	(	PUNCT
iajs-2709	110	27	l12σ11σ22	l12σ11σ22	PROPN
iajs-2709	110	28	)	)	PUNCT
iajs-2709	110	29	]	]	PUNCT
iajs-2709	110	30	(	(	PUNCT
iajs-2709	110	31	30	30	NUM
iajs-2709	110	32	)	)	PUNCT
iajs-2709	110	33	after	after	ADP
iajs-2709	110	34	substituting	substitute	VERB
iajs-2709	110	35	(	(	PUNCT
iajs-2709	110	36	11	11	NUM
iajs-2709	110	37	)	)	PUNCT
iajs-2709	110	38	,	,	PUNCT
iajs-2709	110	39	(	(	PUNCT
iajs-2709	110	40	15	15	NUM
iajs-2709	110	41	)	)	PUNCT
iajs-2709	110	42	and	and	CCONJ
iajs-2709	110	43	(	(	PUNCT
iajs-2709	110	44	30	30	NUM
iajs-2709	110	45	)	)	PUNCT
iajs-2709	110	46	into	into	ADP
iajs-2709	110	47	(	(	PUNCT
iajs-2709	110	48	2	2	X
iajs-2709	110	49	)	)	PUNCT
iajs-2709	110	50	give	give	VERB
iajs-2709	110	51	up	up	ADP
iajs-2709	110	52	,	,	PUNCT
iajs-2709	110	53	ϑ̂20	ϑ̂20	PROPN
iajs-2709	110	54	=	=	SYM
iajs-2709	110	55	𝑧4	𝑧4	PROPN
iajs-2709	110	56	+	+	CCONJ
iajs-2709	110	57	𝑧3σ11	𝑧3σ11	PROPN
iajs-2709	110	58	+	+	CCONJ
iajs-2709	110	59	𝑧2[(l30σ11	𝑧2[(l30σ11	PROPN
iajs-2709	110	60	2	2	NUM
iajs-2709	110	61	)	)	PUNCT
iajs-2709	110	62	+	+	CCONJ
iajs-2709	110	63	(	(	PUNCT
iajs-2709	110	64	l12σ11σ22	l12σ11σ22	PROPN
iajs-2709	110	65	)	)	PUNCT
iajs-2709	110	66	]	]	PUNCT
iajs-2709	111	1	𝑧5	𝑧5	PROPN
iajs-2709	111	2	+	+	CCONJ
iajs-2709	111	3	𝑧6	𝑧6	PROPN
iajs-2709	111	4	σ11	σ11	ADJ
iajs-2709	111	5	+	+	CCONJ
iajs-2709	111	6	(	(	PUNCT
iajs-2709	111	7	𝑎1	𝑎1	ADP
iajs-2709	111	8	2	2	NUM
iajs-2709	111	9	+	+	NUM
iajs-2709	111	10	𝑎2	𝑎2	PROPN
iajs-2709	111	11	�	�	PROPN
iajs-2709	111	12	̂	̂	NUM
iajs-2709	111	13	�	�	NOUN
iajs-2709	111	14	)	)	PUNCT
iajs-2709	112	1	[	[	X
iajs-2709	112	2	(	(	PUNCT
iajs-2709	112	3	l30σ11	l30σ11	NOUN
iajs-2709	112	4	2	2	NUM
iajs-2709	112	5	)	)	PUNCT
iajs-2709	113	1	+	+	CCONJ
iajs-2709	113	2	(	(	PUNCT
iajs-2709	113	3	l12σ11σ22	l12σ11σ22	PROPN
iajs-2709	113	4	)	)	PUNCT
iajs-2709	113	5	]	]	PUNCT
iajs-2709	114	1	(	(	PUNCT
iajs-2709	114	2	31	31	NUM
iajs-2709	114	3	)	)	PUNCT
iajs-2709	114	4	where	where	SCONJ
iajs-2709	114	5	,	,	PUNCT
iajs-2709	114	6	𝑧2	𝑧2	PROPN
iajs-2709	114	7	=	=	SYM
iajs-2709	114	8	𝑎0	𝑎0	PROPN
iajs-2709	114	9	2	2	NUM
iajs-2709	114	10	+	+	CCONJ
iajs-2709	114	11	𝑎1	𝑎1	PROPN
iajs-2709	114	12	�	�	PROPN
iajs-2709	114	13	̂	̂	SYM
iajs-2709	114	14	�	�	NOUN
iajs-2709	114	15	−	−	ADP
iajs-2709	114	16	3𝑎2	3𝑎2	NUM
iajs-2709	114	17	�	�	NOUN
iajs-2709	114	18	̂	̂	VERB
iajs-2709	114	19	�	�	NOUN
iajs-2709	114	20	2	2	NUM
iajs-2709	114	21	2	2	NUM
iajs-2709	114	22	,	,	PUNCT
iajs-2709	114	23	𝑧3	𝑧3	NOUN
iajs-2709	114	24	=	=	SYM
iajs-2709	114	25	𝑎0𝛾	𝑎0𝛾	PROPN
iajs-2709	114	26	+	+	CCONJ
iajs-2709	114	27	𝑎1(1	𝑎1(1	ADJ
iajs-2709	114	28	−	−	NOUN
iajs-2709	114	29	2𝛾	2𝛾	NOUN
iajs-2709	114	30	)	)	PUNCT
iajs-2709	115	1	+	+	CCONJ
iajs-2709	115	2	𝑎2(3	𝑎2(3	PROPN
iajs-2709	115	3	�	�	PROPN
iajs-2709	115	4	̂	̂	PROPN
iajs-2709	115	5	�	�	PROPN
iajs-2709	115	6	−	−	PROPN
iajs-2709	115	7	3𝛾	3𝛾	NUM
iajs-2709	115	8	�	�	PROPN
iajs-2709	115	9	̂	̂	VERB
iajs-2709	115	10	�	�	NOUN
iajs-2709	115	11	2	2	NUM
iajs-2709	115	12	)	)	PUNCT
iajs-2709	115	13	𝑧4	𝑧4	NOUN
iajs-2709	115	14	=	=	PUNCT
iajs-2709	115	15	𝑎0ϑ̂	𝑎0ϑ̂	PROPN
iajs-2709	115	16	+	+	CCONJ
iajs-2709	115	17	𝑎1ϑ̂2	𝑎1ϑ̂2	PROPN
iajs-2709	116	1	+	+	CCONJ
iajs-2709	116	2	𝑎2ϑ̂3	𝑎2ϑ̂3	PRON
iajs-2709	116	3	,	,	PUNCT
iajs-2709	116	4	𝑧5	𝑧5	PROPN
iajs-2709	116	5	=	=	SYM
iajs-2709	116	6	𝑎0	𝑎0	PROPN
iajs-2709	116	7	+	+	CCONJ
iajs-2709	116	8	𝑎1ϑ̂	𝑎1ϑ̂	ADJ
iajs-2709	116	9	+	+	NOUN
iajs-2709	116	10	𝑎2	𝑎2	NOUN
iajs-2709	116	11	ϑ̂2	ϑ̂2	NOUN
iajs-2709	116	12	,	,	PUNCT
iajs-2709	116	13	𝑧6	𝑧6	NOUN
iajs-2709	116	14	=	=	SYM
iajs-2709	116	15	−𝑎1𝛾	−𝑎1𝛾	PUNCT
iajs-2709	117	1	+	+	CCONJ
iajs-2709	117	2	𝑎2(1	𝑎2(1	NOUN
iajs-2709	117	3	−	−	NOUN
iajs-2709	117	4	2𝛾	2𝛾	NOUN
iajs-2709	117	5	�	�	PROPN
iajs-2709	117	6	̂	̂	SYM
iajs-2709	117	7	�	�	NOUN
iajs-2709	117	8	)	)	PUNCT
iajs-2709	117	9	now	now	ADV
iajs-2709	117	10	,	,	PUNCT
iajs-2709	117	11	when	when	SCONJ
iajs-2709	117	12	k=2	k=2	PROPN
iajs-2709	117	13	and	and	CCONJ
iajs-2709	117	14	𝜏	𝜏	X
iajs-2709	117	15	=	=	NOUN
iajs-2709	117	16	1	1	NUM
iajs-2709	117	17	,	,	PUNCT
iajs-2709	117	18	gives	give	VERB
iajs-2709	117	19	:	:	PUNCT
iajs-2709	117	20	ϑ̂21	ϑ̂21	PROPN
iajs-2709	117	21	=	=	SYM
iajs-2709	117	22	a0+a1e(ϑ|x)+a2e(ϑ2|x	a0+a1e(ϑ|x)+a2e(ϑ2|x	NOUN
iajs-2709	117	23	)	)	PUNCT
iajs-2709	118	1	a0e	a0e	PROPN
iajs-2709	118	2	(	(	PUNCT
iajs-2709	118	3	1	1	NUM
iajs-2709	118	4	ϑ	ϑ	X
iajs-2709	118	5	|x)+a1+a2e(ϑ|x	|x)+a1+a2e(ϑ|x	PROPN
iajs-2709	118	6	)	)	PUNCT
iajs-2709	118	7	after	after	ADP
iajs-2709	118	8	substituting	substitute	VERB
iajs-2709	118	9	(	(	PUNCT
iajs-2709	118	10	11	11	NUM
iajs-2709	118	11	)	)	PUNCT
iajs-2709	118	12	,	,	PUNCT
iajs-2709	118	13	(	(	PUNCT
iajs-2709	118	14	15	15	NUM
iajs-2709	118	15	)	)	PUNCT
iajs-2709	118	16	and	and	CCONJ
iajs-2709	118	17	(	(	PUNCT
iajs-2709	118	18	20	20	NUM
iajs-2709	118	19	)	)	PUNCT
iajs-2709	118	20	into	into	ADP
iajs-2709	118	21	(	(	PUNCT
iajs-2709	118	22	2	2	NUM
iajs-2709	118	23	)	)	PUNCT
iajs-2709	118	24	,	,	PUNCT
iajs-2709	118	25	yields	yield	NOUN
iajs-2709	118	26	:	:	PUNCT
iajs-2709	118	27	ϑ̂21	ϑ̂21	PROPN
iajs-2709	118	28	=	=	SYM
iajs-2709	118	29	𝑧5+𝑧6σ11	𝑧5+𝑧6σ11	PRON
iajs-2709	118	30	+	+	PROPN
iajs-2709	118	31	(	(	PUNCT
iajs-2709	118	32	𝑎1	𝑎1	PROPN
iajs-2709	118	33	2	2	NUM
iajs-2709	118	34	+	+	ADJ
iajs-2709	118	35	𝑎2	𝑎2	PROPN
iajs-2709	118	36	�	�	PROPN
iajs-2709	118	37	̂	̂	SYM
iajs-2709	118	38	�	�	NOUN
iajs-2709	118	39	)[(l30σ11	)[(l30σ11	PUNCT
iajs-2709	118	40	2	2	NUM
iajs-2709	118	41	)	)	PUNCT
iajs-2709	119	1	+	+	PROPN
iajs-2709	119	2	(	(	PUNCT
iajs-2709	119	3	l12σ11σ22	l12σ11σ22	PROPN
iajs-2709	119	4	)	)	PUNCT
iajs-2709	119	5	]	]	PUNCT
iajs-2709	119	6	(	(	PUNCT
iajs-2709	119	7	𝑎0	𝑎0	ADV
iajs-2709	119	8	ϑ̂	ϑ̂	VERB
iajs-2709	119	9	+	+	ADJ
iajs-2709	119	10	a1+𝑎2ϑ̂)+	a1+𝑎2ϑ̂)+	ADJ
iajs-2709	119	11	(	(	PUNCT
iajs-2709	119	12	𝑎0	𝑎0	PROPN
iajs-2709	119	13	�	�	PROPN
iajs-2709	119	14	̂	̂	VERB
iajs-2709	119	15	�	�	NOUN
iajs-2709	119	16	3	3	NUM
iajs-2709	119	17	+	+	NUM
iajs-2709	119	18	𝑎0𝛾	𝑎0𝛾	PROPN
iajs-2709	119	19	�	�	NOUN
iajs-2709	119	20	̂	̂	NOUN
iajs-2709	119	21	�	�	NOUN
iajs-2709	119	22	2	2	NUM
iajs-2709	119	23	−𝑎2𝛾)σ11	−𝑎2𝛾)σ11	PROPN
iajs-2709	119	24	+	+	PROPN
iajs-2709	119	25	(	(	PUNCT
iajs-2709	119	26	𝑎0	𝑎0	PROPN
iajs-2709	119	27	2	2	NUM
iajs-2709	119	28	�	�	PROPN
iajs-2709	119	29	̂	̂	VERB
iajs-2709	119	30	�	�	NOUN
iajs-2709	119	31	2	2	NUM
iajs-2709	119	32	+	+	NOUN
iajs-2709	119	33	𝑎2	𝑎2	NOUN
iajs-2709	119	34	2	2	NUM
iajs-2709	119	35	)	)	PUNCT
iajs-2709	119	36	[	[	X
iajs-2709	119	37	(	(	PUNCT
iajs-2709	119	38	l30σ11	l30σ11	NOUN
iajs-2709	119	39	2	2	NUM
iajs-2709	119	40	)	)	PUNCT
iajs-2709	120	1	+	+	PROPN
iajs-2709	120	2	(	(	PUNCT
iajs-2709	120	3	l12σ11σ22	l12σ11σ22	PROPN
iajs-2709	120	4	)	)	PUNCT
iajs-2709	120	5	]	]	PUNCT
iajs-2709	120	6	(	(	PUNCT
iajs-2709	120	7	32	32	NUM
iajs-2709	120	8	)	)	PUNCT
iajs-2709	120	9	where	where	SCONJ
iajs-2709	120	10	,	,	PUNCT
iajs-2709	120	11	𝑧5	𝑧5	PROPN
iajs-2709	120	12	=	=	SYM
iajs-2709	120	13	𝑎0	𝑎0	PROPN
iajs-2709	120	14	+	+	CCONJ
iajs-2709	120	15	𝑎1ϑ̂	𝑎1ϑ̂	ADJ
iajs-2709	121	1	+	+	NOUN
iajs-2709	121	2	𝑎2	𝑎2	NOUN
iajs-2709	121	3	ϑ̂2	ϑ̂2	NOUN
iajs-2709	121	4	,	,	PUNCT
iajs-2709	121	5	𝑧6	𝑧6	PROPN
iajs-2709	121	6	=	=	SYM
iajs-2709	121	7	−𝑎1𝛾	−𝑎1𝛾	PUNCT
iajs-2709	121	8	+	+	CCONJ
iajs-2709	121	9	𝑎2(1	𝑎2(1	NOUN
iajs-2709	121	10	−	−	NOUN
iajs-2709	121	11	2𝛾	2𝛾	NOUN
iajs-2709	121	12	�	�	PROPN
iajs-2709	121	13	̂	̂	NUM
iajs-2709	121	14	�	�	NOUN
iajs-2709	121	15	)	)	PUNCT
iajs-2709	121	16	when	when	SCONJ
iajs-2709	121	17	k=2	k=2	PROPN
iajs-2709	121	18	and	and	CCONJ
iajs-2709	121	19	𝜏	𝜏	X
iajs-2709	121	20	=	=	SYM
iajs-2709	121	21	2	2	NUM
iajs-2709	121	22	,	,	PUNCT
iajs-2709	121	23	gives	give	VERB
iajs-2709	121	24	:	:	PUNCT
iajs-2709	121	25	ϑ̂22	ϑ̂22	PROPN
iajs-2709	121	26	=	=	SYM
iajs-2709	121	27	a0e	a0e	NOUN
iajs-2709	121	28	(	(	PUNCT
iajs-2709	121	29	1	1	NUM
iajs-2709	121	30	ϑ	ϑ	X
iajs-2709	121	31	|x)+a1+a2e(ϑ|x	|x)+a1+a2e(ϑ|x	PROPN
iajs-2709	121	32	)	)	PUNCT
iajs-2709	121	33	a0e	a0e	PROPN
iajs-2709	121	34	(	(	PUNCT
iajs-2709	121	35	1	1	NUM
iajs-2709	121	36	ϑ2|x)+a1e	ϑ2|x)+a1e	NOUN
iajs-2709	121	37	(	(	PUNCT
iajs-2709	121	38	1	1	NUM
iajs-2709	121	39	ϑ	ϑ	NOUN
iajs-2709	121	40	|x)+a2	|x)+a2	NUM
iajs-2709	121	41	after	after	ADP
iajs-2709	121	42	substituting	substitute	VERB
iajs-2709	121	43	(	(	PUNCT
iajs-2709	121	44	11	11	NUM
iajs-2709	121	45	)	)	PUNCT
iajs-2709	121	46	,	,	PUNCT
iajs-2709	121	47	(	(	PUNCT
iajs-2709	121	48	20	20	NUM
iajs-2709	121	49	)	)	PUNCT
iajs-2709	121	50	and	and	CCONJ
iajs-2709	121	51	(	(	PUNCT
iajs-2709	121	52	25	25	NUM
iajs-2709	121	53	)	)	PUNCT
iajs-2709	121	54	into	into	ADP
iajs-2709	121	55	(	(	PUNCT
iajs-2709	121	56	2	2	NUM
iajs-2709	121	57	)	)	PUNCT
iajs-2709	121	58	,	,	PUNCT
iajs-2709	121	59	yields	yield	NOUN
iajs-2709	121	60	:	:	PUNCT
iajs-2709	121	61	ϑ̂22	ϑ̂22	X
iajs-2709	121	62	=	=	SYM
iajs-2709	121	63	(	(	PUNCT
iajs-2709	121	64	𝑎0	𝑎0	ADV
iajs-2709	121	65	ϑ̂	ϑ̂	VERB
iajs-2709	122	1	+	+	ADJ
iajs-2709	122	2	a1+𝑎2ϑ̂)+	a1+𝑎2ϑ̂)+	ADJ
iajs-2709	122	3	(	(	PUNCT
iajs-2709	122	4	𝑎0	𝑎0	PROPN
iajs-2709	122	5	�	�	PROPN
iajs-2709	122	6	̂	̂	VERB
iajs-2709	122	7	�	�	NOUN
iajs-2709	122	8	3	3	NUM
iajs-2709	122	9	+	+	NUM
iajs-2709	122	10	𝑎0𝛾	𝑎0𝛾	PROPN
iajs-2709	122	11	�	�	NOUN
iajs-2709	122	12	̂	̂	NOUN
iajs-2709	122	13	�	�	NOUN
iajs-2709	122	14	2	2	NUM
iajs-2709	122	15	−𝑎2𝛾)σ11	−𝑎2𝛾)σ11	PROPN
iajs-2709	122	16	+	+	PROPN
iajs-2709	122	17	(	(	PUNCT
iajs-2709	122	18	𝑎0	𝑎0	PROPN
iajs-2709	122	19	2	2	NUM
iajs-2709	122	20	�	�	PROPN
iajs-2709	122	21	̂	̂	VERB
iajs-2709	122	22	�	�	NOUN
iajs-2709	122	23	2	2	NUM
iajs-2709	122	24	+	+	NOUN
iajs-2709	122	25	𝑎2	𝑎2	NOUN
iajs-2709	122	26	2	2	NUM
iajs-2709	122	27	)	)	PUNCT
iajs-2709	122	28	[	[	X
iajs-2709	122	29	(	(	PUNCT
iajs-2709	122	30	l30σ11	l30σ11	NOUN
iajs-2709	122	31	2	2	NUM
iajs-2709	122	32	)	)	PUNCT
iajs-2709	123	1	+	+	PROPN
iajs-2709	123	2	(	(	PUNCT
iajs-2709	123	3	l12σ11σ22	l12σ11σ22	PROPN
iajs-2709	123	4	)	)	PUNCT
iajs-2709	123	5	]	]	PUNCT
iajs-2709	123	6	(	(	PUNCT
iajs-2709	123	7	𝑎0	𝑎0	ADV
iajs-2709	123	8	ϑ̂2̂	ϑ̂2̂	VERB
iajs-2709	123	9	+	+	NOUN
iajs-2709	123	10	𝑎1	𝑎1	PROPN
iajs-2709	123	11	ϑ̂	ϑ̂	PROPN
iajs-2709	123	12	+	+	PUNCT
iajs-2709	124	1	𝑎2)+𝑦1σ11	𝑎2)+𝑦1σ11	NUM
iajs-2709	124	2	+	+	PROPN
iajs-2709	124	3	(	(	PUNCT
iajs-2709	124	4	−𝑎0	−𝑎0	PROPN
iajs-2709	124	5	�	�	PROPN
iajs-2709	124	6	̂	̂	NOUN
iajs-2709	124	7	�	�	NOUN
iajs-2709	124	8	3	3	NUM
iajs-2709	124	9	+	+	CCONJ
iajs-2709	124	10	𝑎1	𝑎1	PROPN
iajs-2709	124	11	2	2	NUM
iajs-2709	124	12	�	�	PROPN
iajs-2709	124	13	̂	̂	NOUN
iajs-2709	124	14	�	�	NOUN
iajs-2709	124	15	2)[(l30σ11	2)[(l30σ11	NUM
iajs-2709	124	16	2	2	NUM
iajs-2709	124	17	)	)	PUNCT
iajs-2709	124	18	+	+	PROPN
iajs-2709	124	19	(	(	PUNCT
iajs-2709	124	20	l12σ11σ22	l12σ11σ22	PROPN
iajs-2709	124	21	)	)	PUNCT
iajs-2709	124	22	]	]	PUNCT
iajs-2709	124	23	(	(	PUNCT
iajs-2709	124	24	33	33	NUM
iajs-2709	124	25	)	)	PUNCT
iajs-2709	124	26	where	where	SCONJ
iajs-2709	124	27	,	,	PUNCT
iajs-2709	124	28	𝑦1	𝑦1	PROPN
iajs-2709	124	29	=	=	SYM
iajs-2709	124	30	𝑎0	𝑎0	PROPN
iajs-2709	124	31	(	(	PUNCT
iajs-2709	124	32	3	3	NUM
iajs-2709	124	33	�	�	PROPN
iajs-2709	124	34	̂	̂	NOUN
iajs-2709	124	35	�	�	NOUN
iajs-2709	124	36	4	4	NUM
iajs-2709	124	37	+	+	CCONJ
iajs-2709	124	38	𝑎1	𝑎1	PROPN
iajs-2709	124	39	�	�	NOUN
iajs-2709	124	40	̂	̂	VERB
iajs-2709	124	41	�	�	NOUN
iajs-2709	124	42	3	3	NUM
iajs-2709	124	43	)	)	PUNCT
iajs-2709	124	44	+	+	CCONJ
iajs-2709	124	45	𝑎1	𝑎1	INTJ
iajs-2709	124	46	(	(	PUNCT
iajs-2709	124	47	1	1	NUM
iajs-2709	124	48	�	�	PROPN
iajs-2709	124	49	̂	̂	NOUN
iajs-2709	124	50	�	�	NOUN
iajs-2709	124	51	3	3	NUM
iajs-2709	124	52	+	+	CCONJ
iajs-2709	124	53	𝛾	𝛾	PROPN
iajs-2709	124	54	�	�	NOUN
iajs-2709	124	55	̂	̂	VERB
iajs-2709	124	56	�	�	NOUN
iajs-2709	124	57	2	2	NUM
iajs-2709	124	58	)	)	PUNCT
iajs-2709	124	59	.	.	PUNCT
iajs-2709	125	1	bbayesian	bbayesian	PROPN
iajs-2709	125	2	estimation	estimation	NOUN
iajs-2709	125	3	for	for	ADP
iajs-2709	125	4	𝝀	𝝀	NOUN
iajs-2709	125	5	under	under	ADP
iajs-2709	125	6	generalized	generalize	VERB
iajs-2709	125	7	weighted	weight	VERB
iajs-2709	125	8	loss	loss	NOUN
iajs-2709	125	9	function	function	NOUN
iajs-2709	125	10	we	we	PRON
iajs-2709	125	11	can	can	AUX
iajs-2709	125	12	obtain	obtain	VERB
iajs-2709	125	13	bayesian	bayesian	NOUN
iajs-2709	125	14	estimation	estimation	NOUN
iajs-2709	125	15	for	for	ADP
iajs-2709	125	16	λ	λ	PROPN
iajs-2709	125	17	under	under	ADP
iajs-2709	125	18	generalized	generalize	VERB
iajs-2709	125	19	weighted	weight	VERB
iajs-2709	125	20	loss	loss	NOUN
iajs-2709	125	21	function	function	NOUN
iajs-2709	125	22	,	,	PUNCT
iajs-2709	125	23	when	when	SCONJ
iajs-2709	125	24	letting	let	VERB
iajs-2709	125	25	,	,	PUNCT
iajs-2709	125	26	k=1	k=1	PROPN
iajs-2709	125	27	and	and	CCONJ
iajs-2709	125	28	𝜏	𝜏	X
iajs-2709	125	29	=	=	SYM
iajs-2709	125	30	0	0	NUM
iajs-2709	125	31	,	,	PUNCT
iajs-2709	125	32	gives	give	VERB
iajs-2709	125	33	:	:	PUNCT
iajs-2709	125	34	ibn	ibn	PROPN
iajs-2709	125	35	al	al	PROPN
iajs-2709	125	36	-	-	PUNCT
iajs-2709	125	37	haitham	haitham	PROPN
iajs-2709	125	38	jour	jour	X
iajs-2709	125	39	.	.	PROPN
iajs-2709	126	1	for	for	ADP
iajs-2709	126	2	pure	pure	ADJ
iajs-2709	126	3	&	&	CCONJ
iajs-2709	126	4	appl	appl	PROPN
iajs-2709	126	5	.	.	PUNCT
iajs-2709	127	1	sci	sci	PROPN
iajs-2709	127	2	.	.	PROPN
iajs-2709	128	1	34(4)2021	34(4)2021	NUM
iajs-2709	128	2	122	122	NUM
iajs-2709	128	3	λ̂10	λ̂10	NOUN
iajs-2709	128	4	=	=	SYM
iajs-2709	128	5	a0e(λ|x	a0e(λ|x	NOUN
iajs-2709	128	6	)	)	PUNCT
iajs-2709	129	1	+	+	CCONJ
iajs-2709	129	2	a1e(λ2|x	a1e(λ2|x	X
iajs-2709	129	3	)	)	PUNCT
iajs-2709	129	4	a0	a0	NOUN
iajs-2709	129	5	+	+	CCONJ
iajs-2709	129	6	a1e(λ|x	a1e(λ|x	PROPN
iajs-2709	129	7	)	)	PUNCT
iajs-2709	130	1	the	the	DET
iajs-2709	130	2	lindley	lindley	NOUN
iajs-2709	130	3	’s	’s	PART
iajs-2709	130	4	approximation	approximation	NOUN
iajs-2709	130	5	for	for	ADP
iajs-2709	130	6	e[𝜆	e[𝜆	NOUN
iajs-2709	130	7	│	│	ADJ
iajs-2709	130	8	𝑋	𝑋	NOUN
iajs-2709	130	9	]	]	PUNCT
iajs-2709	130	10	is	be	AUX
iajs-2709	130	11	given	give	VERB
iajs-2709	130	12	by	by	ADP
iajs-2709	130	13	:	:	PUNCT
iajs-2709	130	14	e[𝜆	e[𝜆	ADJ
iajs-2709	130	15	│	│	ADJ
iajs-2709	130	16	𝑋	𝑋	PROPN
iajs-2709	130	17	]	]	X
iajs-2709	130	18	≈	≈	PROPN
iajs-2709	130	19	λ̂	λ̂	X
iajs-2709	131	1	+	+	CCONJ
iajs-2709	131	2	p2w2σ22	p2w2σ22	PROPN
iajs-2709	132	1	+	+	CCONJ
iajs-2709	132	2	1	1	NUM
iajs-2709	132	3	2	2	NUM
iajs-2709	132	4	(	(	PUNCT
iajs-2709	132	5	l03w2σ22	l03w2σ22	PROPN
iajs-2709	132	6	2	2	NUM
iajs-2709	132	7	)	)	PUNCT
iajs-2709	133	1	+	+	CCONJ
iajs-2709	133	2	1	1	NUM
iajs-2709	133	3	2	2	NUM
iajs-2709	133	4	(	(	PUNCT
iajs-2709	133	5	l21w2σ11σ22	l21w2σ11σ22	PROPN
iajs-2709	133	6	)	)	PUNCT
iajs-2709	133	7	(	(	PUNCT
iajs-2709	133	8	34	34	NUM
iajs-2709	133	9	)	)	PUNCT
iajs-2709	133	10	where	where	SCONJ
iajs-2709	133	11	,	,	PUNCT
iajs-2709	133	12	assume	assume	VERB
iajs-2709	133	13	that	that	SCONJ
iajs-2709	133	14	,	,	PUNCT
iajs-2709	133	15	w(λ	w(λ	PROPN
iajs-2709	133	16	,	,	PUNCT
iajs-2709	133	17	ϑ	ϑ	NOUN
iajs-2709	133	18	)	)	PUNCT
iajs-2709	133	19	=	=	SYM
iajs-2709	133	20	λ	λ	NOUN
iajs-2709	133	21	w1	w1	NOUN
iajs-2709	133	22	=	=	SYM
iajs-2709	133	23	∂w(λ	∂w(λ	PROPN
iajs-2709	133	24	,	,	PUNCT
iajs-2709	133	25	ϑ	ϑ	NOUN
iajs-2709	133	26	)	)	PUNCT
iajs-2709	133	27	∂ϑ	∂ϑ	PROPN
iajs-2709	133	28	=	=	SYM
iajs-2709	133	29	∂	∂	NUM
iajs-2709	134	1	∂ϑ	∂ϑ	PROPN
iajs-2709	134	2	(	(	PUNCT
iajs-2709	134	3	λ	λ	NOUN
iajs-2709	134	4	)	)	PUNCT
iajs-2709	134	5	=	=	SYM
iajs-2709	134	6	0	0	PUNCT
iajs-2709	134	7	=	=	SYM
iajs-2709	134	8	w11	w11	PROPN
iajs-2709	134	9	w2	w2	PROPN
iajs-2709	134	10	=	=	SYM
iajs-2709	134	11	∂w(λ,ϑ	∂w(λ,ϑ	PROPN
iajs-2709	134	12	)	)	PUNCT
iajs-2709	134	13	∂λ	∂λ	PROPN
iajs-2709	134	14	=	=	SYM
iajs-2709	134	15	1	1	NUM
iajs-2709	134	16	(	(	PUNCT
iajs-2709	134	17	35	35	NUM
iajs-2709	134	18	)	)	PUNCT
iajs-2709	134	19	𝐿03	𝐿03	PROPN
iajs-2709	134	20	=	=	PUNCT
iajs-2709	134	21	∂3𝐿(𝜆	∂3𝐿(𝜆	PROPN
iajs-2709	134	22	,	,	PUNCT
iajs-2709	134	23	𝜗	𝜗	NOUN
iajs-2709	134	24	)	)	PUNCT
iajs-2709	134	25	∂𝜆3	∂𝜆3	PROPN
iajs-2709	134	26	=	=	SYM
iajs-2709	134	27	2𝑛	2𝑛	PROPN
iajs-2709	134	28	𝜆3	𝜆3	NOUN
iajs-2709	134	29	−	−	PROPN
iajs-2709	134	30	∑	∑	ADP
iajs-2709	134	31	  	  	SPACE
iajs-2709	134	32	𝑛	𝑛	PRON
iajs-2709	134	33	𝑖=1	𝑖=1	PROPN
iajs-2709	135	1	(	(	PUNCT
iajs-2709	135	2	𝑥𝑖	𝑥𝑖	NUM
iajs-2709	135	3	𝜗	𝜗	PROPN
iajs-2709	135	4	)	)	PUNCT
iajs-2709	135	5	𝜆	𝜆	X
iajs-2709	135	6	(	(	PUNCT
iajs-2709	135	7	ln	ln	NOUN
iajs-2709	135	8	(	(	PUNCT
iajs-2709	135	9	𝑥𝑖	𝑥𝑖	NUM
iajs-2709	135	10	𝜗	𝜗	PROPN
iajs-2709	135	11	)	)	PUNCT
iajs-2709	135	12	)	)	PUNCT
iajs-2709	136	1	3	3	NUM
iajs-2709	136	2	(	(	PUNCT
iajs-2709	136	3	36	36	NUM
iajs-2709	136	4	)	)	PUNCT
iajs-2709	136	5	𝐿21	𝐿21	PROPN
iajs-2709	136	6	=	=	SYM
iajs-2709	136	7	∂3𝐿(𝜆,𝜗	∂3𝐿(𝜆,𝜗	PROPN
iajs-2709	136	8	)	)	PUNCT
iajs-2709	136	9	∂𝜗2	∂𝜗2	PROPN
iajs-2709	136	10	∂𝜆	∂𝜆	PROPN
iajs-2709	137	1	=	=	PUNCT
iajs-2709	137	2	𝑛	𝑛	DET
iajs-2709	137	3	𝜗2	𝜗2	PROPN
iajs-2709	137	4	−	−	PROPN
iajs-2709	137	5	2𝜆+1	2𝜆+1	PROPN
iajs-2709	137	6	𝜗2	𝜗2	PROPN
iajs-2709	137	7	∑	∑	PUNCT
iajs-2709	137	8	 	 	SPACE
iajs-2709	137	9	𝑛	𝑛	PRON
iajs-2709	137	10	𝑖=1	𝑖=1	PROPN
iajs-2709	138	1	(	(	PUNCT
iajs-2709	138	2	𝑥𝑖	𝑥𝑖	NUM
iajs-2709	138	3	𝜗	𝜗	PROPN
iajs-2709	138	4	)	)	PUNCT
iajs-2709	139	1	𝜆	𝜆	ADV
iajs-2709	139	2	−	−	NOUN
iajs-2709	139	3	𝜆(𝜆+1	𝜆(𝜆+1	NUM
iajs-2709	139	4	)	)	PUNCT
iajs-2709	139	5	𝜗2	𝜗2	PROPN
iajs-2709	139	6	∑	∑	PUNCT
iajs-2709	139	7	 	 	SPACE
iajs-2709	139	8	𝑛	𝑛	PRON
iajs-2709	139	9	𝑖=1	𝑖=1	PROPN
iajs-2709	140	1	(	(	PUNCT
iajs-2709	140	2	𝑥𝑖	𝑥𝑖	NUM
iajs-2709	140	3	𝜗	𝜗	PROPN
iajs-2709	140	4	)	)	PUNCT
iajs-2709	140	5	𝜆	𝜆	PROPN
iajs-2709	140	6	ln	ln	ADJ
iajs-2709	140	7	(	(	PUNCT
iajs-2709	140	8	𝑥𝑖	𝑥𝑖	NUM
iajs-2709	140	9	𝜗	𝜗	PROPN
iajs-2709	140	10	)	)	PUNCT
iajs-2709	140	11	(	(	PUNCT
iajs-2709	140	12	37	37	NUM
iajs-2709	140	13	)	)	PUNCT
iajs-2709	141	1	p	p	NOUN
iajs-2709	141	2	=	=	PUNCT
iajs-2709	141	3	ln	ln	ADJ
iajs-2709	141	4	g	g	PROPN
iajs-2709	141	5	(	(	PUNCT
iajs-2709	141	6	λ	λ	PROPN
iajs-2709	141	7	,	,	PUNCT
iajs-2709	141	8	ϑ	ϑ	NOUN
iajs-2709	141	9	)	)	PUNCT
iajs-2709	141	10	=	=	SYM
iajs-2709	141	11	ln(γ	ln(γ	X
iajs-2709	141	12	)	)	PUNCT
iajs-2709	142	1	+	+	NUM
iajs-2709	142	2	ln(δ	ln(δ	X
iajs-2709	142	3	)	)	PUNCT
iajs-2709	142	4	–	–	PUNCT
iajs-2709	142	5	γ	γ	X
iajs-2709	142	6	ϑ	ϑ	X
iajs-2709	142	7	–	–	PUNCT
iajs-2709	142	8	δ	δ	X
iajs-2709	142	9	λ	λ	NOUN
iajs-2709	142	10	p	p	NOUN
iajs-2709	142	11	2	2	NUM
iajs-2709	142	12	=	=	SYM
iajs-2709	142	13	∂p	∂p	PROPN
iajs-2709	142	14	∂λ	∂λ	PROPN
iajs-2709	142	15	=	=	PUNCT
iajs-2709	142	16	−δ	−δ	NOUN
iajs-2709	142	17	(	(	PUNCT
iajs-2709	142	18	38	38	NUM
iajs-2709	142	19	)	)	PUNCT
iajs-2709	142	20	substituting	substituting	NOUN
iajs-2709	142	21	(	(	PUNCT
iajs-2709	142	22	8)	8)	NUM
iajs-2709	142	23	,	,	PUNCT
iajs-2709	142	24	(	(	PUNCT
iajs-2709	142	25	9	9	NUM
iajs-2709	142	26	)	)	PUNCT
iajs-2709	142	27	,	,	PUNCT
iajs-2709	142	28	(	(	PUNCT
iajs-2709	142	29	35	35	NUM
iajs-2709	142	30	)	)	PUNCT
iajs-2709	142	31	,	,	PUNCT
iajs-2709	142	32	(	(	PUNCT
iajs-2709	142	33	36	36	NUM
iajs-2709	142	34	)	)	PUNCT
iajs-2709	142	35	,	,	PUNCT
iajs-2709	142	36	(	(	PUNCT
iajs-2709	142	37	37	37	NUM
iajs-2709	142	38	)	)	PUNCT
iajs-2709	142	39	and	and	CCONJ
iajs-2709	142	40	(	(	PUNCT
iajs-2709	142	41	38	38	NUM
iajs-2709	142	42	)	)	PUNCT
iajs-2709	142	43	into	into	ADP
iajs-2709	142	44	(	(	PUNCT
iajs-2709	142	45	34	34	NUM
iajs-2709	142	46	)	)	PUNCT
iajs-2709	142	47	,	,	PUNCT
iajs-2709	142	48	gives	give	VERB
iajs-2709	142	49	us	we	PRON
iajs-2709	142	50	:	:	PUNCT
iajs-2709	142	51	e[𝜆	e[𝜆	NUM
iajs-2709	142	52	│	│	ADJ
iajs-2709	142	53	𝑋	𝑋	PROPN
iajs-2709	142	54	]	]	X
iajs-2709	142	55	≈	≈	PROPN
iajs-2709	142	56	λ̂	λ̂	X
iajs-2709	142	57	−	−	PROPN
iajs-2709	143	1	δσ22	δσ22	PROPN
iajs-2709	143	2	+	+	CCONJ
iajs-2709	143	3	1	1	NUM
iajs-2709	143	4	2	2	NUM
iajs-2709	143	5	[	[	X
iajs-2709	143	6	(	(	PUNCT
iajs-2709	143	7	l03σ22	l03σ22	PROPN
iajs-2709	143	8	2	2	NUM
iajs-2709	143	9	)	)	PUNCT
iajs-2709	143	10	+	+	CCONJ
iajs-2709	143	11	(	(	PUNCT
iajs-2709	143	12	l21σ11σ22	l21σ11σ22	PROPN
iajs-2709	143	13	)	)	PUNCT
iajs-2709	143	14	]	]	X
iajs-2709	143	15	(	(	PUNCT
iajs-2709	143	16	39	39	NUM
iajs-2709	143	17	)	)	PUNCT
iajs-2709	143	18	similarly	similarly	ADV
iajs-2709	143	19	,	,	PUNCT
iajs-2709	143	20	the	the	DET
iajs-2709	143	21	lindley	lindley	NOUN
iajs-2709	143	22	’s	’s	PART
iajs-2709	143	23	approximation	approximation	NOUN
iajs-2709	143	24	for	for	ADP
iajs-2709	143	25	e[𝜆2	e[𝜆2	NOUN
iajs-2709	143	26	│	│	ADJ
iajs-2709	143	27	𝑋	𝑋	NOUN
iajs-2709	143	28	]	]	PUNCT
iajs-2709	143	29	is	be	AUX
iajs-2709	143	30	given	give	VERB
iajs-2709	143	31	by	by	ADP
iajs-2709	143	32	:	:	PUNCT
iajs-2709	143	33	e[𝜆2	e[𝜆2	NOUN
iajs-2709	143	34	│	│	ADJ
iajs-2709	143	35	𝑋	𝑋	NOUN
iajs-2709	143	36	]	]	X
iajs-2709	144	1	≈	≈	PROPN
iajs-2709	144	2	λ̂2	λ̂2	PROPN
iajs-2709	145	1	+	+	CCONJ
iajs-2709	145	2	1	1	NUM
iajs-2709	145	3	2	2	NUM
iajs-2709	145	4	(	(	PUNCT
iajs-2709	145	5	w22σ22	w22σ22	NOUN
iajs-2709	145	6	)	)	PUNCT
iajs-2709	146	1	+	+	CCONJ
iajs-2709	146	2	p2w2σ22	p2w2σ22	PROPN
iajs-2709	146	3	+	+	CCONJ
iajs-2709	146	4	1	1	NUM
iajs-2709	146	5	2	2	NUM
iajs-2709	146	6	(	(	PUNCT
iajs-2709	146	7	l03w2σ22	l03w2σ22	PROPN
iajs-2709	146	8	2	2	NUM
iajs-2709	146	9	)	)	PUNCT
iajs-2709	146	10	+	+	CCONJ
iajs-2709	146	11	1	1	NUM
iajs-2709	146	12	2	2	NUM
iajs-2709	146	13	(	(	PUNCT
iajs-2709	146	14	l21w2σ11σ22	l21w2σ11σ22	PROPN
iajs-2709	146	15	)	)	PUNCT
iajs-2709	146	16	(	(	PUNCT
iajs-2709	146	17	40	40	NUM
iajs-2709	146	18	)	)	PUNCT
iajs-2709	146	19	assume	assume	VERB
iajs-2709	146	20	that	that	SCONJ
iajs-2709	146	21	,	,	PUNCT
iajs-2709	146	22	w	w	PROPN
iajs-2709	146	23	(	(	PUNCT
iajs-2709	146	24	λ	λ	PROPN
iajs-2709	146	25	,	,	PUNCT
iajs-2709	146	26	𝜗	𝜗	NOUN
iajs-2709	146	27	)	)	PUNCT
iajs-2709	146	28	=	=	SYM
iajs-2709	146	29	𝜆2	𝜆2	NOUN
iajs-2709	146	30	w2	w2	NOUN
iajs-2709	146	31	=	=	SYM
iajs-2709	146	32	∂w(λ,ϑ	∂w(λ,ϑ	PROPN
iajs-2709	146	33	)	)	PUNCT
iajs-2709	146	34	∂λ	∂λ	PROPN
iajs-2709	146	35	=	=	SYM
iajs-2709	146	36	2λ	2λ	PROPN
iajs-2709	146	37	(	(	PUNCT
iajs-2709	146	38	41	41	NUM
iajs-2709	146	39	)	)	PUNCT
iajs-2709	146	40	w22	w22	NOUN
iajs-2709	146	41	=	=	SYM
iajs-2709	146	42	∂2w(λ,ϑ	∂2w(λ,ϑ	PROPN
iajs-2709	146	43	)	)	PUNCT
iajs-2709	146	44	∂λ2	∂λ2	PROPN
iajs-2709	146	45	=	=	SYM
iajs-2709	146	46	2	2	NUM
iajs-2709	146	47	(	(	PUNCT
iajs-2709	146	48	42	42	NUM
iajs-2709	146	49	)	)	PUNCT
iajs-2709	146	50	substituting	substitute	VERB
iajs-2709	146	51	(	(	PUNCT
iajs-2709	146	52	8)	8)	NUM
iajs-2709	146	53	,	,	PUNCT
iajs-2709	146	54	(	(	PUNCT
iajs-2709	146	55	9	9	NUM
iajs-2709	146	56	)	)	PUNCT
iajs-2709	146	57	,	,	PUNCT
iajs-2709	146	58	(	(	PUNCT
iajs-2709	146	59	36	36	NUM
iajs-2709	146	60	)	)	PUNCT
iajs-2709	146	61	,	,	PUNCT
iajs-2709	146	62	(	(	PUNCT
iajs-2709	146	63	37	37	NUM
iajs-2709	146	64	)	)	PUNCT
iajs-2709	146	65	,	,	PUNCT
iajs-2709	146	66	(	(	PUNCT
iajs-2709	146	67	38	38	NUM
iajs-2709	146	68	)	)	PUNCT
iajs-2709	146	69	,	,	PUNCT
iajs-2709	146	70	(	(	PUNCT
iajs-2709	146	71	41	41	NUM
iajs-2709	146	72	)	)	PUNCT
iajs-2709	146	73	and	and	CCONJ
iajs-2709	146	74	(	(	PUNCT
iajs-2709	146	75	42	42	NUM
iajs-2709	146	76	)	)	PUNCT
iajs-2709	146	77	into	into	ADP
iajs-2709	146	78	(	(	PUNCT
iajs-2709	146	79	40	40	NUM
iajs-2709	146	80	)	)	PUNCT
iajs-2709	146	81	,	,	PUNCT
iajs-2709	146	82	yields	yield	NOUN
iajs-2709	146	83	:	:	PUNCT
iajs-2709	146	84	e[𝜆2	e[𝜆2	NOUN
iajs-2709	146	85	│	│	ADJ
iajs-2709	146	86	𝑋	𝑋	NOUN
iajs-2709	146	87	]	]	X
iajs-2709	147	1	≈	≈	PROPN
iajs-2709	147	2	λ̂2	λ̂2	PROPN
iajs-2709	148	1	+	+	CCONJ
iajs-2709	148	2	(	(	PUNCT
iajs-2709	148	3	1	1	NUM
iajs-2709	148	4	−	−	PROPN
iajs-2709	148	5	2δ	2δ	NUM
iajs-2709	148	6	�	�	PROPN
iajs-2709	148	7	̂	̂	NOUN
iajs-2709	148	8	�	�	NOUN
iajs-2709	148	9	)σ22	)σ22	PROPN
iajs-2709	148	10	+	+	CCONJ
iajs-2709	148	11	�	�	PROPN
iajs-2709	148	12	̂	̂	NOUN
iajs-2709	148	13	�	�	NOUN
iajs-2709	148	14	[(l03σ22	[(l03σ22	X
iajs-2709	148	15	2	2	NUM
iajs-2709	148	16	)	)	PUNCT
iajs-2709	148	17	+	+	CCONJ
iajs-2709	148	18	(	(	PUNCT
iajs-2709	148	19	l21σ11σ22	l21σ11σ22	PROPN
iajs-2709	148	20	)	)	PUNCT
iajs-2709	148	21	]	]	PUNCT
iajs-2709	149	1	(	(	PUNCT
iajs-2709	149	2	43	43	NUM
iajs-2709	149	3	)	)	PUNCT
iajs-2709	149	4	after	after	SCONJ
iajs-2709	149	5	substituting	substitute	VERB
iajs-2709	149	6	(	(	PUNCT
iajs-2709	149	7	39	39	NUM
iajs-2709	149	8	)	)	PUNCT
iajs-2709	149	9	and	and	CCONJ
iajs-2709	149	10	(	(	PUNCT
iajs-2709	149	11	43	43	NUM
iajs-2709	149	12	)	)	PUNCT
iajs-2709	149	13	into	into	ADP
iajs-2709	149	14	(	(	PUNCT
iajs-2709	149	15	2	2	X
iajs-2709	149	16	)	)	PUNCT
iajs-2709	149	17	give	give	VERB
iajs-2709	149	18	up	up	ADP
iajs-2709	149	19	,	,	PUNCT
iajs-2709	149	20	λ̂10	λ̂10	PROPN
iajs-2709	149	21	=	=	SYM
iajs-2709	149	22	(	(	PUNCT
iajs-2709	149	23	𝑎0λ̂+𝑎1λ̂2)+[𝑎1(1−2𝛿	𝑎0λ̂+𝑎1λ̂2)+[𝑎1(1−2𝛿	PROPN
iajs-2709	149	24	�	�	PROPN
iajs-2709	149	25	̂	̂	NOUN
iajs-2709	149	26	�	�	NOUN
iajs-2709	149	27	)−𝑎0𝛿]σ22	)−𝑎0𝛿]σ22	PROPN
iajs-2709	149	28	+	+	PROPN
iajs-2709	149	29	(	(	PUNCT
iajs-2709	149	30	𝑎0	𝑎0	PROPN
iajs-2709	149	31	2	2	NUM
iajs-2709	149	32	+	+	NOUN
iajs-2709	149	33	𝑎1	𝑎1	ADJ
iajs-2709	149	34	�	�	PROPN
iajs-2709	149	35	̂	̂	NOUN
iajs-2709	149	36	�	�	NOUN
iajs-2709	149	37	)[(l03σ22	)[(l03σ22	PUNCT
iajs-2709	149	38	2	2	NUM
iajs-2709	149	39	)	)	PUNCT
iajs-2709	150	1	+	+	ADJ
iajs-2709	150	2	(	(	PUNCT
iajs-2709	150	3	l21σ11σ22	l21σ11σ22	PROPN
iajs-2709	150	4	)	)	PUNCT
iajs-2709	150	5	]	]	PUNCT
iajs-2709	150	6	(	(	PUNCT
iajs-2709	150	7	a0+a1λ̂)−	a0+a1λ̂)−	X
iajs-2709	150	8	𝑎1δ	𝑎1δ	VERB
iajs-2709	150	9	σ22	σ22	PROPN
iajs-2709	150	10	+	+	CCONJ
iajs-2709	150	11	𝑎1	𝑎1	NOUN
iajs-2709	150	12	2	2	NUM
iajs-2709	150	13	[	[	X
iajs-2709	150	14	(	(	PUNCT
iajs-2709	150	15	l03σ22	l03σ22	PROPN
iajs-2709	150	16	2	2	NUM
iajs-2709	150	17	)	)	PUNCT
iajs-2709	150	18	+	+	PROPN
iajs-2709	150	19	(	(	PUNCT
iajs-2709	150	20	l21σ11σ22	l21σ11σ22	PROPN
iajs-2709	150	21	)	)	PUNCT
iajs-2709	150	22	]	]	PUNCT
iajs-2709	150	23	(	(	PUNCT
iajs-2709	150	24	44	44	NUM
iajs-2709	150	25	)	)	PUNCT
iajs-2709	150	26	now	now	ADV
iajs-2709	150	27	,	,	PUNCT
iajs-2709	150	28	another	another	DET
iajs-2709	150	29	estimator	estimator	NOUN
iajs-2709	150	30	under	under	ADP
iajs-2709	150	31	generalized	generalize	VERB
iajs-2709	150	32	weighted	weight	VERB
iajs-2709	150	33	loss	loss	NOUN
iajs-2709	150	34	function	function	NOUN
iajs-2709	150	35	will	will	AUX
iajs-2709	150	36	be	be	AUX
iajs-2709	150	37	derived	derive	VERB
iajs-2709	150	38	by	by	ADP
iajs-2709	150	39	letting	let	VERB
iajs-2709	150	40	,	,	PUNCT
iajs-2709	150	41	k=1	k=1	PROPN
iajs-2709	150	42	and	and	CCONJ
iajs-2709	150	43	𝜏	𝜏	X
iajs-2709	150	44	=	=	NOUN
iajs-2709	150	45	1	1	NUM
iajs-2709	150	46	,	,	PUNCT
iajs-2709	150	47	gives	give	VERB
iajs-2709	150	48	:	:	PUNCT
iajs-2709	150	49	ibn	ibn	PROPN
iajs-2709	150	50	al	al	PROPN
iajs-2709	150	51	-	-	PUNCT
iajs-2709	150	52	haitham	haitham	PROPN
iajs-2709	150	53	jour	jour	X
iajs-2709	150	54	.	.	PROPN
iajs-2709	151	1	for	for	ADP
iajs-2709	151	2	pure	pure	ADJ
iajs-2709	151	3	&	&	CCONJ
iajs-2709	151	4	appl	appl	PROPN
iajs-2709	151	5	.	.	PUNCT
iajs-2709	152	1	sci	sci	PROPN
iajs-2709	152	2	.	.	PROPN
iajs-2709	153	1	34(4)2021	34(4)2021	NUM
iajs-2709	153	2	123	123	NUM
iajs-2709	153	3	λ̂11	λ̂11	NOUN
iajs-2709	153	4	=	=	SYM
iajs-2709	153	5	a0+a1e(λ|x	a0+a1e(λ|x	NOUN
iajs-2709	153	6	)	)	PUNCT
iajs-2709	154	1	a0e	a0e	NOUN
iajs-2709	154	2	(	(	PUNCT
iajs-2709	154	3	1	1	NUM
iajs-2709	154	4	λ	λ	PROPN
iajs-2709	154	5	|x)+a1	|x)+a1	PUNCT
iajs-2709	154	6	similarly	similarly	ADV
iajs-2709	154	7	,	,	PUNCT
iajs-2709	154	8	the	the	DET
iajs-2709	154	9	lindley	lindley	NOUN
iajs-2709	154	10	’s	’s	PART
iajs-2709	154	11	approximation	approximation	NOUN
iajs-2709	154	12	for	for	ADP
iajs-2709	154	13	e	e	X
iajs-2709	154	14	[	[	PUNCT
iajs-2709	154	15	1	1	NUM
iajs-2709	154	16	𝜆	𝜆	DET
iajs-2709	154	17	│	│	ADJ
iajs-2709	154	18	𝑋	𝑋	NOUN
iajs-2709	154	19	]	]	PUNCT
iajs-2709	154	20	is	be	AUX
iajs-2709	154	21	given	give	VERB
iajs-2709	154	22	by	by	ADP
iajs-2709	154	23	:	:	PUNCT
iajs-2709	154	24	e	e	X
iajs-2709	154	25	[	[	PUNCT
iajs-2709	154	26	1	1	NUM
iajs-2709	154	27	𝜆	𝜆	PRON
iajs-2709	154	28	│	│	ADJ
iajs-2709	154	29	𝑋	𝑋	NOUN
iajs-2709	154	30	]	]	X
iajs-2709	154	31	≈	≈	PROPN
iajs-2709	154	32	1	1	NUM
iajs-2709	154	33	λ̂	λ̂	X
iajs-2709	154	34	+	+	CCONJ
iajs-2709	154	35	1	1	NUM
iajs-2709	154	36	2	2	NUM
iajs-2709	154	37	(	(	PUNCT
iajs-2709	154	38	w22σ22	w22σ22	NOUN
iajs-2709	154	39	)	)	PUNCT
iajs-2709	155	1	+	+	CCONJ
iajs-2709	155	2	p2w2σ22	p2w2σ22	PROPN
iajs-2709	155	3	+	+	CCONJ
iajs-2709	155	4	1	1	NUM
iajs-2709	155	5	2	2	NUM
iajs-2709	155	6	(	(	PUNCT
iajs-2709	155	7	l03w2σ22	l03w2σ22	PROPN
iajs-2709	155	8	2	2	NUM
iajs-2709	155	9	)	)	PUNCT
iajs-2709	155	10	+	+	CCONJ
iajs-2709	155	11	1	1	NUM
iajs-2709	155	12	2	2	NUM
iajs-2709	155	13	(	(	PUNCT
iajs-2709	155	14	l21w2σ11σ22	l21w2σ11σ22	PROPN
iajs-2709	155	15	)	)	PUNCT
iajs-2709	155	16	(	(	PUNCT
iajs-2709	155	17	45	45	NUM
iajs-2709	155	18	)	)	PUNCT
iajs-2709	155	19	assume	assume	VERB
iajs-2709	155	20	that	that	SCONJ
iajs-2709	155	21	,	,	PUNCT
iajs-2709	155	22	w	w	PROPN
iajs-2709	155	23	(	(	PUNCT
iajs-2709	155	24	λ	λ	PROPN
iajs-2709	155	25	,	,	PUNCT
iajs-2709	155	26	ϑ	ϑ	NOUN
iajs-2709	155	27	)	)	PUNCT
iajs-2709	155	28	=	=	SYM
iajs-2709	155	29	1	1	NUM
iajs-2709	155	30	λ	λ	NOUN
iajs-2709	155	31	w2	w2	NOUN
iajs-2709	155	32	=	=	SYM
iajs-2709	155	33	∂w(λ,ϑ	∂w(λ,ϑ	PROPN
iajs-2709	155	34	)	)	PUNCT
iajs-2709	155	35	∂λ	∂λ	PROPN
iajs-2709	155	36	=	=	SYM
iajs-2709	155	37	−1	−1	NOUN
iajs-2709	155	38	𝜆2	𝜆2	PROPN
iajs-2709	155	39	(	(	PUNCT
iajs-2709	155	40	46	46	NUM
iajs-2709	155	41	)	)	PUNCT
iajs-2709	155	42	w22	w22	NOUN
iajs-2709	155	43	=	=	SYM
iajs-2709	155	44	∂2w(λ,ϑ	∂2w(λ,ϑ	PROPN
iajs-2709	155	45	)	)	PUNCT
iajs-2709	155	46	∂λ2	∂λ2	PROPN
iajs-2709	155	47	=	=	SYM
iajs-2709	155	48	2	2	NUM
iajs-2709	155	49	𝜆3	𝜆3	NOUN
iajs-2709	155	50	(	(	PUNCT
iajs-2709	155	51	47	47	NUM
iajs-2709	155	52	)	)	PUNCT
iajs-2709	155	53	substituting	substitute	VERB
iajs-2709	155	54	(	(	PUNCT
iajs-2709	155	55	8)	8)	NUM
iajs-2709	155	56	,	,	PUNCT
iajs-2709	155	57	(	(	PUNCT
iajs-2709	155	58	9	9	NUM
iajs-2709	155	59	)	)	PUNCT
iajs-2709	155	60	,	,	PUNCT
iajs-2709	155	61	(	(	PUNCT
iajs-2709	155	62	36	36	NUM
iajs-2709	155	63	)	)	PUNCT
iajs-2709	155	64	,	,	PUNCT
iajs-2709	155	65	(	(	PUNCT
iajs-2709	155	66	37	37	NUM
iajs-2709	155	67	)	)	PUNCT
iajs-2709	155	68	,	,	PUNCT
iajs-2709	155	69	(	(	PUNCT
iajs-2709	155	70	38	38	NUM
iajs-2709	155	71	)	)	PUNCT
iajs-2709	155	72	,	,	PUNCT
iajs-2709	155	73	(	(	PUNCT
iajs-2709	155	74	46	46	NUM
iajs-2709	155	75	)	)	PUNCT
iajs-2709	155	76	and	and	CCONJ
iajs-2709	155	77	(	(	PUNCT
iajs-2709	155	78	47	47	NUM
iajs-2709	155	79	)	)	PUNCT
iajs-2709	155	80	into	into	ADP
iajs-2709	155	81	(	(	PUNCT
iajs-2709	155	82	45	45	NUM
iajs-2709	155	83	)	)	PUNCT
iajs-2709	155	84	,	,	PUNCT
iajs-2709	155	85	yields	yield	VERB
iajs-2709	155	86	:	:	PUNCT
iajs-2709	155	87	e	e	X
iajs-2709	155	88	[	[	PUNCT
iajs-2709	155	89	1	1	NUM
iajs-2709	155	90	𝜆	𝜆	PRON
iajs-2709	155	91	│	│	ADJ
iajs-2709	155	92	𝑋	𝑋	NOUN
iajs-2709	155	93	]	]	X
iajs-2709	155	94	≈	≈	PROPN
iajs-2709	155	95	1	1	NUM
iajs-2709	155	96	λ̂	λ̂	X
iajs-2709	155	97	+	+	CCONJ
iajs-2709	155	98	(	(	PUNCT
iajs-2709	155	99	1	1	NUM
iajs-2709	155	100	�	�	PROPN
iajs-2709	155	101	̂	̂	NOUN
iajs-2709	155	102	�	�	NOUN
iajs-2709	155	103	3	3	NUM
iajs-2709	155	104	+	+	CCONJ
iajs-2709	155	105	𝛿	𝛿	PRON
iajs-2709	155	106	�	�	PROPN
iajs-2709	155	107	̂	̂	NOUN
iajs-2709	155	108	�	�	NOUN
iajs-2709	155	109	2	2	NUM
iajs-2709	155	110	)	)	PUNCT
iajs-2709	155	111	σ22	σ22	NOUN
iajs-2709	155	112	−	−	PROPN
iajs-2709	155	113	1	1	NUM
iajs-2709	155	114	2	2	NUM
iajs-2709	155	115	�	�	PROPN
iajs-2709	155	116	̂	̂	NOUN
iajs-2709	155	117	�	�	NOUN
iajs-2709	155	118	2	2	NUM
iajs-2709	155	119	[	[	X
iajs-2709	155	120	(	(	PUNCT
iajs-2709	155	121	l03σ22	l03σ22	PROPN
iajs-2709	155	122	2	2	NUM
iajs-2709	155	123	)	)	PUNCT
iajs-2709	156	1	+	+	CCONJ
iajs-2709	156	2	(	(	PUNCT
iajs-2709	156	3	l21σ11σ22	l21σ11σ22	PROPN
iajs-2709	156	4	)	)	PUNCT
iajs-2709	156	5	]	]	X
iajs-2709	157	1	(	(	PUNCT
iajs-2709	157	2	48	48	NUM
iajs-2709	157	3	)	)	PUNCT
iajs-2709	157	4	after	after	SCONJ
iajs-2709	157	5	substituting	substitute	VERB
iajs-2709	157	6	(	(	PUNCT
iajs-2709	157	7	39	39	NUM
iajs-2709	157	8	)	)	PUNCT
iajs-2709	157	9	and	and	CCONJ
iajs-2709	157	10	(	(	PUNCT
iajs-2709	157	11	48	48	NUM
iajs-2709	157	12	)	)	PUNCT
iajs-2709	157	13	into	into	ADP
iajs-2709	157	14	(	(	PUNCT
iajs-2709	157	15	2	2	X
iajs-2709	157	16	)	)	PUNCT
iajs-2709	157	17	give	give	VERB
iajs-2709	157	18	up	up	ADP
iajs-2709	157	19	,	,	PUNCT
iajs-2709	157	20	λ̂11	λ̂11	NOUN
iajs-2709	158	1	=	=	X
iajs-2709	158	2	(	(	PUNCT
iajs-2709	158	3	a0+a1λ̂)−	a0+a1λ̂)−	X
iajs-2709	158	4	𝑎1δ	𝑎1δ	VERB
iajs-2709	158	5	σ22	σ22	PROPN
iajs-2709	158	6	+	+	CCONJ
iajs-2709	158	7	𝑎1	𝑎1	NOUN
iajs-2709	158	8	2	2	NUM
iajs-2709	158	9	[	[	X
iajs-2709	158	10	(	(	PUNCT
iajs-2709	158	11	l03σ22	l03σ22	PROPN
iajs-2709	158	12	2	2	NUM
iajs-2709	158	13	)	)	PUNCT
iajs-2709	158	14	+	+	PROPN
iajs-2709	158	15	(	(	PUNCT
iajs-2709	158	16	l21σ11σ22	l21σ11σ22	PROPN
iajs-2709	158	17	)	)	PUNCT
iajs-2709	158	18	]	]	PUNCT
iajs-2709	158	19	a1	a1	PROPN
iajs-2709	158	20	+	+	X
iajs-2709	158	21	𝑎0	𝑎0	PROPN
iajs-2709	158	22	λ̂	λ̂	X
iajs-2709	158	23	+	+	ADJ
iajs-2709	158	24	𝑎0	𝑎0	PROPN
iajs-2709	158	25	(	(	PUNCT
iajs-2709	158	26	1	1	NUM
iajs-2709	158	27	�	�	PROPN
iajs-2709	158	28	̂	̂	VERB
iajs-2709	158	29	�	�	NOUN
iajs-2709	158	30	3	3	NUM
iajs-2709	158	31	+	+	NUM
iajs-2709	158	32	𝛿	𝛿	PRON
iajs-2709	158	33	�	�	PROPN
iajs-2709	158	34	̂	̂	SYM
iajs-2709	158	35	�	�	PROPN
iajs-2709	158	36	2)𝜎22−	2)𝜎22−	NUM
iajs-2709	158	37	𝑎0	𝑎0	PROPN
iajs-2709	158	38	2	2	NUM
iajs-2709	158	39	�	�	PROPN
iajs-2709	158	40	̂	̂	NUM
iajs-2709	158	41	�	�	NOUN
iajs-2709	158	42	2[(l03𝜎22	2[(l03𝜎22	PROPN
iajs-2709	158	43	2	2	NUM
iajs-2709	158	44	)	)	PUNCT
iajs-2709	158	45	+	+	ADJ
iajs-2709	158	46	(	(	PUNCT
iajs-2709	158	47	l21𝜎11𝜎22	l21𝜎11𝜎22	PROPN
iajs-2709	158	48	)	)	PUNCT
iajs-2709	158	49	]	]	PUNCT
iajs-2709	159	1	(	(	PUNCT
iajs-2709	160	1	49	49	NUM
iajs-2709	160	2	)	)	PUNCT
iajs-2709	160	3	another	another	DET
iajs-2709	160	4	estimator	estimator	NOUN
iajs-2709	160	5	under	under	ADP
iajs-2709	160	6	generalized	generalize	VERB
iajs-2709	160	7	weighted	weight	VERB
iajs-2709	160	8	loss	loss	NOUN
iajs-2709	160	9	function	function	NOUN
iajs-2709	160	10	will	will	AUX
iajs-2709	160	11	be	be	AUX
iajs-2709	160	12	derived	derive	VERB
iajs-2709	160	13	,	,	PUNCT
iajs-2709	160	14	when	when	SCONJ
iajs-2709	160	15	letting	let	VERB
iajs-2709	160	16	k=1	k=1	PRON
iajs-2709	160	17	and	and	CCONJ
iajs-2709	160	18	𝜏	𝜏	X
iajs-2709	160	19	=	=	SYM
iajs-2709	160	20	2	2	NUM
iajs-2709	160	21	,	,	PUNCT
iajs-2709	160	22	gives	give	VERB
iajs-2709	160	23	:	:	PUNCT
iajs-2709	160	24	λ̂12	λ̂12	X
iajs-2709	161	1	=	=	SYM
iajs-2709	161	2	a0e	a0e	NOUN
iajs-2709	161	3	(	(	PUNCT
iajs-2709	161	4	1	1	NUM
iajs-2709	161	5	λ	λ	PROPN
iajs-2709	161	6	|x)+a1	|x)+a1	PUNCT
iajs-2709	162	1	a0e	a0e	X
iajs-2709	162	2	(	(	PUNCT
iajs-2709	162	3	1	1	NUM
iajs-2709	162	4	λ2|x)+a1e	λ2|x)+a1e	NOUN
iajs-2709	162	5	(	(	PUNCT
iajs-2709	162	6	1	1	NUM
iajs-2709	162	7	λ	λ	PROPN
iajs-2709	162	8	|x	|x	NOUN
iajs-2709	162	9	)	)	PUNCT
iajs-2709	162	10	similarly	similarly	ADV
iajs-2709	162	11	,	,	PUNCT
iajs-2709	162	12	the	the	DET
iajs-2709	162	13	lindley	lindley	NOUN
iajs-2709	162	14	’s	’s	PART
iajs-2709	162	15	approximation	approximation	NOUN
iajs-2709	162	16	for	for	ADP
iajs-2709	162	17	e	e	X
iajs-2709	162	18	[	[	PUNCT
iajs-2709	162	19	1	1	NUM
iajs-2709	162	20	𝜆	𝜆	DET
iajs-2709	162	21	2	2	NUM
iajs-2709	162	22	│	│	ADJ
iajs-2709	162	23	𝑋	𝑋	NOUN
iajs-2709	162	24	]	]	PUNCT
iajs-2709	162	25	is	be	AUX
iajs-2709	162	26	given	give	VERB
iajs-2709	162	27	by	by	ADP
iajs-2709	162	28	:	:	PUNCT
iajs-2709	162	29	e	e	X
iajs-2709	162	30	[	[	PUNCT
iajs-2709	162	31	1	1	NUM
iajs-2709	162	32	𝜆2	𝜆2	NOUN
iajs-2709	162	33	│	│	NOUN
iajs-2709	162	34	𝑋	𝑋	NOUN
iajs-2709	162	35	]	]	X
iajs-2709	162	36	≈	≈	PROPN
iajs-2709	162	37	1	1	NUM
iajs-2709	162	38	𝜆2̂	𝜆2̂	PRON
iajs-2709	163	1	+	+	CCONJ
iajs-2709	163	2	1	1	NUM
iajs-2709	163	3	2	2	NUM
iajs-2709	163	4	(	(	PUNCT
iajs-2709	163	5	w22σ22	w22σ22	NOUN
iajs-2709	163	6	)	)	PUNCT
iajs-2709	164	1	+	+	CCONJ
iajs-2709	164	2	p2w2σ22	p2w2σ22	PROPN
iajs-2709	164	3	+	+	CCONJ
iajs-2709	164	4	1	1	NUM
iajs-2709	164	5	2	2	NUM
iajs-2709	164	6	(	(	PUNCT
iajs-2709	164	7	l03w2σ22	l03w2σ22	PROPN
iajs-2709	164	8	2	2	NUM
iajs-2709	164	9	)	)	PUNCT
iajs-2709	164	10	+	+	CCONJ
iajs-2709	164	11	1	1	NUM
iajs-2709	164	12	2	2	NUM
iajs-2709	164	13	(	(	PUNCT
iajs-2709	164	14	l21w2σ11σ22	l21w2σ11σ22	PROPN
iajs-2709	164	15	)	)	PUNCT
iajs-2709	164	16	(	(	PUNCT
iajs-2709	164	17	50	50	NUM
iajs-2709	164	18	)	)	PUNCT
iajs-2709	164	19	assume	assume	VERB
iajs-2709	164	20	that	that	SCONJ
iajs-2709	164	21	,	,	PUNCT
iajs-2709	164	22	w	w	PROPN
iajs-2709	164	23	(	(	PUNCT
iajs-2709	164	24	λ	λ	PROPN
iajs-2709	164	25	,	,	PUNCT
iajs-2709	164	26	ϑ	ϑ	NOUN
iajs-2709	164	27	)	)	PUNCT
iajs-2709	164	28	=	=	SYM
iajs-2709	164	29	1	1	NUM
iajs-2709	164	30	𝜆2	𝜆2	NOUN
iajs-2709	164	31	w2	w2	NOUN
iajs-2709	164	32	=	=	SYM
iajs-2709	164	33	∂w(λ,ϑ	∂w(λ,ϑ	PROPN
iajs-2709	164	34	)	)	PUNCT
iajs-2709	164	35	∂λ	∂λ	PROPN
iajs-2709	164	36	=	=	PUNCT
iajs-2709	164	37	−2	−2	NOUN
iajs-2709	164	38	𝜆3	𝜆3	NOUN
iajs-2709	164	39	(	(	PUNCT
iajs-2709	164	40	51	51	NUM
iajs-2709	164	41	)	)	PUNCT
iajs-2709	164	42	w22	w22	NOUN
iajs-2709	164	43	=	=	SYM
iajs-2709	164	44	∂2w(λ,ϑ	∂2w(λ,ϑ	PROPN
iajs-2709	164	45	)	)	PUNCT
iajs-2709	165	1	∂λ2	∂λ2	PROPN
iajs-2709	165	2	=	=	SYM
iajs-2709	165	3	6	6	NUM
iajs-2709	165	4	𝜆4	𝜆4	NOUN
iajs-2709	165	5	(	(	PUNCT
iajs-2709	165	6	52	52	NUM
iajs-2709	165	7	)	)	PUNCT
iajs-2709	165	8	substituting	substituting	NOUN
iajs-2709	165	9	(	(	PUNCT
iajs-2709	165	10	8)	8)	NUM
iajs-2709	165	11	,	,	PUNCT
iajs-2709	165	12	(	(	PUNCT
iajs-2709	165	13	9	9	NUM
iajs-2709	165	14	)	)	PUNCT
iajs-2709	165	15	,	,	PUNCT
iajs-2709	165	16	(	(	PUNCT
iajs-2709	165	17	36	36	NUM
iajs-2709	165	18	)	)	PUNCT
iajs-2709	165	19	,	,	PUNCT
iajs-2709	165	20	(	(	PUNCT
iajs-2709	165	21	37	37	NUM
iajs-2709	165	22	)	)	PUNCT
iajs-2709	165	23	,	,	PUNCT
iajs-2709	165	24	(	(	PUNCT
iajs-2709	165	25	38	38	NUM
iajs-2709	165	26	)	)	PUNCT
iajs-2709	165	27	,	,	PUNCT
iajs-2709	165	28	(	(	PUNCT
iajs-2709	165	29	51	51	NUM
iajs-2709	165	30	)	)	PUNCT
iajs-2709	165	31	and	and	CCONJ
iajs-2709	165	32	(	(	PUNCT
iajs-2709	165	33	52	52	NUM
iajs-2709	165	34	)	)	PUNCT
iajs-2709	165	35	into	into	ADP
iajs-2709	165	36	(	(	PUNCT
iajs-2709	165	37	50	50	NUM
iajs-2709	165	38	)	)	PUNCT
iajs-2709	165	39	,	,	PUNCT
iajs-2709	165	40	yields	yield	VERB
iajs-2709	165	41	:	:	PUNCT
iajs-2709	165	42	e	e	X
iajs-2709	165	43	[	[	PUNCT
iajs-2709	165	44	1	1	NUM
iajs-2709	165	45	𝜆2	𝜆2	NOUN
iajs-2709	165	46	│	│	NOUN
iajs-2709	165	47	𝑋	𝑋	NOUN
iajs-2709	165	48	]	]	X
iajs-2709	166	1	≈	≈	PROPN
iajs-2709	166	2	1	1	NUM
iajs-2709	166	3	𝜆2̂	𝜆2̂	PRON
iajs-2709	166	4	+	+	CCONJ
iajs-2709	166	5	(	(	PUNCT
iajs-2709	166	6	3	3	NUM
iajs-2709	166	7	�	�	PROPN
iajs-2709	166	8	̂	̂	NOUN
iajs-2709	166	9	�	�	NOUN
iajs-2709	166	10	4	4	NUM
iajs-2709	166	11	+	+	NUM
iajs-2709	166	12	2𝛿	2𝛿	PROPN
iajs-2709	166	13	�	�	PROPN
iajs-2709	166	14	̂	̂	NOUN
iajs-2709	166	15	�	�	NOUN
iajs-2709	166	16	3	3	NUM
iajs-2709	166	17	)	)	PUNCT
iajs-2709	166	18	σ22	σ22	NOUN
iajs-2709	166	19	−	−	PROPN
iajs-2709	166	20	1	1	NUM
iajs-2709	166	21	�	�	PROPN
iajs-2709	166	22	̂	̂	NOUN
iajs-2709	166	23	�	�	NOUN
iajs-2709	166	24	3	3	NUM
iajs-2709	166	25	[	[	X
iajs-2709	166	26	(	(	PUNCT
iajs-2709	166	27	l03σ22	l03σ22	PROPN
iajs-2709	166	28	2	2	NUM
iajs-2709	166	29	)	)	PUNCT
iajs-2709	166	30	+	+	CCONJ
iajs-2709	166	31	(	(	PUNCT
iajs-2709	166	32	l21σ11σ22	l21σ11σ22	PROPN
iajs-2709	166	33	)	)	PUNCT
iajs-2709	166	34	]	]	X
iajs-2709	166	35	(	(	PUNCT
iajs-2709	166	36	53	53	NUM
iajs-2709	166	37	)	)	PUNCT
iajs-2709	166	38	after	after	ADP
iajs-2709	166	39	substituting	substitute	VERB
iajs-2709	166	40	(	(	PUNCT
iajs-2709	166	41	48	48	NUM
iajs-2709	166	42	)	)	PUNCT
iajs-2709	166	43	and	and	CCONJ
iajs-2709	166	44	(	(	PUNCT
iajs-2709	166	45	53	53	NUM
iajs-2709	166	46	)	)	PUNCT
iajs-2709	166	47	into	into	ADP
iajs-2709	166	48	(	(	PUNCT
iajs-2709	166	49	2	2	X
iajs-2709	166	50	)	)	PUNCT
iajs-2709	166	51	give	give	VERB
iajs-2709	166	52	up	up	ADP
iajs-2709	166	53	,	,	PUNCT
iajs-2709	166	54	λ̂12	λ̂12	X
iajs-2709	166	55	=	=	SYM
iajs-2709	166	56	a1	a1	PROPN
iajs-2709	166	57	+	+	X
iajs-2709	166	58	𝑎0	𝑎0	PROPN
iajs-2709	166	59	λ̂	λ̂	X
iajs-2709	167	1	+	+	ADJ
iajs-2709	167	2	𝑎0	𝑎0	PROPN
iajs-2709	167	3	(	(	PUNCT
iajs-2709	167	4	1	1	NUM
iajs-2709	167	5	�	�	PROPN
iajs-2709	167	6	̂	̂	VERB
iajs-2709	167	7	�	�	NOUN
iajs-2709	167	8	3	3	NUM
iajs-2709	167	9	+	+	NUM
iajs-2709	167	10	𝛿	𝛿	PRON
iajs-2709	167	11	�	�	PROPN
iajs-2709	167	12	̂	̂	NOUN
iajs-2709	167	13	�	�	NOUN
iajs-2709	167	14	2)𝜎22	2)𝜎22	NUM
iajs-2709	167	15	+	+	NOUN
iajs-2709	167	16	𝑎0	𝑎0	PROPN
iajs-2709	167	17	2	2	NUM
iajs-2709	167	18	�	�	PROPN
iajs-2709	167	19	̂	̂	NUM
iajs-2709	167	20	�	�	NOUN
iajs-2709	167	21	2[(l03𝜎22	2[(l03𝜎22	PROPN
iajs-2709	167	22	2	2	NUM
iajs-2709	167	23	)	)	PUNCT
iajs-2709	167	24	+	+	ADJ
iajs-2709	167	25	(	(	PUNCT
iajs-2709	167	26	l21𝜎11𝜎22	l21𝜎11𝜎22	PROPN
iajs-2709	167	27	)	)	PUNCT
iajs-2709	167	28	]	]	PUNCT
iajs-2709	167	29	(	(	PUNCT
iajs-2709	167	30	𝑎0	𝑎0	ADV
iajs-2709	167	31	λ̂2	λ̂2	X
iajs-2709	167	32	+	+	CCONJ
iajs-2709	167	33	𝑎1	𝑎1	NOUN
iajs-2709	167	34	λ̂	λ̂	X
iajs-2709	167	35	)	)	PUNCT
iajs-2709	168	1	+	+	X
iajs-2709	168	2	𝑦2σ22−	𝑦2σ22−	PROPN
iajs-2709	168	3	(	(	PUNCT
iajs-2709	168	4	𝑎0	𝑎0	PROPN
iajs-2709	168	5	�	�	PROPN
iajs-2709	168	6	̂	̂	VERB
iajs-2709	168	7	�	�	NOUN
iajs-2709	168	8	3	3	NUM
iajs-2709	168	9	+	+	NOUN
iajs-2709	168	10	𝑎1	𝑎1	PROPN
iajs-2709	168	11	2	2	NUM
iajs-2709	168	12	�	�	PROPN
iajs-2709	168	13	̂	̂	NOUN
iajs-2709	168	14	�	�	NOUN
iajs-2709	168	15	2)[(l03σ22	2)[(l03σ22	NUM
iajs-2709	168	16	2	2	NUM
iajs-2709	168	17	)	)	PUNCT
iajs-2709	168	18	+	+	PROPN
iajs-2709	168	19	(	(	PUNCT
iajs-2709	168	20	l21σ11σ22	l21σ11σ22	PROPN
iajs-2709	168	21	)	)	PUNCT
iajs-2709	168	22	]	]	X
iajs-2709	168	23	(	(	PUNCT
iajs-2709	168	24	54	54	NUM
iajs-2709	168	25	)	)	PUNCT
iajs-2709	168	26	ibn	ibn	PROPN
iajs-2709	168	27	al	al	PROPN
iajs-2709	168	28	-	-	PUNCT
iajs-2709	168	29	haitham	haitham	PROPN
iajs-2709	168	30	jour	jour	X
iajs-2709	168	31	.	.	PROPN
iajs-2709	169	1	for	for	ADP
iajs-2709	169	2	pure	pure	ADJ
iajs-2709	169	3	&	&	CCONJ
iajs-2709	169	4	appl	appl	PROPN
iajs-2709	169	5	.	.	PUNCT
iajs-2709	170	1	sci	sci	PROPN
iajs-2709	170	2	.	.	PROPN
iajs-2709	171	1	34(4)2021	34(4)2021	NUM
iajs-2709	171	2	124	124	NUM
iajs-2709	171	3	where	where	SCONJ
iajs-2709	171	4	,	,	PUNCT
iajs-2709	171	5	𝑦2	𝑦2	PROPN
iajs-2709	171	6	=	=	SYM
iajs-2709	171	7	𝑎0	𝑎0	PROPN
iajs-2709	171	8	(	(	PUNCT
iajs-2709	171	9	3	3	NUM
iajs-2709	171	10	�	�	PROPN
iajs-2709	171	11	̂	̂	NOUN
iajs-2709	171	12	�	�	NOUN
iajs-2709	171	13	4	4	NUM
iajs-2709	171	14	+	+	NUM
iajs-2709	171	15	2𝛿	2𝛿	PROPN
iajs-2709	171	16	�	�	PROPN
iajs-2709	171	17	̂	̂	NOUN
iajs-2709	171	18	�	�	NOUN
iajs-2709	171	19	3	3	NUM
iajs-2709	171	20	)	)	PUNCT
iajs-2709	172	1	+	+	CCONJ
iajs-2709	173	1	𝑎1	𝑎1	ADJ
iajs-2709	173	2	(	(	PUNCT
iajs-2709	173	3	1	1	NUM
iajs-2709	173	4	�	�	PROPN
iajs-2709	173	5	̂	̂	NOUN
iajs-2709	173	6	�	�	NOUN
iajs-2709	173	7	3	3	NUM
iajs-2709	173	8	+	+	CCONJ
iajs-2709	173	9	𝛿	𝛿	PRON
iajs-2709	173	10	�	�	PROPN
iajs-2709	173	11	̂	̂	NOUN
iajs-2709	173	12	�	�	NOUN
iajs-2709	173	13	2	2	NUM
iajs-2709	173	14	)	)	PUNCT
iajs-2709	173	15	.	.	PUNCT
iajs-2709	174	1	now	now	ADV
iajs-2709	174	2	,	,	PUNCT
iajs-2709	174	3	when	when	SCONJ
iajs-2709	174	4	k=1	k=1	PROPN
iajs-2709	174	5	and	and	CCONJ
iajs-2709	174	6	𝜏	𝜏	PRON
iajs-2709	174	7	=	=	NOUN
iajs-2709	174	8	0	0	NUM
iajs-2709	174	9	,	,	PUNCT
iajs-2709	174	10	gives	give	VERB
iajs-2709	174	11	:	:	PUNCT
iajs-2709	174	12	λ̂20	λ̂20	PROPN
iajs-2709	174	13	=	=	PUNCT
iajs-2709	174	14	a0e(λ|x)+a1e(λ2|x)+a2e(λ3|x	a0e(λ|x)+a1e(λ2|x)+a2e(λ3|x	NOUN
iajs-2709	174	15	)	)	PUNCT
iajs-2709	174	16	a0+a1e(λ|x)+a2e(λ2|x	a0+a1e(λ|x)+a2e(λ2|x	NOUN
iajs-2709	174	17	)	)	PUNCT
iajs-2709	174	18	similarly	similarly	ADV
iajs-2709	174	19	,	,	PUNCT
iajs-2709	174	20	the	the	DET
iajs-2709	174	21	lindley	lindley	NOUN
iajs-2709	174	22	’s	’s	PART
iajs-2709	174	23	approximation	approximation	NOUN
iajs-2709	174	24	for	for	ADP
iajs-2709	174	25	e[𝜆3	e[𝜆3	NOUN
iajs-2709	174	26	│	│	ADJ
iajs-2709	174	27	𝑋	𝑋	NOUN
iajs-2709	174	28	]	]	PUNCT
iajs-2709	174	29	is	be	AUX
iajs-2709	174	30	given	give	VERB
iajs-2709	174	31	by	by	ADP
iajs-2709	174	32	:	:	PUNCT
iajs-2709	174	33	e[𝜆3	e[𝜆3	NOUN
iajs-2709	174	34	│	│	ADJ
iajs-2709	174	35	𝑋	𝑋	NOUN
iajs-2709	174	36	]	]	X
iajs-2709	174	37	≈	≈	PROPN
iajs-2709	174	38	λ̂	λ̂	NUM
iajs-2709	174	39	3	3	NUM
iajs-2709	174	40	+	+	CCONJ
iajs-2709	174	41	1	1	NUM
iajs-2709	174	42	2	2	NUM
iajs-2709	174	43	(	(	PUNCT
iajs-2709	174	44	w22σ22	w22σ22	NOUN
iajs-2709	174	45	)	)	PUNCT
iajs-2709	175	1	+	+	CCONJ
iajs-2709	176	1	p	p	X
iajs-2709	176	2	2	2	NUM
iajs-2709	176	3	w2σ22	w2σ22	NOUN
iajs-2709	176	4	+	+	CCONJ
iajs-2709	176	5	1	1	NUM
iajs-2709	176	6	2	2	NUM
iajs-2709	176	7	(	(	PUNCT
iajs-2709	176	8	l03w2σ22	l03w2σ22	PROPN
iajs-2709	176	9	2	2	NUM
iajs-2709	176	10	)	)	PUNCT
iajs-2709	176	11	+	+	CCONJ
iajs-2709	176	12	1	1	NUM
iajs-2709	176	13	2	2	NUM
iajs-2709	176	14	(	(	PUNCT
iajs-2709	176	15	l21w2σ11σ22	l21w2σ11σ22	PROPN
iajs-2709	176	16	)	)	PUNCT
iajs-2709	176	17	(	(	PUNCT
iajs-2709	176	18	55	55	NUM
iajs-2709	176	19	)	)	PUNCT
iajs-2709	176	20	assume	assume	VERB
iajs-2709	176	21	that	that	SCONJ
iajs-2709	176	22	,	,	PUNCT
iajs-2709	176	23	w	w	PROPN
iajs-2709	176	24	(	(	PUNCT
iajs-2709	176	25	λ	λ	PROPN
iajs-2709	176	26	,	,	PUNCT
iajs-2709	176	27	ϑ	ϑ	NOUN
iajs-2709	176	28	)	)	PUNCT
iajs-2709	176	29	=	=	SYM
iajs-2709	176	30	λ3	λ3	PROPN
iajs-2709	176	31	w2	w2	NOUN
iajs-2709	176	32	=	=	SYM
iajs-2709	176	33	∂w(λ,ϑ	∂w(λ,ϑ	PROPN
iajs-2709	176	34	)	)	PUNCT
iajs-2709	176	35	∂λ	∂λ	PROPN
iajs-2709	176	36	=	=	SYM
iajs-2709	176	37	3𝜆2	3𝜆2	PROPN
iajs-2709	176	38	(	(	PUNCT
iajs-2709	176	39	56	56	NUM
iajs-2709	176	40	)	)	PUNCT
iajs-2709	176	41	w22	w22	NOUN
iajs-2709	176	42	=	=	SYM
iajs-2709	176	43	∂2w(λ,ϑ	∂2w(λ,ϑ	PROPN
iajs-2709	176	44	)	)	PUNCT
iajs-2709	176	45	∂λ2	∂λ2	PROPN
iajs-2709	176	46	=	=	SYM
iajs-2709	176	47	6λ	6λ	PROPN
iajs-2709	176	48	(	(	PUNCT
iajs-2709	176	49	57	57	NUM
iajs-2709	176	50	)	)	PUNCT
iajs-2709	176	51	substituting	substituting	NOUN
iajs-2709	176	52	(	(	PUNCT
iajs-2709	176	53	8)	8)	NUM
iajs-2709	176	54	,	,	PUNCT
iajs-2709	176	55	(	(	PUNCT
iajs-2709	176	56	9	9	NUM
iajs-2709	176	57	)	)	PUNCT
iajs-2709	176	58	,	,	PUNCT
iajs-2709	176	59	(	(	PUNCT
iajs-2709	176	60	36	36	NUM
iajs-2709	176	61	)	)	PUNCT
iajs-2709	176	62	,	,	PUNCT
iajs-2709	176	63	(	(	PUNCT
iajs-2709	176	64	37	37	NUM
iajs-2709	176	65	)	)	PUNCT
iajs-2709	176	66	,	,	PUNCT
iajs-2709	176	67	(	(	PUNCT
iajs-2709	176	68	38	38	NUM
iajs-2709	176	69	)	)	PUNCT
iajs-2709	176	70	,	,	PUNCT
iajs-2709	176	71	(	(	PUNCT
iajs-2709	176	72	56	56	NUM
iajs-2709	176	73	)	)	PUNCT
iajs-2709	176	74	and	and	CCONJ
iajs-2709	176	75	(	(	PUNCT
iajs-2709	176	76	57	57	NUM
iajs-2709	176	77	)	)	PUNCT
iajs-2709	176	78	into	into	ADP
iajs-2709	176	79	(	(	PUNCT
iajs-2709	176	80	55	55	NUM
iajs-2709	176	81	)	)	PUNCT
iajs-2709	176	82	,	,	PUNCT
iajs-2709	176	83	gives	give	VERB
iajs-2709	176	84	us	we	PRON
iajs-2709	176	85	:	:	PUNCT
iajs-2709	176	86	e[𝜆3	e[𝜆3	NOUN
iajs-2709	176	87	│	│	ADJ
iajs-2709	176	88	𝑋	𝑋	NOUN
iajs-2709	176	89	]	]	X
iajs-2709	176	90	≈	≈	PROPN
iajs-2709	176	91	λ̂3	λ̂3	PROPN
iajs-2709	177	1	+	+	CCONJ
iajs-2709	177	2	(	(	PUNCT
iajs-2709	177	3	3	3	NUM
iajs-2709	177	4	�	�	NOUN
iajs-2709	177	5	̂	̂	SYM
iajs-2709	177	6	�	�	NOUN
iajs-2709	177	7	−	−	PROPN
iajs-2709	177	8	3δ	3δ	PROPN
iajs-2709	177	9	�	�	PROPN
iajs-2709	177	10	̂	̂	NOUN
iajs-2709	177	11	�	�	NOUN
iajs-2709	177	12	2)σ22	2)σ22	NUM
iajs-2709	177	13	+	+	CCONJ
iajs-2709	177	14	3	3	NUM
iajs-2709	177	15	�	�	PROPN
iajs-2709	177	16	̂	̂	VERB
iajs-2709	177	17	�	�	NOUN
iajs-2709	177	18	2	2	NUM
iajs-2709	177	19	2	2	NUM
iajs-2709	177	20	[	[	X
iajs-2709	177	21	(	(	PUNCT
iajs-2709	177	22	l03σ22	l03σ22	PROPN
iajs-2709	177	23	2	2	NUM
iajs-2709	177	24	)	)	PUNCT
iajs-2709	177	25	+	+	CCONJ
iajs-2709	177	26	(	(	PUNCT
iajs-2709	177	27	l21σ11σ22	l21σ11σ22	PROPN
iajs-2709	177	28	)	)	PUNCT
iajs-2709	177	29	]	]	PUNCT
iajs-2709	177	30	(	(	PUNCT
iajs-2709	177	31	58	58	NUM
iajs-2709	177	32	)	)	PUNCT
iajs-2709	177	33	after	after	ADP
iajs-2709	177	34	substituting	substitute	VERB
iajs-2709	177	35	(	(	PUNCT
iajs-2709	177	36	39	39	NUM
iajs-2709	177	37	)	)	PUNCT
iajs-2709	177	38	,	,	PUNCT
iajs-2709	177	39	(	(	PUNCT
iajs-2709	177	40	43	43	NUM
iajs-2709	177	41	)	)	PUNCT
iajs-2709	177	42	and	and	CCONJ
iajs-2709	177	43	(	(	PUNCT
iajs-2709	177	44	58	58	NUM
iajs-2709	177	45	)	)	PUNCT
iajs-2709	177	46	into	into	ADP
iajs-2709	177	47	(	(	PUNCT
iajs-2709	177	48	2	2	X
iajs-2709	177	49	)	)	PUNCT
iajs-2709	177	50	give	give	VERB
iajs-2709	177	51	up	up	ADP
iajs-2709	177	52	,	,	PUNCT
iajs-2709	177	53	λ̂20	λ̂20	PROPN
iajs-2709	177	54	=	=	SYM
iajs-2709	177	55	𝑦3+𝑦4σ22	𝑦3+𝑦4σ22	PROPN
iajs-2709	177	56	+	+	PROPN
iajs-2709	177	57	(	(	PUNCT
iajs-2709	177	58	𝑎0	𝑎0	PROPN
iajs-2709	177	59	2	2	NUM
iajs-2709	177	60	+	+	NOUN
iajs-2709	177	61	𝑎1	𝑎1	ADJ
iajs-2709	177	62	�	�	PROPN
iajs-2709	177	63	̂	̂	NOUN
iajs-2709	177	64	�	�	NOUN
iajs-2709	177	65	+	+	CCONJ
iajs-2709	177	66	3𝑎2	3𝑎2	NUM
iajs-2709	177	67	2	2	NUM
iajs-2709	177	68	�	�	PROPN
iajs-2709	177	69	̂	̂	NOUN
iajs-2709	177	70	�	�	NOUN
iajs-2709	177	71	2)[(l03σ22	2)[(l03σ22	NUM
iajs-2709	177	72	2	2	NUM
iajs-2709	177	73	)	)	PUNCT
iajs-2709	177	74	+	+	PROPN
iajs-2709	177	75	(	(	PUNCT
iajs-2709	177	76	l21σ11σ22	l21σ11σ22	PROPN
iajs-2709	177	77	)	)	PUNCT
iajs-2709	177	78	]	]	PUNCT
iajs-2709	177	79	𝑦5+[−𝑎1𝛿+𝑎2(1−2𝛿	𝑦5+[−𝑎1𝛿+𝑎2(1−2𝛿	PROPN
iajs-2709	177	80	�	�	PROPN
iajs-2709	177	81	̂	̂	NOUN
iajs-2709	177	82	�	�	NOUN
iajs-2709	177	83	)]σ22	)]σ22	PROPN
iajs-2709	177	84	+	+	PROPN
iajs-2709	177	85	(	(	PUNCT
iajs-2709	177	86	𝑎1	𝑎1	ADP
iajs-2709	177	87	2	2	NUM
iajs-2709	177	88	+	+	ADJ
iajs-2709	177	89	𝑎2	𝑎2	PROPN
iajs-2709	177	90	�	�	PROPN
iajs-2709	177	91	̂	̂	NOUN
iajs-2709	177	92	�	�	NOUN
iajs-2709	177	93	)[(l03σ22	)[(l03σ22	PUNCT
iajs-2709	177	94	2	2	NUM
iajs-2709	177	95	)	)	PUNCT
iajs-2709	177	96	+	+	ADJ
iajs-2709	177	97	(	(	PUNCT
iajs-2709	177	98	l21σ11σ22	l21σ11σ22	PROPN
iajs-2709	177	99	)	)	PUNCT
iajs-2709	177	100	]	]	PUNCT
iajs-2709	177	101	(	(	PUNCT
iajs-2709	177	102	59	59	NUM
iajs-2709	177	103	)	)	PUNCT
iajs-2709	177	104	where	where	SCONJ
iajs-2709	177	105	,	,	PUNCT
iajs-2709	177	106	𝑦3	𝑦3	PROPN
iajs-2709	177	107	=	=	SYM
iajs-2709	177	108	(	(	PUNCT
iajs-2709	177	109	𝑎0	𝑎0	PROPN
iajs-2709	177	110	�	�	PROPN
iajs-2709	177	111	̂	̂	NUM
iajs-2709	177	112	�	�	NOUN
iajs-2709	177	113	+	+	CCONJ
iajs-2709	177	114	𝑎1λ̂2	𝑎1λ̂2	PROPN
iajs-2709	177	115	+	+	CCONJ
iajs-2709	177	116	𝑎2λ̂3	𝑎2λ̂3	X
iajs-2709	177	117	)	)	PUNCT
iajs-2709	177	118	,	,	PUNCT
iajs-2709	177	119	𝑦5	𝑦5	NOUN
iajs-2709	177	120	=	=	SYM
iajs-2709	177	121	(	(	PUNCT
iajs-2709	177	122	𝑎0	𝑎0	PROPN
iajs-2709	177	123	+	+	CCONJ
iajs-2709	177	124	𝑎1	𝑎1	PROPN
iajs-2709	177	125	�	�	PROPN
iajs-2709	177	126	̂	̂	NUM
iajs-2709	177	127	�	�	PROPN
iajs-2709	177	128	+	+	CCONJ
iajs-2709	177	129	𝑎2λ̂2	𝑎2λ̂2	PROPN
iajs-2709	177	130	)	)	PUNCT
iajs-2709	177	131	,	,	PUNCT
iajs-2709	177	132	𝑦4	𝑦4	PROPN
iajs-2709	177	133	=	=	SYM
iajs-2709	177	134	−𝑎0𝛿	−𝑎0𝛿	X
iajs-2709	177	135	+	+	CCONJ
iajs-2709	177	136	𝑎1(1	𝑎1(1	ADJ
iajs-2709	177	137	−	−	PROPN
iajs-2709	177	138	2𝛿	2𝛿	PRON
iajs-2709	177	139	�	�	NOUN
iajs-2709	177	140	̂	̂	VERB
iajs-2709	177	141	�	�	NOUN
iajs-2709	177	142	)	)	PUNCT
iajs-2709	177	143	+	+	CCONJ
iajs-2709	177	144	𝑎2(3	𝑎2(3	PROPN
iajs-2709	177	145	�	�	PROPN
iajs-2709	177	146	̂	̂	PROPN
iajs-2709	177	147	�	�	PROPN
iajs-2709	177	148	−	−	NUM
iajs-2709	177	149	3𝛿	3𝛿	NUM
iajs-2709	177	150	�	�	PROPN
iajs-2709	177	151	̂	̂	VERB
iajs-2709	177	152	�	�	NOUN
iajs-2709	177	153	2	2	NUM
iajs-2709	177	154	.	.	PUNCT
iajs-2709	177	155	another	another	DET
iajs-2709	177	156	estimator	estimator	NOUN
iajs-2709	177	157	under	under	ADP
iajs-2709	177	158	generalized	generalize	VERB
iajs-2709	177	159	weighted	weight	VERB
iajs-2709	177	160	loss	loss	NOUN
iajs-2709	177	161	function	function	NOUN
iajs-2709	177	162	will	will	AUX
iajs-2709	177	163	be	be	AUX
iajs-2709	177	164	derived	derive	VERB
iajs-2709	177	165	,	,	PUNCT
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iajs-2709	177	167	letting	let	VERB
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iajs-2709	177	170	𝜏	𝜏	X
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iajs-2709	177	172	1	1	NUM
iajs-2709	177	173	,	,	PUNCT
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iajs-2709	177	175	:	:	PUNCT
iajs-2709	177	176	λ̂21	λ̂21	PROPN
iajs-2709	177	177	=	=	SYM
iajs-2709	177	178	a0	a0	PROPN
iajs-2709	177	179	+	+	CCONJ
iajs-2709	177	180	a1e(λ|x	a1e(λ|x	NOUN
iajs-2709	177	181	)	)	PUNCT
iajs-2709	178	1	+	+	CCONJ
iajs-2709	179	1	a2e(λ2|x	a2e(λ2|x	NOUN
iajs-2709	179	2	)	)	PUNCT
iajs-2709	180	1	a0e	a0e	NOUN
iajs-2709	180	2	(	(	PUNCT
iajs-2709	180	3	1	1	NUM
iajs-2709	180	4	λ	λ	NOUN
iajs-2709	180	5	|x	|x	NOUN
iajs-2709	180	6	)	)	PUNCT
iajs-2709	181	1	+	+	CCONJ
iajs-2709	181	2	a1	a1	NOUN
iajs-2709	181	3	+	+	CCONJ
iajs-2709	181	4	a2e(λ|x	a2e(λ|x	NOUN
iajs-2709	181	5	)	)	PUNCT
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iajs-2709	181	8	(	(	PUNCT
iajs-2709	181	9	39	39	NUM
iajs-2709	181	10	)	)	PUNCT
iajs-2709	181	11	,	,	PUNCT
iajs-2709	181	12	(	(	PUNCT
iajs-2709	181	13	43	43	NUM
iajs-2709	181	14	)	)	PUNCT
iajs-2709	181	15	and	and	CCONJ
iajs-2709	181	16	(	(	PUNCT
iajs-2709	181	17	48	48	NUM
iajs-2709	181	18	)	)	PUNCT
iajs-2709	181	19	into	into	ADP
iajs-2709	181	20	(	(	PUNCT
iajs-2709	181	21	2	2	X
iajs-2709	181	22	)	)	PUNCT
iajs-2709	181	23	give	give	VERB
iajs-2709	181	24	up	up	ADP
iajs-2709	181	25	,	,	PUNCT
iajs-2709	181	26	λ̂21	λ̂21	NOUN
iajs-2709	181	27	=	=	SYM
iajs-2709	181	28	𝑦5+[−𝑎1𝛿+𝑎2(1−2𝛿	𝑦5+[−𝑎1𝛿+𝑎2(1−2𝛿	PROPN
iajs-2709	181	29	�	�	PROPN
iajs-2709	181	30	̂	̂	NOUN
iajs-2709	181	31	�	�	NOUN
iajs-2709	181	32	)]σ22	)]σ22	PROPN
iajs-2709	182	1	+	+	PROPN
iajs-2709	182	2	(	(	PUNCT
iajs-2709	182	3	𝑎1	𝑎1	ADP
iajs-2709	182	4	2	2	NUM
iajs-2709	182	5	+	+	ADJ
iajs-2709	182	6	𝑎2	𝑎2	PROPN
iajs-2709	182	7	�	�	PROPN
iajs-2709	182	8	̂	̂	NOUN
iajs-2709	182	9	�	�	NOUN
iajs-2709	182	10	)[(l03σ22	)[(l03σ22	PUNCT
iajs-2709	182	11	2	2	NUM
iajs-2709	182	12	)	)	PUNCT
iajs-2709	183	1	+	+	ADJ
iajs-2709	183	2	(	(	PUNCT
iajs-2709	183	3	l21σ11σ22	l21σ11σ22	PROPN
iajs-2709	183	4	)	)	PUNCT
iajs-2709	183	5	]	]	PUNCT
iajs-2709	183	6	(	(	PUNCT
iajs-2709	183	7	𝑎0	𝑎0	PROPN
iajs-2709	183	8	�	�	PROPN
iajs-2709	183	9	̂	̂	NUM
iajs-2709	183	10	�	�	PROPN
iajs-2709	183	11	+	+	PROPN
iajs-2709	183	12	𝑎1+𝑎2	𝑎1+𝑎2	PROPN
iajs-2709	183	13	�	�	PROPN
iajs-2709	183	14	̂	̂	SYM
iajs-2709	183	15	�	�	NOUN
iajs-2709	183	16	)+[𝑎0	)+[𝑎0	NOUN
iajs-2709	183	17	(	(	PUNCT
iajs-2709	183	18	1	1	NUM
iajs-2709	183	19	�	�	PROPN
iajs-2709	183	20	̂	̂	VERB
iajs-2709	183	21	�	�	NOUN
iajs-2709	183	22	3	3	NUM
iajs-2709	183	23	+	+	NUM
iajs-2709	183	24	𝛿	𝛿	PRON
iajs-2709	183	25	�	�	PROPN
iajs-2709	183	26	̂	̂	NOUN
iajs-2709	183	27	�	�	NOUN
iajs-2709	183	28	2)−𝑎2𝛿]σ22	2)−𝑎2𝛿]σ22	NUM
iajs-2709	183	29	+	+	PROPN
iajs-2709	183	30	(	(	PUNCT
iajs-2709	183	31	−𝑎0	−𝑎0	PROPN
iajs-2709	183	32	2	2	NUM
iajs-2709	183	33	�	�	PROPN
iajs-2709	183	34	̂	̂	NOUN
iajs-2709	183	35	�	�	NOUN
iajs-2709	183	36	2	2	NUM
iajs-2709	183	37	+	+	NOUN
iajs-2709	183	38	𝑎2	𝑎2	NOUN
iajs-2709	183	39	2	2	NUM
iajs-2709	183	40	)	)	PUNCT
iajs-2709	184	1	[	[	X
iajs-2709	184	2	(	(	PUNCT
iajs-2709	184	3	l03σ22	l03σ22	PROPN
iajs-2709	184	4	2	2	NUM
iajs-2709	184	5	)	)	PUNCT
iajs-2709	184	6	+	+	PROPN
iajs-2709	184	7	(	(	PUNCT
iajs-2709	184	8	l21σ11σ22	l21σ11σ22	PROPN
iajs-2709	184	9	)	)	PUNCT
iajs-2709	184	10	]	]	PUNCT
iajs-2709	185	1	(	(	PUNCT
iajs-2709	185	2	60	60	NUM
iajs-2709	185	3	)	)	PUNCT
iajs-2709	185	4	where	where	SCONJ
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iajs-2709	185	6	𝑦5	𝑦5	NOUN
iajs-2709	185	7	=	=	SYM
iajs-2709	185	8	(	(	PUNCT
iajs-2709	185	9	𝑎0	𝑎0	PROPN
iajs-2709	185	10	+	+	CCONJ
iajs-2709	185	11	𝑎1	𝑎1	PROPN
iajs-2709	185	12	�	�	PROPN
iajs-2709	185	13	̂	̂	NUM
iajs-2709	185	14	�	�	PROPN
iajs-2709	185	15	+	+	CCONJ
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iajs-2709	185	17	)	)	PUNCT
iajs-2709	185	18	.	.	PUNCT
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iajs-2709	186	4	k=2	k=2	PROPN
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iajs-2709	186	6	𝜏	𝜏	X
iajs-2709	186	7	=	=	SYM
iajs-2709	186	8	2	2	NUM
iajs-2709	186	9	,	,	PUNCT
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iajs-2709	186	11	:	:	PUNCT
iajs-2709	186	12	λ̂22	λ̂22	PROPN
iajs-2709	186	13	=	=	SYM
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iajs-2709	186	17	λ	λ	NOUN
iajs-2709	186	18	|x)+a1+a2e(λ|x	|x)+a1+a2e(λ|x	PROPN
iajs-2709	186	19	)	)	PUNCT
iajs-2709	186	20	a0e	a0e	PROPN
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iajs-2709	186	23	λ2|x)+a1e	λ2|x)+a1e	NOUN
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iajs-2709	186	25	1	1	NUM
iajs-2709	186	26	λ	λ	NOUN
iajs-2709	186	27	|x)+a2	|x)+a2	NUM
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iajs-2709	186	29	substituting	substitute	VERB
iajs-2709	186	30	(	(	PUNCT
iajs-2709	186	31	48	48	NUM
iajs-2709	186	32	)	)	PUNCT
iajs-2709	186	33	and	and	CCONJ
iajs-2709	186	34	(	(	PUNCT
iajs-2709	186	35	53	53	NUM
iajs-2709	186	36	)	)	PUNCT
iajs-2709	186	37	into	into	ADP
iajs-2709	186	38	(	(	PUNCT
iajs-2709	186	39	2	2	X
iajs-2709	186	40	)	)	PUNCT
iajs-2709	186	41	give	give	VERB
iajs-2709	186	42	up	up	ADP
iajs-2709	186	43	,	,	PUNCT
iajs-2709	186	44	λ̂22	λ̂22	PROPN
iajs-2709	186	45	=	=	PUNCT
iajs-2709	186	46	(	(	PUNCT
iajs-2709	186	47	a1	a1	X
iajs-2709	186	48	λ̂	λ̂	X
iajs-2709	186	49	+	+	PROPN
iajs-2709	186	50	𝑎1+𝑎2	𝑎1+𝑎2	PROPN
iajs-2709	186	51	�	�	PROPN
iajs-2709	186	52	̂	̂	SYM
iajs-2709	186	53	�	�	NOUN
iajs-2709	186	54	)+[𝑎0	)+[𝑎0	NOUN
iajs-2709	186	55	(	(	PUNCT
iajs-2709	186	56	1	1	NUM
iajs-2709	186	57	�	�	PROPN
iajs-2709	186	58	̂	̂	VERB
iajs-2709	186	59	�	�	NOUN
iajs-2709	186	60	3	3	NUM
iajs-2709	186	61	+	+	NUM
iajs-2709	186	62	𝛿	𝛿	PRON
iajs-2709	186	63	�	�	PROPN
iajs-2709	186	64	̂	̂	NOUN
iajs-2709	186	65	�	�	NOUN
iajs-2709	186	66	2)−𝑎2𝑎]σ22	2)−𝑎2𝑎]σ22	NUM
iajs-2709	186	67	+	+	PROPN
iajs-2709	186	68	(	(	PUNCT
iajs-2709	186	69	−𝑎0	−𝑎0	PROPN
iajs-2709	186	70	2	2	NUM
iajs-2709	186	71	�	�	PROPN
iajs-2709	186	72	̂	̂	NOUN
iajs-2709	186	73	�	�	NOUN
iajs-2709	186	74	2	2	NUM
iajs-2709	186	75	+	+	NOUN
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iajs-2709	186	77	2	2	NUM
iajs-2709	186	78	)	)	PUNCT
iajs-2709	187	1	[	[	X
iajs-2709	187	2	(	(	PUNCT
iajs-2709	187	3	l03σ22	l03σ22	PROPN
iajs-2709	187	4	2	2	NUM
iajs-2709	187	5	)	)	PUNCT
iajs-2709	187	6	+	+	PROPN
iajs-2709	187	7	(	(	PUNCT
iajs-2709	187	8	l21σ11σ22	l21σ11σ22	PROPN
iajs-2709	187	9	)	)	PUNCT
iajs-2709	187	10	]	]	PUNCT
iajs-2709	187	11	(	(	PUNCT
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iajs-2709	187	13	�	�	PROPN
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iajs-2709	187	15	�	�	NOUN
iajs-2709	187	16	2	2	NUM
iajs-2709	187	17	+	+	NUM
iajs-2709	187	18	𝛼1	𝛼1	PROPN
iajs-2709	187	19	�	�	PROPN
iajs-2709	187	20	̂	̂	NUM
iajs-2709	187	21	�	�	PROPN
iajs-2709	187	22	+	+	SYM
iajs-2709	187	23	a2)+𝒚𝟔σ22−	a2)+𝒚𝟔σ22−	PROPN
iajs-2709	187	24	(	(	PUNCT
iajs-2709	187	25	𝑎0	𝑎0	PROPN
iajs-2709	187	26	�	�	PROPN
iajs-2709	187	27	̂	̂	VERB
iajs-2709	187	28	�	�	NOUN
iajs-2709	187	29	3	3	NUM
iajs-2709	187	30	+	+	NOUN
iajs-2709	187	31	𝑎1	𝑎1	PROPN
iajs-2709	187	32	2	2	NUM
iajs-2709	187	33	�	�	PROPN
iajs-2709	187	34	̂	̂	NOUN
iajs-2709	187	35	�	�	NOUN
iajs-2709	187	36	2))[(l03σ22	2))[(l03σ22	NUM
iajs-2709	187	37	2	2	NUM
iajs-2709	187	38	)	)	PUNCT
iajs-2709	187	39	+	+	PROPN
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iajs-2709	187	41	l21σ11σ22	l21σ11σ22	PROPN
iajs-2709	187	42	)	)	PUNCT
iajs-2709	187	43	]	]	X
iajs-2709	187	44	(	(	PUNCT
iajs-2709	187	45	61	61	NUM
iajs-2709	187	46	)	)	PUNCT
iajs-2709	187	47	ibn	ibn	PROPN
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iajs-2709	188	5	.	.	PUNCT
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iajs-2709	190	9	3	3	NUM
iajs-2709	190	10	�	�	PROPN
iajs-2709	190	11	̂	̂	NOUN
iajs-2709	190	12	�	�	NOUN
iajs-2709	190	13	4	4	NUM
iajs-2709	190	14	+	+	NUM
iajs-2709	190	15	2𝛿	2𝛿	PROPN
iajs-2709	190	16	�	�	PROPN
iajs-2709	190	17	̂	̂	NOUN
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iajs-2709	190	19	3	3	NUM
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iajs-2709	191	1	+	+	CCONJ
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iajs-2709	192	2	(	(	PUNCT
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iajs-2709	192	4	�	�	PROPN
iajs-2709	192	5	̂	̂	NOUN
iajs-2709	192	6	�	�	NOUN
iajs-2709	192	7	3	3	NUM
iajs-2709	192	8	+	+	CCONJ
iajs-2709	192	9	𝛿	𝛿	PRON
iajs-2709	192	10	�	�	PROPN
iajs-2709	192	11	̂	̂	NOUN
iajs-2709	192	12	�	�	NOUN
iajs-2709	192	13	2	2	NUM
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iajs-2709	192	18	study	study	NOUN
iajs-2709	192	19	in	in	ADP
iajs-2709	192	20	this	this	DET
iajs-2709	192	21	section	section	NOUN
iajs-2709	192	22	,	,	PUNCT
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iajs-2709	192	26	monte	monte	PROPN
iajs-2709	192	27	–	–	PUNCT
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iajs-2709	192	29	simulation	simulation	NOUN
iajs-2709	192	30	to	to	PART
iajs-2709	192	31	compare	compare	VERB
iajs-2709	192	32	the	the	DET
iajs-2709	192	33	performance	performance	NOUN
iajs-2709	192	34	of	of	ADP
iajs-2709	192	35	different	different	ADJ
iajs-2709	192	36	estimates	estimate	NOUN
iajs-2709	192	37	(	(	PUNCT
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iajs-2709	192	39	estimators	estimator	NOUN
iajs-2709	192	40	under	under	ADP
iajs-2709	192	41	generalized	generalized	ADJ
iajs-2709	192	42	weighted	weight	VERB
iajs-2709	192	43	loss	loss	NOUN
iajs-2709	192	44	function	function	NOUN
iajs-2709	192	45	)	)	PUNCT
iajs-2709	192	46	for	for	ADP
iajs-2709	192	47	unknown	unknown	ADJ
iajs-2709	192	48	shape	shape	NOUN
iajs-2709	192	49	and	and	CCONJ
iajs-2709	192	50	scale	scale	NOUN
iajs-2709	192	51	parameters	parameter	NOUN
iajs-2709	192	52	of	of	ADP
iajs-2709	192	53	wd	wd	PROPN
iajs-2709	192	54	based	base	VERB
iajs-2709	192	55	on	on	ADP
iajs-2709	192	56	the	the	DET
iajs-2709	192	57	mean	mean	ADJ
iajs-2709	192	58	squared	square	VERB
iajs-2709	192	59	errors	error	NOUN
iajs-2709	192	60	,	,	PUNCT
iajs-2709	192	61	which	which	PRON
iajs-2709	192	62	can	can	AUX
iajs-2709	192	63	be	be	AUX
iajs-2709	192	64	written	write	VERB
iajs-2709	192	65	as	as	ADP
iajs-2709	192	66	:	:	PUNCT
iajs-2709	192	67	mse	mse	X
iajs-2709	192	68	(	(	PUNCT
iajs-2709	192	69	𝜃	𝜃	NOUN
iajs-2709	192	70	)	)	PUNCT
iajs-2709	192	71	=	=	PUNCT
iajs-2709	193	1	∑	∑	PUNCT
iajs-2709	193	2	 	 	SPACE
iajs-2709	193	3	𝑙	𝑙	X
iajs-2709	193	4	𝑖=1	𝑖=1	PROPN
iajs-2709	193	5	(	(	PUNCT
iajs-2709	193	6	𝜃𝑖	𝜃𝑖	ADP
iajs-2709	193	7	−	−	PROPN
iajs-2709	193	8	𝜃	𝜃	NOUN
iajs-2709	193	9	)	)	PUNCT
iajs-2709	193	10	2	2	NUM
iajs-2709	194	1	𝐼	𝐼	ADP
iajs-2709	194	2	where	where	SCONJ
iajs-2709	194	3	,	,	PUNCT
iajs-2709	194	4	i	i	PRON
iajs-2709	194	5	is	be	AUX
iajs-2709	194	6	the	the	DET
iajs-2709	194	7	number	number	NOUN
iajs-2709	194	8	of	of	ADP
iajs-2709	194	9	replications	replication	NOUN
iajs-2709	194	10	.	.	PUNCT
iajs-2709	195	1	we	we	PRON
iajs-2709	195	2	generated	generate	VERB
iajs-2709	195	3	i	i	NOUN
iajs-2709	195	4	=	=	NOUN
iajs-2709	195	5	5000	5000	NUM
iajs-2709	195	6	samples	sample	NOUN
iajs-2709	195	7	from	from	ADP
iajs-2709	195	8	two	two	NUM
iajs-2709	195	9	parameters	parameter	NOUN
iajs-2709	195	10	wd	wd	ADJ
iajs-2709	195	11	with	with	ADP
iajs-2709	195	12	different	different	ADJ
iajs-2709	195	13	sizes	size	NOUN
iajs-2709	195	14	(	(	PUNCT
iajs-2709	195	15	n	n	NOUN
iajs-2709	195	16	=	=	SYM
iajs-2709	195	17	20	20	NUM
iajs-2709	195	18	,	,	PUNCT
iajs-2709	195	19	50	50	NUM
iajs-2709	195	20	,	,	PUNCT
iajs-2709	195	21	and	and	CCONJ
iajs-2709	195	22	100	100	NUM
iajs-2709	195	23	)	)	PUNCT
iajs-2709	195	24	.	.	PUNCT
iajs-2709	196	1	with	with	ADP
iajs-2709	196	2	assuming	assume	VERB
iajs-2709	196	3	(	(	PUNCT
iajs-2709	196	4	ϑ	ϑ	X
iajs-2709	196	5	=	=	SYM
iajs-2709	196	6	0.7	0.7	NUM
iajs-2709	196	7	,	,	PUNCT
iajs-2709	196	8	1.4	1.4	NUM
iajs-2709	196	9	)	)	PUNCT
iajs-2709	196	10	and	and	CCONJ
iajs-2709	196	11	(	(	PUNCT
iajs-2709	196	12	λ	λ	X
iajs-2709	196	13	=	=	SYM
iajs-2709	196	14	0.5	0.5	NUM
iajs-2709	196	15	,	,	PUNCT
iajs-2709	196	16	1.5	1.5	NUM
iajs-2709	196	17	)	)	PUNCT
iajs-2709	196	18	.	.	PUNCT
iajs-2709	197	1	the	the	DET
iajs-2709	197	2	values	value	NOUN
iajs-2709	197	3	of	of	ADP
iajs-2709	197	4	the	the	DET
iajs-2709	197	5	prior	prior	ADJ
iajs-2709	197	6	’s	’s	PART
iajs-2709	197	7	parameter	parameter	NOUN
iajs-2709	197	8	of	of	ADP
iajs-2709	197	9	ϑ	ϑ	PROPN
iajs-2709	197	10	was	be	AUX
iajs-2709	197	11	chosen	choose	VERB
iajs-2709	197	12	as	as	ADP
iajs-2709	197	13	δ	δ	PROPN
iajs-2709	197	14	=	=	PROPN
iajs-2709	197	15	0.5	0.5	NUM
iajs-2709	197	16	,	,	PUNCT
iajs-2709	197	17	1.5	1.5	NUM
iajs-2709	197	18	,	,	PUNCT
iajs-2709	197	19	and	and	CCONJ
iajs-2709	197	20	for	for	ADP
iajs-2709	197	21	λ	λ	PROPN
iajs-2709	197	22	'	'	PART
iajs-2709	197	23	s	s	PROPN
iajs-2709	197	24	prior	prior	ADJ
iajs-2709	197	25	parameter	parameter	NOUN
iajs-2709	197	26	γ	γ	X
iajs-2709	197	27	=	=	PROPN
iajs-2709	197	28	0.5	0.5	NUM
iajs-2709	197	29	,	,	PUNCT
iajs-2709	197	30	1.5	1.5	NUM
iajs-2709	197	31	.	.	NOUN
iajs-2709	198	1	5	5	NUM
iajs-2709	198	2	.	.	X
iajs-2709	198	3	discussion	discussion	NOUN
iajs-2709	198	4	and	and	CCONJ
iajs-2709	198	5	conclusion	conclusion	NOUN
iajs-2709	198	6	the	the	DET
iajs-2709	198	7	expected	expect	VERB
iajs-2709	198	8	values	value	NOUN
iajs-2709	198	9	and	and	CCONJ
iajs-2709	198	10	(	(	PUNCT
iajs-2709	198	11	mse	mse	NOUN
iajs-2709	198	12	's	's	PART
iajs-2709	198	13	)	)	PUNCT
iajs-2709	198	14	for	for	ADP
iajs-2709	198	15	estimating	estimate	VERB
iajs-2709	198	16	ϑ	ϑ	X
iajs-2709	198	17	and	and	CCONJ
iajs-2709	198	18	λ	λ	NOUN
iajs-2709	198	19	are	be	AUX
iajs-2709	198	20	tabulated	tabulate	VERB
iajs-2709	198	21	in	in	ADP
iajs-2709	198	22	tables	table	NOUN
iajs-2709	198	23	(	(	PUNCT
iajs-2709	198	24	1	1	NUM
iajs-2709	198	25	-	-	SYM
iajs-2709	198	26	8)	8)	NUM
iajs-2709	198	27	.	.	PUNCT
iajs-2709	199	1	the	the	DET
iajs-2709	199	2	following	follow	VERB
iajs-2709	199	3	points	point	NOUN
iajs-2709	199	4	can	can	AUX
iajs-2709	199	5	summarize	summarize	VERB
iajs-2709	199	6	the	the	DET
iajs-2709	199	7	results	result	NOUN
iajs-2709	199	8	of	of	ADP
iajs-2709	199	9	the	the	DET
iajs-2709	199	10	tables	table	NOUN
iajs-2709	199	11	:	:	PUNCT
iajs-2709	200	1	1	1	X
iajs-2709	200	2	.	.	PUNCT
iajs-2709	200	3	the	the	DET
iajs-2709	200	4	results	result	NOUN
iajs-2709	200	5	of	of	ADP
iajs-2709	200	6	the	the	DET
iajs-2709	200	7	two	two	NUM
iajs-2709	200	8	parameters	parameter	NOUN
iajs-2709	200	9	of	of	ADP
iajs-2709	200	10	weibull	weibull	NOUN
iajs-2709	200	11	distribution	distribution	NOUN
iajs-2709	200	12	shows	show	VERB
iajs-2709	200	13	that	that	SCONJ
iajs-2709	200	14	the	the	DET
iajs-2709	200	15	expected	expect	VERB
iajs-2709	200	16	values	value	NOUN
iajs-2709	200	17	for	for	ADP
iajs-2709	200	18	different	different	ADJ
iajs-2709	200	19	estimates	estimate	NOUN
iajs-2709	200	20	are	be	AUX
iajs-2709	200	21	close	close	ADJ
iajs-2709	200	22	to	to	ADP
iajs-2709	200	23	the	the	DET
iajs-2709	200	24	real	real	ADJ
iajs-2709	200	25	values	value	NOUN
iajs-2709	200	26	for	for	ADP
iajs-2709	200	27	all	all	DET
iajs-2709	200	28	sizes	size	NOUN
iajs-2709	200	29	of	of	ADP
iajs-2709	200	30	samples	sample	NOUN
iajs-2709	200	31	.	.	PUNCT
iajs-2709	201	1	2	2	X
iajs-2709	201	2	.	.	X
iajs-2709	201	3	the	the	DET
iajs-2709	201	4	best	good	ADJ
iajs-2709	201	5	estimator	estimator	NOUN
iajs-2709	201	6	for	for	ADP
iajs-2709	201	7	𝜆	𝜆	PROPN
iajs-2709	201	8	is	be	AUX
iajs-2709	201	9	bayesian	bayesian	NOUN
iajs-2709	201	10	estimation	estimation	NOUN
iajs-2709	201	11	under	under	ADP
iajs-2709	201	12	generalized	generalize	VERB
iajs-2709	201	13	weighted	weight	VERB
iajs-2709	201	14	loss	loss	NOUN
iajs-2709	201	15	function	function	NOUN
iajs-2709	201	16	when	when	SCONJ
iajs-2709	201	17	(	(	PUNCT
iajs-2709	201	18	k=2	k=2	PROPN
iajs-2709	201	19	,	,	PUNCT
iajs-2709	201	20	𝜏=0	𝜏=0	PUNCT
iajs-2709	201	21	)	)	PUNCT
iajs-2709	201	22	(	(	PUNCT
iajs-2709	201	23	�	�	NOUN
iajs-2709	201	24	̂	̂	SYM
iajs-2709	201	25	�	�	NOUN
iajs-2709	201	26	20	20	NUM
iajs-2709	201	27	)	)	PUNCT
iajs-2709	201	28	with	with	ADP
iajs-2709	201	29	(	(	PUNCT
iajs-2709	201	30	𝛾	𝛾	NOUN
iajs-2709	201	31	=	=	SYM
iajs-2709	201	32	𝛿	𝛿	ADJ
iajs-2709	201	33	=	=	PROPN
iajs-2709	201	34	1.5	1.5	NUM
iajs-2709	201	35	)	)	PUNCT
iajs-2709	201	36	when	when	SCONJ
iajs-2709	201	37	n=	n=	ADJ
iajs-2709	201	38	100	100	NUM
iajs-2709	201	39	for	for	ADP
iajs-2709	201	40	different	different	ADJ
iajs-2709	201	41	cases	case	NOUN
iajs-2709	201	42	and	and	CCONJ
iajs-2709	201	43	with	with	ADP
iajs-2709	201	44	all	all	DET
iajs-2709	201	45	sample	sample	NOUN
iajs-2709	201	46	sizes	size	NOUN
iajs-2709	201	47	,	,	PUNCT
iajs-2709	201	48	from	from	ADP
iajs-2709	201	49	table	table	NOUN
iajs-2709	201	50	(	(	PUNCT
iajs-2709	201	51	4	4	NUM
iajs-2709	201	52	)	)	PUNCT
iajs-2709	201	53	.	.	PUNCT
iajs-2709	202	1	3	3	X
iajs-2709	202	2	.	.	X
iajs-2709	202	3	the	the	DET
iajs-2709	202	4	best	good	ADJ
iajs-2709	202	5	estimator	estimator	NOUN
iajs-2709	202	6	for	for	ADP
iajs-2709	202	7	𝜗	𝜗	NOUN
iajs-2709	202	8	is	be	AUX
iajs-2709	202	9	bayesian	bayesian	NOUN
iajs-2709	202	10	estimation	estimation	NOUN
iajs-2709	202	11	under	under	ADP
iajs-2709	202	12	generalized	generalize	VERB
iajs-2709	202	13	weighted	weight	VERB
iajs-2709	202	14	loss	loss	NOUN
iajs-2709	202	15	function	function	NOUN
iajs-2709	202	16	when	when	SCONJ
iajs-2709	202	17	(	(	PUNCT
iajs-2709	202	18	k=1	k=1	NOUN
iajs-2709	202	19	,	,	PUNCT
iajs-2709	202	20	𝜏=2	𝜏=2	NOUN
iajs-2709	202	21	)	)	PUNCT
iajs-2709	202	22	(	(	PUNCT
iajs-2709	202	23	�	�	PROPN
iajs-2709	202	24	̂	̂	SYM
iajs-2709	202	25	�	�	NOUN
iajs-2709	202	26	20	20	NUM
iajs-2709	202	27	)	)	PUNCT
iajs-2709	202	28	with	with	ADP
iajs-2709	202	29	(	(	PUNCT
iajs-2709	202	30	𝛾	𝛾	PROPN
iajs-2709	202	31	,	,	PUNCT
iajs-2709	202	32	𝛿	𝛿	ADJ
iajs-2709	202	33	=	=	ADJ
iajs-2709	202	34	1.5	1.5	NUM
iajs-2709	202	35	)	)	PUNCT
iajs-2709	203	1	when	when	SCONJ
iajs-2709	203	2	n=20	n=20	NOUN
iajs-2709	203	3	for	for	ADP
iajs-2709	203	4	different	different	ADJ
iajs-2709	203	5	cases	case	NOUN
iajs-2709	203	6	and	and	CCONJ
iajs-2709	203	7	with	with	ADP
iajs-2709	203	8	all	all	DET
iajs-2709	203	9	sample	sample	NOUN
iajs-2709	203	10	sizes	size	NOUN
iajs-2709	203	11	,	,	PUNCT
iajs-2709	203	12	from	from	ADP
iajs-2709	203	13	table	table	NOUN
iajs-2709	203	14	(	(	PUNCT
iajs-2709	203	15	8)	8)	NUM
iajs-2709	203	16	.	.	NOUN
iajs-2709	203	17	4	4	NUM
iajs-2709	203	18	.	.	X
iajs-2709	204	1	it	it	PRON
iajs-2709	204	2	is	be	AUX
iajs-2709	204	3	clear	clear	ADJ
iajs-2709	204	4	that	that	SCONJ
iajs-2709	204	5	the	the	DET
iajs-2709	204	6	results	result	NOUN
iajs-2709	204	7	for	for	ADP
iajs-2709	204	8	ϑ	ϑ	NOUN
iajs-2709	204	9	,	,	PUNCT
iajs-2709	204	10	𝜆	𝜆	X
iajs-2709	204	11	(	(	PUNCT
iajs-2709	204	12	expected	expect	VERB
iajs-2709	204	13	values	value	NOUN
iajs-2709	204	14	and	and	CCONJ
iajs-2709	204	15	mse	mse	PROPN
iajs-2709	204	16	'	'	PART
iajs-2709	204	17	s	s	NOUN
iajs-2709	204	18	)	)	PUNCT
iajs-2709	204	19	at	at	ADP
iajs-2709	204	20	𝛾	𝛾	PROPN
iajs-2709	204	21	,	,	PUNCT
iajs-2709	204	22	δ	δ	PROPN
iajs-2709	204	23	=	=	NOUN
iajs-2709	204	24	1.5	1.5	NUM
iajs-2709	204	25	are	be	AUX
iajs-2709	204	26	the	the	DET
iajs-2709	204	27	best	good	ADJ
iajs-2709	204	28	as	as	ADP
iajs-2709	204	29	the	the	DET
iajs-2709	204	30	corresponding	corresponding	ADJ
iajs-2709	204	31	result	result	NOUN
iajs-2709	204	32	when	when	SCONJ
iajs-2709	204	33	(	(	PUNCT
iajs-2709	204	34	γ	γ	X
iajs-2709	204	35	,	,	PUNCT
iajs-2709	204	36	δ	δ	NOUN
iajs-2709	204	37	=	=	NUM
iajs-2709	204	38	0.5	0.5	NUM
iajs-2709	204	39	)	)	PUNCT
iajs-2709	204	40	.	.	PUNCT
iajs-2709	205	1	5	5	X
iajs-2709	205	2	.	.	X
iajs-2709	206	1	it	it	PRON
iajs-2709	206	2	is	be	AUX
iajs-2709	206	3	observed	observe	VERB
iajs-2709	206	4	that	that	SCONJ
iajs-2709	206	5	mse	mse	PROPN
iajs-2709	206	6	's	's	PART
iajs-2709	206	7	of	of	ADP
iajs-2709	206	8	all	all	DET
iajs-2709	206	9	shape	shape	NOUN
iajs-2709	206	10	parameter	parameter	NOUN
iajs-2709	206	11	estimators	estimator	NOUN
iajs-2709	206	12	increase	increase	VERB
iajs-2709	206	13	with	with	ADP
iajs-2709	206	14	the	the	DET
iajs-2709	206	15	increase	increase	NOUN
iajs-2709	206	16	of	of	ADP
iajs-2709	206	17	the	the	DET
iajs-2709	206	18	value	value	NOUN
iajs-2709	206	19	of	of	ADP
iajs-2709	206	20	the	the	DET
iajs-2709	206	21	shape	shape	NOUN
iajs-2709	206	22	parameter	parameter	NOUN
iajs-2709	206	23	.	.	PUNCT
iajs-2709	207	1	also	also	ADV
iajs-2709	207	2	,	,	PUNCT
iajs-2709	207	3	mse	mse	NOUN
iajs-2709	207	4	values	value	NOUN
iajs-2709	207	5	for	for	ADP
iajs-2709	207	6	all	all	DET
iajs-2709	207	7	scale	scale	NOUN
iajs-2709	207	8	parameter	parameter	NOUN
iajs-2709	207	9	estimates	estimate	NOUN
iajs-2709	207	10	are	be	AUX
iajs-2709	207	11	increasing	increase	VERB
iajs-2709	207	12	with	with	ADP
iajs-2709	207	13	the	the	DET
iajs-2709	207	14	scale	scale	NOUN
iajs-2709	207	15	parameter	parameter	NOUN
iajs-2709	207	16	value	value	NOUN
iajs-2709	207	17	in	in	ADP
iajs-2709	207	18	all	all	DET
iajs-2709	207	19	cases	case	NOUN
iajs-2709	207	20	.	.	PUNCT
iajs-2709	208	1	ibn	ibn	PROPN
iajs-2709	208	2	al	al	PROPN
iajs-2709	208	3	-	-	PUNCT
iajs-2709	208	4	haitham	haitham	PROPN
iajs-2709	208	5	jour	jour	X
iajs-2709	208	6	.	.	PROPN
iajs-2709	208	7	for	for	ADP
iajs-2709	208	8	pure	pure	ADJ
iajs-2709	208	9	&	&	CCONJ
iajs-2709	208	10	appl	appl	PROPN
iajs-2709	208	11	.	.	PUNCT
iajs-2709	209	1	sci	sci	PROPN
iajs-2709	209	2	.	.	PROPN
iajs-2709	210	1	34(4)2021	34(4)2021	NUM
iajs-2709	210	2	126	126	NUM
iajs-2709	210	3	table	table	NOUN
iajs-2709	210	4	1	1	NUM
iajs-2709	210	5	:	:	PUNCT
iajs-2709	210	6	expected	expect	VERB
iajs-2709	210	7	values	value	NOUN
iajs-2709	210	8	and	and	CCONJ
iajs-2709	210	9	mse	mse	NOUN
iajs-2709	210	10	’s	’s	PART
iajs-2709	210	11	for	for	ADP
iajs-2709	210	12	λ̂	λ̂	X
iajs-2709	210	13	when	when	SCONJ
iajs-2709	210	14	λ	λ	X
iajs-2709	210	15	=	=	SYM
iajs-2709	210	16	0.5	0.5	NUM
iajs-2709	210	17	and	and	CCONJ
iajs-2709	210	18	ϑ	ϑ	X
iajs-2709	210	19	=	=	SYM
iajs-2709	210	20	0.7	0.7	NUM
iajs-2709	210	21	estimate	estimate	NOUN
iajs-2709	210	22	criterion	criterion	NOUN
iajs-2709	210	23	n	n	NOUN
iajs-2709	210	24	=	=	SYM
iajs-2709	210	25	20	20	NUM
iajs-2709	210	26	n	n	NOUN
iajs-2709	210	27	=	=	SYM
iajs-2709	210	28	50	50	NUM
iajs-2709	210	29	n	n	NOUN
iajs-2709	210	30	=	=	NUM
iajs-2709	210	31	100	100	NUM
iajs-2709	210	32	𝛄	𝛄	NOUN
iajs-2709	210	33	=	=	NOUN
iajs-2709	210	34	0.5	0.5	NUM
iajs-2709	210	35	𝛅=0.5	𝛅=0.5	NUM
iajs-2709	210	36	𝛄	𝛄	PROPN
iajs-2709	210	37	=	=	NOUN
iajs-2709	210	38	1.5	1.5	NUM
iajs-2709	210	39	𝛅	𝛅	X
iajs-2709	210	40	=	=	SYM
iajs-2709	210	41	1.5	1.5	NUM
iajs-2709	210	42	𝛄	𝛄	NOUN
iajs-2709	210	43	=	=	NOUN
iajs-2709	210	44	0.5	0.5	NUM
iajs-2709	210	45	𝛅=0.5	𝛅=0.5	NUM
iajs-2709	210	46	𝛄	𝛄	PROPN
iajs-2709	210	47	=	=	NOUN
iajs-2709	210	48	1.5	1.5	NUM
iajs-2709	210	49	𝛅	𝛅	X
iajs-2709	210	50	=	=	SYM
iajs-2709	210	51	1.5	1.5	NUM
iajs-2709	210	52	𝛄	𝛄	NOUN
iajs-2709	210	53	=	=	NOUN
iajs-2709	210	54	0.5	0.5	NUM
iajs-2709	210	55	𝛅=0.5	𝛅=0.5	NUM
iajs-2709	210	56	𝛄	𝛄	PROPN
iajs-2709	210	57	=	=	NOUN
iajs-2709	210	58	1.5	1.5	NUM
iajs-2709	210	59	𝛅	𝛅	NOUN
iajs-2709	210	60	=	=	SYM
iajs-2709	210	61	1.5	1.5	NUM
iajs-2709	210	62	�	�	NOUN
iajs-2709	210	63	̂	̂	SYM
iajs-2709	210	64	�	�	NOUN
iajs-2709	210	65	𝟏𝟎	𝟏𝟎	NOUN
iajs-2709	210	66	mean	mean	VERB
iajs-2709	210	67	0.503227	0.503227	NUM
iajs-2709	210	68	0.495727	0.495727	NUM
iajs-2709	210	69	0.507006	0.507006	NUM
iajs-2709	210	70	0.504095	0.504095	NUM
iajs-2709	210	71	0.508469	0.508469	NUM
iajs-2709	210	72	0.507031	0.507031	NUM
iajs-2709	210	73	mse	mse	NOUN
iajs-2709	210	74	0.000025	0.000025	NUM
iajs-2709	210	75	0.000028	0.000028	NUM
iajs-2709	210	76	0.000050	0.000050	NUM
iajs-2709	210	77	0.000018	0.000018	NUM
iajs-2709	210	78	0.000072	0.000072	NUM
iajs-2709	210	79	0.000050	0.000050	NUM
iajs-2709	210	80	�	�	SYM
iajs-2709	210	81	̂	̂	SYM
iajs-2709	210	82	�	�	NOUN
iajs-2709	210	83	𝟏𝟏	𝟏𝟏	NUM
iajs-2709	210	84	mean	mean	VERB
iajs-2709	210	85	0.489750	0.489750	NUM
iajs-2709	210	86	0.482754	0.482754	NUM
iajs-2709	210	87	0.501506	0.501506	NUM
iajs-2709	210	88	0.498679	0.498679	NUM
iajs-2709	210	89	0.505701	0.505701	NUM
iajs-2709	210	90	0.504283	0.504283	NUM
iajs-2709	210	91	mse	mse	NOUN
iajs-2709	210	92	0.000113	0.000113	NUM
iajs-2709	210	93	0.000310	0.000310	NUM
iajs-2709	210	94	0.000003	0.000003	NUM
iajs-2709	210	95	0.000003	0.000003	NUM
iajs-2709	210	96	0.000033	0.000033	NUM
iajs-2709	210	97	0.000019	0.000019	NUM
iajs-2709	210	98	�	�	SYM
iajs-2709	210	99	̂	̂	VERB
iajs-2709	210	100	�	�	NOUN
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iajs-2709	219	50	̂	̂	SYM
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iajs-2709	219	52	𝟏𝟏	𝟏𝟏	NUM
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iajs-2709	222	5	̂	̂	VERB
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iajs-2709	242	22	̂	̂	VERB
iajs-2709	242	23	�	�	NOUN
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