id	sid	eid	entity	type
ejpam-4323	1	1	european journal	ORG
ejpam-4323	2	1	15	CARDINAL
ejpam-4323	2	2	2	CARDINAL
ejpam-4323	2	3	2022	CARDINAL
ejpam-4323	2	4	511	CARDINAL
ejpam-4323	2	5	1307-5543	CARDINAL
ejpam-4323	2	6	new york	GPE
ejpam-4323	2	7	two	CARDINAL
ejpam-4323	2	8	sangaré2	ORG
ejpam-4323	2	9	kpanzou3,∗	NORP
ejpam-4323	2	10	gane samb lo4	PERSON
ejpam-4323	2	11	ngom1 1lerstad	LAW
ejpam-4323	2	12	gaston berger university	ORG
ejpam-4323	2	13	saint-louis	GPE
ejpam-4323	3	1	imc	GPE
ejpam-4323	3	2	fst	ORG
ejpam-4323	3	3	université des sciences	ORG
ejpam-4323	3	4	de bamako	ORG
ejpam-4323	4	1	lerstad	GPE
ejpam-4323	4	2	gaston berger university	ORG
ejpam-4323	4	3	saint-louis	GPE
ejpam-4323	4	4	3	CARDINAL
ejpam-4323	4	5	kara	PERSON
ejpam-4323	4	6	togo	PERSON
ejpam-4323	5	1	lerstad	GPE
ejpam-4323	5	2	gaston berger university	ORG
ejpam-4323	5	3	4 lerstad	QUANTITY
ejpam-4323	5	4	gaston berger university	ORG
ejpam-4323	5	5	saint-louis	GPE
ejpam-4323	5	6	african university of science and technology	ORG
ejpam-4323	5	7	abuja	GPE
ejpam-4323	5	8	pierre	PERSON
ejpam-4323	5	9	marie curie university	ORG
ejpam-4323	5	10	paris vi	GPE
ejpam-4323	5	11	france	GPE
ejpam-4323	6	1	rv	GPE
ejpam-4323	7	1	binomial	DATE
ejpam-4323	8	1	rv	GPE
ejpam-4323	9	1	bernoulli rv’s	PERSON
ejpam-4323	9	2	rv	GPE
ejpam-4323	10	1	rv	GPE
ejpam-4323	10	2	two	CARDINAL
ejpam-4323	13	1	2020	DATE
ejpam-4323	13	2	60b10	CARDINAL
ejpam-4323	13	3	60f05	CARDINAL
ejpam-4323	13	4	62g30	CARDINAL
ejpam-4323	13	5	bernoulli	PERSON
ejpam-4323	15	1	ab niang	PERSON
ejpam-4323	15	2	gs lo	PERSON
ejpam-4323	15	3	511	CARDINAL
ejpam-4323	16	1	2022	CARDINAL
ejpam-4323	17	1	ab niang et al	PERSON
ejpam-4323	18	1	j. pure	PERSON
ejpam-4323	18	2	15	CARDINAL
ejpam-4323	18	3	2	CARDINAL
ejpam-4323	18	4	2022	CARDINAL
ejpam-4323	18	5	511-527	MONEY
ejpam-4323	19	1	1.1	CARDINAL
ejpam-4323	20	1	b(n	PERSON
ejpam-4323	20	2	zero	CARDINAL
ejpam-4323	20	3	0	CARDINAL
ejpam-4323	22	1	bernoulli	PERSON
ejpam-4323	22	2	xj	ORG
ejpam-4323	23	1	+ xn	PERSON
ejpam-4323	24	1	xj	GPE
ejpam-4323	25	1	4	CARDINAL
ejpam-4323	28	1	n ≥ 1	DATE
ejpam-4323	28	2	1	CARDINAL
ejpam-4323	28	3	two	CARDINAL
ejpam-4323	31	1	ω	ORDINAL
ejpam-4323	32	1	1	CARDINAL
ejpam-4323	32	2	∀n ≥ 1	DATE
ejpam-4323	32	3	b(n	PERSON
ejpam-4323	32	4	n ≥ 1	DATE
ejpam-4323	32	5	2	CARDINAL
ejpam-4323	32	6	0	CARDINAL
ejpam-4323	33	1	2	CARDINAL
ejpam-4323	34	1	ω	ORDINAL
ejpam-4323	35	1	ab niang et al	PERSON
ejpam-4323	36	1	j. pure	PERSON
ejpam-4323	36	2	15	CARDINAL
ejpam-4323	36	3	2	CARDINAL
ejpam-4323	36	4	2022	CARDINAL
ejpam-4323	36	5	511	CARDINAL
ejpam-4323	36	6	∀n ≥ 1	DATE
ejpam-4323	36	7	n ≥ 1	DATE
ejpam-4323	36	8	2	CARDINAL
ejpam-4323	36	9	1− pn	MONEY
ejpam-4323	36	10	∈	ORG
ejpam-4323	36	11	0	CARDINAL
ejpam-4323	38	1	two	CARDINAL
ejpam-4323	38	2	5	CARDINAL
ejpam-4323	39	1	second	ORDINAL
ejpam-4323	39	2	1	CARDINAL
ejpam-4323	39	3	2	CARDINAL
ejpam-4323	39	4	3	CARDINAL
ejpam-4323	39	5	6	CARDINAL
ejpam-4323	41	1	2	CARDINAL
ejpam-4323	43	1	sn	ORG
ejpam-4323	44	1	+ zn	PERSON
ejpam-4323	44	2	zn	ORG
ejpam-4323	45	1	1− qneit	PRODUCT
ejpam-4323	45	2	∈	ORG
ejpam-4323	45	3	φsn(t	ORG
ejpam-4323	45	4	1−	WORK_OF_ART
ejpam-4323	46	1	+ o(nqn	GPE
ejpam-4323	46	2	1−	WORK_OF_ART
ejpam-4323	47	1	+ o(nqn	GPE
ejpam-4323	48	1	∈	ORG
ejpam-4323	48	2	1	CARDINAL
ejpam-4323	49	1	it−1	ORG
ejpam-4323	50	1	ab niang et al	PERSON
ejpam-4323	51	1	j. pure	PERSON
ejpam-4323	51	2	15	CARDINAL
ejpam-4323	51	3	2	CARDINAL
ejpam-4323	51	4	2022	CARDINAL
ejpam-4323	51	5	511	CARDINAL
ejpam-4323	54	1	1.2	CARDINAL
ejpam-4323	55	1	b(n	PERSON
ejpam-4323	55	2	n iid bernoulli	ORG
ejpam-4323	56	1	+xn	PERSON
ejpam-4323	56	2	x1,n	ORG
ejpam-4323	56	3	xn	ORG
ejpam-4323	59	1	+x∗ n	PERSON
ejpam-4323	59	2	x∗ n	PERSON
ejpam-4323	60	1	second	ORDINAL
ejpam-4323	63	1	n∑ i=1	PERSON
ejpam-4323	63	2	1	CARDINAL
ejpam-4323	64	1	{xk	PERSON
ejpam-4323	64	2	1 ≤	QUANTITY
ejpam-4323	64	3	n ≥ 1	DATE
ejpam-4323	64	4	ω	ORDINAL
ejpam-4323	64	5	1	CARDINAL
ejpam-4323	64	6	∀n ≥ 1	DATE
ejpam-4323	64	7	2) ∀n ≥ 1	DATE
ejpam-4323	64	8	3	CARDINAL
ejpam-4323	64	9	x1,n	ORG
ejpam-4323	64	10	n ≥ 1	DATE
ejpam-4323	64	11	4	CARDINAL
ejpam-4323	65	1	1	CARDINAL
ejpam-4323	65	2	n ∼ g(pn)− 1	ORG
ejpam-4323	65	3	ab niang et al	PERSON
ejpam-4323	66	1	j. pure	PERSON
ejpam-4323	66	2	15	CARDINAL
ejpam-4323	66	3	2	CARDINAL
ejpam-4323	66	4	2022	CARDINAL
ejpam-4323	66	5	511	CARDINAL
ejpam-4323	66	6	2	CARDINAL
ejpam-4323	66	7	3	CARDINAL
ejpam-4323	67	1	∀k ∈	PERSON
ejpam-4323	68	1	1	CARDINAL
ejpam-4323	68	2	n)− 1	DATE
ejpam-4323	68	3	k(n	PERSON
ejpam-4323	69	1	n)-r.v	PERSON
ejpam-4323	70	1	1	CARDINAL
ejpam-4323	70	2	1	CARDINAL
ejpam-4323	70	3	2	CARDINAL
ejpam-4323	70	4	3	CARDINAL
ejpam-4323	70	5	2	CARDINAL
ejpam-4323	70	6	3	CARDINAL
ejpam-4323	71	1	k(n	PERSON
ejpam-4323	72	1	n)-r.v	PERSON
ejpam-4323	72	2	1	CARDINAL
ejpam-4323	72	3	1	CARDINAL
ejpam-4323	72	4	2	CARDINAL
ejpam-4323	72	5	3	CARDINAL
ejpam-4323	73	1	2	CARDINAL
ejpam-4323	73	2	3	CARDINAL
ejpam-4323	76	1	section 2	LAW
ejpam-4323	76	2	clt	ORG
ejpam-4323	76	3	6	CARDINAL
ejpam-4323	77	1	section 3	LAW
ejpam-4323	78	1	section 4. 2	DATE
ejpam-4323	78	2	g-clt	PERSON
ejpam-4323	78	3	{xk	PERSON
ejpam-4323	78	4	1 ≤	QUANTITY
ejpam-4323	78	5	n ≥ 1	DATE
ejpam-4323	78	6	ω	ORDINAL
ejpam-4323	79	1	n = e(xk	ORG
ejpam-4323	79	2	1 ≤ k ≤ k(n	QUANTITY
ejpam-4323	80	1	ab niang et al	PERSON
ejpam-4323	81	1	j. pure	PERSON
ejpam-4323	81	2	15	CARDINAL
ejpam-4323	81	3	2	CARDINAL
ejpam-4323	81	4	2022	CARDINAL
ejpam-4323	81	5	511-527 516 k(n	MONEY
ejpam-4323	82	1	k=1 xk	PERSON
ejpam-4323	82	2	n, n ≥ 1	ORG
ejpam-4323	83	1	clt	ORG
ejpam-4323	83	2	iid bernoulli	PERSON
ejpam-4323	83	3	de moivre	ORG
ejpam-4323	83	4	6	CARDINAL
ejpam-4323	84	1	clt	ORG
ejpam-4323	85	1	kolmogorov	PERSON
ejpam-4323	85	2	uan	ORG
ejpam-4323	86	1	clt	ORG
ejpam-4323	86	2	clt	ORG
ejpam-4323	88	1	n	ORG
ejpam-4323	89	1	clt	ORG
ejpam-4323	90	1	1	CARDINAL
ejpam-4323	90	2	1≤k≤kn p(|xk	DATE
ejpam-4323	90	3	n − ak	ORG
ejpam-4323	90	4	n|	DATE
ejpam-4323	90	5	0	CARDINAL
ejpam-4323	91	1	2	CARDINAL
ejpam-4323	91	2	2	CARDINAL
ejpam-4323	91	3	0	CARDINAL
ejpam-4323	92	1	n ≥ 1	DATE
ejpam-4323	93	1	3	CARDINAL
ejpam-4323	94	1	ab niang et al	PERSON
ejpam-4323	95	1	j. pure	PERSON
ejpam-4323	95	2	15	CARDINAL
ejpam-4323	95	3	2	CARDINAL
ejpam-4323	95	4	2022	CARDINAL
ejpam-4323	95	5	511	CARDINAL
ejpam-4323	95	6	clt	ORG
ejpam-4323	95	7	uan	ORG
ejpam-4323	95	8	kn(x	PERSON
ejpam-4323	98	1	y2dfk	GPE
ejpam-4323	98	2	n(y	PERSON
ejpam-4323	98	3	∈	ORG
ejpam-4323	98	4	n ≥ 1	DATE
ejpam-4323	98	5	kn(x	PERSON
ejpam-4323	98	6	k(x	PERSON
ejpam-4323	98	7	∀u ∈	ORG
ejpam-4323	98	8	ψ[k](u	PERSON
ejpam-4323	101	1	1−	ORDINAL
ejpam-4323	103	1	kn k.	PERSON
ejpam-4323	105	1	uan	ORG
ejpam-4323	105	2	k(n)∑ k=1 ak	ORG
ejpam-4323	105	3	∈	ORG
ejpam-4323	108	1	y2dfk	GPE
ejpam-4323	108	2	n(y + ak	ORG
ejpam-4323	108	3	∈	ORG
ejpam-4323	108	4	n ≥ 1	DATE
ejpam-4323	108	5	∀u ∈	ORG
ejpam-4323	110	1	1−	ORDINAL
ejpam-4323	112	1	ab niang et al	PERSON
ejpam-4323	113	1	j. pure	PERSON
ejpam-4323	113	2	15	CARDINAL
ejpam-4323	113	3	2	CARDINAL
ejpam-4323	113	4	2022	CARDINAL
ejpam-4323	113	5	511-527 518	MONEY
ejpam-4323	115	1	c1	PERSON
ejpam-4323	116	1	∀n ≥ 1	DATE
ejpam-4323	116	2	k(n)∑ k=1	PERSON
ejpam-4323	117	1	1	CARDINAL
ejpam-4323	117	2	σ 2 k	PERSON
ejpam-4323	117	3	∀ε	PERSON
ejpam-4323	118	1	n(x	GPE
ejpam-4323	118	2	0	CARDINAL
ejpam-4323	119	1	3	CARDINAL
ejpam-4323	120	1	max	PERSON
ejpam-4323	120	2	1≤k≤k(n	DATE
ejpam-4323	120	3	k(n)∑ k=1	PERSON
ejpam-4323	121	1	0	CARDINAL
ejpam-4323	121	2	p(a	GPE
ejpam-4323	121	3	∈	ORG
ejpam-4323	121	4	k(n)∑ k=1 ak	ORG
ejpam-4323	121	5	n →	ORG
ejpam-4323	121	6	lynderberg poisson-type	PERSON
ejpam-4323	121	7	∀ε	PERSON
ejpam-4323	122	1	k(n)∑ k=1 ∫	ORG
ejpam-4323	123	1	0	CARDINAL
ejpam-4323	124	1	4	CARDINAL
ejpam-4323	124	2	3	CARDINAL
ejpam-4323	125	1	ab niang et al	PERSON
ejpam-4323	126	1	j. pure	PERSON
ejpam-4323	126	2	15	CARDINAL
ejpam-4323	126	3	2	CARDINAL
ejpam-4323	126	4	2022	CARDINAL
ejpam-4323	126	5	511	CARDINAL
ejpam-4323	126	6	first	ORDINAL
ejpam-4323	126	7	bernoulli	PERSON
ejpam-4323	126	8	qk,n	ORG
ejpam-4323	126	9	zero	CARDINAL
ejpam-4323	128	1	1	CARDINAL
ejpam-4323	129	1	{xk	PERSON
ejpam-4323	129	2	1 ≤	QUANTITY
ejpam-4323	130	1	n ≥ 1	DATE
ejpam-4323	130	2	bernoulli	PERSON
ejpam-4323	130	3	1) ∀n ≥ 1	DATE
ejpam-4323	130	4	2	CARDINAL
ejpam-4323	130	5	n → 0	ORG
ejpam-4323	130	6	3	CARDINAL
ejpam-4323	130	7	1≤k≤k(n	CARDINAL
ejpam-4323	132	1	1	CARDINAL
ejpam-4323	133	1	k ∈	ORG
ejpam-4323	134	1	2	CARDINAL
ejpam-4323	134	2	qk	ORG
ejpam-4323	136	1	1≤k≤kn p(|xk	DATE
ejpam-4323	136	2	n − ak	ORG
ejpam-4323	136	3	n|	DATE
ejpam-4323	137	1	1≤k≤kn	CARDINAL
ejpam-4323	138	1	n qk	PERSON
ejpam-4323	139	1	0	CARDINAL
ejpam-4323	140	1	1≤k≤k(n	CARDINAL
ejpam-4323	140	2	ab niang et al	PERSON
ejpam-4323	141	1	j. pure	PERSON
ejpam-4323	141	2	15	CARDINAL
ejpam-4323	141	3	2	CARDINAL
ejpam-4323	141	4	2022	CARDINAL
ejpam-4323	141	5	511-527 520	MONEY
ejpam-4323	141	6	1≤k≤k(n	CARDINAL
ejpam-4323	141	7	n qk	PERSON
ejpam-4323	141	8	1 +	QUANTITY
ejpam-4323	141	9	1≤k≤k(n	CARDINAL
ejpam-4323	142	1	1≤k≤k(n	CARDINAL
ejpam-4323	142	2	1≤k≤k(n	CARDINAL
ejpam-4323	143	1	4	CARDINAL
ejpam-4323	145	1	k(n)∑ k=1	PERSON
ejpam-4323	146	1	n|2 dpk	PERSON
ejpam-4323	146	2	n ( 1(|xk,n−pk	DATE
ejpam-4323	146	3	n|2	ORG
ejpam-4323	147	1	1(|xk,n−pk	DATE
ejpam-4323	147	2	n|2	ORG
ejpam-4323	147	3	n=0	PERSON
ejpam-4323	147	4	1− pk	MONEY
ejpam-4323	148	1	2 k	QUANTITY
ejpam-4323	148	2	2	CARDINAL
ejpam-4323	149	1	4	CARDINAL
ejpam-4323	149	2	0	CARDINAL
ejpam-4323	150	1	1/2	CARDINAL
ejpam-4323	151	1	1(|on(1)+1|≥ε	DATE
ejpam-4323	152	1	1	CARDINAL
ejpam-4323	156	1	n ab niang et al	ORG
ejpam-4323	157	1	j. pure	PERSON
ejpam-4323	157	2	15	CARDINAL
ejpam-4323	157	3	2	CARDINAL
ejpam-4323	157	4	2022	CARDINAL
ejpam-4323	157	5	511	CARDINAL
ejpam-4323	159	1	0	CARDINAL
ejpam-4323	161	1	2	CARDINAL
ejpam-4323	162	1	{xk	PERSON
ejpam-4323	162	2	1 ≤	QUANTITY
ejpam-4323	163	1	n ≥ 1	DATE
ejpam-4323	163	2	1) ∀n ≥ 1	DATE
ejpam-4323	163	3	1− qk	PERSON
ejpam-4323	163	4	2	CARDINAL
ejpam-4323	163	5	qk,n → 0	ORG
ejpam-4323	163	6	3	CARDINAL
ejpam-4323	163	7	1≤k≤k(n	CARDINAL
ejpam-4323	163	8	qk,n	ORG
ejpam-4323	165	1	2	CARDINAL
ejpam-4323	165	2	2	CARDINAL
ejpam-4323	165	3	qk	ORG
ejpam-4323	165	4	1 +	QUANTITY
ejpam-4323	165	5	1	CARDINAL
ejpam-4323	165	6	2	DATE
ejpam-4323	165	7	3	CARDINAL
ejpam-4323	167	1	1≤k≤kn p(|xk	DATE
ejpam-4323	167	2	n − ak	ORG
ejpam-4323	167	3	n|	DATE
ejpam-4323	168	1	1≤k≤kn	CARDINAL
ejpam-4323	169	1	1≤k≤kn qk	PERCENT
ejpam-4323	169	2	n p2k	PERSON
ejpam-4323	170	1	0	CARDINAL
ejpam-4323	171	1	1≤k≤k(n	CARDINAL
ejpam-4323	171	2	ab niang et al	PERSON
ejpam-4323	172	1	j. pure	PERSON
ejpam-4323	172	2	15	CARDINAL
ejpam-4323	172	3	2	CARDINAL
ejpam-4323	172	4	2022	CARDINAL
ejpam-4323	172	5	511	CARDINAL
ejpam-4323	172	6	1≤k≤k(n	CARDINAL
ejpam-4323	172	7	qk	ORG
ejpam-4323	172	8	n p2k	PERSON
ejpam-4323	172	9	1 +	QUANTITY
ejpam-4323	172	10	1≤k≤k(n	CARDINAL
ejpam-4323	172	11	qk,n	ORG
ejpam-4323	173	1	1≤k≤k(n	CARDINAL
ejpam-4323	173	2	1≤k≤k(n	CARDINAL
ejpam-4323	173	3	qk	ORG
ejpam-4323	173	4	1 +	QUANTITY
ejpam-4323	173	5	1≤k≤k(n	CARDINAL
ejpam-4323	173	6	qk,n	ORG
ejpam-4323	173	7	4	CARDINAL
ejpam-4323	174	1	k(n)∑ k=1	PERSON
ejpam-4323	175	1	qk	ORG
ejpam-4323	176	1	j k	PERSON
ejpam-4323	176	2	n− qk	PERSON
ejpam-4323	176	3	n=j	PERSON
ejpam-4323	176	4	n1(∣∣∣∣ qk	PERSON
ejpam-4323	176	5	qk	ORG
ejpam-4323	176	6	n1(∣∣∣∣ qk	PERSON
ejpam-4323	176	7	1− qk	PERSON
ejpam-4323	176	8	n pk	PERSON
ejpam-4323	176	9	j = 1	WORK_OF_ART
ejpam-4323	177	1	j k	PERSON
ejpam-4323	177	2	qk	ORG
ejpam-4323	177	3	− qk	PERSON
ejpam-4323	177	4	j ≥ 2	WORK_OF_ART
ejpam-4323	178	1	1(∣∣∣∣ qk	QUANTITY
ejpam-4323	179	1	1	CARDINAL
ejpam-4323	179	2	niang et al	ORG
ejpam-4323	180	1	j. pure	PERSON
ejpam-4323	180	2	15	CARDINAL
ejpam-4323	180	3	2	CARDINAL
ejpam-4323	180	4	2022	CARDINAL
ejpam-4323	180	5	511	CARDINAL
ejpam-4323	180	6	n1(∣∣∣∣ qk	PERSON
ejpam-4323	180	7	∣∣∣∣ qk	PERSON
ejpam-4323	180	8	1 +	CARDINAL
ejpam-4323	180	9	2 k	PERSON
ejpam-4323	180	10	1(∣∣∣∣ qk	QUANTITY
ejpam-4323	180	11	n1(∣∣∣∣ qk	PERSON
ejpam-4323	180	12	1− qk	PERSON
ejpam-4323	180	13	n pk	PERSON
ejpam-4323	180	14	2	CARDINAL
ejpam-4323	180	15	0	CARDINAL
ejpam-4323	181	1	2	CARDINAL
ejpam-4323	181	2	1(|j−1+on(1)(1+on(1))|≥ε	CARDINAL
ejpam-4323	181	3	1	CARDINAL
ejpam-4323	181	4	aj	PERSON
ejpam-4323	181	5	k	PERSON
ejpam-4323	181	6	j k	PERSON
ejpam-4323	181	7	qk	ORG
ejpam-4323	181	8	− qk	PERSON
ejpam-4323	181	9	2	CARDINAL
ejpam-4323	181	10	1 +	DATE
ejpam-4323	181	11	n	ORG
ejpam-4323	181	12	2	CARDINAL
ejpam-4323	181	13	1 +	DATE
ejpam-4323	181	14	n	ORG
ejpam-4323	181	15	2 ≤	MONEY
ejpam-4323	181	16	1 +	DATE
ejpam-4323	181	17	n	ORG
ejpam-4323	181	18	1 +	DATE
ejpam-4323	181	19	n	ORG
ejpam-4323	182	1	∑ j≥2 aj	PERSON
ejpam-4323	182	2	k	PERSON
ejpam-4323	184	1	qk	ORG
ejpam-4323	184	2	n b(n	PERSON
ejpam-4323	184	3	ab niang et al	PERSON
ejpam-4323	185	1	j. pure	PERSON
ejpam-4323	185	2	15	CARDINAL
ejpam-4323	185	3	2	CARDINAL
ejpam-4323	185	4	2022	CARDINAL
ejpam-4323	185	5	511	CARDINAL
ejpam-4323	185	6	524 b(n	QUANTITY
ejpam-4323	185	7	j2qj−1 k	PERSON
ejpam-4323	185	8	b(n	PERSON
ejpam-4323	185	9	1	CARDINAL
ejpam-4323	186	1	2	CARDINAL
ejpam-4323	187	1	b(n	PERSON
ejpam-4323	187	2	1	CARDINAL
ejpam-4323	187	3	∑ j≥0 qjk	PERSON
ejpam-4323	187	4	qk	ORG
ejpam-4323	187	5	n pk	PERSON
ejpam-4323	188	1	b(n	PERSON
ejpam-4323	188	2	2	CARDINAL
ejpam-4323	188	3	1)qj−1	CARDINAL
ejpam-4323	188	4	jqj−1 k	PERSON
ejpam-4323	189	1	qk,n	ORG
ejpam-4323	189	2	1)qj−2	CARDINAL
ejpam-4323	192	1	1	CARDINAL
ejpam-4323	192	2	1	CARDINAL
ejpam-4323	193	1	qk,n 2 p3k	ORG
ejpam-4323	193	2	1− p2k	PRODUCT
ejpam-4323	193	3	n p2k	ORG
ejpam-4323	193	4	n p3k	ORG
ejpam-4323	193	5	n(1− p2k	GPE
ejpam-4323	194	1	2qk	ORDINAL
ejpam-4323	194	2	n p3k	ORG
ejpam-4323	195	1	2qk	ORDINAL
ejpam-4323	195	2	n p3k	ORG
ejpam-4323	195	3	n = qk,n (pk	ORG
ejpam-4323	195	4	n ≤ 4qk	ORG
ejpam-4323	195	5	n p3k	ORG
ejpam-4323	196	1	b(n	PERSON
ejpam-4323	196	2	0	CARDINAL
ejpam-4323	198	1	ab niang et al	PERSON
ejpam-4323	199	1	j. pure	PERSON
ejpam-4323	199	2	15	CARDINAL
ejpam-4323	199	3	2	CARDINAL
ejpam-4323	199	4	2022	CARDINAL
ejpam-4323	199	5	511-527	MONEY
ejpam-4323	200	1	1 + 2c(1 +	DATE
ejpam-4323	201	1	0	CARDINAL
ejpam-4323	205	1	0	CARDINAL
ejpam-4323	208	1	k(n	PERSON
ejpam-4323	209	1	iid bernoulli b(pn	ORG
ejpam-4323	210	1	≈	DATE
ejpam-4323	213	1	1−	CARDINAL
ejpam-4323	216	1	bernoulli b(pk	PERSON
ejpam-4323	221	1	two	CARDINAL
ejpam-4323	221	2	two	CARDINAL
ejpam-4323	222	1	3	CARDINAL
ejpam-4323	223	1	{xk	PERSON
ejpam-4323	223	2	1 ≤	QUANTITY
ejpam-4323	224	1	n ≥ 1	DATE
ejpam-4323	224	2	∀n ≥ 1	DATE
ejpam-4323	224	3	gp2	ORG
ejpam-4323	224	4	n(1− pk	GPE
ejpam-4323	224	5	0	CARDINAL
ejpam-4323	224	6	1≤k≤k(n	CARDINAL
ejpam-4323	224	7	ab niang et al	PERSON
ejpam-4323	225	1	j. pure	PERSON
ejpam-4323	225	2	15	CARDINAL
ejpam-4323	225	3	2	CARDINAL
ejpam-4323	225	4	2022	CARDINAL
ejpam-4323	225	5	511-527 526	MONEY
ejpam-4323	225	6	0	CARDINAL
ejpam-4323	225	7	n ≥ 1	DATE
ejpam-4323	225	8	1 ≤	QUANTITY
ejpam-4323	226	1	1∑ j=0 1(∣∣∣∣j−qk	DATE
ejpam-4323	226	2	2	CARDINAL
ejpam-4323	226	3	b(ε	PERSON
ejpam-4323	227	1	k(n)∑ k=1 b(ε	PERSON
ejpam-4323	227	2	0	CARDINAL
ejpam-4323	229	1	4	CARDINAL
ejpam-4323	230	1	{xk	PERSON
ejpam-4323	230	2	1 ≤	QUANTITY
ejpam-4323	231	1	n ≥ 1	DATE
ejpam-4323	231	2	gn1	GPE
ejpam-4323	231	3	∀n ≥ 1	DATE
ejpam-4323	231	4	1− qk	PERSON
ejpam-4323	231	5	sup1≤k≤k(n)(qk	ORG
ejpam-4323	231	6	2	CARDINAL
ejpam-4323	231	7	0	CARDINAL
ejpam-4323	231	8	1	CARDINAL
ejpam-4323	231	9	2	CARDINAL
ejpam-4323	231	10	1≤k≤k(n)(qk	CARDINAL
ejpam-4323	231	11	n/p h k,n	ORG
ejpam-4323	232	1	0	CARDINAL
ejpam-4323	232	2	n ≥ 1	DATE
ejpam-4323	232	3	0 ≤ k ≤ k(n	QUANTITY
ejpam-4323	233	1	1(∣∣∣∣j−	CARDINAL
ejpam-4323	233	2	qk	ORG
ejpam-4323	233	3	n pk	PERSON
ejpam-4323	233	4	− qk	PERSON
ejpam-4323	233	5	nq j k	PERSON
ejpam-4323	233	6	b(ε	PERSON
ejpam-4323	234	1	k(n)∑ k=1 b(ε	PERSON
ejpam-4323	234	2	0	CARDINAL
ejpam-4323	236	1	527	CARDINAL
ejpam-4323	236	2	3	CARDINAL
ejpam-4323	237	1	1	CARDINAL
ejpam-4323	237	2	2	DATE
ejpam-4323	237	3	uan	ORG
ejpam-4323	238	1	4	DATE
ejpam-4323	239	1	4	CARDINAL
ejpam-4323	240	1	first	ORDINAL
ejpam-4323	242	1	theorems 1	ORG
ejpam-4323	242	2	2	CARDINAL
ejpam-4323	243	1	3	CARDINAL
ejpam-4323	245	1	1	CARDINAL
ejpam-4323	247	1	i. third	ORG
ejpam-4323	248	1	john wiley & sons inc	ORG
ejpam-4323	248	2	new-york	GPE
ejpam-4323	248	3	1968	DATE
ejpam-4323	249	1	2	CARDINAL
ejpam-4323	252	1	third	ORDINAL
ejpam-4323	253	1	john wiley & sons inc	ORG
ejpam-4323	253	2	new-york	GPE
ejpam-4323	253	3	1968	DATE
ejpam-4323	254	1	3	CARDINAL
ejpam-4323	256	1	inc	GPE
ejpam-4323	256	2	singapore	GPE
ejpam-4323	256	3	2005	DATE
ejpam-4323	257	1	4	CARDINAL
ejpam-4323	259	1	calgary	GPE
ejpam-4323	259	2	2018	DATE
ejpam-4323	260	1	5	CARDINAL
ejpam-4323	260	2	gs lo	PERSON
ejpam-4323	260	3	ta kpanzou	PERSON
ejpam-4323	261	1	ab niang	PERSON
ejpam-4323	262	1	weak convergence	PERSON
ejpam-4323	262	2	ia	GPE
ejpam-4323	263	1	calgary	GPE
ejpam-4323	263	2	2021	DATE
ejpam-4323	264	1	6	CARDINAL
ejpam-4323	265	1	i. springer-verlag	PERSON
ejpam-4323	266	1	new-york	GPE
ejpam-4323	266	2	1977	DATE