id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-4323	Niang, Aladji Babacar; Sangar´e, Harouna ; Kpanzou, Tchilabalo Abozou; Lo, Gane Samb; Ngom, Nafy	Extensions of Two Classical Poisson Limit Laws to Non-stationary Independent Sequences	2022	17	.pdf	application/pdf	4511	239	77	Under the conditions ( ∀n ≥ 1, ∀1 ≤ k ≤ k(n), ak,n = 0 ) and k(n)∑ k=1 σ2k,n = 1, the summands Sn[X] of the arrayX converges to standard Gaussian law and max1≤k≤k(n) σ 2 k,n → 0 if and only if the following Lynderberg-Gaussian condition holds: ∀ε > 0, Ln,G(ε) Math, 15 (2) (2022), 511-527 526 (GP4) for 0 < ε < 1, n ≥ 1, 1 ≤ k ≤ k(n), and for B(ε, k, n) = 1∑ j=0 1(∣∣∣∣j−qk,n−1 ∣∣∣∣≥ε )( j − pk,n )2 pjk,nq 1−j k,n , we have B(ε, n) = k(n)∑ k=1 B(ε, k, n) → 0.	cache/ejpam-4323.pdf	txt/ejpam-4323.txt