Geodesic
Local limit theorem for triangular
Teoriâ slučajnyh processov, Tome 13 (2007) no. 3, pp. 48-54.

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For a triangular array of random variables $\{X_{k,n}, k=1, \ldots, c_n; n\in{\mathbb N}\}$ such that, for every $n,$ the variables $X_{1,n},\ldots,X_{c_n,n}$ are independent and identically distributed, the local limit theorem for the variables $S_n = X_{1,n} + \ldots + X_{c_n,n}$ is established.
Keywords: Local limit theorem, canonical measure, infinitely divisible distribution. 
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Igor A. Korchinsky; Alexey M. Kulik. Local limit theorem for triangular. Teoriâ slučajnyh processov, Tome 13 (2007) no. 3, pp. 48-54. http://geodesic.mathdoc.fr/item/THSP_2007_13_3_a5/

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