Local limit theorem for triangular array of random variables

• Date: 2007
• Main Authors: Korchinsky, I.A., Kulik, A.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4506
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Local limit theorem for triangular array of random variables / I.A. Korchinsky, A.M. Kulik // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 3. — С. 48–54. — Бібліогр.: 3 назв.— англ.

For a triangular array of random variables {Xk,n, k = 1, . . . , cn; n belongs N} such that, for every n, the variables X1,n, . . .,Xcn,n are independent and identically distributed, the local limit theorem for the variables Sn = X1,n + · · · + Xcn,n is established.