The almost Sure Local Central Limit Theorem for the Product of Partial Sums

Proceedings Mathematical Sciences

Zhichao Weng²  Saralees Nadarajah³  Zuoxiang Peng¹ 

[1]School of Mathematics and Statistics, Southwest University, Chongqing 00, China$$

[2]Department of Mathematics, Ningde Normal University, Fujian 00, Taiwan$$

[3]School of Mathematics, University of Manchester, Manchester, UK$$

关键词: Almost sure local central limit theorem;    partial sum;    product.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

We derive under some regular conditions an almost sure local central limit theorem for the product of partial sums of a sequence of independent identically distributed positive random variables.

【 授权许可】

Unknown