Almost sure central limit theorem for products of sums of partial sums

Considering a sequence of i.i.d. positive random variables, for products of sums of partial sums we establish an almost sure central limit theorem, which holds for some class of unbounded measurable functions.

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Bibliographic Details
Published in:Journal of inequalities and applications 2016-02, Vol.2016 (1), p.1-12, Article 49
Main Authors: Feng, Fengxiang, Wang, Dingcheng
Format: Article
Language:English
Subjects:
almost sure central limit theorem
Analysis
Applications of Mathematics
Inequalities
Mathematics
Mathematics and Statistics
products of sums of partial sums
Random variables
Sums
Theorems
unbounded measurable functions
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Description
Summary:Considering a sequence of i.i.d. positive random variables, for products of sums of partial sums we establish an almost sure central limit theorem, which holds for some class of unbounded measurable functions.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-016-0995-2