Title of article
An almost sure central limit theorem for self-normalized partial sums
Author/Authors
Sai-Hua Huanga، نويسنده , , Tian-Xiao Pangb، نويسنده , , ?، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
6
From page
2639
To page
2644
Abstract
Let {Xi, i ≥ 1} be a sequence of i.i.d. random variables which is in the domain of attraction of
the normal law with mean zero and possibly infinite variance. Denote Sn =
Σni
=1 Xi, V2
n = Σn
i=1 X2
i . Then an almost sure central limit theorem for self-normalized partial sums Sn/Vn
is studied under a mild condition in this paper.
Keywords
Almost sure , Self-normalized , Central limit theorem , Domain of attraction of the normal law
Journal title
Computers and Mathematics with Applications
Serial Year
2010
Journal title
Computers and Mathematics with Applications
Record number
921735
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