Title of article
Precise asymptotics in complete moment convergence for self-normalized sums
Author/Authors
Yuexu Zhao، نويسنده , , Jingxuan Tao، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
8
From page
1779
To page
1786
Abstract
Let X,X1,X2,… be a sequence of nondegenerate i.i.d. random variables with zero means, set Sn=X1+ +Xn and , EX2I(X≤x) is a slowly varying function at ∞. We prove that, for any β>2,δ>2/β−1, where N is a standard normal random variable.
Keywords
Precise asymptotics , Complete moment convergence , Self-normalized sums
Journal title
Computers and Mathematics with Applications
Serial Year
2008
Journal title
Computers and Mathematics with Applications
Record number
921065
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