Title of article
Exact Strong Laws for Multidimensionally Indexed Random Variables
Author/Authors
Adler، نويسنده , , André، نويسنده ,
Issue Information
دوفصلنامه با شماره پیاپی سال 2001
Pages
11
From page
73
To page
83
Abstract
Consider independent and identically distributed random variables {X, Xn, n∈Zd+} with either EX=0 or E |X|=∞. We establish strong laws so that ∑|n|⩽N anXn/bN→1 almost surely. Our procedure selects the constants {an, n∈Zd+} and {bN, N⩾1} so that these strong laws obtain in almost any possible setting.
Keywords
Almost sure convergence , strong law of large numbers , slow variation
Journal title
Journal of Multivariate Analysis
Serial Year
2001
Journal title
Journal of Multivariate Analysis
Record number
1557699
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