Article ID Journal Published Year Pages File Type
5129796 Statistics & Probability Letters 2017 7 Pages PDF
Abstract

In this note, general symmetrization procedures for both the weak and strong laws of large numbers concerning the row sums from arrays of rowwise independent Banach space valued random variables are established. Necessary and sufficient conditions are provided for the weak and strong laws of large numbers to hold in terms of corresponding laws of large numbers for a symmetrized version of the array. Several corollaries of the main result are provided.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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