A note on symmetrization procedures for the laws of large numbers

作者：Li, Deli; Liang, Han-Ying^*; Rosalsky, Andrew

来源：Statistics & Probability Letters, 2017, 121: 136-142.

DOI：10.1016/j.spl.2016.10.018

• Weak and strong laws of large numbers
• Row sums from an array of rowwise independent B-valued random variables
• Symmetrization procedure

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.

• 出版日期2017-2
• 单位同济大学