On the best constant in Marcinkiewicz-Zygmund inequality

Yao-Feng Ren and Han-Ying Liang

Statistics & Probability Letters, 2001, vol. 53, issue 3, 227-233

Abstract: Let {Xn,n[greater-or-equal, slanted]1} be a sequence of independent r.v.'s with EXn=0, C(p) be the best constant in the following Marcinkiewicz-Zygmund inequality:In this paper we prove that [C(p)]1/p grows like as p-->[infinity] and give an estimate .

Date: 2001
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