A MOMENT INEQUALITY WITH APPLICATION TO CONVERGENCE RATE ESTIMATES IN THE GLOBAL CLT FOR POISSON-BINOMIAL RANDOM SUMS

Shevtsova, IG

Shevtsova, IG (reprint author), Hangzhou Dianzi Univ, Sch Sci, Hangzhou, Zhejiang, Peoples R China.; Shevtsova, IG (reprint author), Russian Acad Sci, Fed Res Ctr Informat & Control, Inst Informat Problems, Moscow, Russia.; Shevtsova, IG (reprint author),

THEORY OF PROBABILITY AND ITS APPLICATIONS, 2018; 62 (2): 278

Abstract

A moment inequality between the central and noncentral third-order absolute moments is proved, which is optimal for every value of the recentering par......

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