Abstract <p> In the present article, we find lower and upper estimates for the moments of the infinitesum of weighted identically distributed random variables. These estimates generalizethe well-known Khinchin inequalities.</p>

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Moment Inequalities for the Sum of Weighted Independent Identically Distributed Random Variables

  • N. S. Arkashov

摘要

Abstract

In the present article, we find lower and upper estimates for the moments of the infinitesum of weighted identically distributed random variables. These estimates generalizethe well-known Khinchin inequalities.