Journals / Turkish Journal of Mathematics / 2004 / Cilt: 28 - Sayı: 2

Moments Equalities for Nonnegative Integer-Valued Random Variables

Pages
111–117
DOI
—

Abstract

We present and prove two theorems about equalities for the nth moment of nonnegative integer-valued random variables. These equalities generalize the well known equality for the first moment of a nonnegative integer-valued random variable X in terms of its cumulative distribution function, or in terms of its tail distribution.

Özet

We present and prove two theorems about equalities for the nth moment of nonnegative integer-valued random variables. These equalities generalize the well known equality for the first moment of a nonnegative integer-valued random variable X in terms of its cumulative distribution function, or in terms of its tail distribution.

Keywords: Expectation, Moments, Equalities