Signed Central Moments of Integer Random Variables with Decreasing Density

In: Statistica Neerlandica: journal of the Netherlands Society for Statistics and Operations Research, Band 51, Heft 2, S. 146-154

Abstract

Signed central α‐moments of integer valued rv with decreasing density are considered. These are all positive if α≥3/2. We state sharp universal bounds on α depending only on the expectation of the random variable. For special cases the bounds are also evaluated numerically.