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Signed Central Moments of Integer Random Variables with Decreasing Density
Author(s) -
Ahrens J. H.,
Rösler U.
Publication year - 1997
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/1467-9574.00046
Subject(s) - mathematics , integer (computer science) , random variable , variable (mathematics) , combinatorics , mathematical analysis , statistics , computer science , programming language
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.