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The smallest upper bound for the pth absolute central moment of a class of random variables
The Mathematical Scientist (2012)
  • Martin Egozcue
  • Luis Fuentes García
  • Wing Keung Wong
  • Ricardas Zitikis, UWO
Abstract

We establish the smallest upper bound for the p absolute central moment over the class of all random variables with values in a compact interval. Numerical values of the bound are calculated for the first ten integer values of p, and its asymptotic behaviour derived when p tends to infinity. In addition, we establish an analogous bound in the case of all symmetric random variables with values in a compact interval. Such results play a role in a number of areas including actuarial science, economics, finance, operations research, and reliability.

Publication Date
December 10, 2012
Citation Information
Martin Egozcue, Luis Fuentes García, Wing Keung Wong and Ricardas Zitikis. "The smallest upper bound for the pth absolute central moment of a class of random variables" The Mathematical Scientist Vol. 37 Iss. 2 (2012)
Available at: http://works.bepress.com/luis_fuentesgarcia/3/