An easily verifiable dispersion order for discrete distributions

A. Suárez Llorens

Dispersion is a fundamental concept in statistics, but classical measures stochastic orders particularly face important limitations in the discrete setting. We propose a new weak dispersive order for discrete distributions that relaxes restrictive support conditions while preserving key properties. In addition, we introduce variability measures based on probability concentration that satisfy classical axioms and are easy to interpret. Empirical examples illustrate the usefulness of the proposed approach.

Keywords: stochastic orders variability discrete distribution Lévy concentration function

J. Cárcamo Urtiaga

D. I. Flores Silva, M. A. Sordo Diaz, A. Suárez Llorens

P. Oliveira

M. A. Sordo Díaz