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Partial Orderings of Distributions Based on Right-Spread Functions

Part of: Survival analysis and censored data Distribution theory

Published online by Cambridge University Press:  14 July 2016

J. M. Fernandez-Ponce ,
S. C. Kochar  and
J. Muñoz-Perez
J. M. Fernandez-Ponce*
Affiliation:
Universidad de Sevilla
S. C. Kochar*
Affiliation:
Indian Statistical Institute
J. Muñoz-Perez*
Affiliation:
Universidad de Málaga
*
∗Postal address: Dpto. Estadística e Investigación Operativa, Facultad de Matemáticas, Universidad de Sevilla, Avda. Reina Mercedes, s/n, 41012-Sevilla, Spain.
∗∗Postal address: Indian Statistical Institute, 7, SJS Sansanwal Marg, New Delhi-110016, India.
∗∗∗Postal address: Escuela Superior de Ingenieria Informática, Facultad de, Universidad de Málaga, Campo de Teatinos, 29071-Malaga, Spain.
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Abstract

In this paper we introduce a quantile dispersion measure. We use it to characterize different classes of ageing distributions. Based on the quantile dispersion measure, we propose a new partial ordering for comparing the spread or dispersion in two probability distributions. This new partial ordering is weaker than the well known dispersive ordering and it retains most of its interesting properties.

Keywords

Partial orderingsspreadmean residual life functiondispersive ordering

MSC classification

Primary: 62N05: Reliability and life testing
Secondary: 62E10: Characterization and structure theory
Type
Short Communications
Information
Journal of Applied Probability , Volume 35 , Issue 1 , March 1998 , pp. 221 - 228
Copyright
Copyright © Applied Probability Trust 1998 

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