Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-26T09:24:22.340Z Has data issue: false hasContentIssue false
  • English
  • Français

Dispersive ordering by dilation

Published online by Cambridge University Press:  14 July 2016

J. Muñoz-Perez  and
A. Sanchez-Gomez
J. Muñoz-Perez
Affiliation:
University of Sevilla
A. Sanchez-Gomez*
Affiliation:
University of Sevilla
*
∗Postal address for both authors: Department of Statistics, University of Sevilla, Tarfia 41012, Spain.
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper a necessary and sufficient condition for the dispersive ordering in dilation sense is given by a convex function which is called the dispersive function and characterizes the distribution function. Some interesting properties of the ordering follow from this result.

Keywords

ORDERING IN DISPERSIONDISPERSION
Type
Short Communications
Information
Journal of Applied Probability , Volume 27 , Issue 2 , June 1990 , pp. 440 - 444
Copyright
Copyright © Applied Probability Trust 1990 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Hickey, R. J. (1984) Continuous majorisation and randomness. J. Appl. Prob. 20, 897–902.CrossRefGoogle Scholar
Hickey, R. J. (1986) Concepts of dispersion in distributions: A comparative note. J. Appl. Prob. 23, 914–921.CrossRefGoogle Scholar
Lewis, T. and Thompson, J. W. (1981) Dispersive distributions and the connections between dispersivity and strong unimodality. J. Appl. Prob. 18, 76–90.CrossRefGoogle Scholar
Schweder, T. (1982) On the dispersion of mixtures. Scand. J. Statist. 9, 165–169.Google Scholar
Shaked, M. (1980) On mixtures from exponential families. J. R. Statist. Soc. B 42, 192–198.Google Scholar
Shaked, M. (1982) Dispersive ordering of distributions. J. Appl. Prob. 19, 310–320.CrossRefGoogle Scholar