Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-10T17:32:12.397Z Has data issue: false hasContentIssue false
  • English
  • Français

Concepts of dispersion in distributions: a comparative note

Published online by Cambridge University Press:  24 August 2016

Raymond J. Hickey
Raymond J. Hickey*
Affiliation:
University of Ulster at Coleraine
*
∗Postal address: Department of Mathematics, University of Ulster at Coleraine, Coleraine, Co. Londonderry, BT52 ISA, N. Ireland.
Get access Rights & Permissions [Opens in a new window]

Abstract

The Lewis-Thompson (L-T) approach to ordering distributions in terms of dispersion is compared to the dispersion ordering obtained from majorisation. For given conditions, L-T ordering is shown to be stronger than majorisation ordering. Dilation is considered in relation to majorisation ordering.

Keywords

DILATIONMAJORISATIONORDERING IN DISPERSIONQUANTILESUNIMODALITY
Type
Research Paper
Information
Journal of Applied Probability , Volume 23 , Issue 4 , December 1986 , pp. 914 - 921
Copyright
Copyright © Applied Probability Trust 1986 

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

Hardy, G. H., Littlewood, J. E. and Pólya, G. (1929) Some inequalities satisfied by convex functions. Messenger of Math. 58, 45–52.Google Scholar
Hickey, R. J. (1983) Majorisation, randomness and some discrete distributions. J. Appl. Prob. 20, 897–902.CrossRefGoogle Scholar
Hickey, R. J. (1984) Continuous majorisation and randomness. J. Appl. Prob. 21, 924–929.Google Scholar
Lewis, T. and Thompson, J. W. (1981) Dispersive distributions and the connection between dispersivity and strong unimodality. J. Appl. Prob. 18, 76–90.CrossRefGoogle Scholar
Saunders, I. W. and Moran, P. A. P. (1978) On the quantiles of the gamma and F distributions. J. Appl. Prob. 15, 426–432.CrossRefGoogle 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