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Dispersive and superadditive ordering

Published online by Cambridge University Press:  01 July 2016

A. N. Ahmed ,
A. Alzaid ,
J. Bartoszewicz  and
S. C. Kochar
A. N. Ahmed*
Affiliation:
King Saud University
A. Alzaid*
Affiliation:
King Saud University
J. Bartoszewicz*
Affiliation:
University of Wrocław
S. C. Kochar*
Affiliation:
Panjab University
*
∗Postal address: Department of Statistics, King Saud University, PO Box 2455, Riyadh 11451, Saudi Arabia.
∗Postal address: Department of Statistics, King Saud University, PO Box 2455, Riyadh 11451, Saudi Arabia.
∗∗ Postal address: Mathematical Institute, University of Wroclaw, Pl. Grunwaldski 2/4, 50–384 Wrocław, Poland.
∗∗∗ Postal address: Department of Statistics, Panjab University, Chandigarh 160014, India.
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Abstract

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Recently many authors have established connections between dispersive ordering and some other partial orderings of distributions. This paper presents the connection which superadditive ordering has with dispersive ordering.

Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 18 , Issue 4 , December 1986 , pp. 1019 - 1022
Copyright
Copyright © Applied Probability Trust 1986 

Footnotes

This letter is a combined and revised version of three letters submitted in February 1986 by Ahmed and Alzaid, Bartoszewicz, and Kochar.

References

Barlow, R. and Proschan, F. (1975) Statistical Theory of Reliability and Life Testing. Holt, Rinehart and Winston, New York.Google Scholar
Bartoszewicz, J. (1985a) Moment inequalities for order statistics from ordered families of distributions. Metrika 32, 383–389.CrossRefGoogle Scholar
Bartoszewicz, J. (1985b) Dispersive ordering and monotone failure rate distributions. Adv. Appl. Prob. 17, 472–474.CrossRefGoogle Scholar
Deshpande, J. and Kochar, S. (1983) Dispersive ordering is the same as tail-ordering. Adv. Appl. Prob. 15, 686–687.CrossRefGoogle Scholar
Lewis, T. and Thompson, J. (1981) Dispersive distributions and the connection between dispersivity and strong unimodality. J. Appl. Prob. 18, 76–90.CrossRefGoogle Scholar
Sathe, Y. (1984) A comment on star-ordering and tail-ordering. Adv. Appl. Prob. 16, 692.CrossRefGoogle Scholar
Shaked, M. (1982) Dispersive ordering of distributions. J. Appl. Prob. 19, 310–320.CrossRefGoogle Scholar