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Dispersive ordering and monotone failure rate distributions

Published online by Cambridge University Press:  01 July 2016

J. Bartoszewicz
J. Bartoszewicz*
Affiliation:
University of Wrocław
*
∗Postal address: Mathematical Institute, University of Wrocław, PI. Grunwaldzki 2/4, 50-384 Wrocław, Poland.
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Abstract

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Recently many authors (e.g. Shaked (1982), Deshpande and Kochar (1983), Sathe (1984)) have established relations between the dispersive ordering and some other partial orderings of distributions. This note presents connections which the dispersive ordering has with monotone failure rate distributions.

Keywords

PARTIAL ORDERING
Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 17 , Issue 2 , June 1985 , pp. 472 - 474
Copyright
Copyright © Applied Probability Trust 1985 

References

Barlow, R. E. and Proschan, F. (1975) Statistical Theory of Reliability and Life Testing. Holt, Rinehart and Winston, New York.Google Scholar
Bartoszewicz, J. (1982) Moment inequalities for order statistics from ordered families of distributions. Metrika. To appear.Google Scholar
Deshpande, J. V. and Kochar, S. C. (1983) Dispersive ordering is the same as tail-ordering. Adv. Appl. Prob. 15, 686–687.CrossRefGoogle Scholar
Doksum, K. (1969) Star-shaped transformations and the power of rank tests. Ann. Math. Statist. 40, 1167–1176.CrossRefGoogle 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
Sathe, Y. (1984) A comment on star-ordering and tail-ordering. Adv. Appl. Prob. 16, 692.CrossRefGoogle Scholar
Shared, M. (1982) Dispersive ordering of distributions. J. Appl. Prob. 19, 310–320.Google Scholar