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Dependence and Aging Properties of Lifetimes with Schur-Constant Survival Functions

Published online by Cambridge University Press:  27 July 2009

Lucia Caramellino  and
Fabio Spizzichino
Lucia Caramellino
Affiliation:
Department of Mathematics, University “La Sapienza”, P.le A. Moro 5, 00185, Rome, Italy
Fabio Spizzichino
Affiliation:
Department of Mathematics, University “La Sapienza”, P.le A. Moro 5, 00185, Rome, Italy
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Abstract

For n-dimensional survival functions, we study some probabilistic aspects of the Schur-constant property. The latter is of interest in that it extends the “lack-of-memory” property in a Bayesian context. Some general facts are studied in detail, and related results about interdependence, aging, and extendibility are presented.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 8 , Issue 1 , January 1994 , pp. 103 - 111
Copyright
Copyright © Cambridge University Press 1994

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References

1.Barlow, R.E. & Mendel, M.B. (1992). Similarity as a characteristic of wear-out. In Clarotti, C.A., Barlow, R.E., & Spizzichino, F. (eds.), Reliability and decision making. Amsterdam: Elsevier Science Publisher.Google Scholar
2.Barlow, R.E. & Proschan, F. (1975). Statistical theory of reliability and life testing. New York: Holt, Rinehart and Winston.Google Scholar
3.Caramellino, L. (1991). Variabili aleatorie non negative: Proprieta'di Schur e di ageing delle dis-tribuzioni. Unpublished graduation thesis in Mathematics, University “La Sapienza,” Rome.Google Scholar
4.de Finetti, B. (1937). Le prevision: Ses lois logiques, ses sources subjectives. Annales de l'Institut Henri Poincare 1: 1–68.Google Scholar
5.de Finetti, B. (1964). Alcune osservazioni sulla suddivisione casuale di un intervallo. Giornale dell'Istituto Italiano degli Attuari.Google Scholar
6.Diaconis, P. & Freedman, D. (1987). A dozen de Finetti-style results in search of a theory. Annales de l'Institut Henri Poincare 23: 397–423.Google Scholar
7.Marshall, A.W. & Olkin, I. (1979). Inequalities: Theory of majorization and its applications. New York: Academic Press.Google Scholar
8.Spizzichino, F. (1992). Reliability decision problems under condition of ageing. In Berger, Bernardo, Dawid, , & Smith, (eds.), Bayesian statistics 4. Oxford: Clarendon Press.Google Scholar