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Shock models with NBUE survival

Published online by Cambridge University Press:  14 July 2016

Henry W. Block  and
Thomas H. Savits
Henry W. Block
Affiliation:
University of Pittsburgh
Thomas H. Savits
Affiliation:
University of Pittsburgh
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Abstract

Conditions are given on a process so that a shock model governed by the process will have nbue survival time. A related condition is given so that survival will be NBU and it is shown that a pure birth process satisfies this condition. A result of A-Hameed and Proschan is obtained as a corollary.

Keywords

SHOCK MODELSNBUNWUNBUENWUE
Type
Short Communications
Information
Journal of Applied Probability , Volume 15 , Issue 3 , September 1978 , pp. 621 - 628
Copyright
Copyright © Applied Probability Trust 1978 

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References

A-Hameed, M. S. and Proschan, F. (1973). Nonstationary shock models. Stoch. Proc. Appl. 1, 383–404.CrossRefGoogle Scholar
A-Hameed, M. S. and Proschan, F. (1975) Shock models with underlying birth process. J. Appl. Prob. 12, 18–28.Google Scholar
Barlow, R. E. and Proschan, F. (1975) Statistical Theory of Reliability and Life Testing. Holt, Rinehart and Winston, New York.Google Scholar
Esary, J. D., Marshall, A. W. and Proschan, F. (1973) Shock models and wear processes. Ann. Prob. 1, 627–649.Google Scholar