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A stress–strength system

Published online by Cambridge University Press:  14 July 2016

Nader Ebrahimi
Nader Ebrahimi*
Affiliation:
Northern Illinois University
*
∗ Postal address: Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115–2888, USA.
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Abstract

Suppose Y is the strength of a system subjected to a sequence of stresses X 1, X 2, X 3, · ··. Let N(t) be the number of stresses occurring by time t and let T be the lifetime of the system. Then the survival distribution of is given by where and . In this note we aim at determining from the above model various non-parametric classes of life distributions which are of interest in reliability theory.

Keywords

SHOCK MODELSSTRESS AND STRENGTH MODELSPOISSON PROCESSESNON-HOMOGENEOUS POISSON PROCESSESASSOCIATED RANDOM VARIABLESDFRDFRANWUIMRLNWUETOTAL POSITIVITY

Information

Type
Short Communications
Information
Journal of Applied Probability , Volume 22 , Issue 2 , June 1985, pp. 467 - 472
Copyright
Copyright © Applied Probability Trust 1985 

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References

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