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Shock models leading to increasing failure rate and decreasing mean residual life survival

Published online by Cambridge University Press:  14 July 2016

Malay Ghosh  and
Nader Ebrahimi
Malay Ghosh*
Affiliation:
Iowa State University
Nader Ebrahimi*
Affiliation:
University of Missouri, Columbia
*
∗ Postal address: Statistical Laboratory and Department of Statistics, Iowa State University, Snedecor Hall, Ames, IA 50011, U.S.A.
∗∗ Postal address: Department of Statistics, University of Missouri, Columbia, MO 65201, U.S.A.
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Abstract

Shock models leading to various univariate and bivariate increasing failure rate (IFR) and decreasing mean residual life (DMRL) distributions are discussed. For proving the IFR properties, shocks are not necessarily assumed to be governed by a Poisson process.

Keywords

SHOCK MODELSIFRDMRLBIVARIATEPOISSON PROCESSESGENERALIZED POISSON PROCESSESTOTAL POSITIVITY

Information

Type
Research Paper
Information
Journal of Applied Probability , Volume 19 , Issue 1 , March 1982 , pp. 158 - 166
Copyright
Copyright © Applied Probability Trust 1982 

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References

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