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A bivariate random environmental stress model

  • Pushpa L. Gupta (a1) and R. D. Gupta (a2)

Abstract

We study the relative errors in reliability measures for the series system, under the wrong assumption of independence incorporating environmental effects, when the Marshall and Olkin model with environmental effects should be used.

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Copyright

Corresponding author

Postal address: Department of Mathematics, University of Maine, Orono, ME 04469-0122, USA.
∗∗Postal address: Division of Mathematics, Engineering and Computer Science, University of New Brunswick, Saint John, NB, Canada E2L 4LS.

Footnotes

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Partially supported by NSERC Research Grant #A-4850.

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References

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Bandyopadhyay, D. and Basu, A. P. (1990) On generalization of a model by Lindley and Singpurwalla. Adv. Appl. Prob. 22, 498500.
Barlow, R. E. and Proschan, F. (1975) Statistical Theory of Reliability and Life Testing: Probability Models, Holt, Rinehard and Winston, New York.
Gupta, P. L. and Gupta, R. D. (1987) Relative error in systems reliability. Proc. 47th Session Internat. Statist. Inst., Tokyo, Japan.
Lindley, D. V. and Singpurwalla, N. D. (1986) Multivariate distributions for the life lengths of components of a system sharing a common environment. J. Appl. Prob. 23, 418431.
Marshall, A. W. and Olkin, I. (1967) A multivariate exponential distribution. J. Amer. Statist. Assoc. 62, 3040.
Tsiatis, A. (1975) A non-identifiability aspect of the problem of competing risks. Proc. Nat. Acad. Sci. 72, 2022.

A bivariate random environmental stress model

  • Pushpa L. Gupta (a1) and R. D. Gupta (a2)

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