Hostname: page-component-745bb68f8f-s22k5 Total loading time: 0 Render date: 2025-01-26T22:23:32.475Z Has data issue: false hasContentIssue false
  • English
  • Français

A bivariate random environmental stress model

Published online by Cambridge University Press:  01 July 2016

Pushpa L. Gupta  and
R. D. Gupta
Pushpa L. Gupta*
Affiliation:
University of Maine
R. D. Gupta*
Affiliation:
University of New Brunswick
*
∗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.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 22 , Issue 2 , June 1990 , pp. 501 - 503
Copyright
Copyright © Applied Probability Trust 1990 

Footnotes

Partially supported by NSERC Research Grant #A-4850.

References

Bandyopadhyay, D. and Basu, A. P. (1990) On generalization of a model by Lindley and Singpurwalla. Adv. Appl. Prob. 22, 498–500.CrossRefGoogle Scholar
Barlow, R. E. and Proschan, F. (1975) Statistical Theory of Reliability and Life Testing: Probability Models, Holt, Rinehard and Winston, New York.Google Scholar
Gupta, P. L. and Gupta, R. D. (1987) Relative error in systems reliability. Proc. 47th Session Internat. Statist. Inst., Tokyo, Japan.Google Scholar
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, 418–431.Google Scholar
Marshall, A. W. and Olkin, I. (1967) A multivariate exponential distribution. J. Amer. Statist. Assoc. 62, 30–40.CrossRefGoogle Scholar
Tsiatis, A. (1975) A non-identifiability aspect of the problem of competing risks. Proc. Nat. Acad. Sci. 72, 20–22.CrossRefGoogle Scholar