Properties of a Multivariate Survival Distribution Generated By a Weibull & Inverse-Gaussian Mixture

Lloyd R. Jaisingh, Dipak K. Dey, William S. Griffith

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


In this paper, we consider the influence of the work environment on a system of non-renewable components. The failure times for the components are Weibull distributed and the work environment has an inverse-Gaussian distribution. A multivariate Weibull & inverse-Gaussian mixture distribution is derived. Several pertinent properties for this multivariate distribution are discussed that shed some light on the nature of the distribution. We account for the operating environment and its changing nature by averaging over a parameter corresponding to the environment. The distribution is applied to find the mean number of components working at some mission time and the reliability for k-out-n components.

Original languageEnglish
Pages (from-to)618-622
Number of pages5
JournalIEEE Transactions on Reliability
Issue number4
StatePublished - Dec 1993

Bibliographical note

Funding Information:
This work was supported by the Kentucky EPSCoR Regional Universities Visiting Scholar Program, 1989. The second author’s work was supported by AOFSR, Grant No. 89-0225. We are pleased to thank the referee (unknown) for providing us with an example to illustrate lemma 3.


  • Environmental factor
  • Test environment
  • Work environment

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Electrical and Electronic Engineering


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