Properties of an inverse Gaussian mixture of bivariate exponential distribution and its generalization

Dhaifalla K. Al-Mutairi

Statistics & Probability Letters, 1997, vol. 33, issue 4, 359-365

Abstract: A parametric family of bivariate distributions for describing the lifelengths of a system of two dependent components operating under a common environment, when component conditional lifetime distribution follows Marshall and Olkin's bivariate exponential, and the environment follows an inverse Gaussian distribution, is derived. Further generalization of this family of bivariate joint distributions is presented. Marshall and Olkin's bivariate exponential and the Whitmore and Lee's bivariate distribution are shown to be members of this family. Several properties of the joint distributions and their application in reliability analysis are also investigated.

Keywords: Bivariate; exponential; distributions; Dependent; failures; Inverse; Gaussian; distribution; Mixtures; of; distributions; Reliability (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (1)

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