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

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  • Al-Mutairi, Dhaifalla K.

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.

Suggested Citation

  • Al-Mutairi, Dhaifalla K., 1997. "Properties of an inverse Gaussian mixture of bivariate exponential distribution and its generalization," Statistics & Probability Letters, Elsevier, vol. 33(4), pages 359-365, May.
    • Handle: RePEc:eee:stapro:v:33:y:1997:i:4:p:359-365
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    Cited by:

    1. Frangos, Nikolaos & Karlis, Dimitris, 2004. "Modelling losses using an exponential-inverse Gaussian distribution," Insurance: Mathematics and Economics, Elsevier, vol. 35(1), pages 53-67, August.

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