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Marshall and Olkin’s Distributions

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Abstract

A review is provided of the continuous and discrete distributions introduced by the eminent Professors Marshall and Olkin. The topics reviewed include: bivariate geometric distribution, extreme value behavior, bivariate negative binomial distribution, bivariate exponential distribution, concomitants, reliability, distributions of sums and ratios, Ryu’s bivariate exponential distribution, bivariate Pareto distribution and generalized exponential and Weibull distributions. Some hitherto unknown results about these distributions are also mentioned.

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Authors and Affiliations

  1. School of Mathematics, University of Manchester, Manchester, M60 1QD, UK

    Saralees Nadarajah

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  1. Saralees Nadarajah
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Correspondence to Saralees Nadarajah.

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This is a tribute to the work of Professors Marshall and Olkin.

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Nadarajah, S. Marshall and Olkin’s Distributions. Acta Appl Math 103, 87–100 (2008). https://doi.org/10.1007/s10440-008-9221-7

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  • DOI: https://doi.org/10.1007/s10440-008-9221-7

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