A Family of Waiting time Distributions Arising from a Bivariate Bernoulli Scheme

H. M. Barakat ()
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H. M. Barakat: Faculty of Science, Zagazig University

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 1, 213-224

Abstract: Abstract A new univariate five-parameter generalized negative binomial distribution based on the bivariate Bernoulli scheme is introduced. This distribution produces a new three-parameter generalized geometric distribution in a natural manner using probabilistic properties of the four-outcome model. Some basic statistical properties of the new distribution are studied. In addition, estimation of the unknown parameters is illustrated. Moreover, a new univariate three-parameter generalized exponential distribution is derived as a limit of the proposed three-parameter generalized geometric distribution. Finally, a generalization of the proposed distributions based on trivariate Bernoulli scheme is introduced.

Keywords: Bernoulli scheme; bivariate binomial distribution; exponential distribution; geometric distribution; lifetime distributions (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13226-019-0319-6

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