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A Discrete Analogue of the Continuous Marshall-Olkin Weibull Distribution with Application to Count Data

Festus C. Opone, Elvis A. Izekor, Innocent U. Akata, Francis E. U. Osagiede
Earthline Journal of Mathematical Sciences pp 415-428; doi:10.34198/ejms.5221.415428

Abstract: In this paper, we introduced the discrete analogue of the continuous Marshall-Olkin Weibull distribution using the discrete concentration approach. Some mathematical properties of the proposed discrete distribution such as the probability mass function, cumulative distribution function, survival function, hazard rate function, second rate of failure, probability generating function, quantile function and moments are derived. The method of maximum likelihood estimation is employed to estimate the unknown parameters of the proposed distribution. The applicability of the proposed discrete distribution was examined using an over-dispersed and under-dispersed data sets.
Keywords: survival / Function / Weibull distribution / discrete distribution / Proposed Discrete / Marshall Olkin / Discrete Analogue / continuous Marshall / Olkin Weibull

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