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DISCRETIZED POISSON-EXPONENTIATED WEIBULL DISTRIBUTION AND ITS APPLICATIONS
Keywords:
discretization, discretized Poisson-exponentiated Weibull distribution, Farlie-Gumbel-Morgenstern copula, hazard rate function, maximum likelihood method of estimation.DOI:
https://doi.org/10.17654/0972361725020Abstract
In this article, a discretized form of Poisson-exponentiated Weibull distribution namely, discrete Poisson exponentiated Weibull (DPEW) distribution is introduced and studied. The model parameters are estimated using the method of maximum likelihood and its accuracy is established through simulated data. The adequacy of the new distribution in modelling count datasets, in comparison to alternative distributions, is demonstrated with different real datasets of asymmetric nature. A bivariate form of discrete Poisson-exponentiated Weibull distribution is also developed by considering Farlie-Gumbel-Morgenstern copula.
Received: August 25, 2024
Revised: October 25, 2024
Accepted: December 13, 2024
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