| Summary: | A two new parameter discrete distribution which generalizes the Poisson distribution is introduced. Some of the properties of the new distribution including the non-central moments, the probability generating function and the hazard rate function are derived. The unknown parameters of the new distribution are estimated using the maximum likelihood approach. Numerical example to show the applicability of the new distribution is based on a real-life data set. Comparison with Poisson distribution shows that the new distribution provided better fit on the real-life dataset. Furthermore, the likelihood ratio test indicates that the generalized parameter of the new distribution indeed, improved the potential of the new distribution in providing adequate fit for the real-life dataset.
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