Main Article Content

Abstract

In this paper, a new probability discrete distribution for analyzing over-dispersed count data encountered in biological sciences was proposed. The new discrete distribution, with one parameter, has a log-concave probability mass function and an increasing hazard rate function, for all choices of its parameter. Several properties of the proposed distribution including the mode, moments and index of dispersion, mean residual life, mean past life, order statistics and L- moment statistics have been established. Two actuarial or risk measures were derived. The numerical computations for these measures are conducted for several parametric values of the model parameter. The parameter of the introduced distribution is estimated using eight frequentist estimation methods. Detailed Monte Carlo simulations are conducted to explore the performance of the studied estimators. The performance of the proposed distribution has been examined by three over-dispersed real data sets from biological sciences.

Keywords

Mean residual life COVID-19 data Reliability Maximum likelihood Over-dispersed data Simulation Risk measures

Article Details

How to Cite
Afify, A. Z., Elmorshedy, M., & Eliwa, M. S. (2021). A New Skewed Discrete Model: Properties, Inference, and Applications: A New Skewed Discrete Model. Pakistan Journal of Statistics and Operation Research, 17(4), 799-816. https://doi.org/10.18187/pjsor.v17i4.3781

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