Extended Poisson-Pareto Type II Distribution: Theoretical and Computational Aspects

Rania Hassan Abd El Khaleq

Abstract


We introduce a new continuous model with strong physical motivations and wide applications upon compounding the diecreate zero truncated Poisson model and a new continuous model called the Burr X Pareto type II distribution. Some of its mathematical and statistical properties are derived as well as four applications to real data sets are provided with detailes to illustrate the wide importance of the new model. We conclude that the new model is better than other nine competitive models via the four applications. Method of maximum likelihood is used to estimate the unknown parameters of the new model. The new model provide adequate Öts as compared to other related models in the four applications.

Keywords


: Burr XII Distribution; Maximum Likelihood; Generating Function; Moments; Zero Truncated Poisson.

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DOI: http://dx.doi.org/10.18187/pjsor.v15i3.2638

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Title

Extended Poisson-Pareto Type II Distribution: Theoretical and Computational Aspects

Keywords

: Burr XII Distribution; Maximum Likelihood; Generating Function; Moments; Zero Truncated Poisson.

Description

We introduce a new continuous model with strong physical motivations and wide applications upon compounding the diecreate zero truncated Poisson model and a new continuous model called the Burr X Pareto type II distribution. Some of its mathematical and statistical properties are derived as well as four applications to real data sets are provided with detailes to illustrate the wide importance of the new model. We conclude that the new model is better than other nine competitive models via the four applications. Method of maximum likelihood is used to estimate the unknown parameters of the new model. The new model provide adequate Öts as compared to other related models in the four applications.

Date

2019-09-13

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 15 No. 3, 2019



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810