The Weibull-G Poisson Family for Analyzing Lifetime Data | [Pakistan Journal of Statistics and Operation Research • 2020]

Author(s):

1. Haitham M. Yousof: Department of Statistics, Mathematics and Insurance, Benha University, Egypt

2. Muhammad Mansoor: Department of Statistics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan

3. Morad Alizadeh: Department of Statistics, Persian Gulf University, Bushehr, Iran

4. Ahmed Z. Afify: Department of Statistics, Mathematics and Insurance, Benha University, Egypt

5. Indranil Ghosh: Department of Mathematics and Statistics, University of North Carolina Wilmington, USA

Abstract:

We study a new family of distributions defined by the minimum of the Poisson random number of independent identically distributed random variables having a general Weibull-G distribution (see Bourguignon et al. (2014)). Some mathematical properties of the new family including ordinary and incomplete moments, quantile and generating functions, mean deviations, order statistics, reliability and entropies are derived. Maximum likelihood estimation of the model parameters is investigated. Three special models of the new family are discussed. We perform three applications to real data sets to show the potentiality of the proposed family.

Page(s): 131-148

DOI: 10.18187/pjsor.v16i1.2840

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 16, Issue: 1, Year: 2020

Keywords:

Generating Function , entropy , Order Statistic , Maximum Likelihood , WeibullG family

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