Poisson Burr X Weibull distribution

Volume 12, Issue 3, pp 173--183 http://dx.doi.org/10.22436/jnsa.012.03.05

Publication Date: December 01, 2018 Submission Date: July 20, 2018 Revision Date: October 01, 2018 Accteptance Date: October 10, 2018

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Authors

T. H. M. Abouelmagd - Management Information System Department, Taibah University, Saudi Arabia. - Department of Statistics, Mathematics and Insurance, Benha University, Egypt. Mohammed S. Hamed - Management Information System Department, Taibah University, Saudi Arabia. - Department of Statistics, Mathematics and Insurance, Benha University, Egypt. Haitham M. Yousof - Department of Statistics, Mathematics and Insurance, Benha University, Egypt.

Abstract

The main goal of this paper is to introduce a continuous distributions based on the zero truncated Poisson which accommodates increasing, bathtub, decreasing, J-shaped, constant and unimodal shapes of monotone failure rates. A comprehensive account of some of its mathematical properties are provided. The new probability density function can be expressed as a linear combination of exponentiated Weibull densities. The method of the maximum likelihood is used to estimate the model parameters. Empirically, we proved the importance and flexibility of the new distribution in modeling two data sets.

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Keywords

• Truncated Poisson
• moments
• maximum likelihood estimation
• function
• generating function

MSC

•  62E05
•  62F10

References

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