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.
Share and Cite
ISRP Style
T. H. M. Abouelmagd, Mohammed S. Hamed, Haitham M. Yousof, Poisson Burr X Weibull distribution, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 3, 173--183
AMA Style
Abouelmagd T. H. M., Hamed Mohammed S., Yousof Haitham M., Poisson Burr X Weibull distribution. J. Nonlinear Sci. Appl. (2019); 12(3):173--183
Chicago/Turabian Style
Abouelmagd, T. H. M., Hamed, Mohammed S., Yousof, Haitham M.. "Poisson Burr X Weibull distribution." Journal of Nonlinear Sciences and Applications, 12, no. 3 (2019): 173--183
Keywords
- Truncated Poisson
- moments
- maximum likelihood estimation
- function
- generating function
MSC
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