Staff Members - Benha University
Extended Weibull Log-Logistic Distribution
, Journal of Nonlinear Sciences and Applications (JNSA) • 2019
Publication Information
Authors
Mohamed Sewalim Hamed
Keywords
Truncated Poisson, moments, maximum likelihood estimation, function, generating function.
Journal
, Journal of Nonlinear Sciences and Applications (JNSA)
Publisher
ISR-Publications
Volume
12
Issue
3
Pages
173-183
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
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.
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.