Volume 15, Number 1 (2016) | JIRSS 2016, 15(1): 92-108 | Back to browse issues page

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Yaghoobzadeh Shahrastani S, Shadrokh A, Yarmohammadi M. The Beta-Weibull Logaritmic Distribution: Some Properties and Applications. JIRSS. 2016; 15 (1) :92-108
URL: http://jirss.irstat.ir/article-1-287-en.html

Pauame Noor University
Abstract:   (1125 Views)
In this paper,  we introduce a new five-parameter distribution with increasing, decreasing, bathtub-shaped failure rate called the Beta-Weibull-Logarithmic (BWL) distribution. Using the Sterling Polynomials, various properties of the new distribution such as its probability density function, its reliability and failure rate functions, quantiles and moments, R$acute{e}$nyi and Shannon entropies, moments of order statistics, Bonferroni and Lorenz curves were derived. then the maximum likelihood estimation of BWL distribution for the parameters of  BWL  distribution are found. Finally the usefulness of this distribution for real data are presented. 

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Type of Study: Original Paper |
Received: 2014/11/18 | Accepted: 2016/07/31 | Published: 2016/07/31

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