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JSRI 2019, 16(1): 1-31 Back to browse issues page
A New Lifetime Distribution: The Beta Modified Weibull Power Series Distribution
Ehsan Bahrami *1, Narges Yarmoghaddam2
1- Shahid Beheshti Universiti , Samani
2- Shahid Beheshti University
Abstract:   (924 Views)

In this paper, we propose a new parametric distribution which called as the Beta Modified Weibull Power Series (BMWPS) distribution. This distribution is obtained by compounding Beta Modified Weibull (BMW) and power series distributions. BMWPS distribution contains, as special sub-models, such as Beta Modified Weibull Poisson (BMWP) distribution, Beta Modified Weibull Geometric (BMWG) distribution, Beta Modified Weibull Logarithmic (BMWL)

distribution, among others. We obtain closed-form expressions for the cumulative distribution, density, survival function, failure rate function, the r-th raw moment and the moments of order statistics. A full likelihood-based approach that allows yielding maximum likelihood estimates of the BMWPS  arameters is used. Finally, application to the Aarset data are given.

Keywords: Lifetime, Beta Modified Weibull distribution, power series distribution, maximum Likelihood estimation, hazard function, Fisher's information matrix
Full-Text [PDF 3561 kb]   (263 Downloads)    
Type of Study: Research | Subject: General
Received: 2019/05/23 | Accepted: 2020/03/12 | Published: 2020/05/23
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Bahrami E, Yarmoghaddam N. A New Lifetime Distribution: The Beta Modified Weibull Power Series Distribution. JSRI. 2019; 16 (1) :1-31
URL: http://jsri.srtc.ac.ir/article-1-323-en.html

Volume 16, Issue 1 (9-2019) Back to browse issues page
مجله‌ی پژوهش‌های آماری ایران (علمی - پژوهشی) Journal of Statistical Research of Iran JSRI
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