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JSRI 2018, 15(1): 45-82 Back to browse issues page
A New Weibull Class of Distributions: Theory, Characterizations and Applications
Haitham M. Yousof *1, Mahbubul Majumder2, S. M. A. Jahanshahi3, M. Masoom Ali4, G. G. Hamedani5
1- Benha University , haitham.yousof@fcom.bu.edu.eg
2- University ‎of ‎Nebraska
3- University of Sistan and Baluchestan
4- Ball State University
5- Marquette University
Abstract:   (2884 Views)
We propose a new class of continuous models called the Weibull Generalized G family with two extra positive shape parameters, which extends several well-known models. We obtain some of its mathematical properties including ordinary and incomplete moments, generating function, order statistics, probability weighted moments, entropies, residual, and reversed residual life functions. Characterizations based on a ratio of two truncated moments, in terms of hazard function and based on certain functions of the random variable are presented. We estimate the model parameters by the maximum likelihood method. We assess the performance of the maximum likelihood estimators in terms of biases and mean squared errors by means of two simulation studies. The usefulness of the proposed models is illustrated via three real data sets.
Keywords: Weibull model, characterizations, order statistics, maximum likelihood estimation, quantile function, generating function, moments.
Full-Text [PDF 1910 kb]   (1034 Downloads)    
Type of Study: Research | Subject: General
Received: 2017/06/25 | Accepted: 2018/08/29 | Published: 2019/03/3
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Yousof H M, Majumder M, Jahanshahi S M A, Masoom Ali M, Hamedani G G. A New Weibull Class of Distributions: Theory, Characterizations and Applications. JSRI 2018; 15 (1) :45-82
URL: http://jsri.srtc.ac.ir/article-1-290-en.html

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Volume 15, Issue 1 (9-2018) Back to browse issues page
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