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The Risti$acute{c}$-Balakrishnan-$G$ Family of Distributons: Mathematical Properties and Applications
Ali Shadrokh , Shahram Yaghoobzadeh , Masoud Yarmohammadi
Abstract:   (74 Views)

In this article, with the help of exponentiated-G distribution, we obtain extensions for the Probability density function and Cumulative distribution function, moments and moment generating functions, mean deviation, R$acute{e}$nyi and Shannon entropies and order Statistics of this family of distributions. We use maximum liklihood method of estimate the parameters and with the help of a real data set, we show the Risti$acute{c}$-Balakrishnan-$G$ family of distributions is a proper model for lifetime distribution.

Keywords: Gamma distribution, Ristic-Balakrishnan-G distribution, Exponentiated-G distribution, Maximum liklihood estimation
Full-Text [PDF 6704 kb]   (51 Downloads)    
Type of Study: Research | Subject: Statistical Inference
Received: 2015/05/10 | Accepted: 2017/01/9 | Published: 2018/04/15
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Shadrokh A, yaghoobzadeh S, Yarmohammadi M. The Risti$acute{c}$-Balakrishnan-$G$ Family of Distributons: Mathematical Properties and Applications. J. of Stat. Sci.. 2018; 12 (1)
URL: http://jss.irstat.ir/article-1-377-en.html


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مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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