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, Racute{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.
Shadrokh A, yaghoobzadeh S, Yarmohammadi M. The Ristic-Balakrishnan-G Family of Distributions: Mathematical Properties and Applications. JSS 2018; 12 (1) :165-188 URL: http://jss.irstat.ir/article-1-377-en.html