TY - JOUR JF - JSS JO - JSS VL - 12 IS - 1 PY - 2018 Y1 - 2018/9/01 TI - The Ristic-Balakrishnan-G Family of Distributions: Mathematical Properties and Applications TT - خانواده توزیع‌های ریستیک-بالاکریشنان-G: خواص ریاضی و کاربرد آن‌ها N2 - 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. SP - 165 EP - 188 AU - Shadrokh, Ali AU - yaghoobzadeh, shahram AU - Yarmohammadi, Masoud AD - Department of Statistics, Payame Noor University, Tehran, Iran. KW - Gamma Distribution KW - Ristic-Balakrishnan-G Distribution KW - Exponentiated-G Distribution KW - Maximum Liklihood Estimation. UR - http://jss.irstat.ir/article-1-377-en.html DO - 10.29252/jss.12.1.165 ER -