Asian Journal of Mathematics & Statistics1994-54182077-2068Asian Network for Scientific Information10.3923/ajms.2020.1.6NawazShahbazTahirM.H.JavaidAnam12020131In this study new extension of power function distribution are proposed viz., beta-power function distribution. The properties of this newly proposed distributions are derived. Common statistical properties such as Rth moment, mean deviation from mean and from median, moment generating function and characteristic function are obtained. The objective of the study was to find out the different characteristics and properties of the beta power function. From reliability point of view, the survival function, hazard function (failure rate), reverse hazard rate, cumulative hazard rate, mean residual life and mean waiting time are derived. The explicit expressions for popular income inequality indices such as Gini, Lorenz, Bonferroni have been computed.]]>Proctor, J.W.,1987Meniconi, M. and D.M. Barry,1996Ahsanullah, M., M. Shakil and B.M.G. Golam Kibria,2013Eugene, N., C. Lee and F. Famoye,2002Lorenz, M.O.,1905Bonferroni, C.,1930Zenga, M.,1984