Mahmoud Afshari

‎In this thesis‎, ‎we introduce and study a new Pareto-Type distribution,deriving some of its probabilistic and inferential properties‎. ‎we obtain additional and important properties of this distribution and derive simpler expressions of relevant inequality indices and risk measures‎. ‎One important feature of this distribution is that many of these expressions are simple functions of the incomplete beta function‎. ‎Using this result‎, ‎we obtain closed expressions for the moments and for several inequality measures including the Lorenz curve and the Gini index‎, ‎the Pietra index‎, ‎the Donaldson-Weymark-Kakvani index and the generalized entropy measures‎. ‎Basic risk measures are also obtained‎. ‎Finally‎, ‎empirical application with real data are given‎.