A new generalization of the Pareto–geometric distribution

Document Type : Original Article

Authors

1 Department of Mathematics, Faculty of Science, Ain Shams University, Abbassia, Cairo 11566, Egypt

2 Operations LOB, E-Finance, Egypt

http://dx.doi.org/10.1016/j.joems.2013.01.003

Abstract

In this paper we introduce a new distribution called the beta Pareto–geometric. We provide
a comprehensive treatment of the mathematical properties of the proposed distribution and
derive expressions for its moment generating function and the rth generalized moment. We discuss
estimation of the parameters by maximum likelihood and obtain the information matrix that is easily
numerically determined. We also demonstrate its usefulness on a real data set.

Keywords