A new generalization of the Pareto–geometric distribution | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 21, Issue 2, August 2013, Page 148-155 PDF (665.18 K) | ||||
Document Type: Original Article | ||||
DOI: 10.1016/j.joems.2013.01.003 | ||||
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Authors | ||||
M. Nassar* 1; N. Nada2 | ||||
1Department of Mathematics, Faculty of Science, Ain Shams University, Abbassia, Cairo 11566, Egypt | ||||
2Operations LOB, E-Finance, Egypt | ||||
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 | ||||
Beta distribution; Entropy; Information matrix; Maximum likelihood estimation; Pareto geometric distribution | ||||
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