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.
Nassar, M., & Nada, N. (2013). A new generalization of the Pareto–geometric distribution. Journal of the Egyptian Mathematical Society, 21(2), 148-155. doi: 10.1016/j.joems.2013.01.003
MLA
M. Nassar; N. Nada. "A new generalization of the Pareto–geometric distribution", Journal of the Egyptian Mathematical Society, 21, 2, 2013, 148-155. doi: 10.1016/j.joems.2013.01.003
HARVARD
Nassar, M., Nada, N. (2013). 'A new generalization of the Pareto–geometric distribution', Journal of the Egyptian Mathematical Society, 21(2), pp. 148-155. doi: 10.1016/j.joems.2013.01.003
VANCOUVER
Nassar, M., Nada, N. A new generalization of the Pareto–geometric distribution. Journal of the Egyptian Mathematical Society, 2013; 21(2): 148-155. doi: 10.1016/j.joems.2013.01.003