A New Inverse Pareto Distribution
Yassmen, Y. Abdelall *
Department of Mathematical Statistics, Faculty of Graduate Studies for Statistical Research, Cairo University, Egypt.
*Author to whom correspondence should be addressed.
Abstract
New distribution of inverse Pareto using kumaraswamy generalized distribution called Kumaraswamy generalized inverse Pareto distribution is introduced in this paper. The proposed model is applicable in the study of variety of fields. Several properties of the proposed distribution, including explicit expressions for the quantile, moments, moment generating function and are studied. The maximum likelihood estimation is used to estimate parameters model and to derive the information matrix of it. Simulation study is carried out to evaluate the estimated parameters. The performance of the new model is examined using real data set comparing with widely known distributions.
Keywords: Kumaraswamy generalized, inverse Pareto distribution, quantile, moment generating function, maximum likelihood