期刊名称：International Journal of Statistics and Probability
印刷版ISSN：1927-7032
电子版ISSN：1927-7040
出版年度：2012
卷号：1
期号：2
页码：8
DOI：10.5539/ijsp.v1n2p8
出版社：Canadian Center of Science and Education
摘要：A general class of univariate distributions generated by beta random variables, proposed by Eugene et al. (2002) and Jones (2009), has been discussed for many authors. In this paper, the beta exponentiated Pareto distribution is introduced and studied. Its density and failure rate functions can have different shapes. It contains as special models several important distributions discussed in the literature, such as the beta-Pareto and exponentiated Pareto distributions. We provide a comprehensive mathematical treatment of the distribution and derive expressions for the moments, generating and quantile functions and incomplete and L-moments. An explicit expression for R\'enyi entropy is obtained. The method of maximum likelihood is used for estimating the model parameters and the observed information matrix is derived. The flexibility of the new model is illustrated with an application to a real data set.
