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：1
页码：53
DOI：10.5539/ijsp.v1n1p53
出版社：Canadian Center of Science and Education
摘要：The gamma distribution has been widely used in many research areas such as engineering, hydrology and survival analysis. We propose a new distribution, called the McDonald gamma distribution, which presents greater flexibility to model scenarios involving non-negative data. The new density function is re\-pre\-sen\-ted as a double linear combination of gamma densities. We also propose analytical expressions for some mathematical quantities: moments, moment ge\-ne\-ra\-ting function, log-moment, mean deviations, {Lorentz} and Bonferroni curves, order statistics, entropy and quantile function. The score function and the observed information matrix of this new distribution are derived. A real data set is used to illustrate the importance of the proposed model.
