Double bounded Kumaraswamy-power series class of distributions

作者：Bidram Hamid^*; Nekoukhou Vahid

来源：Statistics and Operations Research Transactions, 2013, 37(2): 211-229.

• Kumaraswamy distribution
• Maximum likelihood estimation
• Power series distributions
• Uniform-power series distributions

In this paper, we will introduce the new Kumaraswamy-power series class of distributions. This new class is obtained by compounding the Kumaraswamy distribution of Kumaraswanny (1980) and the family of power series distributions. The new class contains some new double bounded distributions such as the Kumaraswamy-geometric, -Poisson, -logarithmic and -binomial, which are used widely in hydrology and related areas. In addition, the corresponding hazard rate function of the new class can be increasing, decreasing, bathtub and upside-down bathtub. Some basic properties of this class of distributions such as the moment generating function, moments and order statistics are studied. Some special members of the class are also investigated in detail. The maximum likelihood method is used for estimating the unknown parameters of the members of the new class. Finally, an application of the proposed class is illustrated using a real data set.

• 出版日期2013-12