CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST 2011, 27(5) 511-521 DOI:      ISSN: 1001-4268 CN: 31-1256

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The Kumaraswamy Binomial Distribution

Li Xiaohu,Huang Yanyan,Zhao Xueyan

Xiamen University,Lanzhou University of Finance and Economics, Third Middle School of Jiugang

Abstract��

The probability of success in a Binomial
model is often viewed as a continuous random variable when
 needs to be considered. In this note, we study the
mixed Binomial model with the probability of success having the
Kumaraswamy distribution. Stochastic orders and dependence in this
model are discussed; Further, the new models are employed to fit
some real data sets, and the numerical results reveal that KB models
perform better than Beta-Binomial model in some occasions.

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