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| Kumaraswamy Binomial分布 | |
| 引用本文： | 李效虎,黄彦彦,赵雪艳.Kumaraswamy Binomial分布[J].应用概率统计,2011,27(5). |
| 作者姓名： | 李效虎 黄彦彦 赵雪艳 |
| 作者单位： | 1. 厦门大学数学科学学院,厦门,361005 2. 兰州商学院统计学院,兰州,730020 3. 嘉峪关市酒钢三中,嘉峪关,735100 |
| 基金项目： | Supported by National Natural Science Foundation of China(11171278) |
| 摘 要： | 在Binomial模型中考虑over-dispersion时,每一个独立事件成功的概率通常被视为一个连续随机变量.在本文中,我们提出了成功概率服从Kumaraswamy分布的混合Binomial模型.讨论了这个模型的随机序和相依性；并用数据来拟合这些模型,数值计算结果表明在拟合某些数据时KB模型比BB模型拟合效果更好. |
| 关 键 词： | Beta-Binomial分布 似然比相依 随机序 |
The Kumaraswamy Binomial Distribution |
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| LI XIAOHU,HUANG YANYAN,ZHAO XUEYAN.The Kumaraswamy Binomial Distribution[J].Chinese Journal of Applied Probability and Statisties,2011,27(5). | |
| Authors: | LI XIAOHU HUANG YANYAN ZHAO XUEYAN |
| Institution: | LI XIAOHU (School of Mathematical Sciences,Xiamen University,Xiamen,361005) Huang Yanyan (School of Statistics,Lanzhou University of Finance and Economics,Lanzhou,730020) Zhao Xueyan (Third Middle School of Jiugang,Jiayuguan,735100) |
| 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. |
| Keywords: | Beta-Binomial distribution likelihood ratio dependent stochastic orders |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |