应用概率统计
應用概率統計
응용개솔통계
CHINESE JOURNAL OF APPLIED PROBABILITY AND STATISTICS
2011年
5期
511-521
,共11页
Beta-Binomial分布%似然比相依%随机序
Beta-Binomial分佈%似然比相依%隨機序
Beta-Binomial분포%사연비상의%수궤서
Beta-Binomial distribution%likelihood ratio dependent%stochastic orders
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.
在Binomial模型中攷慮over-dispersion時,每一箇獨立事件成功的概率通常被視為一箇連續隨機變量.在本文中,我們提齣瞭成功概率服從Kumaraswamy分佈的混閤Binomial模型.討論瞭這箇模型的隨機序和相依性;併用數據來擬閤這些模型,數值計算結果錶明在擬閤某些數據時KB模型比BB模型擬閤效果更好.
재Binomial모형중고필over-dispersion시,매일개독립사건성공적개솔통상피시위일개련속수궤변량.재본문중,아문제출료성공개솔복종Kumaraswamy분포적혼합Binomial모형.토론료저개모형적수궤서화상의성;병용수거래의합저사모형,수치계산결과표명재의합모사수거시KB모형비BB모형의합효과경호.
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 Kumaraswany 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.