| 散度偏大计数数据分布的贝叶斯估计 |
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| 引用本文： | 陈雪东.散度偏大计数数据分布的贝叶斯估计[J].应用概率统计,2007,23(4):361-368. |
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| 作者姓名： | 陈雪东 |
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| 作者单位： | 云南大学数学统计学院,昆明,650091;湖州师范学院理学院,湖州,313000 |
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| 基金项目： | 国家自然科学基金;云南省自然科学基金;浙江省自然科学基金 |
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| 摘 要： | 本文针对索赔次数数据的特点, 讨论了两类可导致散度偏大特征数据的分布类型: 零点膨胀分布与膨胀参数分布, 并根据Bayes理论与MCMC方法, 利用WinBUGS对其进行建模和抽样\bd 经过比较,给出了实现分布拟合的途径, 最后通过两个数值例子加以展示.
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| 关 键 词： | 散度偏大 零点膨胀分布 膨胀参数分布 MCMC方法. |
| 收稿时间： | 2005-05-23 |
| 修稿时间： | 2006-01-12 |
Bayesian Estimates of Distribution for Count Data with Overdispersion |
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| CHEN XUEDONG.Bayesian Estimates of Distribution for Count Data with Overdispersion[J].Chinese Journal of Applied Probability and Statisties,2007,23(4):361-368. |
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| Authors: | CHEN XUEDONG |
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| Institution: | School of Mathematics and Statistics, Yunnan University, Faculty of Science, Huzhou Teachers' College |
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| Abstract: | This paper deals with two classes distribution of count data with overdispersion:Zero-inflated Distribution and Inflated-parameter Distribution, which are accordance with data of claims. We consider several model formulations of those distributions by using Bayesian theory and MCMC methods in WinBUGS. By comparison, a approach of modelling data is obtained and two illustrations with real data are provided. |
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