| 关于两种贝叶斯模型的一致性比较 |
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| 引用本文： | 濮晓龙,徐靖. 关于两种贝叶斯模型的一致性比较[J]. 华东师范大学学报(自然科学版), 2004, 2004(3): 42-47,114 |
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| 作者姓名： | 濮晓龙 徐靖 |
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| 作者单位： | 华东师范大学,统计系,上海,200062;华东师范大学,统计系,上海,200062 |
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| 摘 要： | 主要讨论两样本情况下两种不同贝叶斯估计方法之间存在的差异.方法一是假定xi（i=1,2）关于θi（i=1,2）条件独立；方法二假定x1、x2无条件独立.在考虑θ1的统计分析时，研究这二种方法的结果有无明显的差别.由实际分析可以得出结论：用两种模型对θ1进行贝叶斯估计差异不大.
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| 关 键 词： | 贝叶斯模型 条件独立 无条件独立 贝叶斯估计 |
| 文章编号： | 1000-5641(2004)03-0042-06 |
| 收稿时间： | 2003-12-16 |
| 修稿时间： | 2004-01-16 |
Comparison of Two Bayesian Models |
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| PU Xiao-long,XU Jing. Comparison of Two Bayesian Models[J]. Journal of East China Normal University(Natural Science), 2004, 2004(3): 42-47,114 |
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| Authors: | PU Xiao-long XU Jing |
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| Affiliation: | Department of Statistics, East China Normal University, Shanghai 200062，China |
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| Abstract: | This article discusses the difference between two Bayesian models. With model 1, it is assumed that xi（i=1,2）is conditional independent under θi（i=1,2）. While with model 2, it is assumed that xi（i=1,2）is unconditional independent. The question is that when working for the Bayesian estimation of θ1, is there any difference on the results under the two different models? The numerical comparison shows that there is only small difference between the results. So the simpler model 2 can replace the model 1, when Bayesian estimation of θ1 is calculated. |
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| Keywords: | Bayesian model conditional independent unconditional independent Bayesian estimation |
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