| 混合狄雷克利分布和高维表的贝叶斯估计 |
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| 引用本文： | 陈拥君 张尧庭. 混合狄雷克利分布和高维表的贝叶斯估计[J]. 应用数学, 1996, 9(4): 480-484 |
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| 作者姓名： | 陈拥君 张尧庭 |
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| 作者单位： | 广东商学院，中国人民大学 |
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| 摘 要： | 本文讨论多项分布情况下的高维列联表使用混合狄雷克利分布为先验分布时，贝叶斯估计的表达，以及独立性条件的表述．将文献［４］和［５］的结论推广到高维列联表中．
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| 关 键 词： | 列联表；贝叶斯估计；混合狄雷克利分布 |
Mixtures of Dirichlet Distributions and Bayesian Estimstion in High-Way Contingency Tables |
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| Chen Yongjun. Mixtures of Dirichlet Distributions and Bayesian Estimstion in High-Way Contingency Tables[J]. Mathematica Applicata, 1996, 9(4): 480-484 |
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| Authors: | Chen Yongjun |
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| Abstract: | Statistical analysis of contingency tables is essentially a discrete multivariateproblem. Assuming a multinomial sampling model,and given prior distributions asmixtures of Dirichlet distributions,Bayesian estimates for the cell probabilities areobtained from the posterior distributions for high-way contingency tables,and theBayesian estimations are attractive alternatives to the usual classical estimates. Themain results extends the work of Albert and Gupta(1982) for two-dimensional tables. |
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| Keywords: | Contingency tables Bayesian estimation Mixtures of Dirichlet distributions |
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