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.
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.
出处
《应用数学》
CSCD
北大核心
1996年第4期480-484,共5页
Mathematica Applicata
关键词
列联表
贝叶斯估计
狄利克雷分布
先验分布
Contingency tables
Bayesian estimation
Mixtures of Dirichlet distributions