TEACHING BAYESIAN STATISTICS USING SAMPLING METHODS AND MINITAB

被引:13
作者
ALBERT, JH
机构
关键词
EXPLORATORY DATA ANALYSIS; WEIGHTED BOOTSTRAP;
D O I
10.2307/2684973
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Bayesian statistics can be hard to teach at an elementary level due to the difficulty in deriving the posterior distribution for interesting nonconjugate problems. One attractive method of summarizing the posterior distribution is to directly simulate from the probability distribution of interest and then explore the simulated sample. We illustrate the use of Rubin's Sampling-Importance-Resampling (SIR) algorithm to simulate posterior distributions for three inference problems. In each example, we focus on the construction of the prior distribution and then use exploratory data analysis techniques to describe the posterior samples and make inferences. The use of MINITAB macros is presented to illustrate the ease of performing this simulation on standard statistical computer programs.
引用
收藏
页码:182 / 191
页数:10
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