异方差且未知情况下两正态总体等均值检验的贝叶斯观点统计量

The Bayesian statistic of two normal parent populations' test of equality of means under the condition of unequal and unknown variance

在两正态总体方差不等且未知的前提下 ,检验它们的均值是否相等 ,用经典方法处理此问题是困难的 .而在贝叶斯学派观点看来此检验与等方差情况下的等均值检验并无本质差异 .本文使用贝叶斯学派方法导出此假设检验的统计量 .

Under the condition of unknown and unequal variance of two normal parent populations, the testing of their equality of means is difficult by classical method. While in Bayesian view this test has no essential difference with the one under equal variance condition. This thesis deduces the statistic of the hypothesis testing by Bayesian method.