正态均值向量在正象限对负象限条件下的估计(英文)

Test That Normal Mean Vector Lies In the Positive Orthant against the Negative One

样本来自于n维独立正态分0布，在方差未知情况下，偏侧均值的最大似然估计在特定约束条件下是可能的，此估计由新的分布所决定，新分布为β*分布．

In the case of the independent random samples from n normal populations with a commonbut unknown variance, the likelihood ratio (LR) test that normal mean vector lies in the positiveorthant against the negative one is possible under mild conditions, and a new distribution, namedBeta Star distribution, which is found and used to determme the distribution of the LR Statistic.