| 正态均值向量在正象限对负象限条件下的估计 |
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| 引用本文： | 氏家胜己,张伊雄.正态均值向量在正象限对负象限条件下的估计[J].应用概率统计,1997,13(1):19-26. |
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| 作者姓名： | 氏家胜己 张伊雄 |
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| 作者单位： | 东海大学!日本 |
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| 摘 要： | 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．
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| 关 键 词： | 方差未知 最大似然估计 正象限对负象限 β~*分布 |
Test That Normal Mean Vector Lies In the Positive Orthant against the Negative One |
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| KATSUMI UJIIE, YIXIONG ZHANG.Test That Normal Mean Vector Lies In the Positive Orthant against the Negative One[J].Chinese Journal of Applied Probability and Statisties,1997,13(1):19-26. |
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| Authors: | KATSUMI UJIIE YIXIONG ZHANG |
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| Abstract: | 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. |
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| Keywords: | unknown variance likelihood ratio positive orthant against the negative one Beta star distribution |
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