| 方差未知时两个正态总体均值序条件下的估计量 |
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| 引用本文： | 马海俊.方差未知时两个正态总体均值序条件下的估计量[J].江汉大学学报(自然科学版),2008,36(3):23-25. |
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| 作者姓名： | 马海俊 |
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| 作者单位： | 湖北省襄樊四中,湖北,襄樊,441021 |
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| 摘 要： | 讨论了两个正态总体均值在序条件下的改进估计量,样本均值是期望的极大似然估计量,当期望满足序条件且方差未知时,用方差的极大极小估计量代替方差得到了关于期望的一类估计量,此类估计量改进了样本均值.
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| 关 键 词： | 期望估计 一致改进 平方误差损失 序条件 |
Estimation of Two Order Restricted Normal Population Means with Unknown Variances |
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| MA Hai-jun.Estimation of Two Order Restricted Normal Population Means with Unknown Variances[J].Journal of Jianghan University:Natural Sciences,2008,36(3):23-25. |
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| Authors: | MA Hai-jun |
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| Institution: | MA Hai-jun (Hubei Xiangfan No.4 High School, Xiangfan 441021, Hubei, China) |
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| Abstract: | Discusses the estimation of order-restricted expectation for normal populations.The sample mean is the maximum likelihood estimator of the expectation.When expectation satisfies order condition and variance is unknown,replaces unknown variances with the mini-max estimators of variances and construct a class of estimators of expectations which improves the sample means. |
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| Keywords: | estimation of expectation uniform improvement squared error loss order re-striction |
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