| 正态总体均值与标准差比在半序约束下的最大似然估计 |
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| 引用本文： | 李树有,张保学.正态总体均值与标准差比在半序约束下的最大似然估计[J].生物数学学报,2003,18(3):257-261. |
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| 作者姓名： | 李树有 张保学 |
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| 作者单位： | 1. 辽宁工学院,数理系,辽宁,锦州,121001
2. 北京理工大学,应用数学系,北京,100081 |
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| 基金项目： | the National Natural Science Foundation of China(10201006)，Mathematics Tian Yuan Youth Foundation of China(10226024) |
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| 摘 要： | 考虑两个正态总体X_i～N(μ_i,σ_i~2) i=1,2,均值μ_i和方差σ_i~2>0是未知参数,它们的比在半序约束μ_1/σ_1≤μ_2/σ_2下的最大似然估计(MLE)问题,给出了计算MLE的方法,对三个正态总体的情况,给出了相关的结果,这些方法在生物遗传和药物检验等方面都有广泛应用。
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| 关 键 词： | 正态总体均值 标准差比 半序约束 最大似然估计 生物遗传 |
Maximum Likelihood Estimation of Ratios of Means and Standard Deviations from Normal Populations under Semi-order Restriction |
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| LI Shu-you ZHANG Baoxue.Maximum Likelihood Estimation of Ratios of Means and Standard Deviations from Normal Populations under Semi-order Restriction[J].Journal of Biomathematics,2003,18(3):257-261. |
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| Authors: | LI Shu-you ZHANG Baoxue |
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| Abstract: | For two normal populations with unknown means ui and variances (ri2 > 0, i = 1 , 2. Assume that there is a semi-order restriction between ratios of means and standard deviations. A procedure of obtaining the maximum likelihood estimators of and under the semi-order restrictions is proposed. For i = 3 case, some connected results are given. These methods are abroad applied in biologic -al inheritance and medicinal test. |
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| Keywords: | Semi-order restriction Maximum likelihood estimator Likelihood funtion |
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