正态总体均值与标准差比在半序约束下的最大似然估计(英文)  

Maximum Likelihood Estimation of Ratios of Means and Standard Deviations from Normal Populations under Semi-order Restriction

作　　者：李树有[1] 张保学[2] 

机构地区：[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

出　　处：《生物数学学报》2003年第3期257-261,共5页Journal of Biomathematics

基　　金：the National Natural Science Foundation of China(10201006);Mathematics Tian Yuan Youth Foundation of China(10226024)

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。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.

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 

分 类 号：Q-332[生物学] O212.1[理学—概率论与数理统计]