正态总体均值与标准差比在序约束下的广义p-值检验  

Testing Ratios of Means to Standard Deviations from Normal Populations under Order Restrictions with Generalized p Values

作　　者：李树有[1] 史宁中[2] 张宝学[2] 

机构地区：[1]辽宁工业大学数理系,锦州121001 [2]东北师范大学数学与统计学院,长春130024

出　　处：《应用概率统计》2009年第1期77-85,共9页Chinese Journal of Applied Probability and Statistics

基　　金：国家自然科学基金(10431010;10571020);辽宁省教育厅基金(20060409)资助.

摘　　要：本文利用广义p-值和U-I检验法研究了多个正态总体均值与标准差比在简单半序和树序约束下的检验问题.提出了广义检验变量,得到了多个正态总体均值与标准差比在简单半序和树序约束下检验问题的广义p-值.同时运用MonteCarlo方法给出了模拟结果.A procedure for testing ratios of means to standard deviations from normal populations under semiorder restriction and tree order restriction is developed. The testing is performed on the basis of the generalized p value approach and U-I test and involves a one-dimensional numerical integration. The problem is always encountered in biology, medication, business investment, telecommunication, and so on. We propose the generalized test variable and obtain the generalized p values of the testing problem. Finally, simulation results are given.

关 键 词：广义P-值 广义检验变量 U—I检验法 正态总体 半序约束. 

分 类 号：O212.1[理学—概率论与数理统计]