两个正态总体均值与方差同时检验问题的研究  

The Researches on Coinstantaneous Testing the Hypothesis about Means and Variances on Two Normal Population

作　　者：武文华[1] 曲中宪[1] 

机构地区：[1]东北电力学院数理科学系,吉林吉林132012

出　　处：《东北电力学院学报》2004年第4期49-51,共3页Journal of Northeast China Institute of Electric Power Engineering

摘　　要：假设Xij(j=1,…,n;i=1,2)是取自相互独立的正态总体N(μi,δi2)(i=1,2)的简单随机样本。令:H0:μ1=μ2,δ12=δ22;H1:μ1≤μ2,δ12≥δ22。在几个定理的基础上,讨论两个正态总体的均值与方差同时假设检验问题:H0vsH1-H0。重点放在大样本的假设检验上,最后给出此问题的检验函数,从而解决了该检验问题。Suppose xij(j =1,…, n ; i = 1 ,2) are simple samples and be from complete independent normal population N(μi,δi2) ( i =1, 2) , suppose H0:μ1=μ2,δ12 = δ22;H1:μ1≤μ2,δ12≥δ22 base on a few theorems, we discuss testing the hypothesis about means and variances on two normal population: H0 vs H1 -H0, and the important point is the large samples in the paper. The testing function is given and the test problem is finished in the end.

关 键 词：正态总体 均值 检验函数 简单随机样本 相互独立 方差 假设检验 问题 基础 

分 类 号：TM341[电气工程—电机] O212[理学—概率论与数理统计]