辽宁工业大学学报:自然科学版
遼寧工業大學學報:自然科學版
료녕공업대학학보:자연과학판
Journal of Liaoning Institute of Technology(Natural Science Edition)
2011年
5期
336-340
,共5页
正态总体%似然比检验%最大似然估计%似然函数%均值检验
正態總體%似然比檢驗%最大似然估計%似然函數%均值檢驗
정태총체%사연비검험%최대사연고계%사연함수%균치검험
normal distribution%likelihood ratio test%maximum likelihood estimation%likelihood function%mean testing
讨论了t个正态总体均值相等方差未知不等,所取的正态总体样本数不等的似然比检验问题。给出了均值和方差的极大似然估计的计算方法,确定了似然比检验的临界值。通过给出的模拟结果,说明了检验方法的有效性。
討論瞭t箇正態總體均值相等方差未知不等,所取的正態總體樣本數不等的似然比檢驗問題。給齣瞭均值和方差的極大似然估計的計算方法,確定瞭似然比檢驗的臨界值。通過給齣的模擬結果,說明瞭檢驗方法的有效性。
토론료t개정태총체균치상등방차미지불등,소취적정태총체양본수불등적사연비검험문제。급출료균치화방차적겁대사연고계적계산방법,학정료사연비검험적림계치。통과급출적모의결과,설명료검험방법적유효성。
For t normal populations with the unknown means and variances and when sample numbers of t normal populations were different,a likelihood ratio test about the unknown equal means and unknown unequal variances was discussed.Hereby the method of the maximum likelihood estimation of means and variances of t normal populations was given,and also the critical value with likelihood ratio test was determined.The result through simulations shows good performance of the method in terms of test validity.
