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多维正态总体零均值的假设检验
引用本文:李荣华,徐九韵. 多维正态总体零均值的假设检验[J]. 中国石油大学学报(自然科学版), 2001, 25(6)
作者姓名:李荣华  徐九韵
作者单位:1. 石油大学应用数学系,
2. 石油大学计算机与通信工程学院,
摘    要:讨论了在协方差已知或未知情况下多维正态总体零均值假设检验的问题。首先利用降维法 ,将多维正态总体转化为一维正态总体 ,然后利用T 统计量或U 统计量来判断拒绝或接受原假设。

关 键 词:多维正态总体  假设检验  原假设

TESTING OF MULTI-DIMENSIONAL NORMAL POPULATION WITH MEAN ZERO
Li Rong|hua,et al.. TESTING OF MULTI-DIMENSIONAL NORMAL POPULATION WITH MEAN ZERO[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 2001, 25(6)
Authors:Li Rong|hua  et al.
Abstract:This paper discusses the hypothesis test of multi|dimensional normal population with mean zero under the case whether the covariance matrix is known or not. First, the decreasing|dimension method is used to turn multi|dimensional normal population into one|dimensional normal population. Then either rejection of original hypothesis or acceptance of hypothesis is judged according to %T%|statistic and %U%|statistic.
Keywords:multi|dimensional normal population  hypothesis testing  original hypothesis  
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