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多元线性回归中度量影响的置信域体积比统计量
THE VOLUME RATIO STATISTIC OF CONFIDENCE ELLIPSOIDS AS A MEASURE OF INFLUENCE IN MULTIVARIATE LINEAR REGRESSION
【摘要】 本文从多元线性回归模型回归系数的椭球置信域出发,导出度量影响的置信域体积比诊断统计量,并给出了它在协方差矩阵未知时的近似表达式。
【Abstract】 In this paper, the volume ratio statistic as a measure of influence is derived from the viewpoint of confidence ellipsoids in multivariate linear regression, and its approximate expression is given when the covariance matrix is unknown.
【关键词】 多元线性回归;
强影响点;
置信椭球;
体积比统计量;
【Key words】 Multivariate Linear Regression; Influential Cases; Confidence Ellipsoids; Volume Ratio Statistic.;
【Key words】 Multivariate Linear Regression; Influential Cases; Confidence Ellipsoids; Volume Ratio Statistic.;
【基金】 国家自然科学基金
- 【文献出处】 高校应用数学学报A辑(中文版) ,Applied Mathematics A Journal of Chinese Universities , 编辑部邮箱 ,1993年02期
- 【被引频次】8
- 【下载频次】48