2004Shenyang Gongye Daxue xuebaoRequires access

Modified measures of multivariate association and linear dependence

Cui Guo-sheng

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Abstract

The canoical correlation coefficient of multiple variables vector is defined in this paper,and the general correlation coefficient is introduced.Moreover,it has been completely resolved that the relationships between the number of nit canonical correlation coefficient and the dimensions of linear dependence between two random vectors and the corresponding proof are given.Then that the general correlation coefficient is a generalization of correlation coefficient with one dimension random variable.

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What this paper is about

The canoical correlation coefficient of multiple variables vector is defined in this paper,and the general correlation coefficient is introduced.Moreover,it has been completely resolved that the relationships between the number of nit canonical correlation coefficient and the dimensions of linear dependence between two random vectors and the corresponding proof are given.Then that the general correlation coefficient is a generalization of correlation coefficient with one dimension random variable.

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Available abstract

The canoical correlation coefficient of multiple variables vector is defined in this paper,and the general correlation coefficient is introduced.Moreover,it has been completely resolved that the relationships between the number of nit canonical correlation coefficient and the dimensions of linear dependence between two random vectors and the corresponding proof are given.Then that the general correlation coefficient is a generalization of correlation coefficient with one dimension random variable.

Key concepts: Distance correlation, Correlation coefficient, Fisher transformation, Mathematics, Canonical correlation, Correlation, Statistics, Multivariate random variable

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