Study on Relations of Some Correlation Coefficients in Statistics and Their Applications in Portfolio

Product-moment correlation coefficient,rank correlation coefficient,two-column correlation coefficient,point-two-column correlation coefficient and Φ correlation coefficient are the important measurement of the level of linear correlation between two stocks.By proof,product-moment correlation coefficient can be used as correlation coefficient of the two-dimensional random variable,and two-column correlation coefficien can be used as the estimate of correlation coefficient of two-dimensional normal random variable.Rank correlation coefficient and point-two-column correlation coefficient are the deformation of product-moment correlation coefficient under the different data,and Φ correlation coefficient is the deformation of point-two-column correlation coefficient.At last,an example is given to explain how to compute various correlation coefficients.