On relationships between the Pearson and the distance correlation coefficients
Dominic Edelmann, Tamás F. Móri, Gábor J. Székely
Abstract
Dominic Edelmann, Tamás F. Móri, Gábor J. Székely
Abstract
In this paper we show that for any fixed Pearson correlation coefficient strictly between −1 and 1, the distance correlation coefficient can take any value in the open unit interval (0,1).
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In this paper we show that for any fixed Pearson correlation coefficient strictly between −1 and 1, the distance correlation coefficient can take any value in the open unit interval (0,1).
Key concepts: Mathematics, Pearson product-moment correlation coefficient, Distance correlation, Fisher transformation, Correlation coefficient, Correlation ratio, Statistics, Correlation