2020Statistics & Probability LettersOpen access

On relationships between the Pearson and the distance correlation coefficients

Dominic Edelmann, Tamás F. Móri, Gábor J. Székely

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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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What this paper is about

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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OpenAlex reports 348 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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).

Key concepts: Mathematics, Pearson product-moment correlation coefficient, Distance correlation, Fisher transformation, Correlation coefficient, Correlation ratio, Statistics, Correlation

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