A geometric view on Pearson’s correlation coefficient and a generalization of it to non-linear dependencies

Measuring strength or degree of statistical dependence between two random variables is a common problem in many domains. Pearson’s correlation coefficient ρ is an accurate measure of linear dependence. We show that ρ is a normalized, Euclidean type distance between joint probability distribution of...

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Bibliographic Details
Main Author: Priyantha Wijayatunga
Format: Article
Language:English
Published: Accademia Piceno Aprutina dei Velati 2016-06-01
Series:Ratio Mathematica
Subjects:
Online Access:http://eiris.it/ojs/index.php/ratiomathematica/article/view/5