Calibrating dependence between random elements

Calibrating dependence between random elements

Attempts to quantify dependence between random elements X and Y via maximal correlation go back to Gebelein (1941) and R\'{e}nyi (1959). After summarizing properties (including some new) of the R\'{e}nyi measure of dependence, a calibrated scale of dependence is introduced. It is based on...

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Bibliographische Detailangaben
Hauptverfasser: Kagan, Abram M, Székely, Gabor J
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Probability
Mathematics - Statistics Theory
Statistics - Theory
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Zusammenfassung:Attempts to quantify dependence between random elements X and Y via maximal correlation go back to Gebelein (1941) and R\'{e}nyi (1959). After summarizing properties (including some new) of the R\'{e}nyi measure of dependence, a calibrated scale of dependence is introduced. It is based on the ``complexity`` of approximating functions of X by functions of Y.
DOI:10.48550/arxiv.1903.04663