Calibrating dependence between random elements
classification
🧮 math.PR
math.STstat.TH
keywords
dependenceelementsfunctionsrandomapproximatingattemptsbackcalibrated
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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.
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