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Multilinear forms and measures of dependence between random variables
Authors:Richard C. Bradley  Wlodzimierz Bryc
Affiliation:Indiana University USA;Instytut Matematyki, Politechnika Warszawska, Poland
Abstract:Based on an idea of Rosenblatt, the methods of interpolation theory are used to establish moment inequalities and equivalence relations for measures of dependence between two or more families of random variables. A couple of “interpolation” theorems proved here appear to be new.
Keywords:Measures of dependence   multilinear forms   multilinear operators   moment inequalities   equivalence relation   interpolation
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