Ostrovska, SofiyaOstrovska, SMathematics2024-07-052024-07-05200410022-247X1096-081310.1016/j.jmaa.2004.05.0052-s2.0-4344608876https://doi.org/10.1016/j.jmaa.2004.05.005https://hdl.handle.net/20.500.14411/1083An uncorrelatedness set of two random variables shows which powers of random variables are uncorrelated. These sets provide a measure of independence: the wider an uncorrelatedness set is, the more independent random variables are. Conditions for a subset of N-2 to be an uncorrelatedness set of bounded random variables are studied. Applications to the theory of copulas are given. (C) 2004 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/openAccessuncorrelatedness setmeasure of independencecopulacompletenessArticleQ2Q22971257266WOS:000223564200017