Ostrovska, SofiyaOstrovska, SMathematics2024-07-052024-07-05200220003-889X10.1007/s00013-002-8296-z2-s2.0-0036025142https://doi.org/10.1007/s00013-002-8296-zhttps://hdl.handle.net/20.500.14411/1123Let xi(1),...,xi(n) be random variables and U be a subset of the Cartesian prodnet Z(+)(n), Z(+) being the set of all non-negative integers. The random variables are said to be strictly U-uncorrelated if E(xi(1)(j1) ... xi(n)(jn)) = E(xi(1)(j1)) ... E(xi(n)(jn)) double left right arrow (j(1), ..., j(n)) is an element of U. It is proved that for an arbitrary subset U subset of or equal to Z(+)(n) containing all points with 0 or I non-zero coordinates there exists a collection of n strictly U-uncorrelated random variables.eninfo:eu-repo/semantics/closedAccess[No Keyword Available]ArticleQ3Q3792141146WOS:000177903300009