On minimum divergence adaptation of discrete bivariate distributions to given marginals

This correspondence considers the class P of discrete bivariate distributions p with marginals a(p), b(p) and the subclass Pa,b /spl sub/ P of distributions with given marginals a and b. For an arbitrary q /spl isin/ P we study the distributions p/spl tilde/ /spl isin/ P/sub a,b/ minimizing on P/sub a,b/ various /spl phi/-divergences D/sub /spl phi//(p, q) for convex /spl phi/ with finite /spl phi/(0).