Equality conditions in an inequality for affinities of finite measures
A. J. Stam, A. G. M. Steerneman · Communication in Statistics- Theory and Methods · 1988
Let and be measurable space and T:Ω→Y a measurable mapping. If μ1,…μn are finite measures on and their induced measures on then it is known that the affinity of [ILM0005]. Necessary and sufficient conditions for equality are established. In contrast to some statement in the literature it will be shown that sufficient of T is not necessary for equality if n≥3.