Perfect Mixtures of Perfect Measures

D. Ramachandran

doi:10.1214/aop/1176995045

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Home > Journals > Ann. Probab. > Volume 7 > Issue 3 > Article

June, 1979 Perfect Mixtures of Perfect Measures

D. Ramachandran

Ann. Probab. 7(3): 444-452 (June, 1979). DOI: 10.1214/aop/1176995045

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Abstract

It is shown that all the possible cases can arise in the mixture problem with respect to perfectness of probability measures. A characterization of perfectness is obtained through properties of a countably generated sub-$\sigma$-algebra given which there is a regular conditional probability. Perfectness of a perfect mixture of perfect measures is characterized.