Mixtures of Perfect Probability Measures

D. Ramachandran

doi:10.1214/aop/1176996666

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Home > Journals > Ann. Probab. > Volume 2 > Issue 3 > Article

June, 1974 Mixtures of Perfect Probability Measures

D. Ramachandran

Ann. Probab. 2(3): 495-500 (June, 1974). DOI: 10.1214/aop/1176996666

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Abstract

It is shown that a perfect mixture of perfect probability measures need not be perfect and that a perfect mixture of nonperfect measures can be perfect. Perfect mixtures of discrete measures are shown to be perfect.