On a Probability Bound of Marshall and Olkin

Kumar Jogdeo

doi:10.1214/aos/1176344082

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Home > Journals > Ann. Statist. > Volume 6 > Issue 1 > Article

January, 1978 On a Probability Bound of Marshall and Olkin

Kumar Jogdeo

Ann. Statist. 6(1): 232-234 (January, 1978). DOI: 10.1214/aos/1176344082

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Abstract

A counterexample is given to a proposition of Marshall and Olkin (1974, Ann. Statist.) describing a probability bound. A theorem which gives the conditions under which mixtures of associated random variables remain associated, is stated. This provides a method to obtain the required bound.