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edited Mar 19, 2014 at 6:17

Bjørn Kjos-Hanssen

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Measures of dijointdisjoint unions and complements of a collection of sets

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asked Mar 19, 2014 at 4:09

user48446

Measures of dijoint unions and complements of a collection of sets

Let $\mu$ be a probability measure. Let $\mathcal A$ be a collection of measurable sets and $D(\mathcal A)$ be the minimal $\lambda$-system (Dynkin system) containing $\mathcal A$.

Is $\mu(D)$ for $D\in\mathcal D(\mathcal A)$ determined by $\mu(A)$ for all $A\in \mathcal A$?

pr.probability measure-theory