This is a preview. Log in through your library . Abstract Several authors [1], [2], ⋯, [6], have derived characterizations of a conditional expectation operator. That is, if T is a transformation ...
Let (Ω, F, P) be a probability space, and let X be a random variable defined on (Ω, F, P). If A is a sub σ-field of F, then E(X ∣ A) is the a.s. unique A measurable function such that, for all A ε A, ...
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