ThmDex – An index of mathematical definitions, results, and conjectures.
Result R5302 on D1719: Expectation
Idempotence of complex expectation
Formulation 0
Let $Z \in \text{Random}(\mathbb{C})$ be a D4877: Random complex number such that
(i) \begin{equation} \mathbb{E} |Z| < \infty \end{equation}
Then \begin{equation} \mathbb{E} (\mathbb{E} Z) = \mathbb{E} Z \end{equation}