ThmDex – An index of mathematical definitions, results, and conjectures.
F10526
Formulation 0
Let $P = (\Omega, \mathcal{F}, \mathbb{P})$ be a D1159: Probability space such that
(i) $X : \Omega \to [0, \infty]$ is a D5101: Random unsigned basic number on $P$
Then \begin{equation} X \overset{a.s.}{=} 0 \quad \iff \quad \mathbb{E} X = 0 \end{equation}