ThmDex – An index of mathematical definitions, results, and conjectures.
F12308
Formulation 3
Let $X \in \text{Random}(\mathbb{R})$ be a D3161: Random real number such that
(i) \begin{equation} \mathbb{E} |X|^2 < \infty \end{equation}
The standard deviation of $X$ is the D4767: Unsigned real number \begin{equation} \text{Std} X : = \sqrt{ \mathbb{E}|X - \mathbb{E} X|^2 } \end{equation}