ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F8977 on D5277: Index of variation
F8977
Formulation 0
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}
(ii) \begin{equation} \mathbb{E} X \neq 0 \end{equation}
The index of variation of $X$ is the D993: Real number \begin{equation} \frac{\sqrt{\text{Var} X}}{\mathbb{E} X} \end{equation}