ThmDex – An index of mathematical definitions, results, and conjectures.
F8974
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}
Then $X$ is underdispered if and only if \begin{equation} \frac{\text{Var} X}{\mathbb{E} X} < 1 \end{equation}