Random real number kurtosis

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Random real number kurtosis

Formulation 2

Let $X \in \text{Random}(\mathbb{R})$ be a D3161: Random real number such that

(i)	$p \in (0, \infty)$ is a D5407: Positive real number
(ii)	\begin{equation} \mathbb{E} \|X\|^4 < \infty \end{equation}

The kurtosis of $X$ is the D993: Real number \begin{equation} \text{Kurt} X : = \mathbb{E} [ (X - \mathbb{E} X)^4 ] \end{equation}