Fourth moment
= Fourth moment
{title2=$\mathbb E[X^4]$}
The <fourth moment> is $\mathbb E[X^4]$. Its finiteness is equivalent to square integrability of $X^2$. For centered variables, dividing it by the squared <variance> gives <kurtosis>.
= Fourth moment
{title2=$\mathbb E[X^4]$}
The <fourth moment> is $\mathbb E[X^4]$. Its finiteness is equivalent to square integrability of $X^2$. For centered variables, dividing it by the squared <variance> gives <kurtosis>.