> [!NOTE] Definition > Let $X$ be a [[Random Variables|real-valued random variable]] on some [[Probability Space|probability space]]. Let $n\in \mathbb{N}^{+}.$ The $n$-th raw moment of $X$ is defined as the [[Expectation of Integrable Real-Valued Random Variable|expectation]] $\mathbb{E}[X^{k}]$ if $X^{k}$ is [[Integrable Real-Valued Random Variable|integrable]].