# Category:Central Moments

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This category contains results about **Central Moments**.

Definitions specific to this category can be found in Definitions/Central Moments.

Let $X$ be a random variable on some probability space with mean $\mu$.

Then the **$n$th central moment of $X$**, usually denoted $\mu_n$, is defined as:

- $\mu_n = \expect {\paren {X - \mu}^n}$

where $\expect X$ denotes the expectation of $X$.

That is, the $n$th central moment of $X$ is its $n$th moment about $\mu$.

The second central moment of $X$ is the variance of $X$, and is instead usually denoted $\sigma^2$.

## Pages in category "Central Moments"

This category contains only the following page.