# Pearson's moment coefficient of kurtosis (excess kurtosis)

## Description

In probability theory and statistics, kurtosis is any measure of the “tailedness” of the probability distribution of a real-valued random variable. Kurtosis is a descriptor of the shape of a probability distribution. Excess kurtosis is equal to the fourth moment around the mean divided by the square of the variance of the probability distribution minus 3.

Related formulas## Variables

γ_{2} | Excess kurtosis (dimensionless) |

μ_{4} | The fourth moment around the mean (dimensionless) |

σ | The standard deviation (dimensionless) |