For Any Frequency Distribution The Kurtosis Is. Three different types of curves courtesy of Investopedia are shown as follows. The kurtosis can be positive without limit but κ must be greater than or equal to γ2 1.
Hair et al 2017 p. Kurtosis is primarily a measure of the heaviness of the tails of a distribution. It is used to determine whether a distribution contains extreme values.
The kurtosis for a standard normal distribution is three.
For unbounded skew distributions not too far from normal κ tends to be somewhere in the area of γ2 and 2γ2. There are two different common definitions for kurtosis. The kurtosis can be positive without limit but κ must be greater than or equal to γ2 1. The kurtosis for a standard normal distribution is three.
