distr6 (version 1.3.7)

kurtosis: Distribution Kurtosis

Description

Kurtosis of a distribution

Usage

kurtosis(object, excess = TRUE)

Arguments

object

Distribution.

excess

logical, if TRUE (default) excess Kurtosis returned

Value

Kurtosis as a numeric.

R6 Usage

$kurtosis(excess = TRUE)

Details

The kurtosis of a distribution is defined by the fourth standardised moment of the distribution, $$k_X=E_X[{\frac{x-\mu }{\sigma }}^4]$$ where $E_X$ is the expectation of distribution X, $\mu$ is the mean of the distribution and $\sigma$ is the standard deviation of the distribution. Excess Kurtosis is Kurtosis - 3.

If an analytic expression isn't available, returns error. To impute a numerical expression, use the CoreStatistics decorator.

See Also

CoreStatistics and decorate