PlotNormTest (version 1.0.1)

skewness_kurtosis: Sample skewness and Sample Kurtosis.

Description

Sample skewness and Sample Kurtosis.

Usage

kurtosis(x)
skewness(x)

Value

kurtosis returns sample kurtosis.

skewness returns sample skewness.

Arguments

x

univariate data sample

Details

Sample kurtosis is $$ \hat{\kappa}_4 = \dfrac{1}{n-1} \sum_{i = 1}^n \left(\dfrac{X_i - \bar{X}}{S}\right)^4. $$

Sample skewness is $$ \hat{\kappa}_3 = \dfrac{1}{n-1} \sum_{i = 1}^n \left(\dfrac{X_i - \bar{X}}{S}\right)^3. $$

Examples

set.seed(123)
y <- rnorm(100)
kurtosis(y)
set.seed(123)
x <- rnorm(100)
skewness(x)