skewness_kurtosis: Sample skewness and Sample Kurtosis.

In PlotNormTest: Graphical Univariate/Multivariate Assessments for Normality Assumption

Sample skewness and Sample Kurtosis.

Description

Sample skewness and Sample Kurtosis.

Usage

kurtosis(x)

skewness(x)

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.

Value

kurtosis returns sample kurtosis.

skewness returns sample skewness.

Examples

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

PlotNormTest documentation built on April 12, 2025, 9:14 a.m.