AMR/reference/kurtosis.md

Kurtosis of the Sample

Kurtosis is a measure of the "tailedness" of the probability distribution of a real-valued random variable. A normal distribution has a kurtosis of 3 and a excess kurtosis of 0.

Usage

kurtosis(x, na.rm = FALSE, excess = FALSE)

# Default S3 method
kurtosis(x, na.rm = FALSE, excess = FALSE)

# S3 method for class 'matrix'
kurtosis(x, na.rm = FALSE, excess = FALSE)

# S3 method for class 'data.frame'
kurtosis(x, na.rm = FALSE, excess = FALSE)

Arguments

• x:

  A vector of values, a matrix or a data.frame.

• na.rm:

  A logical to indicate whether NA values should be stripped before the computation proceeds.

• excess:

  A logical to indicate whether the excess kurtosis should be returned, defined as the kurtosis minus 3.

See also

skewness()

Examples

kurtosis(rnorm(10000))
#> [1] 3.071712
kurtosis(rnorm(10000), excess = TRUE)
#> [1] -0.02774835