# 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 ``` r 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](https://rdrr.io/r/base/matrix.html) or a [data.frame](https://rdrr.io/r/base/data.frame.html). - na.rm: A [logical](https://rdrr.io/r/base/logical.html) to indicate whether `NA` values should be stripped before the computation proceeds. - excess: A [logical](https://rdrr.io/r/base/logical.html) to indicate whether the *excess kurtosis* should be returned, defined as the kurtosis minus 3. ## See also [`skewness()`](https://amr-for-r.org/reference/skewness.md) ## Examples ``` r kurtosis(rnorm(10000)) #> [1] 3.071712 kurtosis(rnorm(10000), excess = TRUE) #> [1] -0.02774835 ```