# sampleMoments: Sample Skewness and Kurtosis In HyperbolicDist: The Hyperbolic Distribution

 Sample Moments R Documentation

## Sample Skewness and Kurtosis

### Description

Computes the sample skewness and sample kurtosis.

### Usage

```skewness(x, na.rm = FALSE)
kurtosis(x, na.rm = FALSE)
```

### Arguments

 `x` A numeric vector containing the values whose skewness or kurtosis is to be computed. `na.rm` A logical value indicating whether `NA` values should be stripped before the computation proceeds.

### Details

If N = length(x), then the skewness of x is defined as

N^(-1) sd(x)^(-3) sum_i (x_i - mean(x))^3.

If N = length(x), then the kurtosis of x is defined as

N^(-1) sd(x)^(-4) sum_i (x_i - mean(x))^4 - 3.

### Value

The skewness or kurtosis of `x`.

### Note

These functions and the description of them are taken from the package `e1071`. They are included to avoid having to require an additional package.

### Author(s)

Evgenia Dimitriadou, Kurt Hornik, Friedrich Leisch, David Meyer, and Andreas Weingessel

### Examples

```x <- rnorm(100)
skewness(x)
kurtosis(x)
```

HyperbolicDist documentation built on March 18, 2022, 6:23 p.m.