R: The Skew-Normal Distribution

SkewNormal {brms} | R Documentation

## The Skew-Normal Distribution

### Description

Density, distribution function, and random generation for the skew-normal distribution with mean `mu`, standard deviation `sigma`, and skewness `alpha`.

### Usage

    dskew_normal(x, mu = 0, sigma = 1, alpha = 0, xi = NULL,
      omega = NULL, log = FALSE)

    pskew_normal(q, mu = 0, sigma = 1, alpha = 0, xi = NULL,
      omega = NULL, lower.tail = TRUE, log.p = FALSE)

    qskew_normal(p, mu = 0, sigma = 1, alpha = 0, xi = NULL,
      omega = NULL, lower.tail = TRUE, log.p = FALSE, tol = 1e-08)

    rskew_normal(n, mu = 0, sigma = 1, alpha = 0, xi = NULL,
      omega = NULL)

### Arguments

`x, q` | Vector of quantiles.
`mu` | Vector of mean values.
`sigma` | Vector of standard deviation values.
`alpha` | Vector of skewness values.
`xi` | Optional vector of location values. If `NULL` (the default), will be computed internally.
`omega` | Optional vector of scale values. If `NULL` (the default), will be computed internally.
`log` | Logical; If `TRUE`, values are returned on the log scale.
`lower.tail` | Logical; If `TRUE` (default), return P(X <= x). Else, return P(X > x) .
`log.p` | Logical; If `TRUE`, values are returned on the log scale.
`p` | Vector of probabilities.
`tol` | Tolerance of the approximation used in the computation of quantiles.
`n` | Number of samples to draw from the distribution.

### Details

See `vignette("brms_families")` for details on the parameterization.

[Package brms version 2.6.0 Index]