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 draws to sample from the distribution.

### Details

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

[Package brms version 2.16.3 Index]