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 2.17.0 Index]