The Asymmetric Laplace Distribution

Density, distribution function, quantile function and random generation for the asymmetric Laplace distribution with location mu, scale sigma and asymmetry parameter quantile.

dasym_laplace(x, mu = 0, sigma = 1, quantile = 0.5, log = FALSE)

pasym_laplace(
  q,
  mu = 0,
  sigma = 1,
  quantile = 0.5,
  lower.tail = TRUE,
  log.p = FALSE
)

qasym_laplace(
  p,
  mu = 0,
  sigma = 1,
  quantile = 0.5,
  lower.tail = TRUE,
  log.p = FALSE
)

rasym_laplace(n, mu = 0, sigma = 1, quantile = 0.5)

Arguments

x, q

Vector of quantiles.

mu

Vector of locations.

sigma

Vector of scales.

quantile

Asymmetry parameter corresponding to quantiles in quantile regression (hence the name).

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.

n

Number of draws to sample from the distribution.

Details

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