qexal: Quantile Function for the exAL Distribution

In exdqlm: Extended Dynamic Quantile Linear Models

Quantile Function for the exAL Distribution

Description

Vectorized over p.

Usage

qexal(
  p,
  p0 = 0.5,
  mu = 0,
  sigma = 1,
  gamma = 0,
  lower.tail = TRUE,
  log.p = FALSE
)

Arguments

p	Numeric vector of probabilities in (0, 1).
p0	Probability level used in the quantile parametrization. Scalar in (0, 1). Default 0.5.
mu	Location parameter (scalar). Default 0.
sigma	Scale parameter (scalar, strictly positive). Default 1.
gamma	Skewness parameter controlling asymmetry (scalar). Must be within valid bounds implied by p0. Default 0.
lower.tail	Logical scalar; if TRUE (default) return P(X \le q), otherwise P(X > q).
log.p	Logical scalar; if TRUE, return log-probabilities.

Value

Numeric vector of quantiles (same length as p).

Examples

p <- seq(0.1, 0.9, by = 0.2)
q <- qexal(p, p0 = 0.5, mu = 0, sigma = 1, gamma = 0)
all.equal(p, pexal(q, p0 = 0.5, mu = 0, sigma = 1, gamma = 0), tol = 1e-4)

exdqlm documentation built on Feb. 8, 2026, 1:06 a.m.