pexal: Cumulative Distribution Function (CDF) for the exAL...

In exdqlm: Extended Dynamic Quantile Linear Models

Cumulative Distribution Function (CDF) for the exAL Distribution

Description

Vectorized over q.

Usage

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

Arguments

q	Numeric vector of quantiles.
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 CDF values (same length as q).

Examples

pexal(0)
pexal(c(-1, 0, 1), p0 = 0.5, mu = 0, sigma = 1, gamma = 0.1)

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