Skew-normal CDF

Cumulative distribution function of the univariate skew-normal, $$F(q; \xi, \omega, \alpha) = \Phi(z) - 2 T(z, \alpha),$$ where \(z = (q - \xi) / \omega\) and \(T\) is Owen's T function. Owen's T is evaluated by base R numerical quadrature; no extra dependencies are required.

Usage

sn_cdf(q, sn)

Arguments

q

Numeric vector of quantiles.

sn

Skew-normal parameter list from sn_match() with elements xi, omega, alpha.

Value

Numeric vector of CDF values, same length as q.