sp_cdf: Symmetric Power (SP) link CDF

In clmstan: Cumulative Link Models with 'CmdStanR'

Symmetric Power (SP) link CDF

Description

The SP link applies a power transformation to a base CDF:

Usage

sp_cdf(x, r, base, df = 8)

Arguments

x	Numeric vector
r	Power parameter (r > 0)
base	Base distribution name
df	Degrees of freedom (for tlink base)

Details

For r <= 1: F_sp(x) = F_0(x/r)^r For r > 1: F_sp(x) = 1 - F_0(-r*x)^(1/r)

Special case: r = 1 gives the base distribution F_0.

Reference: Li et al. (2019) Environmetrics

Value

CDF values

clmstan documentation built on June 29, 2026, 5:06 p.m.