dot-compute_tuning_delta: Compute Pseudocount Delta for Link Function Stabilization

In lgspline: Lagrangian Multiplier Smoothing Splines for Smooth Function Estimation

Compute Pseudocount Delta for Link Function Stabilization

Description

Determines the pseudocount \delta used to stabilize link function transformations during penalty tuning. For identity link or when the response is naturally in the domain of the link function, returns 0. Otherwise, finds the \delta that makes the transformed response distribution most closely approximate a t-distribution.

Usage

.compute_tuning_delta(family, unl_y, N_obs, observation_weights, opt)

Arguments

family	GLM family object.
unl_y	Numeric vector; unlisted response values (concatenated across partitions).
N_obs	Integer; total sample size.
observation_weights	List or NULL; observation weights by partition.
opt	Logical; whether optimization is being performed.

Value

Numeric scalar; the pseudocount \delta \geq 0.

lgspline documentation built on May 8, 2026, 5:07 p.m.