Create a Link for Families

Description

This function is used with the family functions in gamlss2(). Given the name of a link, it returns a link function, an inverse link function, the derivative \(d\mu/d\eta\), and a function for domain checking. Note that make.link2() is slightly more flexible and also allows functions as arguments.

Usage

make.link2(link)

Arguments

link	A character string, see function make.link, or function.

Value

A list containing the following components:

linkfun	Link function function(mu).
linkinv	Inverse link function function(eta).
mu.eta	Derivative function(eta): \(d\mu/d\eta\).
valideta	Function function(eta) that returns TRUE if eta is in the domain of linkinv.
name	A character string representing the name of the link function.

See Also

make.link, gamlss2, gamlss2.family.

Examples

library("gamlss2")

## character specification
utils::str(make.link2("logit"))

List of 6
 $ linkfun :function (mu)  
 $ linkinv :function (eta)  
 $ mu.eta  :function (eta)  
 $ valideta:function (eta)  
 $ name    : chr "logit"
 $ mu.eta2 :function (eta)  
 - attr(*, "class")= chr "link-glm"

## functions
utils::str(make.link2(softplus))

List of 6
 $ linkfun :function (mu)  
 $ linkinv :function (eta)  
 $ mu.eta  :function (eta)  
 $ dmu.eta :function (eta)  
 $ valideta:function (eta)  
 $ name    : chr "softplus(1)"
 - attr(*, "class")= chr "link-glm"