New Link Functions for Distribution–Specific Quantile Regression Based on Vector Generalized Linear and Additive Models

Table 1

Some VGLM/VGAM link functions. The 4th row is implemented in VGAMextra.

Functions	Links	Domain of	Link names
loge()			Logarithmic
cloglog()			Complementary log–log
logit()			Logit
logffMeanlink()	logit( ) − cloglog( )		logffMeanlink
rhobit()			rhobit

This is the VGLM–link for the mean function of the logarithmic distribution.