LinkFunction

is an option for GeneralizedLinearModelFit that specifies the link function for the generalized linear model.

Details

The link function is an invertible function in the generalized linear model .
Possible settings for LinkFunction include:
Automatic automatically determined

"name" named link function

g invertible function
The default value Automatic uses the canonical link for the ExponentialFamily associated with the model.
The canonical link functions are as follows:

For "QuasiLikelihood" models, "IdentityLink" is used by default.
Other common link functions for binomial data include:
"ProbitLink"

"CauchitLink"

"LogLogLink"

"LogComplementLink"

"ComplementaryLogLogLink"

"OddsPowerLink"
Other common link functions for count data include:
"NegativeBinomialLink"
Other common link functions for positive real‐valued data include:
"PowerLink"
For "OddsPowerLink", "NegativeBinomialLink", and "PowerLink", the additional parameter α can be given by LinkFunction->{linkname,"LinkParameter"->α}. The parameter α can be any real value for "OddsPowerLink" and "PowerLink" and any positive value for "NegativeBinomialLink".
With setting LinkFunction->g, g can be any pure function that is real‐valued and invertible on the response domain for the model.