unifed {unifed} | R Documentation |
Family object for the unifed distribution
unifed(link = "logit", ...) quasiunifed(link = "logit", ...) unifed.canonical.link()
link |
a specification for the model link function. This can
be a name/expression, a literal character string, a length-one
character vector or an object of class ‘"link-glm"’ (such as
generated by ‘make.link’) provided it is not specified via one
of the accepted names. The |
... |
Optional |
The link 'canonical' is not part of the standard names accepted by
make.link()
from the stats package. It corresponds to the
canonical link function for the unifed distribution, which is the
inverse of the derivative of its cumulant generator. There is no
explicit formula for it. The function
unifed.kappa.prime.inverse()
implements it using the
Newthon-Raphson method.
unifed
returns a family object for using the unifed
distribution with the glm
function.
The quasiunifed
family differs from the
unifed
only in that the dispersion parameter is not
fixed to one.
An object of class "link-glm"
.
Jørgensen, Bent (1992). The Theory of Exponential Dispersion Models and Analysis of Deviance. Instituto de Matemática Pura e Aplicada, (IMPA), Brazil.
Wedderburn, R. W. M. (1974). Quasi-likelihood functions, generalized linear models, and the Gauss—Newton method. Biometrika. 61 (3): 439–447.
McCullagh, Peter; Nelder, John (1989). Generalized Linear Models (second ed.). London: Chapman and Hall.
Gamma
unifed.kappa.prime.inverse
make.link