Objects from the Class
Objects can be created by calls of the form Gammad(scale, shape)
.
This object is a gamma distribution.Slots
img
- Object of class
"Reals"
: The space of the image of this distribution has got dimension 1
and the name "Real Space". param
- Object of class
"GammaParameter"
: the parameter of this distribution (scale and shape), declared at its instantiation r
- Object of class
"function"
: generates random numbers (calls function rgamma) d
- Object of class
"function"
: density function (calls function dgamma) p
- Object of class
"function"
: cumulative function (calls function pgamma) q
- Object of class
"function"
: inverse of the cumulative function (calls function qgamma) .withArith
- logical: used internally to issue warnings as to
interpretation of arithmetics
.withSim
- logical: used internally to issue warnings as to
accuracy
.logExact
- logical: used internally to flag the case where
there are explicit formulae for the log version of density, cdf, and
quantile function
.lowerExact
- logical: used internally to flag the case where
there are explicit formulae for the lower tail version of cdf and quantile
function
Symmetry
- object of class
"DistributionSymmetry"
;
used internally to avoid unnecessary calculations.
Extends
Class "ExpOrGammaOrChisq"
, directly.
Class "AbscontDistribution"
, by class "ExpOrGammaOrChisq"
.
Class "UnivariateDistribution"
, by class "AbscontDistribution"
.
Class "Distribution"
, by class "UnivariateDistribution"
.Methods
- initialize
signature(.Object = "Gammad")
: initialize method - scale
signature(object = "Gammad")
: returns the slot scale
of the parameter of the distribution - scale<-
signature(object = "Gammad")
: modifies the slot scale
of the parameter of the distribution - shape
signature(object = "Gammad")
: returns the slot shape
of the parameter of the distribution - shape<-
signature(object = "Gammad")
: modifies the slot shape
of the parameter of the distribution - +
signature(e1 = "Gammad", e2 = "Gammad")
:
For the Gamma distribution we use its closedness under convolutions. - *
signature(e1 = "Gammad", e2 = "numeric")
:
For the Gamma distribution we use its closedness under positive scaling transformations.