distrMod: NBinomFamily – R documentation

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NBinomFamily

Generating function for Nbinomial families

Description

Generates an object of class "L2ParamFamily" which represents a Nbinomial family where the probability of success is the parameter of interest.

Usage

NbinomFamily(size = 1, prob = 0.5, trafo)
NbinomwithSizeFamily(size = 1, prob = 0.5, trafo, withL2derivDistr = TRUE)
NbinomMeanSizeFamily(size = 1, mean = 0.5, trafo, withL2derivDistr = TRUE )

Arguments

`size`	number of trials
`prob`	probability of success
`mean`	alternative parameter for negative binomial parameter
`trafo`	function in `param` or matrix: transformation of the parameter
`withL2derivDistr`	logical: shall the distribution of the L2 derivative be computed? Defaults to `TRUE`; setting it to `FALSE` speeds up computations.

Details

The slots of the corresponding L2 differentiable parameteric family are filled. NbinomFamily assumes size to be known; while for NbinomwithSizeFamily it is a second (unknown) parameter; for NbinomMeanSizeFamily is like NbinomwithSizeFamily but uses the size,mean parametrization instead of the size,prob one.

Value

Object of class "L2ParamFamily"

Author(s)

Peter Ruckdeschel peter.ruckdeschel@uni-oldenburg.de

References

Kohl, M. (2005) Numerical Contributions to the Asymptotic Theory of Robustness. Bayreuth: Dissertation.

Kohl, M. and Ruckdeschel, P. (2010). R Package distrMod: S4 Classes and Methods for Probability Models. To appear in Journal of Statistical Software.

Examples

(N1 <- NbinomFamily(size = 25, prob = 0.25))
plot(N1)
FisherInfo(N1)
checkL2deriv(N1)
(N1.w <- NbinomwithSizeFamily(size = 25, prob = 0.25))
plot(N1.w)
FisherInfo(N1.w)
checkL2deriv(N1.w)
(N2.w <- NbinomMeanSizeFamily(size = 25, mean = 75))
plot(N2.w)
FisherInfo(N2.w)
checkL2deriv(N2.w)

distrMod

Object Oriented Implementation of Probability Models

v2.8.4

LGPL-3

Authors

Matthias Kohl [aut, cph], Peter Ruckdeschel [cre, cph], R Core Team [ctb, cph] (for source file 'format.perc')

Initial release

2020-03-06