LogisticLocationScaleFamily: Generating function for Logistic location and scale families

In distrMod: Object Oriented Implementation of Probability Models

Generating function for Logistic location and scale families

Description

Generates an object of class "L2LocationScaleFamily" which represents a normal location and scale family.

Usage

LogisticLocationScaleFamily(location = 0, scale = 1, trafo)
LOGISTINT2

Arguments

location	location
scale	scale
trafo	function in param or matrix: transformation of the parameter

Details

The slots of the corresponding L2 differentiable parameteric family are filled. LOGISTINT2 is a constant used for the scale part of the Fisher information. More precisely LOGISTINT2 equals to integral_{-Inf}^{Inf} (tanh(x/2)x-1)^2 dlogis(x) dx.

Value

Object of class "L2LocationScaleFamily"

Author(s)

Peter Ruckdeschel [e-mail]

References

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

See Also

L2ParamFamily-class, Logis-class

Examples

(L1 <- LogisticLocationScaleFamily())
## synonymous: L1 <- LogisticFamily()
plot(L1)
FisherInfo(L1)
### need smaller integration range:
distrExoptions("ElowerTruncQuantile"=1e-4,"EupperTruncQuantile"=1e-4)
checkL2deriv(L1)
distrExoptions("ElowerTruncQuantile"=1e-7,"EupperTruncQuantile"=1e-7)
##
set.seed(123)
x <- rlogis(100,location=1,scale=2)
CvMMDEstimator(x, L1)

distrMod documentation built on Nov. 16, 2022, 9:07 a.m.