distrMod (version 2.1.1)

CauchyLocationScaleFamily: Generating function for Cauchy location and scale families

Description

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

Usage

CauchyLocationScaleFamily(loc = 0, scale = 1, trafo)

Arguments

loc

location

scale

scale

trafo

function in param or matrix: transformation of the parameter

Value

• Object of class "L2LocationScaleFamily"

concept

• Cauchy location and scale model
• location and scale model

Details

The slots of the corresponding L2 differentiable parameteric family are filled.

References

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

See Also

L2ParamFamily-class, Cauchy-class

Examples

(C1 <- CauchyLocationScaleFamily())
plot(C1)
FisherInfo(C1)
### need smaller integration range:
distrExoptions("ElowerTruncQuantile"=1e-4,"EupperTruncQuantile"=1e-4)
checkL2deriv(C1)
distrExoptions("ElowerTruncQuantile"=1e-7,"EupperTruncQuantile"=1e-7)