distrMod (version 2.9.4)

CauchyLocationScaleFamily: Generating function for Cauchy location and scale families

Description

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

Usage

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

Value

Object of class "L2LocationScaleFamily"

Arguments

loc

location

scale

scale

trafo

function in param or matrix: transformation of the parameter

Author

Matthias Kohl

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