NormLinRegScaleFamily {ROptRegTS}R Documentation

Generating Function for Linear Regression Family with Unknown Scale

Description

Generates an object of class "L2RegTypeFamily" which represents a linear regression family with standard normal distributed errors and random regressor where the scale of the error distribution is unknown.

Usage

NormLinRegScaleFamily(theta, scale = 1, trafo, RegDistr = Norm(), 
                      RegSymm, Reg2Mom, nuisance = FALSE)

Arguments

theta linear regression parameter
scale scale parameter for error distribution
trafo matrix: transformation of the parameter
RegDistr regressor distribution
RegSymm symmetry of the regressor distribution
Reg2Mom second moment matrix of regressor
nuisance logical: is scale nuisance parameter

Details

In case theta is missing, it is set to 0. If Reg2Mom is missing, it is computed via E.

Value

Object of class "L2RegTypeFamily"

Author(s)

Matthias Kohl Matthias.Kohl@stamats.de

References

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

See Also

L2RegTypeFamily-class

Examples

(LM1 <- NormLinRegScaleFamily(Reg2Mom = matrix(1)))
Map(L2deriv(LM1)[[1]])
FisherInfo(LM1)
checkL2deriv(LM1)

[Package ROptRegTS version 0.6.1 Index]