NormLinRegScaleFamily: 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
RegSymm
symmetry of the regressor distribution
Reg2Mom
second moment matrix of regressor
nuisance
logical: is scale nuisance parameter
Value
Object of class "L2RegTypeFamily"
Details
In case theta
is missing, it is set to 0.
If Reg2Mom
is missing, it is computed via E
.
References
Kohl, M. (2005) Numerical Contributions to the
Asymptotic Theory of Robustness. Bayreuth: Dissertation.
Examples
Run this code# NOT RUN {
(LM1 <- NormLinRegScaleFamily(Reg2Mom = matrix(1)))
Map(L2deriv(LM1)[[1]])
FisherInfo(LM1)
checkL2deriv(LM1)
# }
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