L2RegTypeFamily: Generating function for L2RegTypeFamily-class
In ROptRegTS: Optimally Robust Estimation for Regression-Type Models

Description Usage Arguments Details Value Author(s) References See Also Examples

Generates an object of class "RegTypeFamily".

L2RegTypeFamily(name, distribution = LMCondDistribution(), distrSymm, 
        main = 0, nuisance, trafo, param, props = character(0), 
        L2deriv = EuclRandVarList(EuclRandVariable(
                  Map = list(function(x) {x[1] * x[2]}),
                  Domain = EuclideanSpace(dimension = 2),
                  dimension = 1)),
        ErrorDistr = Norm(), ErrorSymm, RegDistr = Norm(), RegSymm, 
        Regressor = RealRandVariable(Map = list(function(x) {x}), Domain = Reals()), 
        ErrorL2deriv = EuclRandVarList(RealRandVariable(Map = list(function(x) {x}), 
                                                        Domain = Reals())), 
        ErrorL2derivSymm, ErrorL2derivDistr, ErrorL2derivDistrSymm, FisherInfo)

`name`	name of the family
`distribution`	conditional distribution (given the regressor)
`distrSymm`	symmetry of `distribution`
`ErrorDistr`	error distribution
`ErrorSymm`	object of class `"DistributionSymmetry"`: symmetry of `ErrorDistr`
`main`	main parameter
`nuisance`	optional nuisance parameter
`trafo`	matrix: optional transformation of the parameter
`param`	parameter of the family
`props`	properties of the family
`RegDistr`	regressor distribution
`RegSymm`	object of class `"DistributionSymmetry"`: symmetry of `RegDistr`
`Regressor`	regressor
`L2deriv`	object of class `"EuclRandVariable"`: L2 derivative
`ErrorL2deriv`	object of class `"EuclRandVariable"`: L2 derivative of `ErrorDistr`
`ErrorL2derivDistr`	distribution of `ErrorL2deriv`
`ErrorL2derivSymm`	object of class `"FunSymmList"`: symmetry of `ErrorL2deriv`
`ErrorL2derivDistrSymm`	object of class `"DistrSymmList"`: symmetry of `ErrorL2derivDistr`
`FisherInfo`	Fisher information matrix

If name is missing, the default “L2 differentiable regression type family” is used. If param is missing, the parameter is created via main, nuisance and trafo as described in ParamFamParameter. In case distrSymm, ErrorSymm, RegSymm is missing, they are set to NoSymmetry(). If FisherInfo is missing, it is computed via numerical integration.