| L2ParamFamily-class {ROptEst} | R Documentation |
Class of L2 differentiable parametric families.
Objects can be created by calls of the form new("L2ParamFamily", ...).
More frequently they are created via the generating function
L2ParamFamily.
name:"character":
name of the family. distribution:"Distribution":
member of the family. distrSymm:"DistributionSymmetry":
symmetry of distribution. param:"ParamFamParameter":
parameter of the family. props:"character":
properties of the family. L2deriv:"EuclRandVariable":
L2 derivative of the family. L2derivSymm:"FunSymmList":
symmetry of the maps included in L2deriv. L2derivDistr:"UnivarDistrList":
list which includes the distribution of L2deriv. L2derivDistrSymm:"DistrSymmList":
symmetry of the distributions included in L2derivDistr. FisherInfo:"PosDefSymmMatrix":
Fisher information of the family.
Class "ParamFamily", directly.
Class "ProbFamily", by class "ParamFamily".
signature(object = "L2ParamFamily"):
accessor function for L2deriv. signature(object = "L2ParamFamily"):
accessor function for L2derivSymm. signature(object = "L2ParamFamily"):
accessor function for L2derivDistr. signature(object = "L2ParamFamily"):
accessor function for L2derivDistrSymm. signature(object = "L2ParamFamily"):
accessor function for FisherInfo. signature(object = "L2ParamFamily"):
check centering of L2deriv and compute precision
of Fisher information. signature(object = "L2ParamFamily", fun = "EuclRandVariable", cond = "missing"):
expectation of fun under the distribution of object. signature(object = "L2ParamFamily", fun = "EuclRandMatrix", cond = "missing"):
expectation of fun under the distribution of object. signature(object = "L2ParamFamily", fun = "EuclRandVarList", cond = "missing"):
expectation of fun under the distribution of object. signature(x = "L2ParamFamily"):
plot of distribution and L2deriv. Matthias Kohl Matthias.Kohl@stamats.de
Rieder, H. (1994) Robust Asymptotic Statistics. New York: Springer.
Kohl, M. (2005) Numerical Contributions to the Asymptotic Theory of Robustness. Bayreuth: Dissertation.
L2ParamFamily, ParamFamily-class
F1 <- new("L2ParamFamily")
plot(F1)