L2ParamFamily-class {ROptEstOld} | 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)