# Object Oriented Implementation of Probability Models

## Documentation for package ‘distrMod’ version 2.9.7

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Code demos. Use demo() to run them.
- Package NEWS.

## Help Pages

A B C D E F G H I K L M N O P Q R S T U V W misc

distrMod-package | distrMod - Object Oriented Implementation of Probability Models

## -- A --

addAlphTrsp2col | "addAlphTrsp2col"
addInfo<- | Estimate-class.
addInfo<--method | Estimate-class.
addProp<- | Family of probability measures
addProp<--method | Family of probability measures
asBias | Generating function for asBias-class
asBias-class | Standardized Asymptotic Bias
asCov | Generating function for asCov-class
asCov-class | Asymptotic covariance
asGRisk-class | Convex asymptotic risk
asHampel | Generating function for asHampel-class
asHampel-class | Asymptotic Hampel risk
asMSE | Generating function for asMSE-class
asMSE-class | Asymptotic mean square error
asRisk-class | Aymptotic risk
asRiskwithBias-class | Aymptotic risk
asSemivar | Generating function for asSemivar-class
asSemivar-class | Semivariance Risk Type
asUnOvShoot | Generating function for asUnOvShoot-class
asUnOvShoot-class | Asymptotic under-/overshoot probability
asvar | Estimate-class.
asvar-method | Estimate-class.
asvar<- | Estimate-class.
asvar<--method | Estimate-class.
asymmetricBias | Generating function for asymmetricBias-class
asymmetricBias-class | asymmetric Bias Type

## -- B --

BetaFamily | Generating function for Beta families
biastype | Aymptotic risk
BiasType-class | Bias Type
biastype-method | Aymptotic risk
biastype<- | Aymptotic risk
biastype<--method | Aymptotic risk
BinomFamily | Generating function for Binomial families
bound | Asymptotic Hampel risk
bound-method | Asymptotic Hampel risk
bound-method | Finite-sample Hampel risk

## -- C --

call.estimate | Confint-class
call.estimate-method | Confint-class
CauchyFamily | Generating function for Cauchy location and scale families
CauchyLocationFamily | Generating function for Cauchy location families
CauchyLocationScaleFamily | Generating function for Cauchy location and scale families
checkL2deriv | Generic function for checking L2-derivatives
checkL2deriv-method | L2 differentiable parametric family
coerce-method | MCEstimate-class.
completecases | Estimate-class.
completecases-method | Estimate-class.
completecases.estimate | Confint-class
completecases.estimate-method | Confint-class
confint | Methods for function confint in Package 'distrMod'
Confint-class | Confint-class
confint-method | Confint-class
confint-method | Methods for function confint in Package 'distrMod'
confint-methods | Methods for function confint in Package 'distrMod'
criterion | MCEstimate-class.
criterion-method | MCEstimate-class.
criterion.fct | MCEstimate-class.
criterion.fct-method | MCEstimate-class.
criterion<- | MCEstimate-class.
criterion<--method | MCEstimate-class.
CvMDist2 | Function to compute minimum distance estimates
CvMMDEstimate-class | MCEstimate-class.
CvMMDEstimator | Function to compute minimum distance estimates

## -- D --

d-method | Family of probability measures
dimension-method | Parameter of a parametric family of probability measures
distribution | Family of probability measures
distribution-method | Family of probability measures
distrMod | distrMod - Object Oriented Implementation of Probability Models
distrModMASK | Masking of/by other functions in package "distrMod"
distrModOptions | Function to change the global variables of the package 'distrMod'
distrModoptions | Function to change the global variables of the package 'distrMod'
distrSymm | Family of probability measures
distrSymm-method | Family of probability measures

## -- E --

E-method | L2 differentiable parametric family
estimate | Estimate-class.
Estimate-class | Estimate-class.
estimate-method | Estimate-class.
estimate.call | Estimate-class.
estimate.call-method | Estimate-class.
Estimator | Function to compute estimates
EuclideanNorm | Norm functions
EvenSymmetric | Generating function for EvenSymmetric-class
EvenSymmetric-class | Class for Even Functions
existsPIC | Methods for Function existsPIC in Package 'distrMod'
existsPIC-method | Methods for Function existsPIC in Package 'distrMod'
existsPIC-methods | Methods for Function existsPIC in Package 'distrMod'
ExpScaleFamily | Generating function for exponential scale families

## -- F --

fam.call | Parametric family of probability measures.
fam.call-method | Parametric family of probability measures.
fct | Norm Type
fct-method | Norm Type
fct<- | Norm Type
fct<--method | Norm Type
fiBias | Generating function for fiBias-class
fiBias-class | Finite-sample Bias
fiCov | Generating function for fiCov-class
fiCov-class | Finite-sample covariance
fiHampel | Generating function for fiHampel-class
fiHampel-class | Finite-sample Hampel risk
fiMSE | Generating function for fiMSE-class
fiMSE-class | Finite-sample mean square error
fiRisk-class | Finite-sample risk
FisherInfo | L2 differentiable parametric family
FisherInfo-method | L2 differentiable parametric family
fiUnOvShoot | Generating function for fiUnOvShoot-class
fiUnOvShoot-class | Finite-sample under-/overshoot probability
fixed | Parameter of a parametric family of probability measures
fixed-method | Estimate-class.
fixed-method | Parameter of a parametric family of probability measures
fixed-method | Parametric family of probability measures.
fixed.estimate | Confint-class
fixed.estimate-method | Confint-class
fixed<- | Parameter of a parametric family of probability measures
fixed<--method | Parameter of a parametric family of probability measures
FunctionSymmetry-class | Class of Symmetries for Functions
FunSymmList | Generating function for FunSymmList-class
FunSymmList-class | List of Symmetries for a List of Functions

## -- G --

GammaFamily | Generating function for Gamma families
get.criterion.fct | helper functions for mceCalc and mleCalc
getdistrModOption | Function to change the global variables of the package 'distrMod'

## -- H --

HellingerMDEstimator | Function to compute minimum distance estimates

## -- I --

InfoNorm | Generating function for InfoNorm-class
InfoNorm-class | Norm classes for norms based on quadratic forms
Infos | Estimate-class.
Infos-method | Estimate-class.
Infos<- | Estimate-class.
Infos<--method | Estimate-class.
isKerAinKerB | isKerAinKerB

## -- K --

KolmogorovMDEstimator | Function to compute minimum distance estimates

## -- L --

L2deriv | L2 differentiable parametric family
L2deriv-method | L2 differentiable parametric family
L2derivDistr | L2 differentiable parametric family
L2derivDistr-method | L2 differentiable parametric family
L2derivDistrSymm | L2 differentiable parametric family
L2derivDistrSymm-method | L2 differentiable parametric family
L2derivSymm | L2 differentiable parametric family
L2derivSymm-method | L2 differentiable parametric family
L2GroupParamFamily-class | L2 differentiable parametric group family
L2LocationFamily | Generating function for L2LocationFamily-class
L2LocationFamily-class | L2 differentiable parametric group family
L2LocationScaleFamily | Generating function for L2LocationScaleFamily-class
L2LocationScaleFamily-class | L2 differentiable parametric group family
L2LocationUnknownScaleFamily | Generating function for L2LocationScaleFamily-class in nuisance situation
L2ParamFamily | Generating function for L2ParamFamily-class
L2ParamFamily-class | L2 differentiable parametric family
L2ScaleFamily | Generating function for L2ScaleFamily-class
L2ScaleFamily-class | L2 differentiable parametric group family
L2ScaleUnknownLocationFamily | Generating function for L2LocationScaleFamily-class in nuisance situation
length-method | Parameter of a parametric family of probability measures
LnormScaleFamily | Generating function for lognormal scale families
LogDeriv | L2 differentiable parametric group family
LogDeriv-method | L2 differentiable parametric group family
LogDeriv<- | L2 differentiable parametric group family
LogDeriv<--method | L2 differentiable parametric group family
LogisticFamily | Generating function for Logistic location and scale families
LogisticLocationScaleFamily | Generating function for Logistic location and scale families
LOGISTINT2 | Generating function for Logistic location and scale families

## -- M --

main | Parameter of a parametric family of probability measures
main-method | Estimate-class.
main-method | Parameter of a parametric family of probability measures
main-method | Parametric family of probability measures.
main<- | Parameter of a parametric family of probability measures
main<--method | Parameter of a parametric family of probability measures
makeOKPar | Parametric family of probability measures.
makeOKPar-method | Parametric family of probability measures.
MASKING | Masking of/by other functions in package "distrMod"
mceCalc | Methods for functions mceCalc and mleCalc in Package 'distrMod'
mceCalc-method | Methods for functions mceCalc and mleCalc in Package 'distrMod'
mceCalc-methods | Methods for functions mceCalc and mleCalc in Package 'distrMod'
MCEstimate-class | MCEstimate-class.
MCEstimator | Function to compute minimum criterion estimates
MDEstimate-class | MCEstimate-class.
MDEstimator | Function to compute minimum distance estimates
meRes | helper functions for mceCalc and mleCalc
method | MCEstimate-class.
method-method | MCEstimate-class.
mleCalc | Methods for functions mceCalc and mleCalc in Package 'distrMod'
mleCalc-method | Methods for functions mceCalc and mleCalc in Package 'distrMod'
mleCalc-methods | Methods for functions mceCalc and mleCalc in Package 'distrMod'
MLEstimate-class | MCEstimate-class.
MLEstimator | Function to compute maximum likelihood estimates
modifyModel | Methods for function modifyModel in Package 'distrMod'
modifyModel-method | Methods for function modifyModel in Package 'distrMod'
modifyModel-methods | Methods for function modifyModel in Package 'distrMod'
modifyParam | Parametric family of probability measures.
modifyParam-method | Parametric family of probability measures.

## -- N --

name-method | Bias Type
name-method | Estimate-class.
name-method | Norm Type
name-method | Family of probability measures
name.estimate | Confint-class
name.estimate-method | Confint-class
name<--method | Bias Type
name<--method | Estimate-class.
name<--method | Norm Type
name<--method | Family of probability measures
NbinomFamily | Generating function for Nbinomial families
NbinomMeanSizeFamily | Generating function for Nbinomial families
NbinomwithSizeFamily | Generating function for Nbinomial families
negativeBias | Generating function for onesidedBias-class
NonSymmetric | Generating function for NonSymmetric-class
NonSymmetric-class | Class for Non-symmetric Functions
norm | Aymptotic risk
norm-method | Aymptotic risk
NormFamily | Generating function for normal location and scale families
NormLocationFamily | Generating function for normal location families
NormLocationScaleFamily | Generating function for normal location and scale families
NormLocationUnknownScaleFamily | Generating function for normal location families with unknown scale as nuisance
NormScaleFamily | Generating function for normal scale families
NormScaleUnknownLocationFamily | Generating function for normal scale families with unknown location as nuisance
NormType | Generating function for NormType-class
normtype | Aymptotic risk
NormType-class | Norm Type
normtype-method | Aymptotic risk
normtype<- | Aymptotic risk
normtype<--method | Aymptotic risk
nu | asymmetric Bias Type
nu-method | asymmetric Bias Type
nu<- | asymmetric Bias Type
nu<--method | asymmetric Bias Type
nuisance | Parameter of a parametric family of probability measures
nuisance-method | Estimate-class.
nuisance-method | Parameter of a parametric family of probability measures
nuisance-method | Parametric family of probability measures.
nuisance.estimate | Confint-class
nuisance.estimate-method | Confint-class
nuisance<- | Parameter of a parametric family of probability measures
nuisance<--method | Parameter of a parametric family of probability measures

## -- O --

OddSymmetric | Generating function for OddSymmetric-class
OddSymmetric-class | Class for Odd Functions
onesidedBias-class | onesided Bias Type
optimReturn | MCEstimate-class.
optimReturn-method | MCEstimate-class.
optimwarn | MCEstimate-class.
optimwarn-method | MCEstimate-class.

## -- P --

p-method | Family of probability measures
param-method | Parametric family of probability measures.
ParamFamily | Generating function for ParamFamily-class
ParamFamily-class | Parametric family of probability measures.
ParamFamParameter | Generating function for ParamFamParameter-class
ParamFamParameter-class | Parameter of a parametric family of probability measures
ParamWithScaleAndShapeFamParameter-class | Parameter of a parametric family of probability measures
ParamWithScaleFamParameter-class | Parameter of a parametric family of probability measures
ParamWithShapeFamParameter-class | Parameter of a parametric family of probability measures
plot | L2 differentiable parametric family
plot-method | L2 differentiable parametric family
plot-method | Parametric family of probability measures.
plot-methods | L2 differentiable parametric family
PoisFamily | Generating function for Poisson families
positiveBias | Generating function for onesidedBias-class
print-method | Confint-class
print-method | Estimate-class.
print-method | Common 'print' Methods for S4 classes in Package 'distrMod'
print-methods | Common 'print' Methods for S4 classes in Package 'distrMod'
print.relMatrix | Generic function for checking L2-derivatives
ProbFamily-class | Family of probability measures
profile-method | MCEstimate-class.
props | Family of probability measures
props-method | Family of probability measures
props<- | Family of probability measures
props<--method | Family of probability measures

## -- Q --

q-method | Family of probability measures
q.l-method | Family of probability measures
QFNorm | Generating function for QFNorm-class
QFNorm-class | Norm classes for norms based on quadratic forms
qqplot | Methods for Function qqplot in Package 'distrMod'
qqplot-method | Methods for Function qqplot in Package 'distrMod'
qqplot-methods | Methods for Function qqplot in Package 'distrMod'
QuadForm | Norm classes for norms based on quadratic forms
QuadForm-method | Norm classes for norms based on quadratic forms
QuadForm<- | Norm classes for norms based on quadratic forms
QuadForm<--method | Norm classes for norms based on quadratic forms
QuadFormNorm | Norm functions

## -- R --

r-method | Family of probability measures
returnlevelplot | Methods for Function returnlevelplot in Package 'distrMod'
returnlevelplot-method | Methods for Function returnlevelplot in Package 'distrMod'
returnlevelplot-methods | Methods for Function returnlevelplot in Package 'distrMod'
RiskType-class | Risk

## -- S --

samplesize | Estimate-class.
samplesize-method | Estimate-class.
samplesize-method | helper functions for mceCalc and mleCalc
samplesize.estimate | Confint-class
samplesize.estimate-method | Confint-class
SelfNorm | Generating function for SelfNorm-class
SelfNorm-class | Norm classes for norms based on quadratic forms
show-method | Confint-class
show-method | Estimate-class.
show-method | MCEstimate-class.
show-method | Parameter of a parametric family of probability measures
show-method | Parametric family of probability measures.
show-method | Risk
show-method | Asymptotic Hampel risk
show-method | Asymptotic under-/overshoot probability
show-method | Finite-sample Hampel risk
show-method | Finite-sample under-/overshoot probability
show.details | Function to change the global variables of the package 'distrMod'
sign | onesided Bias Type
sign-method | Semivariance Risk Type
sign-method | onesided Bias Type
sign<- | onesided Bias Type
sign<--method | Semivariance Risk Type
sign<--method | onesided Bias Type
startPar | Parametric family of probability measures.
startPar-method | MCEstimate-class.
startPar-method | Parametric family of probability measures.
symmetricBias | Generating function for symmetricBias-class
symmetricBias-class | symmetric Bias Type

## -- T --

TotalVarMDEstimator | Function to compute minimum distance estimates
trafo | Methods for function trafo in Package 'distrMod'
trafo-method | Methods for function trafo in Package 'distrMod'
trafo-methods | Methods for function trafo in Package 'distrMod'
trafo.estimate | Confint-class
trafo.estimate-method | Confint-class
trafo.fct | Methods for function trafo in Package 'distrMod'
trafo.fct-method | Methods for function trafo in Package 'distrMod'
trafo.fct-methods | Methods for function trafo in Package 'distrMod'
trafo<- | Methods for function trafo in Package 'distrMod'
trafo<--method | Methods for function trafo in Package 'distrMod'
trafoEst | Function trafoEst in Package 'distrMod'
trAsCov | Generating function for trAsCov-class
trAsCov-class | Trace of asymptotic covariance
trFiCov | Generating function for trFiCov-class
trFiCov-class | Trace of finite-sample covariance
type-method | Confint-class
type-method | Risk

## -- U --

untransformed.asvar | Estimate-class.
untransformed.asvar-method | Estimate-class.
untransformed.estimate | Estimate-class.
untransformed.estimate-method | Estimate-class.

## -- V --

validParameter | Methods for function validParameter in Package 'distrMod'
validParameter-method | Methods for function validParameter in Package 'distrMod'
validParameter-methods | Methods for function validParameter in Package 'distrMod'

## -- W --

width | Asymptotic under-/overshoot probability
width-method | Asymptotic under-/overshoot probability
width-method | Finite-sample under-/overshoot probability
withPosRestr | Parameter of a parametric family of probability measures
withPosRestr-method | Parameter of a parametric family of probability measures
withPosRestr<- | Parameter of a parametric family of probability measures
withPosRestr<--method | Parameter of a parametric family of probability measures

## -- misc --

.checkEstClassForParamFamily | Methods for Function .checkEstClassForParamFamily in Package 'distrMod'
.checkEstClassForParamFamily-method | Methods for Function .checkEstClassForParamFamily in Package 'distrMod'
.checkEstClassForParamFamily-methods | Methods for Function .checkEstClassForParamFamily in Package 'distrMod'