# Simulation and Analysis of Random Fields

## Documentation for package ‘RandomFields’ version 3.0.44

- DESCRIPTION file.
- User guides, package vignettes and other documentation.

## Help Pages

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

RandomFields-package | Simulation and Analysis of Random Fields

## -- A --

Advanced RMmodels | Advanced features of the mdoels
AIC-method | Class 'RFfit'
AIC.RF_fit | Class 'RFfit'
AICc.RFfit | Class 'RFfit'
AICc.RF_fit | Class 'RFfit'
anova-method | Class 'RFfit'
anova-method | Class "RMmodelFit"
anova.RF_fit | Class 'RFfit'
anova.RM_modelFit | Class "RMmodelFit"
as.array.RFgridDataFrame | Class 'RFgridDataFrame'
as.array.RFspatialGridDataFrame | Class "RFspatialGridDataFrame"
as.data.frame.RFspatialGridDataFrame | Class "RFspatialGridDataFrame"
as.data.frame.RFspatialPointsDataFrame | Class "RFspatialPointsDataFrame"
as.matrix.RFgridDataFrame | Class 'RFgridDataFrame'
as.matrix.RFspatialGridDataFrame | Class "RFspatialGridDataFrame"
as.vector.RFgridDataFrame | Class 'RFgridDataFrame'
as.vector.RFspatialGridDataFrame | Class "RFspatialGridDataFrame"
Auxiliary Models | Auxiliary and other Models
Auxiliary RMmodels | Auxiliary and other Models
AuxiliaryModels | Auxiliary and other Models
Average | Random coin method

## -- B --

Baysian | Baysian Spatial Modelling
baysian | Baysian Spatial Modelling
BIC-method | Class 'RFfit'
BIC.RF_fit | Class 'RFfit'
BRmethods | Simulation methods for Brown-Resnick processes
Brown-Resnick | Brown-Resnick process
Brown-Resnick process | Brown-Resnick process

## -- C --

cbind.RFgridDataFrame | Class 'RFgridDataFrame'
cbind.RFpointsDataFrame | Class 'RFpointsDataFrame'
cbind.RFspatialGridDataFrame | Class "RFspatialGridDataFrame"
cbind.RFspatialPointsDataFrame | Class "RFspatialPointsDataFrame"
Changings | Documentation of some further changings
changings | Documentation of some further changings
checkExamples | Internal functions
Circulant | Circulant Embedding methods
coerce-method | Class 'RFempVariog'
coerce-method | Class 'RFfit'
coerce-method | Class 'RFgridDataFrame'
coerce-method | Class 'RFpointsDataFrame'
coerce-method | Class "RFspatialGridDataFrame"
coerce-method | Class "RFspatialPointsDataFrame"
Coins | Random coin method
CondSimu | Obsolete functions
constants | Constants used in RandomFields (RC constants)
contour.RFspatialGridDataFrame | Class "RFspatialGridDataFrame"
conventional2RFspDataFrame | Coercion to class 'RFsp' objects
coord_units | Documentation of some further changings
Covariance | Obsolete functions
CovarianceFct | Obsolete functions
CovMatrix | Obsolete functions
Cutoff | Circulant Embedding methods

## -- D --

DeleteAllRegisters | Obsolete functions
DeleteRegister | Obsolete functions
Dependencies | Internal functions
dimensions-method | Class 'RFsp'
Direct | Methods relying on square roots of the covariance matrix
DoSimulateRF | Obsolete functions

## -- E --

EmpiricalVariogram | Obsolete functions
error function model | Tail correlation function of the Brown-Resnick process
extremal Gaussian | Extremal Gaussian process
extremal Gaussian process | Extremal Gaussian process
extremal t | Extremal t process
extremal t process | Extremal t process

## -- F --

FinalizeExample | Internal functions
fitgauss | Details on fitting Gaussian random fields
fitvario | Obsolete functions
fractal.dim | Obsolete functions

## -- G --

Gaussian | Methods for Gaussian Random Fields
GaussRF | Obsolete functions
GetModelList | Information about the implemented covariance models
GetModelNames | Information about the implemented covariance models
GKS11 | Pressure and temperature forecast errors over the Pacific Northwest
GridTopology2gridVectors-method | Class "RFspatialGridDataFrame"
GSPSJ06 | Fast and Exact Simulation of Large Gaussian Lattice Systems in R2

## -- H --

hurst | Obsolete functions
Hyperplane | Hyperplane method

## -- I --

InitGaussRF | Obsolete functions
InitMaxStableRF | Obsolete functions
InitSimulateRF | Obsolete functions
Intrinsic | Circulant Embedding methods
isGridded | Class 'RFsp'
isGridded-method | Class 'RFsp'

## -- J --

jss14 | Covariance models for multivariate and vector valued fields

## -- K --

Kriging | Obsolete functions
kriging | Interpolation methods

## -- L --

lines.RMmodel | Methods for function 'plot' in package 'RandomFields'
logLik.RFfit | Class 'RFfit'
logLik.RF_fit | Class 'RFfit'

## -- M --

M2 | (Mixed) Moving Maxima
M3 | (Mixed) Moving Maxima
MajorRevisions | Documentation of major changings
Maxstable | Simulation of Max-Stable Random Fields
maxstable | Simulation of Max-Stable Random Fields
maxstableAdvanced | Simulation examples of advanced Max-Stable Random Fields
MaxStableRF | Obsolete functions
mixed moving maxima | (Mixed) Moving Maxima
moving maxima | (Mixed) Moving Maxima

## -- N --

new_coord_units | Documentation of some further changings
Nugget | Method to simulate the Nugget effect

## -- O --

Other models | Auxiliary and other Models

## -- P --

papers | Papers involving 'RandomFields' and co-authored by M. Schlather
persp-method | Class 'RFempVariog'
persp-method | Class 'RFfit'
persp-method | Methods for function 'plot' in package 'RandomFields'
plot-method | Methods for function 'plot' in package 'RandomFields'
plotWithCircles | Internal functions
points.RMmodel | Methods for function 'plot' in package 'RandomFields'
powered error function | Tail correlation function of the Brown-Resnick process
powered exponential | Stable Family / Powered Exponential Model
Print | Nice print function returning also the names automatically
print-method | Class 'RFempVariog'
print-method | Class 'RFfit'
print-method | Class "RMmodelFit"
print.crossvalidate | Fitting model parameters to spatial data (regionalised variables) and to linear (mixed) models
print.RFfit | Class 'RFfit'
print.RFgridDataFrame | Class 'RFgridDataFrame'
print.RFpointsDataFrame | Class 'RFpointsDataFrame'
print.RFratiotest | Likelihood ratio test
print.RFspatialGridDataFrame | Class "RFspatialGridDataFrame"
print.RFspatialPointsDataFrame | Class "RFspatialPointsDataFrame"
print.RF_empVariog | Class 'RFempVariog'
print.RF_fit | Class 'RFfit'
print.RMmodel | Class 'RMmodel'
print.RMmodelFit | Class "RMmodelFit"
print.RMmodelgenerator | Class 'RMmodelgenerator'
print.RM_modelFit | Class "RMmodelFit"
print.summary.crossvalidate | Fitting model parameters to spatial data (regionalised variables) and to linear (mixed) models
PrintModelList | Information about the implemented covariance models

## -- R --

RandomFields | Simulation and Analysis of Random Fields
RC | Constants used in RandomFields (RC constants)
RC_CARTESIAN_COORD | Constants used in RandomFields (RC constants)
RC_DOMAIN | Constants used in RandomFields (RC constants)
RC_ISOTROPIC | Constants used in RandomFields (RC constants)
RC_ISOTROPY | Constants used in RandomFields (RC constants)
RC_MONOTONE | Constants used in RandomFields (RC constants)
RC_SPACEISOTROPIC | Constants used in RandomFields (RC constants)
RC_TYPE | Constants used in RandomFields (RC constants)
RF | Evaluation operators (RF commands)
RFcov | Evaluate Covariance and Variogram Functions
RFcovmatrix | Evaluate Covariance and Variogram Functions
RFcrossvalidate | Fitting model parameters to spatial data (regionalised variables) and to linear (mixed) models
RFcrossvalidate.default | Fitting model parameters to spatial data (regionalised variables) and to linear (mixed) models
RFdataFrame | Class 'RFsp'
RFdataFrame-class | Class 'RFsp'
RFddistr | Evaluating distribution families
RFdistr | Evaluating distribution families
RFearth2cartesian | Transformation of coordinate systems
RFearth2dist | Transformation of coordinate systems
RFempiricalvariogram | Empirical (Cross-)Variogram
RFempVariog-class | Class 'RFempVariog'
RFfctn | Evaluate Covariance and Variogram Functions
RFfit | Fitting model parameters to spatial data (regionalised variables) and to linear (mixed) models
RFfit-class | Class 'RFfit'
RFfit.default | Fitting model parameters to spatial data (regionalised variables) and to linear (mixed) models
RFformula | RFformula - syntax to design random field models with trend or linear mixed models
RFfractaldim | RFfractaldimension
RFfunction | Evaluation operators (RF commands)
RFfunctions | Evaluation operators (RF commands)
rfGenerateModels | Internal functions
RFgetMethodNames | Simulation Techniques
RFgetModel | Internal information
RFgetModelInfo | Internal information
RFgetModelNames | Names of implemented covariance and variogram models
RFgridDataFrame | Class 'RFgridDataFrame'
RFgridDataFrame-class | Class 'RFgridDataFrame'
RFgui | Graphical User Interface For Fitting Covariance Models And Variograms
RFhurst | Hurst coefficient
RFinterpolate | Interpolation methods
RFmodel | Evaluation operators (RF commands)
RFmodels | Evaluation operators (RF commands)
RFoldstyle | RFoldstyle
RFoptions | Setting control arguments
RFoptionsAdvanced | Setting control arguments of 'RandomFields' - advanced examples
RFparameters | Obsolete functions
RFpdistr | Evaluating distribution families
RFpointsDataFrame | Class 'RFpointsDataFrame'
RFpointsDataFrame-class | Class 'RFpointsDataFrame'
RFpseudovariogram | Evaluate Covariance and Variogram Functions
RFqdistr | Evaluating distribution families
RFratiotest | Likelihood ratio test
RFrdistr | Evaluating distribution families
RFsimulate | Simulation of Random Fields
RFsimulate.more.examples | Further Examples for the Simulation of Random Fields
RFsimulate.sophisticated.examples | Sophisticated Examples for the Simulation of Random Fields
RFsimulateAdvanced | Simulation of Random Fields - Advanced
RFsp-class | Class 'RFsp'
RFspatialDataFrame | Class 'RFsp'
RFspatialDataFrame-class | Class 'RFsp'
RFspatialGridDataFrame | Class "RFspatialGridDataFrame"
RFspatialGridDataFrame-class | Class "RFspatialGridDataFrame"
RFspatialPointsDataFrame | Class "RFspatialPointsDataFrame"
RFspatialPointsDataFrame-class | Class "RFspatialPointsDataFrame"
RFspDataFrame2conventional | coerce RFsp-class to conventional format
RFspDataFrame2conventional-method | Class 'RFgridDataFrame'
RFspDataFrame2conventional-method | Class 'RFpointsDataFrame'
RFspDataFrame2conventional-method | Class "RFspatialGridDataFrame"
RFspDataFrame2conventional-method | Class "RFspatialPointsDataFrame"
RFspDataFrame2dataArray | coerce RFsp-class to conventional format
RFspDataFrame2dataArray-method | Class 'RFgridDataFrame'
RFspDataFrame2dataArray-method | Class "RFspatialGridDataFrame"
RFvariogram | Evaluate Covariance and Variogram Functions
RF_fit-class | Class 'RFfit'
RM | Covariance and Variogram Models in 'RandomFields' (RM commands)
RMangle | Anisotropy matrix given by angle
RMaskey | Askey model
RMave | Space-time moving average model
RMball | RMball
RMbcw | Model bridging stationary and intrinsically stationary processes
RMbernoulli | Covariance Model for binary field based on a Gaussian field
RMbessel | Bessel Family Covariance Model
RMbigneiting | Gneiting-Wendland Covariance Models
RMbiwendland | Gneiting-Wendland Covariance Models
RMbiwm | Full Bivariate Whittle Matern Model
RMbr2bg | Transformation from Brown-Resnick to Bernoulli
RMbr2eg | Transformation from Brown-Resnick to Gauss
RMbrownresnick | Tail correlation function of the Brown-Resnick process
RMcardinalsine | Wave Covariance Model / Cardinal Sine
RMcauchy | Cauchy Family Covariance Model
RMcauchytbm | Modifications of the Cauchy Family Covariance Model
RMcircular | Circular Covariance Model
RMconstant | Constant Covariance Matrix
RMcoord | Coordinates in the mixed model representation
RMcoxisham | Cox Isham Covariance Model
RMcubic | Cubic Covariance Model
RMcurlfree | Curlfree Covariance Model
RMcutoff | Gneiting's modification towards finite range
RMdagum | Dagum Covariance Model Family
RMdampedcos | Exponentially Damped Cosine
RMdelay | Bivariate Delay Effect
RMdewijsian | Modified DeWijsian Variogram Model
RMdivfree | Divfree Covariance Model
RMeaxxa | Special models for rotation like fields
RMepscauchy | Generalized Cauchy Family Covariance Model
RMetaxxa | Special models for rotation like fields
RMexp | Exponential Covariance Model
RMexponential | Exponential operator
RMfbm | Variogram Model of Fractal Brownian Motion
RMfixed | Fixed Effect Model
RMflatpower | Variogram Model Similar to Fractal Brownian Motion
RMfractdiff | Fractionally Differenced Process Model
RMfractgauss | Fractal Gaussian Model Family
RMgauss | Gaussian Covariance Model
RMgencauchy | Generalized Cauchy Family Covariance Model
RMgenfbm | Generalized Fractal Brownian Motion Variogram Model
RMgengneiting | Gneiting-Wendland Covariance Models
RMgneiting | Gneiting Covariance Model
RMgneitingdiff | Gneiting Covariance Model Used as Tapering Function
RMhyperbolic | Generalized Hyperbolic Covariance Model
RMiaco | Iaco-Cesare model
RMid | Identical Model
RMintern | Internal models
RMintexp | Integral exponential operator
RMintrinsic | Intrinsic Embedding Covariance Model
RMjbessel | Bessel Family Covariance Model
RMkbessel | Whittle-Matern Covariance Model
RMkolmogorov | Identical Model
RMlgd | Local-Global Distinguisher Family Covariance Model
RMm2r | Tail correlation function of the Brown-Resnick process
RMm3b | Tail correlation function of the Brown-Resnick process
RMma | Ma operator
RMmastein | Ma-Stein operator
RMmatern | Whittle-Matern Covariance Model
RMmatrix | Matrix operator
RMmixed | Internal models
RMmodel | Covariance and Variogram Models in 'RandomFields' (RM commands)
RMmodel-class | Class 'RMmodel'
RMmodelFit-class | Class "RMmodelFit"
RMmodelgenerator-class | Class 'RMmodelgenerator'
RMmodels | Covariance and Variogram Models in 'RandomFields' (RM commands)
RMmodelsAdvanced | Advanced features of the mdoels
RMmodelsAuxiliary | Auxiliary and other Models
RMmppplus | Mixture of shape functions
RMmps | Tail correlation function of the Brown-Resnick process
RMmqam | multivariate quasi-arithmetic mean
RMmult | Multiplication of Random Field Models
RMmult_inverse | Internal models
RMnatsc | Natural scale
RMnatsc_intern | Internal models
RMnonstwm | RMnonstwm
RMnsst | Non-Separable Space-Time model
RMnugget | Nugget Effect Covariance Model
RMnull | Internal models
RMparswm | Parsimonious Multivariate Whittle Matern Model
RMparswmX | Parsimonious Multivariate Whittle Matern Model
RMpenta | Penta Covariance Model
RMplus | Addition of Random Field Models
RMpolygon | RMpolygon
RMpower | Power operator for Variograms and Covariance functions
RMpoweredexp | Stable Family / Powered Exponential Model
RMpoweredexponential | Stable Family / Powered Exponential Model
RMptsGivenShape | Internal models
RMqam | Quasi-arithmetic mean
RMqexp | Variant of the exponential model
RMr3binner | Internal models
RMrational | Rational function
RMrotat | Rotation matrices
RMrotation | Rotation matrices
RMS | Scaling operator
RMschlather | Covariance Model for binary field based on Gaussian field
RMschur | Schur product
RMselect | Internal models
RMsetparam | Internal models
RMshape.ave | Internal models
RMshape.stp | Internal models
RMsign | Random sign
RMspheric | Spherical Covariance Model
RMSpower | Internal models
RMstable | Stable Family / Powered Exponential Model
RMstandardShape | Internal models
RMstatShape | Internal models
RMstein | Stein nonseparable space-time model
RMstp | Single temporal process
RMstrokorb | Tail correlation function of the Brown-Resnick process
RMstrokorbBall | Tail correlation function of the Brown-Resnick process
RMstrokorbMono | Tail correlation function of the Brown-Resnick process
RMstrokorbPoly | Tail correlation function of the Brown-Resnick process
RMtbm | Turning Bands Method
RMtent | Askey model
RMtrafo | Transformation of coordinate systems
RMtrend | Trend Model
RMtruncsupport | Random sign
RMuser | User Defined Function
RMvector | Vector Covariance Model
RMwave | Wave Covariance Model / Cardinal Sine
RMwendland | Gneiting-Wendland Covariance Models
RMwhittle | Whittle-Matern Covariance Model
RM_modelFit-class | Class "RMmodelFit"
RO# | Internal models
RO> | Internal models
ROmissing | Internal models
RP | Models for classes of random fields (RP commands)
RP$pow | Internal models
RPaverage | Random coin method
RPaverageIntern | Internal models
RPbernoulli | Simulation of Binary Random Fields
RPbrmixed | Simulation methods for Brown-Resnick processes
RPbrmixedIntern | Internal models
RPbrorig | Simulation methods for Brown-Resnick processes
RPbrorigIntern | Internal models
RPbrownresnick | Brown-Resnick process
RPbrshifted | Simulation methods for Brown-Resnick processes
RPbrshiftIntern | Internal models
RPchi2 | Simulation of a Chi2 Random Fields
RPcirculant | Circulant Embedding methods
RPcoins | Random coin method
RPcutoff | Circulant Embedding methods
RPcutoffIntern | Internal models
RPdirect | Methods relying on square roots of the covariance matrix
RPgauss | Simulation of Gaussian Random Fields
RPhyperIntern | Internal models
RPhyperplane | Hyperplane method
RPintrinsic | Circulant Embedding methods
RPintrinsIntern | Internal models
RPmaxstable | Simulation of Max-Stable Random Fields
RPmodel | Models for classes of random fields (RP commands)
RPmodels | Models for classes of random fields (RP commands)
RPmppplus | Internal models
RPmult | Internal models
RPnugget | Method to simulate the Nugget effect
RPnuggetIntern | Internal models
RPopitz | Extremal t process
RPplus | Internal models
RPplusproc | Internal models
RPpoisson | Simulation of Random Fields
RPprocess | Models for classes of random fields (RP commands)
RPprocesses | Models for classes of random fields (RP commands)
RPS | Internal models
RPschlather | Extremal Gaussian process
RPsequential | Methods relying on square roots of the covariance matrix
RPsmith | (Mixed) Moving Maxima
RPspecific | Methods that are specific to certain covariance models
RPspectral | Spectral turning bands method
RPspectralIntern | Internal models
RPt | Simulation of a T Random Fields
RPtbm | Turning Bands method
RPtbmIntern | Internal models
RPtrend | Internal models
RR | Distribution families (RR commands)
RRarcsqrt | Internal models
RRdeterm | Random scaling used with balls
RRdistr | RRdistr
RRgauss | Random scaling used with balls
RRloc | Random scaling used with balls
RRmodel | Distribution families (RR commands)
RRmodels | Distribution families (RR commands)
RRrectangular | Random scaling used with balls
RRsetDistr | Internal models
RRsign | Random sign
RRspheric | Random scaling used with balls
RRunif | Random scaling used with balls

## -- S --

S02 | Models for stationary max-stable random fields
S10 | On some covariance models based on normal scale mixtures
SBS14 | Systematic co-occurrence of tail correlation functions among max-stable processes
ScreenDevice | Internal functions
Sequential | Methods relying on square roots of the covariance matrix
show-method | Class 'RFempVariog'
show-method | Class 'RFfit'
show-method | Class 'RFgridDataFrame'
show-method | Class 'RFpointsDataFrame'
show-method | Class "RFspatialGridDataFrame"
show-method | Class "RFspatialPointsDataFrame"
show-method | Class 'RMmodel'
show-method | Class "RMmodelFit"
show-method | Class 'RMmodelgenerator'
showManpages | Internal functions
Sobolev | Whittle-Matern Covariance Model
soil | Soil data of North Bavaria, Germany
sp2RF | Transformation of an 'sp' object to an 'RFsp' object
Specific | Methods that are specific to certain covariance models
Spectral | Spectral turning bands method
SS12 | Covariance Models for Random Vector Fields
str.RMmodel | Class 'RMmodel'
summary,RFfit-methodt | Class 'RFfit'
summary-method | Class 'RFempVariog'
summary-method | Class 'RFsp'
summary-method | Class "RMmodelFit"
summary.crossvalidate | Fitting model parameters to spatial data (regionalised variables) and to linear (mixed) models
summary.RF_empVariog | Class 'RFempVariog'
summary.RF_fit | Class 'RFfit'
summary.RM_modelFit | Class "RMmodelFit"

## -- T --

Tbm | Turning Bands method
tbmdim | Documentation of some further changings
truncated power function | Askey model

## -- V --

variab_units | Documentation of some further changings
variance-method | Class 'RFsp'
Variogram | Obsolete functions

## -- W --

weather | Pressure and temperature forecast errors over the Pacific Northwest

## -- misc --

* | Multiplication of Random Field Models
*-method | Class 'RMmodel'
+ | Addition of Random Field Models
++ | Mixture of shape functions
+-method | Class 'RMmodel'
.RFfit | Class 'RFfit'
.RF_fit | Class 'RFfit'
[-method | Class 'RFfit'
[-method | Class 'RFgridDataFrame'
[-method | Class 'RFpointsDataFrame'
[-method | Class 'RFsp'
[-method | Class "RFspatialGridDataFrame"
[-method | Class "RFspatialPointsDataFrame"
[-method | Class 'RMmodel'
[-method | Covariance and Variogram Models in 'RandomFields' (RM commands)
[-method | Class "RMmodelFit"
[-method | Class 'RMmodelgenerator'
[<--method | Class 'RFgridDataFrame'
[<--method | Class 'RFpointsDataFrame'
[<--method | Class 'RFsp'
[<--method | Class "RFspatialGridDataFrame"
[<--method | Class "RFspatialPointsDataFrame"
[<--method | Class 'RMmodel'
[<--method | Covariance and Variogram Models in 'RandomFields' (RM commands)
[<--method | Class "RMmodelFit"
[<--method | Class 'RMmodelgenerator'