Further stationary and isotropic modelsll{
RMaskey Askey model (generalized test or triangle model)
RMbessel Bessel family
RMcircular circular model
RMcauchy modified Cauchy family
RMconstant spatially constant model
RMcubic cubic model (see Chiles & Delfiner)
RMdagum Dagum model
RMdampedcos exponentially damped cosine
RMqexp Variant of the exponential model
RMfractdiff fractionally differenced process
RMfractgauss fractional Gaussian noise
RMgengneiting generalized Gneiting model
RMgneitingdiff Gneiting model for tapering
RMhyperbolic generalised hyperbolic model
RMlgd Gneiting's local-global distinguisher
RMma one of Ma's model
RMpenta penta model (see Chiles & Delfiner)
RMpower Golubov's model
RMwave cardinal sine
}
Variogram models (stationary increments/intrinsically stationary)
ll{
RMdewijsian generalised version of the DeWijsian model
RMgenfbm generalized fractal Brownian motion
RMflatpower similar to fractal Brownian motion but
always smooth at the origin
}
General composed models (operators)
Here, composed models are given that can be of any kind (stationary/non-stationary), depending on the submodel.
ll{RMbernoulli Correlation function of a binary field
based on a Gaussian field
RMexponential exponential of a covariance model
RMintexp integrated exponential of a covariance model (INCLUDES ma2)
RMpower powered variograms
RMqam Porcu's quasi-arithmetric-mean model
RMS details on the optional transformation
arguments (var, scale, Aniso, proj).
}
Stationary and isotropic composed models (operators)
ll{
RMcutoff Gneiting's modification towards finite range
RMintrinsic Stein's modification towards finite range
RMnatsc practical range
RMstein Stein's modification towards finite range
RMtbm Turning bands operator
}
Stationary space-time models
Here, most of the models are composed models (operators).
ll{
RMave space-time moving average model
RMcoxisham Cox-Isham model
RMcurlfree curlfree (spatial) field (stationary and anisotropic)
RMdivfree divergence free (spatial) vector valued field, (stationary and anisotropic)
RMgennsst generalization of Gneiting's non-separable space-time model
RMiaco non-separabel space-time model
RMmastein Ma-Stein model
RMnsst Gneiting's non-separable space-time model
RMstein Stein's non-separabel space-time model
RMstp Single temporal process
RMtbm Turning bands operator}
Multivariate/Multivariable and vector valued models
See also the vignette ../doc/multivariate_jss.pdf{multivariate}.
ll{
RMbiwm full bivariate Whittle-Matern model (stationary and isotropic)
RMbigneiting bivariate Gneiting model (stationary and isotropic)
RMcurlfree curlfree (spatial) vector-valued field (stationary and anisotropic)
RMdelay bivariate delay effect model (stationary)
RMdivfree divergence free (spatial) vector valued
field, (stationary and anisotropic)
RMexponential functional returning $e^C$
RMkolmogorov Kolmogorov's model of turbulence
RMmatrix trivial multivariate model
RMmqam multivariate quasi-arithmetic mean (stationary)
RMparswm multivariate Whittle-Matern model (stationary and isotropic)
RMschur element-wise product with a positive definite
matrix
RMtbm turning bands operator
RMvector vector-valued field (combining RMcurlfree and RMdivfree)
}
Non-stationary models
ll{
RMnonstwm one of Stein's non-stationary
Wittle-Matern models
RMprod scalar product
}
Negative definite models that are not variograms
ll{
RMsum a non-stationary variogram model
}
Models related to max-stable random fields (tail correlation functions)
ll{
RMaskey Askey model (generalized test or triangle
model) with $\alpha \ge [dim / 2] +1$
RMbernoulli Correlation function of a binary field
based on a Gaussian field
RMbr2bg Operator relating a Brown-Resnick process
to a Bernoulli process
RMbr2eg Operator relating a Brown-Resnick process
to an extremal Gaussian process
RMbrownresnick tail correlation function
of Brown-Resnick process
RMgencauchy generalized Cauchy family with $\alpha\le 1/2$
RMm2r shape functions related to max-stable
processes
RMm3b shape functions related to max-stable
processes
RMmatern Whittle-Matern model with $\nu\le 1$
RMmps shape functions related to max-stable
processes
RMschlather tail correlation function of the
extremal Gaussian field
RMstable symmetric stable family or powered
exponential model with $\alpha\le 1$
RMwhittle Whittle-Matern model, alternative
parametrization with $\nu\le 1/2$
}
Other covariance models
ll{
RMuser User defined model
}
Auxiliary models
There are models or better function that are not covariance functions,
but can be part of a model definition. See Auxiliary RMmodels.