Further stationary and isotropic modelsll{
RMaskey Askey model (generalized test or triangle model)
RMbessel Bessel family
RMcircular circular model
RMcauchy modified Cauchy family
RMcubic cubic model (see Chiles & Delfiner)
RMdagum Dagum model
RMdampedcos exponentially damped cosine
RMqexp Variant of the exponential model
RMid identity
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
}
General composed models (operators)
Here, composed models are given that can be of any kind, 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 for details on the optional transformation
parameters (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 natural pratical range operator
RMstein Stein's modification towards finite range
RMtbm Turning bands operator in three (spatial) dimensions
}
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)
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 and vector valued models
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)
RMkolmogorov Kolmogorov's model of turbulence
RMmatrix trivial multivariate model
RMparswm multivariate Whittle-Matern model (stationary and isotropic)
RMschur element-wise product with a positive definite
matrix
RMvector vector-valued field (combining RMcurlfree and RMdivfree)
}
Non-stationary models
ll{
RMnonstwm one of Stein's non-stationary Wittle-Matern model
}
Models related to max-stable random fields (tail correlation functions)
ll{
RMaskey Askey model (generalized test or triangle
model) with $\alpha \ge [dim / 2] +1$
RMbessel Bessel family
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 $\alpha\le 1/2$
RMmatern Whittle-Matern model with $\nu\le 1$
RMschlather tail correlation function of the
extremal Gaussian field
RMstable symmetric stable family or powered
exponential model with $\alpha\le 1$
RMstrokorb shapes functions related max-stable
processes
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.