Description Usage Arguments Details Value References See Also Examples
RMfbm
is an intrinsically stationary isotropic variogram
model. The corresponding centered semivariogram only depends on the
distance r ≥ 0 between two points and is given by
γ(r) = r^α
where 0 < α ≤ 2.
By now, the model is implemented for dimensions up to 3.
For a generalized model see also RMgenfbm
.
1 
alpha 
numeric in (0,2]; refers to the fractal dimension of the process 
var,scale,Aniso,proj 
optional arguments; same meaning for any

The variogram is unbounded and belongs to a nonstationary process with
stationary increments. For α=1 and scale=2
we get a variogram corresponding to a standard Brownian Motion.
For 0 < α < 2 the quantity H=α/2 is called Hurst index and determines the fractal dimension D of the corresponding Gaussian sample paths
D = d + 1  H
where d is the dimension of the random field (see Chiles and Delfiner, 1999, p. 89).
RMfbm
returns an object of class RMmodel
.
Chiles, J.P. and P. Delfiner (1999) Geostatistics. Modeling Spatial Uncertainty. New York, Chichester: John Wiley & Sons.
Stein, M.L. (2002) Fast and exact simulation of fractional Brownian surfaces. J. Comput. Graph. Statist. 11, 587–599.
RMgenfbm
,
RMmodel
,
RFsimulate
,
RFfit
.
1 2 3 4 5 6 7 
Loading required package: sp
Loading required package: RandomFieldsUtils
Attaching package: 'RandomFields'
The following object is masked from 'package:RandomFieldsUtils':
RFoptions
The following objects are masked from 'package:base':
abs, acosh, asin, asinh, atan, atan2, atanh, cos, cosh, exp, expm1,
floor, gamma, lgamma, log, log1p, log2, logb, max, min, round, sin,
sinh, sqrt, tan, tanh, trunc
NULL
NOTE: simulation is performed with fixed random seed 0.
Set 'RFoptions(seed=NA)' to make the seed arbitrary.
New output format of RFsimulate: S4 object of class 'RFsp';
for a bare, but faster array format use 'RFoptions(spConform=FALSE)'.
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