derivcormatrix {CensSpatial}

R Documentation

First and second derivates of some correlation matrix

Description

It computes the matrix of first and second derivates for the exponential, gaussian, matern, spherical, powered exponential and Cauchy correlation matrix.

Usage

derivcormatrix(coords, phi, kappa = 0, cov.model = "exponential")

Arguments

coords	2D spatial coordinates.
phi	parameter for the matern, powered exponential and cauchy functions.
kappa	parameter for all correlation functions.
cov.model	parameter correlation funtion to calculates the derivates in this case 6 functions are avalible "exponential", "gaussian", "matern", "spherical", "powered.exponential", "cauchy".

Details

The correlations functions used to calculate the derivates from this 6 functions are based in the functions by the package geoR (see cov.spatial).

Value

H	distance matrix.
devR1	first derivate of the correlation matrix.
devR2	second derivate of the correlation matrix.

Author(s)

Alejandro Ordonez <<ordonezjosealejandro@gmail.com>>, Victor H. Lachos <<hlachos@ime.unicamp.br>> and Christian E. Galarza <<cgalarza88@gmail.com>>

Maintainer: Alejandro Ordonez <<ordonezjosealejandro@gmail.com>>

References

Diggle, P. & Ribeiro, P. (2007). Model-Based Geostatistics. Springer Series in Statistics.

Gradshtejn, I. S. & Ryzhik, I. M. (1965). Table of integrals, series and products. Academic Press.

See Also

SAEMSCL

Examples

n<-200
n1=100
r1=sample(seq(1,30,length=400),n+n1)
r2=sample(seq(1,30,length=400),n+n1)
coords=cbind(r1,r2)

s=derivcormatrix(coords=coords,phi=2,kappa=2,cov.model="exponential")

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