CensSpatial (version 3.6)

derivcormatrix: 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")

Value

H

distance matrix.

devR1

first derivate of the correlation matrix.

devR2

second derivate of the correlation matrix.

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".

Author

Alejandro Ordonez <<[e-mail]>>, Victor H. Lachos <<[e-mail]>> and Christian E. Galarza <<[e-mail]>>

Maintainer: Alejandro Ordonez <<[e-mail]>>

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).

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")