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.

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")



[Package CensSpatial version 3.6 Index]