sumising {bayess} R Documentation

## Approximation by path sampling of the normalising constant for the Ising model

### Description

This function implements a path sampling approximation of the normalising constant of an Ising model with a four neighbour relation.

### Usage

sumising(niter = 10^3, numb, beta)


### Arguments

 niter number of iterations numb size of the square grid for the Ising model beta Ising model parameter

### Value

returns a vector of 21 values for Z(\beta) corresponding to a regular sequence of \beta's between 0 and 2

isingibbs,isinghm

### Examples

Z=seq(0,2,length=21)
for (i in 1:21)
Z[i]=sumising(5,numb=24,beta=Z[i])
lrcst=approxfun(seq(0,2,length=21),Z)
plot(seq(0,2,length=21),Z,xlab="",ylab="")