RandomFields (version 3.1.12)

RPpoisson: Simulation of Random Fields

Description

Shot noise model, which is also called moving average model, trigger process, dilution random field, and by several other names.

Usage

RPpoisson(phi, intensity)

Arguments

phi

the model, RMmodel, gives the shape function to be used

intensity

the intensity of the underlying stationary Poisson point process

See Also

RMmodel RP, RPcoins

Examples

RFoptions(seed=0) ## *ANY* simulation will have the random seed 0; set
##                   RFoptions(seed=NA) to make them all random again
StartExample()
# example 1: Posson field based on disks with radius 1
x <- seq(0,25, 0.02)
model <- RMball()
z <- RFsimulate(RPpoisson(model), x, intensity = 2)
plot(z)
par(mfcol=c(2,1))
plot(z@data[,1:min(length(z@data), 1000)], type="l")
hist(z@data[,1], breaks=0.5 + (-1 : max(z@data)))


# example 2: Poisson field based on the normal density function
# note that
# (i) the normal density as unbounded support that has to be truncated
# (ii) the intensity is high so that the CLT holds
x <- seq(0, 10, 0.01)
model <- RMtruncsupport(radius=5, RMgauss())
z <- RFsimulate(RPpoisson(model), x, intensity = 100)
plot(z)

FinalizeExample()