lambda: intensity object suitable for use in Cox simulation

In antiphon/rcox: Simulates Cox point process, in 2D and 3D

intensity object suitable for use in Cox simulation

Description

intensity object suitable for use in Cox simulation

Usage

lambda(
  x,
  kernel = "gauss",
  sigma = 0.5,
  type = "sum",
  alpha = 1,
  weights = NULL
)

Arguments

x	matrix of coordinates
kernel	type of kernel to use, "gauss" or "step"
sigma	kernel parameter, sd of gauss or range of step
type	"sum" or "product", see details
alpha	additional scaling parameter
weights	If a vector of length nrow(x), weight the sum/prod with these weights

Details

For type="sum", the field is

v(u) = alpha * sum k(u-x)

where k is a kernel, and type="product"

v(u) = exp(alpha[1]) * prod [ 1 + alpha[2]*k(u-x)/k(0) ]

following Jalilian et al. 2015. The kernels are normalised densities in the dimension of x.

This function merely creates an field object. Use "coxintensity2matrix" to evaluate it at arbitrary locations, or "rcox" to simulate uniform/poisson process on it.

antiphon/rcox documentation built on June 3, 2023, 11:07 a.m.