target.and.grad.spatiotemporal: target.and.grad.spatiotemporal function

In lgcp: Log-Gaussian Cox Process

target.and.grad.spatiotemporal function

Description

A function to compute the target and gradient for 'spatial only' MALA

Usage

target.and.grad.spatiotemporal(
  Gamma,
  nis,
  cellarea,
  rootQeigs,
  invrootQeigs,
  mu,
  spatial,
  logspat,
  temporal,
  bt,
  gt,
  gradtrunc
)

Arguments

Gamma	current state of the chain, Gamma
nis	matrix of cell counts
cellarea	area of cells, a positive number
rootQeigs	square root of the eigenvectors of the precision matrix
invrootQeigs	inverse square root of the eigenvectors of the precision matrix
mu	parameter of the latent Gaussian field
spatial	spatial at risk function, lambda, interpolated onto correct grid
logspat	log of spatial at risk function, lambda*scaleconst, interpolated onto correct grid
temporal	fitted temoporal values
bt	in Brix and Diggle vector b(delta t)
gt	in Brix and Diggle vector g(delta t) (ie the coefficient of R in G(t)), with convention that (deltat[1])=Inf
gradtrunc	gradient truncation parameter

Value

the back-transformed Y, its exponential, the log-target and gradient for use in MALAlgcp

lgcp documentation built on Oct. 3, 2023, 5:08 p.m.