An estimating function approach to inference for inhomogeneous Neyman-Scott processes

Biometrics. 2007 Mar;63(1):252-8. doi: 10.1111/j.1541-0420.2006.00667.x.

Abstract

This article is concerned with inference for a certain class of inhomogeneous Neyman-Scott point processes depending on spatial covariates. Regression parameter estimates obtained from a simple estimating function are shown to be asymptotically normal when the "mother" intensity for the Neyman-Scott process tends to infinity. Clustering parameter estimates are obtained using minimum contrast estimation based on the K-function. The approach is motivated and illustrated by applications to point pattern data from a tropical rain forest plot.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Biometry*
  • Computer Simulation
  • Lauraceae / chemistry
  • Models, Statistical*
  • Monte Carlo Method
  • Poisson Distribution