Journal Article

Two-step estimation for inhomogeneous spatial point processes

Waagepetersen, Rasmus, Guan, Yongtao

2009

Overview

The paper is concerned with parameter estimation for inhomogeneous spatial point processes with a regression model for the intensity function and tractable second-order properties (K-function). Regression parameters are estimated by using a Poisson likelihood score estimating function and in the second step minimum contrast estimation is applied for the residual clustering parameters. Asymptotic normality of parameter estimates is established under certain mixing conditions and we exemplify how the results may be applied in ecological studies of rainforests.

• Publisher: Oxford, UK : Blackwell Publishing Ltd,Blackwell Publishing,Blackwell Publishing Ltd,Blackwell,Royal Statistical Society,Oxford University Press
• Subject: Asymptotic normality / Cluster analysis / Clustering / Covariance / Covariance matrices / Ecological studies / Eigenvalues / Environmental impact studies / Estimating function / Estimating techniques / Estimation / Exact sciences and technology / Function / General topics / Inference from stochastic processes; time series analysis / Inhomogeneous point process / Intensity function / K-function / Log-Gaussian Cox process / Mathematical functions / Mathematical independent variables / Mathematical models / Mathematics / Minimum contrast estimation / mixing / Neyman-Scott point process / Normality / Parameter estimation / Parametric inference / Point estimators / Poisson distribution / Poisson process / Probability and statistics / Probability theory and stochastic processes / Property / Rain forest / rain forests / Rainforests / Regression analysis / Sciences and techniques of general use / Spatial points / Statistical methods / Statistics / Stochastic processes / Studies / Tropical forests / Tropical rain forests