Two-step estimation for inhomogeneous spatial point processes

• 成果类型: Article
• 署名作者: Waagepetersen, Rasmus; Guan, Yongtao
• 署名单位: Aalborg University; Yale University
• 刊物名称: JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY
• ISSN/ISSBN: 1369-7412
• DOI: 10.1111/j.1467-9868.2008.00702.x
• 发表日期: 2009
• 页码: 685-702
• 关键词: noise cox processes; inference; patterns; forest

摘要

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.