A goodness-of-fit test for inhomogeneous spatial Poisson processes

• 成果类型: Article
• 署名作者: Guan, Yongtao
• 署名单位: Yale University
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/asn045
• 发表日期: 2008
• 页码: 831845
• 关键词: residual analysis; point; models

摘要

We introduce a formal testing procedure to assess the fit of an inhomogeneous spatial Poisson process model, based on a discrepancy measure function Dc( t; theta) that is constructed from residuals obtained from the fitted model. We derive the asymptotic distributional properties of Dc( t; theta) and develop a test statistic based on them. Our test statistic has a limiting standard normal distribution, so that the test can be performed by simply comparing the test statistic with readily available critical values. We perform a simulation study to assess the performance of the proposed method and apply it to a real data example.