Year: 2008
Type: article
Abstract: Summary The paper introduces a new approach to estimate the variance of statistics that are computed from an inhomogeneous spatial point process. The approach proposed is based on the assumption that the observed point process can be thinned to be a second-order stationary point process, where the thinning probability depends only on the first-order intensity function of the (unthinned) original process. The resulting variance estimator is proved to be asymptotically consistent for the target parameter under some very mild conditions. The use of the approach proposed is demonstrated in two important applications of modelling inhomogeneous spatial point processes: residual diagnostics of a fitted model and inference on the unknown regression coefficients. A simulation study and an application to a real data example are used to demonstrate the efficacy of the approach proposed.
Author: Yongtao Guan
Institution: Yale University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Awards: G1198279745, LTREB: Long-Term Studies of Seedling and Small Sapling Community Dynamics in a Neotropical Forest, What Causes Large Local-Scale Variation in Tree Diversity in a Neotropical Forest? An Experimental Approach, Habitat Variation in the Demography and Life History of Tropical Trees, G3772627221, Dynamics of a Neotropical Forest: The First Decade, Demographic Analysis of a Tropical Forest in Panama, The Structure and Dynamics of a Tropical Forest, G6242140455, The Neutral Theory of Biodiversity and Biogeography: "New Theoretical Approaches", The Dynamics of a Neotropical Forest: The 1995 Recensus Including Seedling and Small Sapling Populations, The Dynamics of a Neotropical Forest: the 2005 Recensus and the Annual Seedling and Small Sapling Census, Theoretical and Empirical Studies of Seed and Pollen Dispersal in Tropical Trees, Impact of Logging on the Demography and Population Genetics of Mahogany in Bolivia
OpenAlex ID: W1501615267