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Two-step estimation for inhomogeneous spatial point processes |
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| Authors: | Rasmus Waagepetersen Yongtao Guan |
| Institution: | Aalborg University, Denmark; Yale University, New Haven, USA |
| Abstract: | Summary. 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. |
| Keywords: | Asymptotic normality Clustering Estimating function Inhomogeneous point process Intensity function K-function Log-Gaussian Cox process Minimum contrast estimation Neyman–Scott point process |