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Two-step estimation for inhomogeneous spatial point processes. (English) Zbl 1250.62047
Summary: This 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 the parameter estimates is established under certain mixing conditions and we exemplify how the results may be applied in ecological studies of rainforests.

MSC:
62M30 Inference from spatial processes
62M09 Non-Markovian processes: estimation
62F12 Asymptotic properties of parametric estimators
62M10 Time series, auto-correlation, regression, etc. in statistics (GARCH)
62P12 Applications of statistics to environmental and related topics
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