Heinrich, Lothar; Klein, Stella - In: Statistical Inference for Stochastic Processes 17 (2014) 2, pp. 121-138
We prove the asymptotic normality of kernel estimators of second- and higher-order product densities (and of the pair correlation function) for spatially homogeneous (and isotropic) point processes observed on a sampling window <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$W_n$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <msub> <mi>W</mi> <mi>n</mi> </msub> </math> </EquationSource> </InlineEquation>, which is assumed to expand unboundedly in all...</equationsource></equationsource></inlineequation>