Globally intensity‐reweighted estimators for K ‐ and pair correlation functions

  title={Globally intensity‐reweighted estimators for
 ‐ and pair correlation functions},
  author={Thomas Shaw and Jesper M⊘ller and Rasmus Waagepetersen},
  journal={arXiv: Methodology},
We introduce new estimators of the inhomogeneous $K$-function and the pair correlation function of a spatial point process as well as the cross $K$-function and the cross pair correlation function of a bivariate spatial point process under the assumption of second-order intensity-reweighted stationarity. These estimators rely on a 'global' normalization factor which depends on an aggregation of the intensity function, whilst the existing estimators depend 'locally' on the intensity function at… Expand
Second order semi-parametric inference for multivariate log Gaussian Cox processes.
This paper introduces a new approach to inferring the second order properties of a multivariate log Gaussian Cox process (LGCP) with a complex intensity function. We assume a semi-parametric modelExpand
A Festschrift for Adrian Baddeley
  • Martin L. Hazelton, R. Turner
  • Mathematics
  • Australian & New Zealand Journal of Statistics
  • 2021


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