On estimating the reduced second moment measure of a stationary spatial point process

A. G. Chetwynd, P. J. Diggle

Research output: Contribution to journalArticlepeer-review

Abstract

A method is proposed for estimating the covariance structure of a nonparametric estimator for the reduced second moment measure, K(s), of a homogeneous planar Poisson process. The method relies on the invariance of the reduced second moment measure to random thinning, and the known covariance structure of the estimator under random sampling from a fixed set of points. The possible extension of the method to stationary Cox processes is discussed.

Original languageEnglish (US)
Pages (from-to)11-15
Number of pages5
JournalAustralian and New Zealand Journal of Statistics
Volume40
Issue number1
StatePublished - Mar 1998
Externally publishedYes

Keywords

  • Point process
  • Second-order analysis
  • Spatial statistics
  • Variance of estimation

ASJC Scopus subject areas

  • Statistics and Probability

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