Statistical reconstruction of random point patterns

A. Tscheschel*, D. Stoyan

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

50 Citations (Scopus)

Abstract

A general reconstruction method is described which simulates point patterns possessing prescribed summary characteristics, which are free of explicit model conditions. The characteristics are for instance the intensity, the L-function, the spherical contact distribution function and the kth nearest neighbour distance distributions. The use of the statistical reconstruction method is demonstrated on both a theoretical and practical example.

Original languageEnglish
Pages (from-to)859-871
Number of pages13
JournalComputational Statistics and Data Analysis
Volume51
Issue number2
DOIs
Publication statusPublished - 15 Nov 2006
Externally publishedYes

Scopus Subject Areas

  • Statistics and Probability
  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Conditional simulation
  • kth Nearest neighbour distance distribution
  • L-Function
  • Spherical contact distribution
  • Reconstruction
  • Point process

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