ON THE ESTIMATION OF DISTANCE DISTRIBUTION FUNCTIONS FOR POINT PROCESSES AND RANDOM SETS

Authors

  • Dietrich Stoyan
  • Helga Stoyan
  • André Tscheschel
  • Torsten Mattfeldt

DOI:

https://doi.org/10.5566/ias.v20.p65-69

Keywords:

contact distribution, Horvitz-Thompson, estimator, minus-sampling, nearest neighbour distance distribution

Abstract

This paper discusses various estimators for the nearest neighbour distance distribution function D of a stationary point process and for the quadratic contact distribution function Hq of a stationary random closed set. It recommends the use of Hanisch's estimator of D, which is of Horvitz-Thompson type, and the minussampling estimator of Hq. This recommendation is based on simulations for Poisson processes and Boolean models.

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Published

2011-05-03

Issue

Vol. 20 No. 1 (2001)

Section

Original Research Paper

How to Cite

Stoyan, D., Stoyan, H., Tscheschel, A., & Mattfeldt, T. (2011). ON THE ESTIMATION OF DISTANCE DISTRIBUTION FUNCTIONS FOR POINT PROCESSES AND RANDOM SETS. Image Analysis and Stereology, 20(1), 65-69. https://doi.org/10.5566/ias.v20.p65-69

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