ON THE ESTIMATION OF DISTANCE DISTRIBUTION FUNCTIONS FOR POINT PROCESSES AND RANDOM SETS
Open Access
- 1 March 2001
- journal article
- Published by Slovenian Society for Stereology and Quantitative Image Analysis in Image Analysis and Stereology
- Vol. 20 (1) , 65-69
- https://doi.org/10.5566/ias.v20.p65-69
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.Keywords
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