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Thinnings of point processes and their use in the statistical analysis of a settlement pattern with deserted tillages
Author:
D. Stoyan a
| Affiliation: | a Sektion Mathematik, Bergakademic Freiberg, Bernhard-von-Cotta-Stir.2, DDR, DDR |
DOI:
10.1080/02331888808802069
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
Formats available:
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(English)
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Abstract
This paper presents a statistical analysis of a settlement pattern with deserted villages by means of ideas of point process statistics. For a generalized hard-core model which bases on a dependent thinning of a stationary Poisson process, formulae for intensity
and second-order product-density are given. It is shown that this model enables a rough approximation of the settlement pattern and of the |
| Keywords: Point process; thinning; soft-core model; bivariate pattern; geographical data |
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