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Bayes type estimators for the empty space function

Published online by Cambridge University Press:  01 July 2016

Martin B⊘gsted Hansen
Martin B⊘gsted Hansen*
Affiliation:
Aalborg University
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Extract

In the statistical analysis of random closed sets the distribution of the distance from a fixed point to the nearest point of the random set (the empty space function) is an important tool, and therefore development of efficient estimators is crucial.

Type
Stochastic Geometry and Statistical Applications
Information
Advances in Applied Probability , Volume 28 , Issue 2 , June 1996 , pp. 333
Copyright
Copyright © Applied Probability Trust 1996 

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References

Baddeley, A. J. and Gill, R. D. (1993) Kaplan–Meier estimators of interpoint distance distributions for spatial point processes. Research Report BS-R9315. Centrum voor Wiskunde en Informatica. (Submitted for publication).Google Scholar
Chiu, S. N. and Stoyan, D. (1994) Estimators of distance distributions for spatial patterns. Technical report. Freiberg University of Mining Technology. (Submitted for publication.)Google Scholar
Hansen, M. B., Baddeley, A. J. and Gill, R. D. (1996) Kaplan-Meier type estimators for linear contact distributions. Scand. J. Statist. (To appear.)Google Scholar
Hjort, N. L. (1990) Nonparametric Bayes estimators based on beta processes in models for life history data. Ann. Statist. 18, 1259–1294.Google Scholar