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On the central limit theorem for the stationary Poisson process of compact sets

✍ Scribed by Zbyněk Pawlas; Viktor Beneš

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
214 KB
Volume
267
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Stochastic geometry models based on a stationary Poisson point process of compact subsets of the Euclidean space are examined. Random measures on ℝ^d^, derived from these processes using Hausdorff and projection measures are studied. The central limit theorem is formulated in a way which enables comparison of the various estimators of the intensity of the produced random measures. Approximate confidence intervals for the intensity are constructed. Their use is demonstrated in an example of length intensity estimation for the segment processes. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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