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Random distances and edge correction 

Author: Jan Rataj a
Affiliation:   a Charles University, Prague
DOI: 10.1080/02331888308802425
Publication Frequency: 6 issues per year
Published in: journal Statistics, Volume 24, Issue 4 1993 , pages 377 - 385
Formats available: PDF (English)
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Abstract

Two classes of random distances (generated as contact distances or free path lengths) external to a stationary random closed set in Euclidean space are introduced. The censored distance distributions within bounded region are obtained. Unbiased estimators of the random distance distribution functions using only the information from inside the bounded region are constructed.
Keywords: Contact distribution function; edge effect; free path; random distance; random closed set
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