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Biometrika 1991 78(2):287-294; doi:10.1093/biomet/78.2.287
© 1991 by Biometrika Trust
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Censored distance-based intensity estimation of spatial point processes

DALE ZIMMERMAN

Department of Statistics and Actuarial Science, University of Iowa Iowa City, Iowa 52242, U.S.A.

The use of censoring in conjunction with distance-based estimation of the intensity of a spatial point process is considered. Censoring, in this context, may be motivated by practical considerations such as reduction of sampling effort, but it may also be considered as a method for preventing the overlap of search regions and for eliminating edge effects. Maximum likelihood estimators that utilize censored point-plant measurements or censored T-square measurements are obtained for the case of a homogeneous Poisson process, and some robust ‘compound’ estimators that utilize censored T-square measurements are proposed for more general use. The effect of sampling intensity on the performance of these estimators and their counterparts that utilize uncensored measurements is studied via simulation, with particular attention given to discovering under what circumstances it is advantageous to use censoring to deal with overlap and edge effects.

Key Words: Distance method • Poisson point process • Spatial censoring • Spatial point pattern


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