Moment estimation for statistics from marked point processes
Date
2001Author
Politis, Dimitris NicolasSherman, M.
ISSN
1369-7412Source
Journal of the Royal Statistical Society.Series B: Statistical MethodologyVolume
63Issue
2Pages
261-275Google Scholar check
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Show full item recordAbstract
In spatial statistics the data typically consist of measurements of some quantity at irregularly scattered locations in other words, the data form a realization of a marked point process. In this paper, we formulate subsampling estimators of the moments of general statistics computed from marked point process data, and we establish their L2-consistency. The variance estimator in particular can be used for the construction of confidence intervals for estimated parameters. A practical data-based method for choosing a subsampling parameter is given and illustrated on a data set. Finite sample simulation examples are also presented.