Moment Estimation for Statistics from Marked Point Processes

Autor:	Dimitris N. Politis, I. Michael Sherman
Rok vydání:	2001
Předmět:	Statistics and Probability Moment (mathematics) Data set Consistency (statistics) Estimation theory Statistics Estimator Point estimation Statistics Probability and Uncertainty Point process Realization (probability) Mathematics
Zdroj:	Journal of the Royal Statistical Society Series B: Statistical Methodology. 63:261-275
ISSN:	1467-9868 1369-7412
DOI:	10.1111/1467-9868.00284
Popis:	Summary 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 L 2-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.
Databáze:	OpenAIRE
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