DMCA
Moment Estimation for Statistics From Marked Point Processes
| Citations: | 11 - 0 self |
BibTeX
@MISC{Politis_momentestimation,
author = {Dimitris N. Politis and Michael Sherman},
title = {Moment Estimation for Statistics From Marked Point Processes},
year = {}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
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 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 of choosing a subsampling parameter is given and illustrated on a data set. Finite-sample simulation examples are also presented. AMS 1980 subject classifications: primary 62M20; secondary 62G05.
