Estimation of summary characteristics from replicated spatial point processes

Zbyněk Pawlas

Kybernetika (2011)

  • Volume: 47, Issue: 6, page 880-892
  • ISSN: 0023-5954

Abstract

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Summary characteristics play an important role in the analysis of spatial point processes. We discuss various approaches to estimating summary characteristics from replicated observations of a stationary point process. The estimators are compared with respect to their integrated squared error. Simulations for three basic types of point processes help to indicate the best way of pooling the subwindow estimators. The most appropriate way depends on the particular summary characteristic, edge-correction method and also on the type of point process. The methods are demonstrated on a replicated dataset from forestry.

How to cite

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Pawlas, Zbyněk. "Estimation of summary characteristics from replicated spatial point processes." Kybernetika 47.6 (2011): 880-892. <http://eudml.org/doc/197263>.

@article{Pawlas2011,
abstract = {Summary characteristics play an important role in the analysis of spatial point processes. We discuss various approaches to estimating summary characteristics from replicated observations of a stationary point process. The estimators are compared with respect to their integrated squared error. Simulations for three basic types of point processes help to indicate the best way of pooling the subwindow estimators. The most appropriate way depends on the particular summary characteristic, edge-correction method and also on the type of point process. The methods are demonstrated on a replicated dataset from forestry.},
author = {Pawlas, Zbyněk},
journal = {Kybernetika},
keywords = {$K$-function; nearest-neighbour distance distribution function; non-parametric estimation; point process; replication; replication; pooling; edge correction; nonparametric estimation},
language = {eng},
number = {6},
pages = {880-892},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Estimation of summary characteristics from replicated spatial point processes},
url = {http://eudml.org/doc/197263},
volume = {47},
year = {2011},
}

TY - JOUR
AU - Pawlas, Zbyněk
TI - Estimation of summary characteristics from replicated spatial point processes
JO - Kybernetika
PY - 2011
PB - Institute of Information Theory and Automation AS CR
VL - 47
IS - 6
SP - 880
EP - 892
AB - Summary characteristics play an important role in the analysis of spatial point processes. We discuss various approaches to estimating summary characteristics from replicated observations of a stationary point process. The estimators are compared with respect to their integrated squared error. Simulations for three basic types of point processes help to indicate the best way of pooling the subwindow estimators. The most appropriate way depends on the particular summary characteristic, edge-correction method and also on the type of point process. The methods are demonstrated on a replicated dataset from forestry.
LA - eng
KW - $K$-function; nearest-neighbour distance distribution function; non-parametric estimation; point process; replication; replication; pooling; edge correction; nonparametric estimation
UR - http://eudml.org/doc/197263
ER -

References

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