Quasi-plus sampling edge correction for spatial point patterns

André Tscheschel; Sung Nok Chiu

doi:10.1016/j.csda.2008.05.012

Quasi-plus sampling edge correction for spatial point patterns

André Tscheschel, Sung Nok Chiu^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

4 Citations (Scopus)

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Abstract

A widely applicable edge correction method for estimating summary statistics of a spatial point pattern is proposed. We reconstruct point patterns in a larger region containing the sampling window by matching sampled and simulated kth nearest neighbour distance distributions of the given pattern and then apply plus sampling. Simulation studies show that this approach, called quasi-plus sampling, gives estimates with smaller root mean squared errors than estimates obtained by using other popular edge corrections. We apply the proposed approach to real data and yield an estimate of a summary statistic that is more plausible than that obtained by a popular edge correction.

Original language	English
Pages (from-to)	5287-5295
Number of pages	9
Journal	Computational Statistics and Data Analysis
Volume	52
Issue number	12
Early online date	22 May 2008
DOIs	https://doi.org/10.1016/j.csda.2008.05.012
Publication status	Published - Aug 2008

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title = "Quasi-plus sampling edge correction for spatial point patterns",

abstract = "A widely applicable edge correction method for estimating summary statistics of a spatial point pattern is proposed. We reconstruct point patterns in a larger region containing the sampling window by matching sampled and simulated kth nearest neighbour distance distributions of the given pattern and then apply plus sampling. Simulation studies show that this approach, called quasi-plus sampling, gives estimates with smaller root mean squared errors than estimates obtained by using other popular edge corrections. We apply the proposed approach to real data and yield an estimate of a summary statistic that is more plausible than that obtained by a popular edge correction.",

author = "Andr{\'e} Tscheschel and Chiu, {Sung Nok}",

note = "Funding Information: This research was partially supported by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project Numbers HKBU2048/02P and HKBU200503) and an FRG grant of the Hong Kong Baptist University. We thank Arne Pommerening for providing the data studied in Section 6 and the referees for their valuable suggestions.",

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T1 - Quasi-plus sampling edge correction for spatial point patterns

AU - Tscheschel, André

AU - Chiu, Sung Nok

N1 - Funding Information: This research was partially supported by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project Numbers HKBU2048/02P and HKBU200503) and an FRG grant of the Hong Kong Baptist University. We thank Arne Pommerening for providing the data studied in Section 6 and the referees for their valuable suggestions.

PY - 2008/8

Y1 - 2008/8

N2 - A widely applicable edge correction method for estimating summary statistics of a spatial point pattern is proposed. We reconstruct point patterns in a larger region containing the sampling window by matching sampled and simulated kth nearest neighbour distance distributions of the given pattern and then apply plus sampling. Simulation studies show that this approach, called quasi-plus sampling, gives estimates with smaller root mean squared errors than estimates obtained by using other popular edge corrections. We apply the proposed approach to real data and yield an estimate of a summary statistic that is more plausible than that obtained by a popular edge correction.

AB - A widely applicable edge correction method for estimating summary statistics of a spatial point pattern is proposed. We reconstruct point patterns in a larger region containing the sampling window by matching sampled and simulated kth nearest neighbour distance distributions of the given pattern and then apply plus sampling. Simulation studies show that this approach, called quasi-plus sampling, gives estimates with smaller root mean squared errors than estimates obtained by using other popular edge corrections. We apply the proposed approach to real data and yield an estimate of a summary statistic that is more plausible than that obtained by a popular edge correction.

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U2 - 10.1016/j.csda.2008.05.012

DO - 10.1016/j.csda.2008.05.012

M3 - Journal article

AN - SCOPUS:47749124550

SN - 0167-9473

VL - 52

SP - 5287

EP - 5295

JO - Computational Statistics and Data Analysis

JF - Computational Statistics and Data Analysis

IS - 12

ER -

Quasi-plus sampling edge correction for spatial point patterns

Abstract

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