TY - JOUR
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 - 2008/8/15
Y1 - 2008/8/15
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.
UR - http://www.scopus.com/inward/record.url?scp=47749124550&partnerID=8YFLogxK
U2 - 10.1016/j.csda.2008.05.012
DO - 10.1016/j.csda.2008.05.012
M3 - 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 -