Department of Mathematics
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.
Source Publication Title
Computational Statistics and Data Analysis
Copyright © 2008 Elsevier B.V. All rights reserved.
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.
Link to Publisher's Edition
Tscheschel, André, and Sung Nok Chiu. "Quasi-plus sampling edge correction for spatial point patterns." Computational Statistics and Data Analysis 12.52 (2008): 5287-5295.