Estimating Second-Order Characteristics of Inhomogeneous Spatio-Temporal Point Processes

Edith Gabriel ()
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Edith Gabriel: Avignon University

Methodology and Computing in Applied Probability, 2014, vol. 16, issue 2, 411-431

Abstract: Abstract Non-parametric estimates of the K-function and the pair correlation function play a fundamental role for exploratory and explanatory analysis of spatial and spatio-temporal point patterns. These estimates usually require information from outside of the study region, resulting to the so-called edge effects which have to be corrected. They also depend on first-order characteristics, which have to be estimated in practice. In this paper, we extend classical edge correction methods to the spatio-temporal setting and compare the performance of the related estimators for stationary/non-stationary and/or isotropic/anisotropic point patterns. Further, we explore the influence of the estimated intensity function on these estimators.

Keywords: Edge correction; Intensity estimation; Point process; Reduced second moment measure; Spatio-temporal data; 60G55; 62M30 (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s11009-013-9358-3

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