Journal ArticleDOI
Estimating Second-Order Characteristics of Inhomogeneous Spatio-Temporal Point Processes
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In this article, the authors 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.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.read more
Citations
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Journal ArticleDOI
stpp: An R Package for Plotting, Simulating and Analyzing Spatio-Temporal Point Patterns
TL;DR: This paper describes space-time point processes and introduces the package stpp to new users, the first dedicated unified computational environment in the area of spatio-temporal point processes.
Journal ArticleDOI
Spatio-temporal point process statistics : a review
TL;DR: In this paper, the inherent mechanisms that govern the temporal evolution of events are analyzed in spatio-temporal point process data, with the aim of better understanding the inherent mechanism that governs temporal evolution.
Journal ArticleDOI
Accelerating the discovery of space-time patterns of infectious diseases using parallel computing.
TL;DR: This work develops an adaptive space-time domain decomposition approach for parallel computation of the space- time kernel density and applies it to individual reported dengue cases from 2010 to 2011 in the city of Cali, Colombia.
Journal ArticleDOI
First- and Second-Order Characteristics of Spatio-Temporal Point Processes on Linear Networks
Mehdi Moradi,Jorge Mateu +1 more
TL;DR: A nonparametric kernel-based intensity estimator is proposed to highlight the concentration of events within the network and time, either jointly or separately, in spatio-temporal point patterns when the spatial locations are restricted to a linear network.
Journal ArticleDOI
Optimizing and accelerating space–time Ripley ’s K function based on Apache Spark for distributed spatiotemporal point pattern analysis
TL;DR: A distributed computing method to accelerate space–time Ripley’s K function upon state-of-the-art distributed computing framework Apache Spark is presented, and four strategies are adopted to simplify calculation procedures and accelerate distributed computing respectively.
References
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