Testing the weak stationarity of a spatio-temporal point process

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Abstract

A common assumption in analyzing spatial and spatio-temporal point processes is stationarity, while in many real applications because of the environmental effects the stationarity condition is not often met. We propose two types of test statistics to test stationarity for spatio-temporal point processes, by adapting, Palahi, Pukkala & Mateu (2009) and by considering the square difference between observed and expected (under stationarity) intensities. We study the efficiency of the new statistics by simulated data, and we apply them to test the stationarity of real data.
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A common assumption in analyzing spatial and spatio-temporal point processes is stationarity, while in many real applications because of the environmental effects the stationarity condition is not often met. We propose two types of test statistics to test stationarity for spatio-temporal point processes, by adapting, Palahi, Pukkala & Mateu (2009) and by considering the square difference between observed and expected (under stationarity) intensities. We study the efficiency of the new statistics by simulated data, and we apply them to test the stationarity of real data.
Original languageEnglish
JournalStochastic Environmental Research and Risk Assessment
Volume27
Issue number2
Pages (from-to)517-524
Number of pages8
ISSN1436-3240
DOI
StatePublished - Feb 2013
Publication categoryResearch
Peer-reviewedYes
ID: 72605580