A note on the higher moments of the Euler characteristic of the excursion sets of random fields

DOI10.1016/j.spl.2008.12.013zbMath1175.60051OpenAlexW2062676229MaRDI QIDQ1012108

Ali Reza Taheriyoun, Khalil Shafie, Mohammad Jafari Jozani

Publication date: 14 April 2009

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2008.12.013

zbMATH Keywords

\(N\)-dimensional homogeneous real-valued random fieldaxcursion set of \(X({\mathbf t})\) above the level \(u\) in \(S\)Euler characteristic (EC) of the excursion sethigher moments of (EC).

Mathematics Subject Classification ID

Random fields (60G60)

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Cites Work

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• Level crossings for random fields
• The detection of local shape changes via the geometry of Hotelling's \(T^2\) fields
• Local Maxima and the Expected Euler Characteristic of Excursion Sets of χ ², F and t Fields
• Random Fields and Geometry