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Second‐order diagnostics for space‐time point processes with application to seismic events
Author(s) -
Adelfio Giada,
Chiodi Marcello
Publication year - 2009
Publication title -
environmetrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.68
H-Index - 58
eISSN - 1099-095X
pISSN - 1180-4009
DOI - 10.1002/env.961
Subject(s) - point process , fractal , point (geometry) , range (aeronautics) , process (computing) , goodness of fit , computer science , space (punctuation) , data mining , algorithm , statistics , mathematics , mathematical analysis , geometry , engineering , aerospace engineering , operating system
A diagnostic method for space‐time point process is introduced and used to interpret and assess the goodness of fit of particular models to real data such as the seismic ones. The proposed method is founded on the definition of a weighted process and allows to detect second‐order features of data, like long‐range dependence and fractal behavior, that are not accounted for by the fitted model. Applications to earthquake data are provided. Copyright © 2008 John Wiley & Sons, Ltd.