<> "The repository administrator has not yet configured an RDF license."^^ . <> . . . "Quasi-hidden Markov model and its applications in cluster analysis of earthquake catalogs"^^ . "We identify a broad class of models, quasi ‐ hidden Markov models (QHMMs), which\ninclude hidden Markov models (HMMs) as special cases. Applying the QHMM\nframework, this paper studies how an earthquake cluster propagates statistically. Two\nQHMMs are used to describe two different propagating patterns. The “mother ‐ and ‐ kids”\nmodel regards the first shock in an earthquake cluster as “mother” and the aftershocks\nas “kids,” which occur in a neighborhood centered by the mother. In the “domino” model,\nhowever, the next aftershock strikes in a neighborhood centered by the most recent\nprevious earthquake in the cluster, and therefore aftershocks act like dominoes. As the\nlikelihood of QHMMs can be efficiently computed via the forward algorithm, likelihood ‐\nbased model selection criteria can be calculated to compare these two models. We\ndemonstrate this procedure using data from the central New Zealand region. For this data\nset, the mother ‐ and ‐ kids model yields a higher likelihood as well as smaller AIC and\nBIC. In other words, in the aforementioned area the next aftershock is more likely to occur\nnear the first shock than near the latest aftershock in the cluster. This provides an answer,\nthough not entirely satisfactorily, to the question “where will the next aftershock be?” .\nThe asymptotic consistency of the model selection procedure in the paper is duly\nestablished, namely that, when the number of the observations goes to infinity, with\nprobability one the procedure picks out the model with the smaller deviation from the true\nmodel (in terms of relative entropy rate)."^^ . "2011-12-24" . . "116" . "B12" . . "American Geophysical Union"^^ . . . "Journal of Geophysical Research"^^ . . . "01480227" . . . . . . . "Zhengxiao"^^ . "Wu"^^ . "Zhengxiao Wu"^^ . . "Department of Statistics and Applied Probability, National University of Singapore, Singapore"^^ . . . . . . "HTML Summary of #1278 \n\nQuasi-hidden Markov model and its applications in cluster analysis of earthquake catalogs\n\n" . "text/html" . . . "Clustering and migration" . .