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Some examples of statistical estimation applied to earthquake data

I. Cyclic Poisson and self-exciting models

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Abstract

Likelihood methods are described for fitting cyclic Poisson and Hawkes' self-exciting models to Kawasumi's historical earthquake series and to more recent data supplied by the Japan Meteorological Agency. Identification of the model is discussed from the standpoint of an entropy maximization principle. The cyclic effect is shown to be not statistically significant after clustering has been allowed for; its physical significance therefore remains questionable.

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Vere-Jones, D., Ozaki, T. Some examples of statistical estimation applied to earthquake data. Ann Inst Stat Math 34, 189–207 (1982). https://doi.org/10.1007/BF02481022

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