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Joint Institute of the Physics of the Earth Russian Academy of Sciences, Bolshaya Gruzinskaya 10, 123242 Moscow, Russia
International Institute of Earthquake Prediction Theory and Mathematical GeophysicsRussian Academy of Sciences, Warshavskoe shosse 79, korp. 2, 113556 Moscow, Russia
Abstract
The problem of statistical estimation of earthquake hazard parameters is considered. The emphasis is on estimation of the maximum regional magnitude, Mmax, and the maximum magnitude, Mmax(T), in a future time interval T and quantiles of its distribution. Two estimators are suggested: an unbiased estimator with the lowest possible variance and a Bayesian estimator. As an illustration, these methods are applied for the estimation of Mmax and related parameters in California and Italy.
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