Recently, interest in the application of nonextensive models to the earthquake cumulative magnitude distribution (ECMD) has been increasing. Nonextensivity in seismicity leads to a new form of the cumulative distribution of earthquake magnitudes, of which the Gutenberg–Richter law can be considered as a particular case. The present study deals with the mathematical problem of estimation of the nonextensive parameters of the ECMD by means of the maximum likelihood method.

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