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Maximum likelihood estimation of Gutenberg-Richterb parameter for uncertain magnitude values

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Abstract

The maximum likelihood estimation of theb parameter in the Gutenberg-Richter relation is extended to the case of uncertain magnitude. An interval which contains the real unknown magnitude is used rather than the uncertain magnitude itself. The proposed approach is very flexible, it allows for the combination of the parts of a catalog of different quality into a single minimally biased set of recurrence parameters.

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On leave from the Institute of Geophysics, Polish Academy of Sciences, 00-973 Warsaw, Pasteura 3, Poland

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Kijko, A. Maximum likelihood estimation of Gutenberg-Richterb parameter for uncertain magnitude values. PAGEOPH 127, 573–579 (1988). https://doi.org/10.1007/BF00881745

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Key words

  • b value
  • magnitude uncertainties