In this paper, we introduce additional statistical tools for estimating the maximum regional earthquake magnitude, mmax, as complement to those already introduced by Kijko and Singh (Acta Geophys. 59(4):674– 700, 2011). Four new methods are introduced and investigated, with regard to their applicability and performance. We present an example of application and a comparison that includes the methods introduced earlier by the previous authors. A condition for the existence of the Tate– Pisarenko estimate and a proof of the asymptotic equivalence of the Tate–Pisarenko and Kijko–Sellevoll estimates are presented in the two appendices
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Several procedures for the statistical estimation of the regioncharacteristic maximum possible earthquake magnitude, mmax , are currently available. This paper aims to introduce and compare the 12 existing procedures. For each of the procedures given, there are notes on its origin, assumptions made in its derivation, condition for validity, weak and strong points, etc. The applicability of each particular procedure is determined by the assumptions of the model and/or the available information on seismicity of the area.
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