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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