More statistical tools for maximum possible earthquake magnitude estimation.

In this paper, we introduce additional statistical tools for estimating the maximum regional earthquake magnitude, $$ m_{\max} $$ , 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. [ABSTRACT FROM AUTHOR]