## JMI2012A-6 Towards statistical modeling of tsunami occurrence with regional frequency analysis (pp.41-48)

Author(s)： Jonathan R. M. Hosking

J. Math-for-Ind. 4A (2012) 41-48.

This is an invited paper presented at the Forum "Math-for-Industry" 2011.

Abstract
Regional frequency analysis is a statistical method for frequency estimation of extreme environmental events. Data for several sites are combined to improve the estimates of event frequencies at any one site. The computations are typically based on $L$-moments, which are summary statistics that have good properties of efficiency and robustness for describing data from heavy-tailed probability distributions. We summarize this work and apply it to a worldwide data set of historical records of tsunami magnitudes, obtaining estimates of the frequency distribution of tsunami runup height for essentially any location in the Pacific basin with exposure to tsunami events. The results have potential application to risk estimation and design of structures in tsunami-prone locations.

Keyword(s).　 extreme values, frequency estimation, $L$-moments, rare events, runup height