Improving on Estimation for the Generalized Pareto Distribution

The generalized Pareto distribution (GPD) was widely used to model exceedances over thresholds. such as flood levels of rivers. Zhang and Stephens (2009) proposed a new estimation method for parameters of the GOD, which, based on the likelihood method and empirical BayeSian method. is free from the theoretical and computational problems suffered by traditional estimation approaches. In terms of estimation efficiency and bias, the new method outperforms other existing methods in common situations. but it may perform poorly tor very heavy-tailed distributions. The new method is modified in this article to significantly improve its adaptivity. This article has supplementary material online.