Skjong, M.; Naess, A., and Brandrud Næss, O.E., 2013. Statistics of extreme sea levels for locations along the Norwegian coast.

The focus of this article is the problem of estimating long return-period sea levels for locations along the Norwegian coast. For this purpose, a new method for estimating the extreme-value statistics associated with a recorded time series of data is applied. This method, briefly referred to as the Average Conditional Exceedance Rate or ACER method, is presented in some detail. The ACER method provides a statistical representation with error bounds of the actual extreme-value distribution given by the data and is applicable to nonstationary time series as well. The estimated return-level values obtained by the ACER method are compared with the corresponding values obtained by the annual maxima method, the peaks-over-threshold method, and the revised joint-probabilities method. Based on overall performance, the ACER method may be the preferred choice over the other three methods tested.