Subsampling Extremes: From Block Maxima to Smooth Tail Estimation
Methodology
2015-03-20 v5 Statistics Theory
Statistics Theory
Abstract
We study a new estimator for the tail index of a distribution in the Frechet domain of attraction that arises naturally by computing subsample maxima. This estimator is equivalent to taking a U-statistic over a Hill estimator with two order statistics. The estimator presents multiple advantages over the Hill estimator. In particular, it has asymptotically smooth sample paths as a function of the threshold k, making it considerably more stable than the Hill estimator. The estimator also admits a simple and intuitive threshold selection rule that does not require fitting a second-order model. Journal of Multivariate Analysis, 130, 2014
Cite
@article{arxiv.1204.0316,
title = {Subsampling Extremes: From Block Maxima to Smooth Tail Estimation},
author = {Stefan Wager},
journal= {arXiv preprint arXiv:1204.0316},
year = {2015}
}
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