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Tail product-limit process for truncated data with application to extreme value index estimation

Published 6 Jul 2015 in math.ST and stat.TH | (1507.01548v1)

Abstract: A weighted Gaussian approximation to tail product-limit process for Pareto-like distributions of randomly right-truncated data is provided and a new consistent and asymptotically normal estimator of the extreme value index is derived. A simulation study is carried out to evaluate the finite sample behavior of the proposed estimator.

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