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Almost sure convergence of the Hill estimator

Paul Deheuvels, Erich Haeusler, David M. Mason

Source record

Source: Crossref

Published: Sep 1, 1988

DOI: 10.1017/s0305004100065531

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Source abstract

Abstract In this note we characterize those sequences k n such that the Hill estimator of the tail index based on the k n upper order statistics of a sample of size n from a Pareto-type distribution is strongly consistent.

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Almost sure convergence of the Hill estimator — Mathematical Frontier Network