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A New Class of Reduced-Bias Generalized Hill Estimators

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The estimation of the extreme value index (EVI) is a crucial task in the field of statistics of extremes, as it provides valuable insights into the tail behavior of a distribution. For models with a Pareto-type tail, the Hill estimator is a popular choice. However, this estimator is susceptible to bias, which can lead to inaccurate estimations of the EVI, impacting the reliability of risk assessments and decision-making processes. This paper introduces a novel reduced-bias generalized Hill estimator, which aims to enhance the accuracy of EVI estimation by mitigating the bias.

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UIDB/MAT/04674/2020. © 2024 by the authors. Licensee MDPI, Basel, Switzerland.

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asymptotic properties extreme value index generalized means Monte Carlo simulation reduced-bias estimators statistics of extremes Computer Science (miscellaneous) General Mathematics Engineering (miscellaneous)

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