A New Class of Reduced-Bias Generalized Hill Estimators.

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Title: A New Class of Reduced-Bias Generalized Hill Estimators.
Authors: Henriques-Rodrigues, Lígia1 (AUTHOR) ligiahr@uevora.pt, Caeiro, Frederico2 (AUTHOR) fac@fct.unl.pt, Gomes, M. Ivette3 (AUTHOR) migomes@ciencias.ulisboa.pt
Source: Mathematics (2227-7390). Sep2024, Vol. 12 Issue 18, p2866. 18p.
Subject Terms: *MONTE Carlo method, *EXTREME value theory, *ESTIMATION bias, *VALUATION of real property, *RISK assessment
Abstract: 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. [ABSTRACT FROM AUTHOR]
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  Data: A New Class of Reduced-Bias Generalized Hill Estimators.
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  Data: *<searchLink fieldCode="DE" term="%22MONTE+Carlo+method%22">MONTE Carlo method</searchLink><br />*<searchLink fieldCode="DE" term="%22EXTREME+value+theory%22">EXTREME value theory</searchLink><br />*<searchLink fieldCode="DE" term="%22ESTIMATION+bias%22">ESTIMATION bias</searchLink><br />*<searchLink fieldCode="DE" term="%22VALUATION+of+real+property%22">VALUATION of real property</searchLink><br />*<searchLink fieldCode="DE" term="%22RISK+assessment%22">RISK assessment</searchLink>
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  Data: 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. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Mathematics (2227-7390) is the property of MDPI and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.3390/math12182866
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      – Code: eng
        Text: English
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      – SubjectFull: MONTE Carlo method
        Type: general
      – SubjectFull: EXTREME value theory
        Type: general
      – SubjectFull: ESTIMATION bias
        Type: general
      – SubjectFull: VALUATION of real property
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      – SubjectFull: RISK assessment
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              Text: Sep2024
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