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Bootstrap and Moment Estimator of the Tail Index γ

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23420%2F20%3A43960015" target="_blank" >RIV/49777513:23420/20:43960015 - isvavai.cz</a>

  • Result on the web

    <a href="http://hdl.handle.net/11025/42939" target="_blank" >http://hdl.handle.net/11025/42939</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Bootstrap and Moment Estimator of the Tail Index γ

  • Original language description

    One of the major interests in extreme-value statistics is to infer the tail properties of the distribution functions in the domains of attraction of an extreme-value distribution and predict rare events. There is the primary problem to find the estimation of the tail index usually performed on the basis of the largest k order statistics in the sample. The question that has been often solved in applications of extreme value theory is the choice of k or an estimation of . We shall be here mainly interested in the use of the bootstrap methodology to estimate Extreme Value Index (EVI) . We study and compute general case of this tail index . We shall also compare, through Monte Carlo simulation, these bootstrap methodologies with other data - driven choices of the optimal sample fraction.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10103 - Statistics and probability

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2020

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Aplimat 2020 proceedings : 19th conference on applied mathematics

  • ISBN

    978-80-227-4983-1

  • ISSN

    2340-1117

  • e-ISSN

  • Number of pages

    13

  • Pages from-to

    666-678

  • Publisher name

    Slovak University of Technology in Bratislava

  • Place of publication

    Bratislava

  • Event location

    Bratislava

  • Event date

    Feb 4, 2020

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article