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Comparison of Parametric and Nonparametric Estimates of Extreme Value Distribution

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F13%3APU105190" target="_blank" >RIV/00216305:26210/13:PU105190 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Comparison of Parametric and Nonparametric Estimates of Extreme Value Distribution

  • Original language description

    The presented paper is focused on comparison of different approaches to estimation of parameters of extreme value distributions. The commonly used parametric methods are compared with several nonparametric approaches, and properties of the estimates arediscussed. The parametric inference is based on the partial duration series method and the generalized Pareto distribution. Unknown parameters of the distribution are estimated using the maximum likelihood method, and the method of probability weighted moments, which are often used in hydrology. The nonparametric inference is based on results presented by Gomes and Oliveira (see [1]), and the tail index of the extreme value distribution is estimated using the bootstrap methodology. The performance of estimators is compared using real and simulated data. The real data consists of historical rainfall series in the form of rainfall intensities from six stations operated by the Czech Hydrometeorological Institute in South Moravian Region in

  • Czech name

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2013

  • Confidentiality

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