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Modified Power Divergence Estimators and Their Performances in Normal Models

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F10%3A00176191" target="_blank" >RIV/68407700:21340/10:00176191 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Modified Power Divergence Estimators and Their Performances in Normal Models

  • Original language description

    As was already mentioned in many publications, the well known information-theoretic measures of divergence of probability measures cannot be directly applied in statistical estimation, since the divergence between the theoretical absolutely continuous probability measure and the discrete empirical probability measure is always equal to its upper bound and often takes on infinite values. In 2008 - 2009 Broniatowski & Vajda studied and extended two different modifications of divergences proposed independently in 2006. They altered the traditional phi-divergences into subdivergences and superdivergences and defined maximum subdivergence estimators with escort parameter theta and minimum superdivergence estimators. We shall present the key results of extensive simulation study of these types of point estimators. The main interest of our research was to examine these modifications in practical use as to the consistency, robustness and efficiency of the estimators.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2010

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    FernStat_CZ 2010 Sborník příspěvků

  • ISBN

    978-80-7414-284-0

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

  • Publisher name

    Univerzita J. E. Purkyně

  • Place of publication

    Ústí nad Labem

  • Event location

    Ústí nad Labem

  • Event date

    Sep 23, 2010

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article