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Asymptotics for generalized piecewise linear histograms.

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F02%3A16020223" target="_blank" >RIV/67985556:_____/02:16020223 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Asymptotics for generalized piecewise linear histograms.

  • Original language description

    In a recent paper we have extended the concept of piecewise linear histogram (PLH) introduced by Beirlant, Berlinet and Gyorfi. The disadvantage of the PLH is that, in many models with probability closed to 1, it takes on negative values with probabilityclose to one. We have shown that for all models satisfying mild assumptions, the class of our generalized piecewise linear histograms (GPLH's) contains a bona fide density with probability tending to 1 as the sample size n increases to infinity.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA102%2F99%2F1137" target="_blank" >GA102/99/1137: Estimation and optimization in telecommunication networks</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2002

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Publications de l'Institut de Statistique de l'Universite de Paris

  • ISSN

    0041-9184

  • e-ISSN

  • Volume of the periodical

    34

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    FR - FRANCE

  • Number of pages

    17

  • Pages from-to

    3-19

  • UT code for WoS article

  • EID of the result in the Scopus database