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GAUSSIAN APPROXIMATION FOR FUNCTIONALS OF GIBBS PARTICLE PROCESSES

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10384116" target="_blank" >RIV/00216208:11320/18:10384116 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.14736/kyb-2018-4-0765" target="_blank" >https://doi.org/10.14736/kyb-2018-4-0765</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.14736/kyb-2018-4-0765" target="_blank" >10.14736/kyb-2018-4-0765</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    GAUSSIAN APPROXIMATION FOR FUNCTIONALS OF GIBBS PARTICLE PROCESSES

  • Original language description

    In the paper asymptotic properties of functionals of stationary Gibbs particle processes are derived. Two known techniques from the point process theory in the Euclidean space R-d are extended to the space of compact sets on R-d equipped with the Hausdorff metric. First, conditions for the existence of the stationary Gibbs point process with given conditional intensity have been simplified recently. Secondly, the Malliavin-Stein method was applied to the estimation of Wasserstein distance between the Gibbs input and standard Gaussian distribution. We transform these theories to the space of compact sets and use them to derive a Gaussian approximation for functionals of a planar Gibbs segment process.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10103 - Statistics and probability

Result continuities

  • Project

    <a href="/en/project/GA16-03708S" target="_blank" >GA16-03708S: Spatial geometrical statistics of random sets in Euclidean spaces</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Kybernetika

  • ISSN

    0023-5954

  • e-ISSN

  • Volume of the periodical

    54

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    13

  • Pages from-to

    765-777

  • UT code for WoS article

    000449579800008

  • EID of the result in the Scopus database

    2-s2.0-85056176390