Number of the records: 1  

Variance of the isotropic uniform systematic sampling

  1. 1.
    SYSNO ASEP0518662
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleVariance of the isotropic uniform systematic sampling
    Author(s) Janáček, Jiří (FGU-C) RID, ORCID
    Jirák, D. (CZ)
    Source TitleImage Analysis and Stereology - ISSN 1580-3139
    Roč. 38, č. 3 (2019), s. 261-267
    Number of pages7 s.
    Languageeng - English
    CountrySI - Slovenia
    Keywordsisotropic design ; spatial statistics ; stereology ; systematic sampling ; variance
    Subject RIVBD - Theory of Information
    OECD categoryApplied mathematics
    R&D ProjectsLM2015062 GA MŠk - Ministry of Education, Youth and Sports (MEYS)
    EF16_013/0001775 GA MŠk - Ministry of Education, Youth and Sports (MEYS)
    GAP302/12/1207 GA ČR - Czech Science Foundation (CSF)
    Research InfrastructureCzech-BioImaging - 90062 - Ústav molekulární genetiky AV ČR, v. v. i.
    Method of publishingOpen access
    Institutional supportFGU-C - RVO:67985823
    UT WOS000502826900007
    DOI10.5566/ias.2218
    AnnotationThe integral of a smooth function with bounded support over a set with finite perimeter in Euclidean space ℝd is estimated using a periodic grid in an isotropic uniform random position. Extension term in the estimator variance is proportional to the integral of the squared modulus of the function over the object boundary and to the grid scaling factor raised to the power of d+1. Our result generalizes the Kendall-Hlawka-Matheron formula for the variance of the isotropic uniform systematic estimator of volume.
    WorkplaceInstitute of Physiology
    ContactLucie Trajhanová, lucie.trajhanova@fgu.cas.cz, Tel.: 241 062 400
    Year of Publishing2020
    Electronic addresshttps://ias-iss.org/ojs/IAS/article/view/2218
Number of the records: 1