Počet záznamů: 1  

Variance of the isotropic uniform systematic sampling

  1. 1.
    0518662 - FGÚ 2020 RIV SI eng J - Článek v odborném periodiku
    Janáček, Jiří - Jirák, D.
    Variance of the isotropic uniform systematic sampling.
    Image Analysis and Stereology. Roč. 38, č. 3 (2019), s. 261-267. ISSN 1580-3139
    Grant CEP: GA MŠk(CZ) LM2015062; GA MŠk(CZ) EF16_013/0001775; GA ČR(CZ) GAP302/12/1207
    Výzkumná infrastruktura: Czech-BioImaging - 90062
    Institucionální podpora: RVO:67985823
    Klíčová slova: isotropic design * spatial statistics * stereology * systematic sampling * variance
    Kód oboru RIV: BD - Teorie informace
    Obor OECD: Applied mathematics
    Impakt faktor: 0.550, rok: 2019
    https://ias-iss.org/ojs/IAS/article/view/2218

    The 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.
    Trvalý link: http://hdl.handle.net/11104/0303749

     
     
Počet záznamů: 1