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Variance of the isotropic uniform systematic sampling
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SYSNO ASEP 0518662 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Variance of the isotropic uniform systematic sampling Author(s) Janáček, Jiří (FGU-C) RID, ORCID
Jirák, D. (CZ)Source Title Image Analysis and Stereology. - : Društvo za stereologijo in kvantitativno analizo slike - ISSN 1580-3139
Roč. 38, č. 3 (2019), s. 261-267Number of pages 7 s. Language eng - English Country SI - Slovenia Keywords isotropic design ; spatial statistics ; stereology ; systematic sampling ; variance Subject RIV BD - Theory of Information OECD category Applied mathematics R&D Projects LM2015062 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) EF16_013/0001775 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) GAP302/12/1207 GA ČR - Czech Science Foundation (CSF) Research Infrastructure Czech-BioImaging - 90062 - Ústav molekulární genetiky AV ČR, v. v. i. Method of publishing Open access Institutional support FGU-C - RVO:67985823 UT WOS 000502826900007 DOI 10.5566/ias.2218 Annotation 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. Workplace Institute of Physiology Contact Lucie Trajhanová, lucie.trajhanova@fgu.cas.cz, Tel.: 241 062 400 Year of Publishing 2020 Electronic address https://ias-iss.org/ojs/IAS/article/view/2218
Number of the records: 1