Variance of the isotropic uniform systematic sampling

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00023001%3A_____%2F19%3A00078815" target="_blank" >RIV/00023001:_____/19:00078815 - isvavai.cz</a>
Alternative codes found
RIV/67985823:_____/19:00518662 RIV/00216208:11110/19:10402418
Result on the web
<a href="https://ias-iss.org/ojs/IAS/article/view/2218/1115" target="_blank" >https://ias-iss.org/ojs/IAS/article/view/2218/1115</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.5566/ias.2218" target="_blank" >10.5566/ias.2218</a>

Result language
angličtina
Original language name
Variance of the isotropic uniform systematic sampling
Original language description
The integral of a smooth function with bounded support over a set with finite perimeter in Euclidean space R-d 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.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
30224 - Radiology, nuclear medicine and medical imaging

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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