Variance of the Isotropic Uniform Systematic Sampling

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 ov...

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Bibliographic Details
Main Authors: Jiri Janacek, Daniel Jirak
Format: Article
Language:English
Published: Slovenian Society for Stereology and Quantitative Image Analysis 2019-12-01
Series:Image Analysis and Stereology
Subjects:
Online Access:https://www.ias-iss.org/ojs/IAS/article/view/2218