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On the precision of systematic sampling: a review of Matheron's transitive methods
Author(s) -
CruzOrive Luis M.
Publication year - 1989
Publication title -
journal of microscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.569
H-Index - 111
eISSN - 1365-2818
pISSN - 0022-2720
DOI - 10.1111/j.1365-2818.1989.tb01480.x
Subject(s) - geostatistics , transitive relation , estimator , computer science , quadrature (astronomy) , basis (linear algebra) , mathematics , variance (accounting) , algorithm , variogram , data mining , sampling (signal processing) , statistics , machine learning , spatial variability , computer vision , geometry , accounting , filter (signal processing) , combinatorics , kriging , electrical engineering , business , engineering
G. Matheron's theory of regionalized variables provides a suitable basis for obtaining variance approximations for estimators of integrals from systematically sampled observations, with applications in geostatistics, image analysis, stereology and numerical quadrature techniques in general. The approximations are often fairly accurate for practical purposes. The methods are, however, not sufficiently widespread outside the field of geostatistics. The purpose of this paper is to present in an informal way the transitive part of the methods (relevant to the design‐based approach) and a number of stereological applications.