Precision of systematic sampling and transitive methods

Kiên Kiêu (1) , Sandie Souchet (2, 3) , Jacques Istas (1)

1 MIA-JOUY - Unité de biométrie et intelligence artificielle de Jouy
2 MATISSE - UMR 8595 - Modélisation Appliquée, Trajectoires Institutionnelles et Stratégies Socio-Économiques
3 SAMOS - Statistique Appliquée et MOdélisation Stochastique

The use of the transitive methods for assessing the precision of systematic sampling is discussed. A key point of the transitive methods is the choice of a local model for the covariogram near the origin. The relationship between the regularity of the measurements and the regularity of their covariogram is given. This result is useful for choosing the appropriate covariogram model. A method forestimating the measurement regularity from discrete data is proposed for cases where it cannot be assessed a priori. Stereological applications where sampling is based on geometric probes such as serial sections, point or line grids are also discussed.

Mots clés: Spatial statistics; Transitive methods; Stereology; Geometric sampling; Precision assessment; Serial sections; Cavalieri volume estimator.; Cavalieri volume estimator

Domaines: Statistiques [math.ST]; Théorie [stat.TH]

Kiên Kiêu, Sandie Souchet, Jacques Istas. Precision of systematic sampling and transitive methods. Journal of Statistical Planning and Inference, 1999, 77, pp.263-279. ⟨hal-00276888⟩