Premium
New variance expressions for systematic sampling: the filtering approach
Author(s) -
GUALARNAU XIMO,
CRUZORIVE LUIS M.
Publication year - 2006
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.1365-2818.2006.01537.x
Subject(s) - estimator , variance (accounting) , sampling (signal processing) , bounded function , systematic sampling , mathematics , quadrat , euclidean space , domain (mathematical analysis) , statistics , euclidean geometry , algorithm , sampling design , computer science , filter (signal processing) , combinatorics , mathematical analysis , geometry , botany , accounting , shrub , business , computer vision , biology , population , demography , sociology
Summary We present a collection of variance models for estimators obtained by geometric systematic sampling with test points, quadrats, and n ‐boxes in general, on a bounded domain in n ‐dimensional Euclidean space ℝ n , n = 1, 2, ... , and for systematic rays and sectors on the circle. The approach adopted − termed the filtering approach − is new and different from the current transitive approach. This report is only preliminary, however, because it includes only variance models in terms of the covariogram of the measurement function. The estimation step is in preparation.