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Sampling properties of spatial total estimators under tessellation stratified designs
Author(s) -
Barabesi L.,
Franceschi S.
Publication year - 2011
Publication title -
environmetrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.68
H-Index - 58
eISSN - 1099-095X
pISSN - 1180-4009
DOI - 10.1002/env.1046
Subject(s) - stratified sampling , estimator , sampling (signal processing) , tessellation (computer graphics) , statistics , sampling design , sample size determination , sample (material) , variable (mathematics) , spatial dependence , population , field (mathematics) , mathematics , computer science , geometry , mathematical analysis , physics , filter (signal processing) , computer vision , demography , sociology , pure mathematics , thermodynamics
Many environmental variables are continuously scattered over a region and the target parameter turns out to be the spatial total of the variable. In this setting, the design‐based approach under the continuous‐population paradigm may be conveniently considered. This design is carried out by locating sample sites according to stratified protocols based on a regular tessellation of the region. Such stratified designs are used in the field since they allow for an even sampling coverage of the study area. In this paper we show that the spatial total estimators under tessellation stratified designs are very accurate and normally distributed for large samples. Copyright © 2010 John Wiley & Sons, Ltd.