Change search
ReferencesLink to record
Permanent link

Direct link
Why well spread probability samples are balanced
Department of Forest Resource Management, Swedish University of Agricultural Sciences, Umeå, Sweden.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2013 (English)In: Open Journal of Statistics, ISSN 2161-718X, E-ISSN 2161-7198, Vol. 3, no 1, 36-41 p.Article in journal (Refereed) Published
Abstract [en]

When sampling from a finite population there is often auxiliary information available on unit level. Such information can be used to improve the estimation of the target parameter. We show that probability samples that are well spread in the auxiliary space are balanced, or approximately balanced, on the auxiliary variables. A consequence of this balancing effect is that the Horvitz-Thompson estimator will be a very good estimator for any target variable that can be well approximated by a Lipschitz continuous function of the auxiliary variables. Hence we give a theoretical motivation for use of well spread probability samples. Our conclusions imply that well spread samples, combined with the HorvitzThompson estimator, is a good strategy in a varsity of situations.

Place, publisher, year, edition, pages
Scientific Research Publishing, 2013. Vol. 3, no 1, 36-41 p.
Keyword [en]
balanced sample, local pivotal method, spatial balance, spatially correlated Poisson sampling, Voronoi polytopes
National Category
Probability Theory and Statistics
URN: urn:nbn:se:umu:diva-65954DOI: 10.4236/ojs.2013.31005OAI: diva2:605310
Available from: 2013-02-13 Created: 2013-02-13 Last updated: 2014-09-15Bibliographically approved

Open Access in DiVA

fulltext(207 kB)79 downloads
File information
File name FULLTEXT01.pdfFile size 207 kBChecksum SHA-512
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Search in DiVA

By author/editor
Grafström, AntonLundström, Niklas L.P.
By organisation
Department of Mathematics and Mathematical Statistics
In the same journal
Open Journal of Statistics
Probability Theory and Statistics

Search outside of DiVA

GoogleGoogle Scholar
Total: 79 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 109 hits
ReferencesLink to record
Permanent link

Direct link