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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
Identifiers
URN: urn:nbn:se:umu:diva-65954DOI: 10.4236/ojs.2013.31005OAI: oai:DiVA.org:umu-65954DiVA: diva2:605310
Available from: 2013-02-13 Created: 2013-02-13 Last updated: 2017-12-06Bibliographically approved

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Grafström, AntonLundström, Niklas L.P.
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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf