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On Sampling Designs with Ordered Conditional Inclusion Probabilities
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2013 (English)In: Scandinavian Journal of Statistics, ISSN 0303-6898, E-ISSN 1467-9469, Vol. 40, no 4, 724-733 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we consider a family of sampling designs for which increasing first-order inclusion probabilities imply, in a specific sense, increasing conditional inclusion probabilities. It is proved that the complementary Midzuno, the conditional Poisson, and the Sampford designs belong to this family. It is shown that designs of the family are more efficient than a comparable with-replacement design. Furthermore, the efficiency gain is explicitly given for these designs.

Place, publisher, year, edition, pages
Wiley-Blackwell, 2013. Vol. 40, no 4, 724-733 p.
Keyword [en]
complementary Midzuno design, conditional Poisson design, Deutsch's inequality, efficiency gain, Pareto design, Sampford design
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:umu:diva-84112DOI: 10.1111/sjos.12024ISI: 000327258100005OAI: oai:DiVA.org:umu-84112DiVA: diva2:680426
Available from: 2013-12-18 Created: 2013-12-16 Last updated: 2017-12-06Bibliographically approved

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Bondesson, Lennart
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