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On Sampling Designs with Ordered Conditional Inclusion Probabilities
Authors:Lennart Bondesson  Imbi Traat
Institution:1. Department of Mathematics and Mathematical Statistics, Ume??University;2. Institute of Mathematical Statistics, University of Tartu
Abstract: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.
Keywords:complementary Midzuno design  conditional Poisson design  Deutsch's inequality  efficiency gain  Pareto design  Sampford design
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