On Sampling Designs with Ordered Conditional Inclusion Probabilities. (11th September 2013)

• Record Type: Journal Article
• Authors: Bondesson, Lennart; Traat, Imbi
• Is Part Of: Scandinavian journal of statistics. Volume 40:Number 4(2013:Dec.)
• Page Start: 724
• Page End: 733
• Publication Date: 2013-09-11
• Subjects: Statistics -- Periodicals; 310
• DOI: 10.1111/sjos.12024
• Languages: English
• ISSNs: 0303-6898

Abstract

<abstract abstract-type="main" id="sjos12024-abs-0001"> <title>ABSTRACT</title> <p id="sjos12024-para-0001">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.</p> </abstract>