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On Sampling Designs with Ordered Conditional Inclusion Probabilities
Author(s) -
Bondesson Lennart,
Traat Imbi
Publication year - 2013
Publication title -
scandinavian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.359
H-Index - 65
eISSN - 1467-9469
pISSN - 0303-6898
DOI - 10.1111/sjos.12024
Subject(s) - mathematics , conditional probability distribution , inclusion (mineral) , sampling (signal processing) , poisson distribution , conditional probability , statistics , sampling design , computer science , psychology , social psychology , population , demography , filter (signal processing) , sociology , computer vision
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.