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An Extension of Sampford's Method for Unequal Probability Sampling
Author(s) -
BONDESSON LENNART,
GRAFSTRÖM ANTON
Publication year - 2011
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/j.1467-9469.2010.00707.x
Subject(s) - mathematics , probability sampling , sampling (signal processing) , sampling design , extension (predicate logic) , pareto principle , statistics , integer (computer science) , simple (philosophy) , simple random sample , computer science , population , philosophy , demography , filter (signal processing) , epistemology , sociology , computer vision , programming language
Abstract. Sampford's unequal probability sampling method is extended to the case that the inclusion probabilities do not sum to an integer. In this case, the sampling outcome is left open for exactly one randomly chosen unit and that unit gets a new inclusion probability. Three applications are presented. Two of them challenge traditional sampling routines. The simple Pareto sampling design, which was introduced by Rosén in 1997, is also extended. The extended Pareto design is shown to be close to the extended Sampford design.