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- W2267436005 abstract "Probability sampling designs are formally distributions of (finite) random sets, i.e. random experiments whose outcomes are subsets of the population under study. We explore systematically this point of view to bring out the fact that the concept of random sets is primitive and can be neatly used to present simple and concrete models leading to the formulation of general statistical models for statistical inference. From the natural viewpoint of random sets, the study of sampling designs is placed nicely within the context of finding joint distributions with given marginals, in which the concept of copulas appears naturally. Combinatorial aspects of computations with random sets are useful for introducing students to relevant applications and research in statistics in statistics such as coarse data analysis in biostatistics." @default.
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- W2267436005 date "2006-06-01" @default.
- W2267436005 modified "2023-09-23" @default.
- W2267436005 title "Exploring the Concept of Random Sets in Teaching Statistics" @default.
- W2267436005 doi "https://doi.org/10.6704/jmssd.2006.3.2.68" @default.
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