A Note on Sufficiency in Coherent Models

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Abstract

Partly of an expository nature, this article brings together a number of notions related to sufficiency in an abstract measure theoretic setting. The notion of a coherent statistical model, as introduced by Hasegawa and Perlman [6], is studied in some details. A few results are generalized and their earlier proofs simplified. Among other things, it is shown that a coherent model can be connected in the sense of Basu [2] if and only if no splitting set (Koehn and Thomas, [7]) exists.

Original languageEnglish
Pages (from-to)571-582
Number of pages12
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume4
Issue number3
DOIs
Publication statusPublished - 1981

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All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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