A Note on Sufficiency in Coherent Models

D. Basu; S. C. Cheng

doi:10.1155/S0161171281000422

A Note on Sufficiency in Coherent Models

D. Basu, S. C. Cheng

Department of Mathematics

Research output: Contribution to journal › Article

4 Scopus citations

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 language	English (US)
Pages (from-to)	571-582
Number of pages	12
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	4
Issue number	3
DOIs	https://doi.org/10.1155/S0161171281000422
State	Published - Jan 1 1981

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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Basu, D., & Cheng, S. C. (1981). A Note on Sufficiency in Coherent Models. International Journal of Mathematics and Mathematical Sciences, 4(3), 571-582. https://doi.org/10.1155/S0161171281000422

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