A note on sufficiency in coherent models. (1981)

• Record Type: Journal Article
• Authors: Basu, D.; Cheng, S. C.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 4:Number 3(1981)
• Page Start: 571
• Page End: 582
• Publication Date: 1981
• Subjects: sufficiency -- coherent model -- splitting set; Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171281000422
• Languages: English
• ISSNs: 0161-1712

Abstract

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.