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) |
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Pages (from-to) | 571-582 |
Number of pages | 12 |
Journal | International Journal of Mathematics and Mathematical Sciences |
Volume | 4 |
Issue number | 3 |
DOIs | |
State | Published - 1981 |
All Science Journal Classification (ASJC) codes
- Mathematics (miscellaneous)