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 , 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  if and only if no splitting set (Koehn and Thomas, ) exists.
|Original language||English (US)|
|Number of pages||12|
|Journal||International Journal of Mathematics and Mathematical Sciences|
|State||Published - 1981|
All Science Journal Classification (ASJC) codes
- Mathematics (miscellaneous)