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 |
|---|---|
| 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 |
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All Science Journal Classification (ASJC) codes
- Mathematics (miscellaneous)
Cite this
A Note on Sufficiency in Coherent Models. / Basu, D.; Cheng, Shih-Chuan.
In: International Journal of Mathematics and Mathematical Sciences, Vol. 4, No. 3, 1981, p. 571-582.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A Note on Sufficiency in Coherent Models
AU - Basu, D.
AU - Cheng, Shih-Chuan
PY - 1981
Y1 - 1981
N2 - 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.
AB - 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.
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U2 - 10.1155/S0161171281000422
DO - 10.1155/S0161171281000422
M3 - Article
VL - 4
SP - 571
EP - 582
JO - International Journal of Mathematics and Mathematical Sciences
JF - International Journal of Mathematics and Mathematical Sciences
SN - 0161-1712
IS - 3
ER -