We consider some fundamental concepts of mathematical statistics in the Bayesian setting. Sufficiency, prediction sufficiency and freedom can be treated as special cases of conditional independence. We give purely probabilistic proofs of the Basu theorem and related facts.
@article{bwmeta1.element.bwnjournal-article-zmv25i1p113bwm,
author = {Konrad Furma\'nczyki and Wojciech Niemiro},
title = {Sufficiency in bayesian models},
journal = {Applicationes Mathematicae},
volume = {25},
year = {1998},
pages = {113-120},
zbl = {0907.62006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv25i1p113bwm}
}
Furmańczyki, Konrad; Niemiro, Wojciech. Sufficiency in bayesian models. Applicationes Mathematicae, Tome 25 (1998) pp. 113-120. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv25i1p113bwm/
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