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On conditional independence and the relationship between sufficiency and invariance under the Bayesian point of view

✍ Scribed by Agustı́n G. Nogales; José A. Oyola; Paloma Pérez

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 124 KB
Volume: 46
Category: Article
ISSN: 0167-7152
DOI: 10.1016/s0167-7152(99)00089-9

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✦ Synopsis

The concept of conditional independence is considered in the study of the relationship between su ciency and invariance under a Bayesian point of view showing, among other results, that the conditional independence of the almost-invariant -ÿeld and a su cient -ÿeld given its intersection is equivalent to its sampling conditional independence. In the Bayesian framework, an improvement upon a well-known and classical result of Stein is obtained.

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