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On the iterated a posteriori distribution in Bayesian statistics
Author(s):
F.
Recker
Original publication:
Teoriya Imovirnostei ta Matematichna Statistika,
vipusk 74
(2006).
Journal:
Theor. Probability and Math. Statist.
No. 74
(2007),
163-170.
MSC (2000):
Primary 62F15, 62C12
Posted:
July 5, 2007
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Abstract:
In theoretical considerations a Bayesian experiment consisting of many independently drawn samples is usually modeled by a product space. However, in some applications, as e.g. pattern recognition, the mathematical model is different. This model will be presented and a rigid measure-theoretic proof will be given showing that both models deliver the same a posteriori distribution.
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Additional Information:
F.
Recker
Affiliation:
Department of Mathematics, University of Hagen, D-58084 Hagen, Germany
Email:
Frank.Recker@FernUni-Hagen.de
DOI:
10.1090/S0094-9000-07-00705-3
PII:
S 0094-9000(07)00705-3
Keywords:
Bayesian inference,
a posteriori distribution
Received by editor(s):
15/AUG/2004
Posted:
July 5, 2007
Copyright of article:
Copyright
2007,
American Mathematical Society
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