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On continuity of the Bayes response (Corresp.)

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2 Author(s)

In a statistical decision problem, the use of approximate or estimated priors leads naturally to the question of the continuity of risk R(\theta, d_{G}) in the variable G . This continuity condition is explored, and in the finite parameter state case, a characterization in terms of the differentiability of the Bayes envelope is given.

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Information Theory, IEEE Transactions on  (Volume:24 ,  Issue: 4 )