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On the asymptotic behavior of the approximations for the probability of error and the entropy of a stationary random process

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2 Author(s)

Let {Yn} be a stationary random process where each Y value takes values in a finite set B. Then define Hn and en so that H is the entropy of {Yn} and e is the probability of error in predicting Y0 from the infinite past. The purpose of this correspondence is to give an example which shows that {Hn - H} and {en - e} are not, in general, asymptotically identical for a stationary process {Yn}.

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Information Theory, IEEE Transactions on  (Volume:13 ,  Issue: 3 )