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A generalized entropy form of the Fano inequality. (English) Zbl 0386.94005
Fano’s lower bounds for error probabilities in coding are generalized in that the Shannon entropy is replaced by the generalized Daroczy entropy:
\[ H_n^\alpha(p_1,\ldots, p_n) = (2^{1-\alpha} - 1)^{-1} \left(\sum_i p_i^\alpha - 1\right),\quad \alpha\ne 1. \]
Reviewer: Jorma Rissanen

MSC:
94A17 Measures of information, entropy
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