El-Sayed, Abu-Bakr A generalized entropy form of the Fano inequality. (English) Zbl 0386.94005 Util. Math. 12, 289-298 (1977). 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 Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 Documents MSC: 94A17 Measures of information, entropy Keywords:lower bounds for error probabilities; generalized Daroczy entropy PDFBibTeX XMLCite \textit{A.-B. El-Sayed}, Util. Math. 12, 289--298 (1977; Zbl 0386.94005)