Capocelli, Renato M.; De Santis, Alfredo; Taneja, Indeer J. Bounds on the entropy series. (English) Zbl 0647.94006 IEEE Trans. Inf. Theory 34, No. 1, 134-138 (1988). Upper bounds on the entropy of a countable integer-valued random variable are furnished in terms of the expectation of the logarithm function. In particular, an upper bound is derived that is sharper than that of Elias, \(H(P)\leq E_ P(\log)+2(1+\sqrt{E_ P(\log)}),\) for all values of \(E_ P(\log)\). Bounds that are better only for large values of \(E_ P(\log)\) than the previous known upper bounds are also provided. Cited in 1 Document MSC: 94A17 Measures of information, entropy Keywords:Upper bounds; entropy of a countable integer-valued random variable; logarithm PDFBibTeX XMLCite \textit{R. M. Capocelli} et al., IEEE Trans. Inf. Theory 34, No. 1, 134--138 (1988; Zbl 0647.94006) Full Text: DOI