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Extended Shannon entropies. II. (English) Zbl 0601.94004
Extended Shannon entropies \(C_{\tau}\) and semientropies \(C^*_{\tau}\), introduced in Part I [ibid. 33(108), 564-601 (1983; Zbl 0542.94007)] are examined. It is shown that \(C_{\tau}(P)\) and \(C^*_{\tau}(P)\) are finite whenever P satisfies a certain boundedness condition and that, under some not too restrictive assumptions, \(C_{\tau}\) and \(C^*_{\tau}\) satisfy a condition of the Lipschitz type.
Reviewer: Reviewer (Berlin)
94A17 Measures of information, entropy
Full Text: EuDML
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