an:03970671
Zbl 0601.94004
Kat??tov, Miroslav
Extended Shannon entropies. II
EN
Czech. Math. J. 35(110), 565-616 (1985).
00224799
1985
j
94A17
semientropies
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.
Zbl 0542.94007