Miroslav Kat\v etov
Entropy-like functionals: conceptual background and some results

Comment.Math.Univ.Carolinae 33,4 (1992) 645-660.

Abstract:We describe a conceptual approach which provides a unified view of various entropy-like functionals on the class of semimetric spaces, endowed with a bounded measure. The entropy $E$ considered in the author's previous articles is modified so as to assume finite values for a fairly wide class of spaces which fail to be totally bounded.

Keywords: entropy-like functionals, Hartley value of a piece of information, moderate $E$-entropy
AMS Subject Classification: 94A17

PDF