Composability of f -entropies
نویسنده
چکیده
It is shown that the Tsallis entropies are the only f -entropies satisfying the condition of composability.
منابع مشابه
Composability in a certain family of entropies
It is shown that the Tsallis entropies are the only entropies of the form H(P ) = − P i f(pi), with suitable assumptions on f , satisfying the condition of composability.
متن کاملComposability and Generalized Entropy
We address in this paper how tightly the composability nature of systems: SA+B = Ω(SA, SB) constrains definition of generalized entropies and investigate explicitly the composability in some ansatz of the entropy form.
متن کاملCharacterizations Using Entropies of Records in a Geometric Random Record Model
Suppose that a geometrically distributed number of observations are available from an absolutely continuous distribution function $F$, within this set of observations denote the random number of records by $M$. This is called geometric random record model. In this paper, characterizations of $F$ are provided in terms of the subsequences entropies of records conditional on events ${M geq n}$ or ...
متن کاملBeyond the Shannon-Khinchin Formulation: The Composability Axiom and the Universal Group Entropy
The notion of entropy is ubiquitous both in natural and social sciences. In the last two decades, a considerable effort has been devoted to the study of new entropic forms, which generalize the standard Boltzmann-Gibbs (BG) entropy and are widely applicable in thermodynamics, quantum mechanics and information theory. In [25], by extending previous ideas of Shannon [40, 41], Khinchin proposed a ...
متن کاملGeneralized information and entropy measures in physics
The formalism of statistical mechanics can be generalized by starting from more general measures of information than the Shannon entropy and maximizing those subject to suitable constraints. We discuss some of the most important examples of information measures that are useful for the description of complex systems. Examples treated are the Rényi entropy, Tsallis entropy, Abe entropy, Kaniadaki...
متن کامل