when two systems are under consideration. In classical information theory, one employs the Kullback – Leibler relative entropy for this purpose which also has its quantum version. These are also additive measures and the Tsallis counterparts of these have been put forward and employed in the quantum context as well [10, 11]. There is promise in future work using the Tsallis approach to problems...

Two celebrated statistical principlesPrinciple of Maximum Likelihood and Principle of Maximum Entropy are merged establishing a novel estimation scheme for statistical inversion.

Degrees of belief are formed using observed ev­ idence and stat ist ical background in format ion. In this paper we examine the process of how pr ior degrees of belief derived f rom the evidence are combined w i th stat ist ical data to form more specific degrees of belief. A stat ist ical model for this process then is shown to vindicate the cross-entropy min imizat ion principle as a rule for...

The entropy of a seven dimensional Schwarzschild black hole of arbitrary large radius is obtained by a mapping onto a near extremal self-dual three-brane whose partition function can be evaluated. The three-brane arises from duality after submitting a neutral blackbrane, from which the Schwarzschild black hole can be obtained by compactification, to an infinite boost in non compact eleven dimen...

We de ne a general procedure for simulating a given discrete distribution using a sequence of i.i.d. random variables. This procedure is used to prove that a natural information-theoretic bound on the number of samples required to simulate the distribution can be arbitrarily approached in a limiting sense. c © 1999 Elsevier Science B.V. All rights reserved

Recently, Gross claims that Boltzmann entropy S = k lnW is valid for any system at equilibrium, so that Tsallis entropy is useless in this case. I comment on some arguments forwarded to reach this conclusion and argue that the additive energy formalism of nonextensive statistics is not appropriate for the fundamental study of the theory for nonadditive systems. PACS : 02.50.-r, 05.20.-y, 05.30....

Recently, Gross claims that Boltzmann entropy S = k lnW is valid for any system at equilibrium, so that Tsallis entropy is useless in this case. I comment on some arguments forwarded to reach this conclusion and argue that the additive energy formalism dominating nonextensive statistics is not appropriate for the fundamental study of the theory for nonadditive systems. PACS : 02.50.-r, 05.20.-y...

According to the thermodynamical analogy in black hole physics, the entropy of a black hole in the Einstein theory of gravity equals S BH = A H /(4l 2 P), where A H is the area of a black hole surface and l P = (¯ hG/c 3) 1/2 is the Planck length [1, 2]. In black hole physics the Bekenstein-Hawking entropy S BH plays essentially the same role an in the usual thermodynamics. In particular it all...

Our statistical concept-based spoken language translation method consists of three cascaded components: natural language understanding, natural concept generation and natural word generation. In the previous approaches, statistical models are used only in the first two components. In this paper, a novel maximum-entropy-based statistical natural word generation algorithm is proposed that takes i...

The concept of maximum entropy can be traced back along multiple threads to Biblical times. Only recently, however, have computers become powerful enough to permit the widescale application of this concept to real world problems in statistical estimation and pattern recognition. In this paper, we describe a method for statistical modeling based on maximum entropy. We present a maximum-likelihoo...