1,092 research outputs found
Non-additive entropies in ... gravity ?
We present aspects of entropic functionals relatively recently introduced in
Physics which are non-additive, in the conventional sense of the word, some of
which have a power-law functional form. We use as an example among them, and to
be concrete in this work the "Tsallis entropy", which has, arguably, the
simplest functional form. We present some of its properties and speculate about
its potential uses in semi-Classical and Quantum Gravity.Comment: 6 pages, No figures, LaTex2e with World Scientific macros (WS
layout). Contribution to the 2nd LeCosPA International Symposium "Everything
About Gravity", Taipei, Taiwan,14-18 December 2015. To appear in the
Conference Proceeding
Optimal sequential procedures with Bayes decision rules
In this article, a general problem of sequential statistical inference for
general discrete-time stochastic processes is considered. The problem is to
minimize an average sample number given that Bayesian risk due to incorrect
decision does not exceed some given bound. We characterize the form of optimal
sequential stopping rules in this problem. In particular, we have a
characterization of the form of optimal sequential decision procedures when the
Bayesian risk includes both the loss due to incorrect decision and the cost of
observations.Comment: Shortened version for print publication, 17 page
Additive Entropies of degree-q and the Tsallis Entropy
The Tsallis entropy is shown to be an additive entropy of degree-q that
information scientists have been using for almost forty years. Neither is it a
unique solution to the nonadditive functional equation from which random
entropies are derived. Notions of additivity, extensivity and homogeneity are
clarified. The relation between mean code lengths in coding theory and various
expressions for average entropies is discussed.Comment: 13 page
- …