Distances in probability space and the statistical complexity setup

En:

Entropy 2011;13(6):1055-1075

Fecha:

2011

Formato:

application/pdf

Tipo de documento:

info:eu-repo/semantics/article
info:ar-repo/semantics/artículo
info:eu-repo/semantics/publishedVersion

Descriptores:

Disequilibrium -  Generalized statistical complexity -  Information theory -  Quantum chaos -  Selection of the probability distribution -  Semiclassical theories

Descripción:

Statistical complexity measures (SCM) are the composition of two ingredients: (i) entropies and (ii) distances in probability-space. In consequence, SCMs provide a simultaneous quantification of the randomness and the correlational structures present in the system under study. We address in this review important topics underlying the SCM structure, viz., (a) a good choice of probability metric space and (b) how to assess the best distance-choice, which in this context is called a "disequilibrium" and is denoted with the letter Q. Q, indeed the crucial SCM ingredient, is cast in terms of an associated distance D. Since out input data consists of time-series, we also discuss the best way of extracting from the time series a probability distribution P. As an illustration, we show just how these issues affect the description of the classical limit of quantum mechanics. © 2011 by the authors; licensee MDPI, Basel, Switzerland.

Identificador(es):

http://hdl.handle.net/20.500.12110/paper_10994300_v13_n6_p1055_Kowalski

Derechos:

info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar