Distances in probability space and the statistical complexity setup
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 rev...
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2011
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10994300_v13_n6_p1055_Kowalski http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10994300_v13_n6_p1055_Kowalski_oai |
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I28-R145-paper_10994300_v13_n6_p1055_Kowalski_oai2020-10-19 Kowalski, A.M. Martín, M.T. Plastino, A. Rosso, O.A. Casas, M. 2011 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. application/pdf http://hdl.handle.net/20.500.12110/paper_10994300_v13_n6_p1055_Kowalski info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Entropy 2011;13(6):1055-1075 Disequilibrium Generalized statistical complexity Information theory Quantum chaos Selection of the probability distribution Semiclassical theories Distances in probability space and the statistical complexity setup info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10994300_v13_n6_p1055_Kowalski_oai |
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Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-145 |
| collection |
Repositorio Digital de la Universidad de Buenos Aires (UBA) |
| topic |
Disequilibrium Generalized statistical complexity Information theory Quantum chaos Selection of the probability distribution Semiclassical theories |
| spellingShingle |
Disequilibrium Generalized statistical complexity Information theory Quantum chaos Selection of the probability distribution Semiclassical theories Kowalski, A.M. Martín, M.T. Plastino, A. Rosso, O.A. Casas, M. Distances in probability space and the statistical complexity setup |
| topic_facet |
Disequilibrium Generalized statistical complexity Information theory Quantum chaos Selection of the probability distribution Semiclassical theories |
| description |
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. |
| format |
Artículo Artículo publishedVersion |
| author |
Kowalski, A.M. Martín, M.T. Plastino, A. Rosso, O.A. Casas, M. |
| author_facet |
Kowalski, A.M. Martín, M.T. Plastino, A. Rosso, O.A. Casas, M. |
| author_sort |
Kowalski, A.M. |
| title |
Distances in probability space and the statistical complexity setup |
| title_short |
Distances in probability space and the statistical complexity setup |
| title_full |
Distances in probability space and the statistical complexity setup |
| title_fullStr |
Distances in probability space and the statistical complexity setup |
| title_full_unstemmed |
Distances in probability space and the statistical complexity setup |
| title_sort |
distances in probability space and the statistical complexity setup |
| publishDate |
2011 |
| url |
http://hdl.handle.net/20.500.12110/paper_10994300_v13_n6_p1055_Kowalski http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10994300_v13_n6_p1055_Kowalski_oai |
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1766026753787035648 |