Generalized probabilities in statistical theories

Federico Holik, Cesar Massri

Research output: Contribution to journalArticlepeer-review

Abstract

In this review article we present different formal frameworks for the description of generalized probabilities in statistical theories. We discuss the particular cases of probabilities appearing in classical and quantum mechanics, possible generalizations of the approaches of A. N. Kolmogorov and R. T. Cox to non-commutative models, and the approach to generalized probabilities based on convex sets.

Subjects: Other Statistics (stat.OT)
Original languageEnglish
Pages (from-to)389-416
Number of pages28
JournalQuantum Reports
Volume3
Issue number3
DOIs
Publication statusPublished - Sep 2021

Bibliographical note

Funding Information:
Funding: This work was partially supported by the grants PIP N◦ 6461/05 amd 1177 (CONICET). In addition, by the projects FIS2008-00781/FIS (MICINN)—FEDER (EU) (Spain, EU). F.H. was partially funded by the project “Per un’estensione semantica della Logica Computazionale Quantistica-Impatto teorico e ricadute implementative”, Regione Autonoma della Sardegna, (RAS: RASSR40341), L.R. 7/2017, annualità 2017—Fondo di Sviluppo e Coesione (FSC) 2014-2020 and the Project PICT-2019-01272.

Funding Information:
This work was partially supported by the grants PIP N? 6461/05 amd 1177 (CONICET). In addition, by the projects FIS2008-00781/FIS (MICINN)?FEDER (EU) (Spain, EU). F.H. was partially funded by the project ?Per un?estensione semantica della Logica Computazionale Quantistica-Impatto teorico e ricadute implementative?, Regione Autonoma della Sardegna, (RAS: RASSR40341), L.R. 7/2017, annualit? 2017?Fondo di Sviluppo e Coesione (FSC) 2014-2020 and the Project PICT-2019-01272.

Publisher Copyright:
© 2021 by the authors. Licensee MDPI, Basel, Switzerland.

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