Imprecise probability through f-probability and its statistical physical implications

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dc.contributor.authorChung, Won Sang
dc.contributor.authorAlgin, Abdullah
dc.date.accessioned2025-01-06T17:38:02Z
dc.date.available2025-01-06T17:38:02Z
dc.date.issued2020
dc.description.abstractIn this work, we present an approach to describe imprecise probability through an effective probability theory, called the f-probability. We develop a bijective and monotonous map from the precise probability in order to construct the f-probability theory based on the f -addition, f-subtraction, f-multiplication and f-division. We apply the f-probability to the Bernoulli trial and derive the f-binomial distribution. Finally, we obtain the non-extensive entropy through the f-probability theory, and give its statistical physical implications on several areas of potential applications. PACS number(s): 02.50.Cw, 05.20.-y; 05.90.+m (C) 2020 Elsevier Ltd. All rights reserved.
dc.identifier.doi10.1016/j.chaos.2020.110020
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85087610181
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2020.110020
dc.identifier.urihttps://hdl.handle.net/20.500.14669/2440
dc.identifier.volume139
dc.identifier.wosWOS:000588433800027
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241211
dc.subjectFoundations of probability
dc.subjectImprecise probabilities
dc.subjectUncertainty measures
dc.subjectNon-extensivity
dc.subjectDeformed calculus
dc.subjectComplex systems
dc.subjectNon-linear dynamics
dc.titleImprecise probability through f-probability and its statistical physical implications
dc.typeArticle

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