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Imprecise probability through f-probability and its statistical physical implications
- Authors
- Chung, Won Sang; Algin, Abdullah
- Issue Date
- Oct-2020
- Publisher
- Pergamon Press Ltd.
- Keywords
- Foundations of probability; Imprecise probabilities; Uncertainty measures; Non-extensivity; Deformed calculus; Complex systems; Non-linear dynamics
- Citation
- Chaos, Solitons & Fractals, v.139
- Indexed
- SCIE
SCOPUS
- Journal Title
- Chaos, Solitons & Fractals
- Volume
- 139
- ISSN
- 0960-0779
1873-2887
- Abstract
- In 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.
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