Article
Version 1
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Probabilistic Inference with Interval Probabilities
Version 1
: Received: 7 December 2020 / Approved: 8 December 2020 / Online: 8 December 2020 (10:01:39 CET)
How to cite: Uzhga-Rebrov, O.; Kuleshova, G. Probabilistic Inference with Interval Probabilities. Preprints 2020, 2020120195. https://doi.org/10.20944/preprints202012.0195.v1 Uzhga-Rebrov, O.; Kuleshova, G. Probabilistic Inference with Interval Probabilities. Preprints 2020, 2020120195. https://doi.org/10.20944/preprints202012.0195.v1
Abstract
Probabilistic inference problems have very broad practical applications. To solve this kind of problems under conditions of certainty, an effective mathematical apparatus has been developed. In real situations, obtaining deterministic estimates of relevant probabilities is often difficult; therefore, problems with handling uncertain estimates of probabilities appear. This paper examines the problem of probabilistic inference with probability trees provided that the initial probabilities are given in the form of intervals of their possible values.
Keywords
consistent interval probabilities; generalized probability intervals; interval probabilities; Kaucher arithmetic; permissible interval probabilities; probabilistic inference; probability trees; reachable interval probabilities
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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