Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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 (doi: 10.20944/preprints202012.0195.v1). Uzhga-Rebrov, O.; Kuleshova, G. Probabilistic Inference with Interval Probabilities. Preprints 2020, 2020120195 (doi: 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.

Subject Areas

consistent interval probabilities; generalized probability intervals; interval probabilities; Kaucher arithmetic; permissible interval probabilities; probabilistic inference; probability trees; reachable interval probabilities

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