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분야소프트 컴퓨팅통계학소프트 컴퓨팅
계열Bayesian methodsBayesian methodsMachine learning
기원 연도199117631976
창시자Peter WalleyThomas Bayes; Pierre-Simon LaplaceArthur P. Dempster & Glenn Shafer
유형Set-valued probability modelProbabilistic inference paradigmUncertainty calculus for combining evidence
원전Walley, P. (1991). Statistical Reasoning with Imprecise Probabilities. Chapman & Hall. ISBN: 978-0-412-28660-5Bayes, T. (1763). An essay towards solving a problem in the doctrine of chances. Philosophical Transactions of the Royal Society of London, 53, 370–418. link ↗Dempster, A. P. (1967). Upper and lower probabilities induced by a multivalued mapping. The Annals of Mathematical Statistics, 38(2), 325–339. DOI ↗
별칭Lower-Upper Probability, Robust Bayesian Analysis, Credal Set Theory, Belirsiz OlasılıkBayes inference, Bayesian statistics, Bayesian updating, posterior inferenceevidence theory, belief functions, evidential reasoning, Dempster-Shafer kanıt teorisi
관련334
요약Imprecise probability is a generalization of standard probability theory that represents epistemic uncertainty through sets of probability measures, called credal sets, rather than a single precise distribution. Introduced systematically by Peter Walley in his 1991 monograph, the framework characterizes beliefs via lower and upper probabilities (or previsions), bracketing the range of plausible probability assignments when available information is insufficient to determine a unique measure.Bayesian inference is a statistical paradigm in which probability represents degrees of belief rather than long-run frequencies. It encodes prior knowledge about parameters in a prior distribution, combines that prior with the likelihood of observed data via Bayes' theorem, and produces a posterior distribution that quantifies updated uncertainty. The foundational theorem was published posthumously by Thomas Bayes in 1763 and subsequently systematized by Pierre-Simon Laplace in his 1812 Théorie analytique des probabilités.Dempster-Shafer theory is a mathematical framework for reasoning under uncertainty that generalizes Bayesian probability by representing ignorance explicitly. Instead of forcing a single probability on each hypothesis, it assigns belief mass to sets of hypotheses and derives a belief-plausibility interval, and it provides Dempster's rule for fusing evidence from multiple independent sources. Developed from Arthur Dempster's 1967 work and Glenn Shafer's 1976 monograph, it underpins evidential reasoning and sensor/decision fusion.
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ScholarGate방법 비교: Imprecise Probability · Bayesian Inference · Dempster-Shafer Theory. 2026-06-19에 다음에서 검색함: https://scholargate.app/ko/compare