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OblastMeko računarstvoStatistikaMeko računarstvo
PorodicaBayesian methodsBayesian methodsMachine learning
Godina nastanka199117631988
TvoracPeter WalleyThomas Bayes; Pierre-Simon LaplaceLotfi Zadeh; Didier Dubois & Henri Prade
TipSet-valued probability modelProbabilistic inference paradigmUncertainty quantification framework
Temeljni izvorWalley, 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 ↗Dubois, D., & Prade, H. (1988). Possibility Theory: An Approach to Computerized Processing of Uncertainty. Plenum Press. ISBN: 978-0-306-42520-2
Drugi naziviLower-Upper Probability, Robust Bayesian Analysis, Credal Set Theory, Belirsiz OlasılıkBayes inference, Bayesian statistics, Bayesian updating, posterior inferenceFuzzy Possibility Theory, Possibilistic Reasoning, Olasılık Teorisi (Bulanık), Possibility Distribution Theory
Srodne333
SažetakImprecise 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.Possibility Theory is a mathematical framework for representing and reasoning under uncertainty, introduced by Lotfi Zadeh in 1978 and systematically developed by Didier Dubois and Henri Prade in their 1988 monograph. It uses possibility distributions — functions assigning a degree in [0,1] to each element of a universe — to encode what is plausible or consistent with available information, complementing probability theory for situations where data is scarce or knowledge is imprecise.
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ScholarGateUporedite metode: Imprecise Probability · Bayesian Inference · Possibility Theory. Preuzeto 2026-06-19 sa https://scholargate.app/sr/compare