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क्षेत्रसांख्यिकीसॉफ्ट कंप्यूटिंग
परिवारBayesian methodsMachine learning
उद्भव वर्ष17631976
प्रवर्तकThomas Bayes; Pierre-Simon LaplaceArthur P. Dempster & Glenn Shafer
प्रकारProbabilistic inference paradigmUncertainty calculus for combining evidence
मौलिक स्रोतBayes, 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 ↗
उपनामBayes inference, Bayesian statistics, Bayesian updating, posterior inferenceevidence theory, belief functions, evidential reasoning, Dempster-Shafer kanıt teorisi
संबंधित34
सारांशBayesian 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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ScholarGateविधियों की तुलना करें: Bayesian Inference · Dempster-Shafer Theory. 2026-06-20 को यहाँ से प्राप्त https://scholargate.app/hi/compare