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বেয়েশীয় অনুমান (Bayesian Inference)×ডেম্পস্টার-শেফার প্রমাণ তত্ত্ব×
ক্ষেত্রপরিসংখ্যানসফট কম্পিউটিং
পরিবারBayesian methodsMachine learning
উদ্ভবের বছর17631976
প্রবর্তকThomas Bayes; Pierre-Simon LaplaceArthur P. Dempster & Glenn Shafer
ধরনProbabilistic inference paradigmUncertainty calculus for combining evidence
মৌলিক উৎসBayes, 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 ↗
অপর নামBayes inference, Bayesian statistics, Bayesian updating, posterior inferenceevidence theory, belief functions, evidential reasoning, Dempster-Shafer kanıt teorisi
সম্পর্কিত34
সারসংক্ষেপBayesian 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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ScholarGateপদ্ধতির তুলনা করুন: Bayesian Inference · Dempster-Shafer Theory. 2026-06-19 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare