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Analiza konjugiranog prior-a×Markovova lančana Monte Carlo (MCMC)×
PodručjeBayesovska statistikaBayesovska statistika
ObiteljBayesian methodsBayesian methods
Godina nastanka1961
TvoracRaiffa & Schlaifer (1961); DeGroot (1970)
VrstaClosed-form Bayesian modelPosterior sampling algorithm
Temeljni izvorRaiffa, H. & Schlaifer, R. (1961). Applied Statistical Decision Theory. Harvard University Press. ISBN: 978-0-87584-017-8Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955
Drugi naziviconjugate priors, conjugate Bayesian updating, closed-form posterior analysis, Beta-Binomial modelmarkov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo)
Srodne33
SažetakConjugate prior analysis is a class of Bayesian inference methods in which the prior distribution and the likelihood belong to a matched family — called a conjugate pair — so that the posterior distribution has exactly the same functional form as the prior and can be derived in closed form. Introduced systematically by Raiffa and Schlaifer (1961) and consolidated by DeGroot (1970), conjugate analysis is the pedagogic backbone of introductory Bayesian statistics and a practical tool whenever analytical tractability is required.Markov Chain Monte Carlo (MCMC) is a family of computational algorithms for sampling from complex probability distributions, most commonly the posterior distributions that arise in Bayesian inference. Rather than computing posteriors analytically — which is rarely possible for realistic models — MCMC constructs a Markov chain whose stationary distribution is the target posterior and draws dependent samples from it, enabling full probabilistic inference for virtually any model.
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ScholarGateUsporedite metode: Conjugate Prior Analysis · MCMC. Preuzeto 2026-06-18 s https://scholargate.app/hr/compare