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বেয়েশীয় রিগ্রেশন×মার্কভ চেইন মন্টি কার্লো (MCMC)×সাধারণ ন্যূনতম বর্গক্ষেত্র (OLS) রিগ্রেশন×
ক্ষেত্রবেইসীয়বেইসীয়অর্থমিতি
পরিবারBayesian methodsBayesian methodsRegression model
উদ্ভবের বছর2019
প্রবর্তকWooldridge (textbook treatment); classical least squares
ধরনBayesian linear modelPosterior sampling algorithmLinear regression
মৌলিক উৎসGelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
অপর নামbayesian linear regression, probabilistic regression, bayesian regresyonmarkov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo)ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
সম্পর্কিত235
সারসংক্ষেপBayesian regression is a probabilistic version of linear regression that treats the model parameters as uncertain quantities. Instead of returning a single best-fit estimate, it combines prior knowledge with the observed data to produce a full posterior probability distribution for each parameter, from which credible intervals and predictions are read off.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.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).
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ScholarGateপদ্ধতির তুলনা করুন: Bayesian Regression · MCMC · OLS Regression. 2026-06-17 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare