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베이지안 OLS (베이지안 일반 최소 제곱 회귀)×베이지안 랜덤 효과 모형×
분야계량경제학계량경제학
계열Regression modelRegression model
기원 연도19711972–1995
창시자Arnold ZellnerLindley & Smith (1972); extended by Gelman, Rubin and colleagues
유형Bayesian linear regressionBayesian hierarchical panel model
원전Zellner, A. (1971). An Introduction to Bayesian Inference in Econometrics. Wiley. ISBN: 978-0471169376Gelman, 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
별칭Bayesian linear regression, Bayesian normal regression, BLR, Bayesian least squaresBayesian hierarchical model, Bayesian mixed effects model, Bayesian multilevel model, BREM
관련55
요약Bayesian OLS combines the classical linear regression likelihood with prior distributions over the coefficients and error variance. Rather than reporting point estimates, it produces full posterior distributions that quantify both estimated effects and their uncertainty. The approach is especially valuable when prior knowledge is available or when samples are small.The Bayesian random effects model combines panel-data random effects with a Bayesian prior framework, allowing unit-specific effects to be treated as draws from a population distribution whose hyperparameters are estimated from the data. This produces regularised, uncertainty-quantified estimates that borrow strength across units — particularly valuable for short panels, sparse groups, or settings where frequentist variance-component estimation is unstable.
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