পদ্ধতির তুলনা করুন

	বেয়েশীয়ান OLS (বেয়েশীয়ান অর্ডিনারি লিস্ট স্কোয়ারস রিগ্রেশন)	বেয়েশীয় র্যান্ডম ইফেক্টস মডেল
ক্ষেত্র	অর্থমিতি	অর্থমিতি
পরিবার	Regression model	Regression model
উদ্ভবের বছর	1971	1972–1995
প্রবর্তক	Arnold Zellner	Lindley & Smith (1972); extended by Gelman, Rubin and colleagues
ধরন	Bayesian linear regression	Bayesian hierarchical panel model
মৌলিক উৎস	Zellner, A. (1971). An Introduction to Bayesian Inference in Econometrics. Wiley. ISBN: 978-0471169376	Gelman, 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
অপর নাম	Bayesian linear regression, Bayesian normal regression, BLR, Bayesian least squares	Bayesian hierarchical model, Bayesian mixed effects model, Bayesian multilevel model, BREM
সম্পর্কিত	5	5
সারসংক্ষেপ	Bayesian 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.