เปรียบเทียบวิธี

	แบบจำลองพารามิเตอร์แปรผันตามเวลาแบบผลกระทบสุ่ม	แบบจำลองเบย์เซียนสำหรับผลกระทบสุ่ม
สาขาวิชา	เศรษฐมิติ	เศรษฐมิติ
ตระกูล	Regression model	Regression model
ปีกำเนิด	1970–1975	1972–1995
ผู้ริเริ่ม	Swamy (1970); Hsiao (1975)	Lindley & Smith (1972); extended by Gelman, Rubin and colleagues
ประเภท	Panel regression with time-varying random coefficients	Bayesian hierarchical panel model
แหล่งต้นตำรับ	Swamy, P. A. V. B. (1970). Efficient inference in a random coefficient regression model. Econometrica, 38(2), 311–323.	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
ชื่อเรียกอื่น	TVP-RE model, random coefficient random effects model, time-varying random effects, TVP panel random effects	Bayesian hierarchical model, Bayesian mixed effects model, Bayesian multilevel model, BREM
ที่เกี่ยวข้อง	5	5
สรุป	The time-varying parameter random effects model extends the classic random effects panel framework by allowing regression coefficients to change over time and across units. Rather than imposing a single fixed slope for all individuals and periods, each coefficient is treated as a random draw that evolves, capturing genuine parameter instability while preserving the random effects assumption that unit-specific components are uncorrelated with the regressors.	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.