مقایسهٔ روش‌ها

	مدل اثرات تصادفی با پارامترهای متغیر در زمان	مدل اثرات تصادفی پنل
حوزه	اقتصادسنجی	اقتصادسنجی
خانواده	Regression model	Regression model
سال پیدایش	1970–1975	1966
پدیدآور	Swamy (1970); Hsiao (1975)	Balestra & Nerlove
نوع	Panel regression with time-varying random coefficients	Panel data estimator
منبع بنیادین	Swamy, P. A. V. B. (1970). Efficient inference in a random coefficient regression model. Econometrica, 38(2), 311–323.	Balestra, P., & Nerlove, M. (1966). Pooling cross section and time series data in the estimation of a dynamic model: The demand for natural gas. Econometrica, 34(3), 585–612.
نام‌های دیگر	TVP-RE model, random coefficient random effects model, time-varying random effects, TVP panel random effects	random effects estimator, RE model, GLS random effects, error components model
مرتبط	5	5
خلاصه	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 panel random effects (RE) model treats individual-specific effects as random draws from a population distribution rather than fixed constants, enabling efficient estimation by generalised least squares and allowing inference about time-invariant regressors that are swept away in fixed effects estimation.