مقایسهٔ روش‌ها

	آزمون هاوسمن پارامتر متغیر با زمان	مدل فضای حالت (فیلتر کالمن)
حوزه	اقتصادسنجی	اقتصادسنجی
خانواده	Regression model	Regression model
سال پیدایش	1978 (Hausman); TVP extension developed through 1980s–2000s	1990
پدیدآور	Hausman (1978) specification test framework extended to time-varying parameter settings	Harvey; Durbin & Koopman (state space treatment); Kalman filter
نوع	Specification / endogeneity test	State space time series model
منبع بنیادین	Hausman, J. A. (1978). Specification tests in econometrics. Econometrica, 46(6), 1251-1271.	Harvey, A. C. (1990). Forecasting, Structural Time Series Models and the Kalman Filter. Cambridge University Press.
نام‌های دیگر	TVP Hausman test, time-varying Hausman specification test, Hausman test with time-varying parameters, TVP endogeneity test	state space, Kalman filter, unobserved components model, Durum Uzayı Modeli (State Space / Kalman Filter)
مرتبط	3	4
خلاصه	The time-varying parameter Hausman test extends Hausman's (1978) classic specification test to models whose coefficients are allowed to evolve over time. It compares an efficient estimator (e.g., OLS or GLS assuming constant parameters) with a consistent estimator from a time-varying parameter model, using the contrast between them to detect parameter instability or endogeneity in dynamic settings.	A state space model is a general time series framework that describes a series through unobserved (latent) state variables linked by a measurement equation and a transition equation, with the states estimated in real time by the Kalman filter. Developed in the state space tradition of Harvey (1990) and Durbin & Koopman (2012), it nests ARIMA and exponential smoothing as special cases.