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	समय-परिवर्ती पैरामीटर एआरएमए मॉडल (टीवीपी-एआरएमए)	ARMA मॉडल (ऑटोरिग्रेसिव मूविंग एवरेज)
क्षेत्र	अर्थमिति	अर्थमिति
परिवार	Regression model	Regression model
उद्भव वर्ष	1976	1970
प्रवर्तक	Cooley & Prescott (1976); further formalised by Harvey (1989)	George E. P. Box and Gwilym M. Jenkins
प्रकार	State-space time series model	Time series model
मौलिक स्रोत	Cooley, T. F., & Prescott, E. C. (1976). Estimation in the presence of stochastic parameter variation. Econometrica, 44(1), 167–184.	Box, G. E. P., & Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control. Holden-Day.
उपनाम	TVP-ARMA, time-varying ARMA, state-space ARMA, locally stationary ARMA	ARMA, Box-Jenkins model, autoregressive moving average, AR(p)MA(q)
संबंधित	3	5
सारांश	The time-varying parameter ARMA (TVP-ARMA) model extends the classical ARMA framework by allowing the autoregressive and moving-average coefficients to evolve over time. Embedded in a state-space representation and estimated via the Kalman filter, it captures structural change and parameter instability in time series without requiring an explicit breakpoint.	The ARMA(p,q) model describes a stationary time series as a combination of two components: an autoregressive part that regresses the current value on its own past p values, and a moving average part that accounts for past q error terms. It is the foundational framework of the Box-Jenkins methodology for univariate time series modelling and short-run forecasting.