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	Panel Autoregressive (Panel AR) Model	पैनल एआरईएमए मॉडल
क्षेत्र	अर्थमिति	अर्थमिति
परिवार	Regression model	Regression model
उद्भव वर्ष	1980s-2000s	1970s–2000s
प्रवर्तक	Hsiao, C.; Arellano, M.	Extension of Box-Jenkins ARIMA (Box & Jenkins, 1970) to panel settings; formalised in panel econometrics literature (Hsiao, 2003)
प्रकार	Autoregressive time-series model for panel data	Time-series model applied to panel data
मौलिक स्रोत	Hsiao, C. (2003). Analysis of Panel Data (2nd ed.). Cambridge University Press. ISBN: 978-0521522717	Hsiao, C. (2003). Analysis of Panel Data (2nd ed.). Cambridge University Press. ISBN: 978-0521522717
उपनाम	panel autoregressive model, PAR model, AR model for panel data, panel AR(p)	Panel ARIMA, ARIMA for panel data, cross-sectional ARIMA, multi-unit ARIMA
संबंधित	5	5
सारांश	The Panel AR model extends the classical univariate autoregressive model to panel data, capturing how each unit's own past values predict its current value while controlling for unobserved individual heterogeneity through fixed or random effects. It is foundational for modelling dynamic persistence in micro or macro panel datasets.	The Panel ARIMA model extends the classical Box-Jenkins ARIMA framework to panel data, fitting autoregressive integrated moving-average dynamics to multiple cross-sectional units observed over time. It accommodates unit-specific short-run dynamics and non-stationarity, making it suitable for forecasting and dynamic analysis when both cross-sectional and temporal dimensions are present.