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ऑटोरेग्रेसिव इंटीग्रेटेड मूविंग एवरेज (ARIMA) मॉडल×स्टेट स्पेस मॉडल (कलमन फिल्टर)×
क्षेत्रअर्थमितिअर्थमिति
परिवारRegression modelRegression model
उद्भव वर्ष20151990
प्रवर्तकBox & Jenkins (Box-Jenkins methodology)Harvey; Durbin & Koopman (state space treatment); Kalman filter
प्रकारUnivariate time-series modelState space time series model
मौलिक स्रोतBox, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Harvey, A. C. (1990). Forecasting, Structural Time Series Models and the Kalman Filter. Cambridge University Press. DOI ↗
उपनामBox-Jenkins model, ARIMA(p,d,q), ARIMA Modelistate space, Kalman filter, unobserved components model, Durum Uzayı Modeli (State Space / Kalman Filter)
संबंधित54
सारांशARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015).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.
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