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स्मूथ ट्रांज़िशन ऑटोरिग्रेसिव (STAR) मॉडल×एआरएफआईएमए: भिन्नात्मक समाकलित एआरएमए मॉडल×क्वांटाइल रिग्रेशन×
क्षेत्रअर्थमितिअर्थमितिअर्थमिति
परिवारRegression modelRegression modelRegression model
उद्भव वर्ष199419801978
प्रवर्तकTeräsvirta (1994); van Dijk, Teräsvirta & Franses (2002)Granger & Joyeux (1980); Hosking (1981)Koenker & Bassett
प्रकारNonlinear time-series regime-switching modelLong-memory time series modelConditional quantile regression
मौलिक स्रोतTeräsvirta, T. (1994). Specification, Estimation, and Evaluation of Smooth Transition Autoregressive Models. Journal of the American Statistical Association, 89(425), 208–218. DOI ↗Granger, C. W. J. & Joyeux, R. (1980). An Introduction to Long-Memory Time Series Models and Fractional Differencing. Journal of Time Series Analysis, 1(1), 15–29. DOI ↗Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗
उपनामsmooth transition autoregressive model, LSTAR, ESTAR, logistic STARfractionally integrated ARMA, long-memory time series model, ARFIMA / FIGARCH, fractional differencing modelconditional quantile regression, regression quantiles, Kantil Regresyon
संबंधित455
सारांशThe Smooth Transition Autoregressive (STAR) model is a nonlinear time-series model, developed in Teräsvirta's 1994 framework, that lets the dynamics move smoothly rather than abruptly between two regimes. The logistic variant (LSTAR) captures asymmetric business cycles and the exponential variant (ESTAR) captures purchasing-power-parity deviations.ARFIMA is a time series model that captures long-memory behaviour using a fractional differencing parameter d, generalising the integer differencing of ARIMA. It was introduced by Granger and Joyeux (1980) and formalised by Hosking (1981) to describe series whose autocorrelations decay slowly rather than abruptly.Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails.
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