SMOOTH TRANSITION AUTOREGRESSIVE MODELS — A SURVEY OF RECENT DEVELOPMENTS

This paper surveys recent developments related to the smooth transition autoregressive (STAR) time series model and several of its variants. We put emphasis on new methods for testing for STAR nonlinearity, model evaluation, and forecasting. Several useful extensions of the basic STAR model, which concern multiple regimes, time-varying non-linear properties, and models for vector time series, are also reviewed.

[1]  Norman R. Swanson,et al.  Further developments in the study of cointegrated variables , 2010 .

[2]  K. Johansen.  Nonlinear Wage Responses to Internal and External Factors , 2002 .

[3]  Chung-Ming Kuan,et al.  The pseudo-true score encompassing test for non-nested hypotheses , 2002 .

[4]  Bruce E. Hansen,et al.  THRESHOLD AUTOREGRESSION WITH A UNIT ROOT , 2001 .

[5]  Mark P. Taylor,et al.  Nonlinear Mean‐Reversion in Real Exchange Rates: Toward a Solution To the Purchasing Power Parity Puzzles , 2001 .

[6]  Timo Teräsvirta,et al.  The Effects of Institutional and Technological Change and Business Cycle Fluctuations on Seasonal Patterns in Quarterly Industrial Production Series , 2001 .

[7]  Michael P. Clements,et al.  Evaluating forecasts from SETAR models of exchange rates , 2001 .

[8]  P. Franses,et al.  SETS, arbitrage activity, and stock price dynamics , 2000 .

[9]  Kenneth F. Wallis,et al.  Density Forecasting: A Survey , 2000 .

[10]  Timo Teräsvirta,et al.  Forecasting with smooth transition autoregressive models , 2000 .

[11]  Michael P. Clements,et al.  FORECASTING ECONOMIC TIME SERIES , 2000, Econometric Theory.

[12]  Bruce E. Hansen,et al.  Testing for linearity , 1999 .

[13]  Philip Hans Franses,et al.  A Multivariate STAR Analysis of the Relationship Between Money and Output , 1999 .

[14]  Simon M. Potter.  Nonlinear Time Series Modelling: An Introduction , 1999 .

[15]  Philip Hans Franses,et al.  Modeling Multiple Regimes in the Business Cycle , 1999, Macroeconomic Dynamics.

[16]  Timo Teräsvirta,et al.  MODELING ASYMMETRIES AND MOVING EQUILIBRIA IN UNEMPLOYMENT RATES , 1999, Macroeconomic Dynamics.

[17]  Timo Teräsvirta,et al.  Another look at Swedish business cycles, 1861–1988 , 1999 .

[18]  Gary Koop,et al.  Dynamic Asymmetries in U.S. Unemployment , 1999 .

[19]  Guyonne Kalb,et al.  Bayesian Arbitrage Threshold Analysis , 1999 .

[20]  Henry Ohlsson,et al.  Asymmetric Time Series and Temporal Aggregation , 1999, Review of Economics and Statistics.

[21]  N. Swanson.  Finite sample properties of a simple LM test for neglected nonlinearity in error‐correcting regression equations , 1999 .

[22]  Michael P. Clements,et al.  A Monte Carlo Study of the Forecasting Performance of Empirical Setar Models , 1999 .

[23]  Timo Teräsvirta,et al.  Modelling economic high-frequency time series , 1999 .

[24]  Charles L. Weise.  The asymmetric effects of monetary policy: a nonlinear vector , 1999 .

[25]  Timo Teräsvirta,et al.  A simple nonlinear time series model with misleading linear properties , 1999 .

[26]  Timo Teräsvirta,et al.  Modelling economic high-frequency time series with STAR-STGARCH models , 1998 .

[27]  Simon Potter,et al.  Nonlinear Impulse Response Functions , 1998 .

[28]  Anthony S. Tay,et al.  Evaluating Density Forecasts with Applications to Financial Risk Management , 1998 .

[29]  R. Tsay.  Testing and modeling multivariate threshold models , 1998 .

[30]  René Garcia,et al.  Série Scientifique Scientific Series Nº 95s-7 Asymptotic Null Distribution of the Likelihood Ratio Test in Markov Switching Models , 2022 .

[31]  Maxwell B. Stinchcombe,et al.  CONSISTENT SPECIFICATION TESTING WITH NUISANCE PARAMETERS PRESENT ONLY UNDER THE ALTERNATIVE , 1998, Econometric Theory.

[32]  J. Stock,et al.  A Comparison of Linear and Nonlinear Univariate Models for Forecasting Macroeconomic Time Series , 1998 .

[33]  Michael P. Clements,et al.  A Comparison of the Forecast Performance of Markov�?Switching and Threshold Autoregressive Models of Us Gnp , 1998 .

[34]  Farshid Vahid,et al.  Testing multiple equation systems for common nonlinear components , 1998 .

[35]  Ton Vorst,et al.  A Threshold Error Correction Model for Intraday Futures and Index Returns , 1998 .

[36]  Philip Rothman,et al.  Forecasting Asymmetric Unemployment Rates , 1998, Review of Economics and Statistics.

[37]  Paul Newbold,et al.  Unit roots and smooth transitions , 1998 .

[38]  Michael P. Clements,et al.  The Performance of Alternative Forecasting Methods for SETAR Models , 1997 .

[39]  Heather M. Anderson,et al.  Transaction Costs and Nonlinear Adjustment Towards Equilibrium in the US Treasury Bill Market , 1997 .

[40]  H. Krolzig.  Markov-Switching Vector Autoregressions: Modelling, Statistical Inference, and Application to Business Cycle Analysis , 1997 .

[41]  Alvaro Escribano,et al.  Improved Testing and Specification of Smooth Transition Regression Models , 1997 .

[42]  D. Peel,et al.  Transactions Costs and Nonlinear Adjustment in Real Exchange Rates; An Empirical Investigation , 1997, Journal of Political Economy.

[43]  B. M. Pötscher,et al.  Dynamic Nonlinear Econometric Models: Asymptotic Theory , 1997 .

[44]  M. Hashem Pesaran,et al.  A floor and ceiling model of US output , 1997 .

[45]  B. Hansen,et al.  Inference in TAR Models , 1997 .

[46]  W. E. Watt,et al.  Nested threshold autoregressive (NeTAR) models , 1997 .

[47]  Timo Teräsvirta,et al.  Modelling Economic Relationships with Smooth Transition Regressions , 1996 .

[48]  Timo Teräsvirta,et al.  Testing the adequacy of smooth transition autoregressive models , 1996 .

[49]  M. Hashem Pesaran,et al.  Impulse response analysis in nonlinear multivariate models , 1996 .

[50]  Marco Bianchi,et al.  Unemployment Persistence: Does the Size of the Shock Matter? , 1996 .

[51]  D. Peel,et al.  Is the US business cycle asymmetric? Some further evidence , 1996 .

[52]  Bruce E. Hansen,et al.  Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis , 1996 .

[53]  Bruce E. Hansen,et al.  Erratum: The likelihood ratio test under nonstandard conditions: Testing the Markov switching model of GNP , 1996 .

[54]  S. Johansen.  Likelihood-Based Inference in Cointegrated Vector Autoregressive Models , 1996 .

[55]  Martin Sola,et al.  Stylized facts and regime changes: Are prices procyclical? , 1995 .

[56]  C. Granger,et al.  Modelling Nonlinear Economic Relationships , 1995 .

[57]  Rob J. Hyndman,et al.  Highest‐density forecast regions for nonlinear and non‐normal time series models , 1995 .

[58]  Colin P. Hargreaves,et al.  Non-Stationary Time Series Analysis and Cointegration , 1994 .

[59]  J. Stock,et al.  Evidence on Structural Instability in Macroeconomic Time Series Relations , 1994 .

[60]  Andrew J. Filardo.  Business-Cycle Phases and Their Transitional Dynamics , 1994 .

[61]  Timo Teräsvirta,et al.  Testing the constancy of regression parameters against continuous structural change , 1994 .

[62]  Krishna Paudyal,et al.  THRESHOLD AUTOREGRESSIVE MODELING IN FINANCE: THE PRICE DIFFERENCES OF EQUIVALENT ASSETS , 1994 .

[63]  T. Teräsvirta.  Specification, Estimation, and Evaluation of Smooth Transition Autoregressive Models , 1994 .

[64]  Clive W. J. Granger,et al.  Strategies for Modelling Nonlinear Time‐Series Relationships* , 1993 .

[65]  Clive W. J. Granger,et al.  Testing for neglected nonlinearity in time series models: A comparison of neural network methods and alternative tests , 1993 .

[66]  Donald P. Morgan.  Asymmetric effects of monetary policy , 1993 .

[67]  Salih N. Neftçi.  Statistical Analysis of Shapes in Macroeconomic Time Series: Is There a Business Cycle? , 1993 .

[68]  T. Teräsvirta,et al.  Characterizing Nonlinearities in Business Cycles Using Smooth Transition Autoregressive Models , 1992 .

[69]  J. Gooijer,et al.  Some recent developments in non-linear time series modelling, testing, and forecasting☆ , 1992 .

[70]  D. Andrews,et al.  Optimal Tests When a Nuisance Parameter Is Present Only Under the Alternative , 1992 .

[71]  Philip Rothman,et al.  FURTHER EVIDENCE ON THE ASYMMETRIC BEHAVIOR OF UNEMPLOYMENT RATES OVER THE BUSINESS CYCLE , 1991 .

[72]  Guido Masarotto,et al.  Bootstrap prediction intervals for autoregressions , 1990 .

[73]  Lori A. Thombs,et al.  Bootstrap Prediction Intervals for Autoregression , 1990 .

[74]  James M. Nason,et al.  Nonparametric exchange rate prediction , 1990 .

[75]  J. Wooldridge.  A Unified Approach to Robust, Regression-Based Specification Tests , 1990, Econometric Theory.

[76]  Daniel E. Sichel.  Are Business Cycles Asymmetric? A Correction , 1989, Journal of Political Economy.

[77]  Timo Teräsvirta,et al.  Testing linearity against smooth transition autoregressive models , 1988 .

[78]  C. Jennison,et al.  Robust Statistics: The Approach Based on Influence Functions , 1987 .

[79]  John Law,et al.  Robust Statistics—The Approach Based on Influence Functions , 1986 .

[80]  L. Summers,et al.  Hysteresis in Unemployment , 1986 .

[81]  R. Tsay.  Nonlinearity tests for time series , 1986 .

[82]  Salih N. Neftçi.  Are Economic Time Series Asymmetric over the Business Cycle? , 1984, Journal of Political Economy.

[83]  D. B. Preston.  Spectral Analysis and Time Series , 1983 .

[84]  Leslie Godfrey,et al.  Testing the adequacy of a time series model , 1979 .

[85]  R. Davies.  Hypothesis testing when a nuisance parameter is present only under the alternative , 1977 .

[86]  P. Young,et al.  Time series analysis, forecasting and control , 1972, IEEE Transactions on Automatic Control.

[87]  David M. Grether,et al.  Forecasting Non-Stationary Economic Time Series , 1966 .

[88]  Gary Koop,et al.  Nonlinearity, Structural Breaks Or Outliers In Economic Time Series? , 2000 .

[89]  Philip Hans Franses,et al.  Nonlinear Time Series Models in Empirical Finance: Frontmatter , 2000 .

[90]  Denise R. Osborn,et al.  Business cycle non-linearities in UK consumption and production , 2000 .

[91]  Nicholas Sarantis,et al.  Modeling non-linearities in real effective exchange rates , 1999 .

[92]  Simon M. Potter,et al.  Dynamic asymmetries in US unemployment , 1999 .

[93]  P. Franses,et al.  Nonlinear Error-Correction Models for Interest Rates in The Netherlands , 1997 .

[94]  B. M. Pötscher,et al.  Dynamic Nonlinear Econometric Models , 1997 .

[95]  Rob J Hyndman,et al.  Computing and Graphing Highest Density Regions , 1996 .

[96]  Peter R. Locke,et al.  Index arbitrage and nonlinear dynamics between the S&P 500 futures and cash , 1996 .

[97]  Philip Hans Franses,et al.  Testing for Smooth Transition Nonlinearity in the Presence of Outliers , 1996 .

[98]  Simon M. Potter.  Nonlinear Models of Economic Fluctuations , 1995 .

[99]  J. Wooldridge.  Estimation and inference for dependent processes , 1994 .

[100]  Simon M. Potter.  Asymmetric Economic Propagation Mechanisms , 1994 .

[101]  Halbert White,et al.  Artificial neural networks: an econometric perspective ∗ , 1994 .

[102]  Jeffrey M. Wooldridge,et al.  On the application of robust, regression- based diagnostics to models of conditional means and conditional variances , 1991 .

[103]  R. Luukkonen,et al.  Lagrange multiplier tests for testing non-linearities in time series models , 1988 .

[104]  Timo Teräsvirta,et al.  Testing linearity in univariate, time series models , 1988 .

[105]  Timo Teräsvirta,et al.  Aspects of modelling nonlinear time series , 1986 .

[106]  J. MacKinnon,et al.  Heteroskedasticity-Robust Tests in Regression Directions , 1985 .

[107]  R. Douglas Martin,et al.  ROBUST METHODS FOR TIME SERIES , 1981 .

[108]  G. Lindgren.  Markov regime models for mixed distributions and switching regressions , 1978 .