Numerical issues in threshold autoregressive modeling of time series
This paper analyses the contribution of various numerical approaches to making the estimation of threshold autoregressive time series more efficient. It relies on the computational advantages of QR factorizations and proposes Givens transformations to update these factors for sequential LS problems. By showing that the residual sum of squares is a continuous rational function over threshold intervals it develops a new fitting method based on rational interpolation and the standard necessary optimality condition. Taking as benchmark a simple grid search, the paper illustrates via Monte Carlo simulations the efficiency gains of the proposed tools.
(This abstract was borrowed from another version of this item.)
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Enders, Walter & Granger, Clive W J, 1998.
"Unit-Root Tests and Asymmetric Adjustment with an Example Using the Term Structure of Interest Rates,"
Journal of Business & Economic Statistics,
American Statistical Association, vol. 16(3), pages 304-11, July.
- Enders, Walter & Granger, C. W. J., 1998. "Unit Root Tests and Asymmetric Adjustment with an Example Using the Term Structure of Interest Rates," Staff General Research Papers Archive 1388, Iowa State University, Department of Economics.
- Mehmet Caner & Bruce E. Hansen, 1998.
"Threshold Autoregressions with a Near Unit Root,"
9821, Department of Economics, Bilkent University.
- Coakley, Jerry & Fuertes, Ana-Maria, 2001. "A Non-linear Analysis of Excess Foreign Exchange Returns," Manchester School, University of Manchester, vol. 69(6), pages 623-42, December.
- Balke, Nathan S & Fomby, Thomas B, 1997.
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 627-45, August.
- Tom Doan, . "RATS programs to replicate Balke-Fomby threshold cointegration," Statistical Software Components RTZ00010, Boston College Department of Economics.
- Balke, Nathan S. & Fomby, Thomas B., 1992. "Threshold cointegration," Working Papers 9209, Federal Reserve Bank of Dallas.
- Kapetanios, G., 1999. "Model Selection in Threshold Models," Cambridge Working Papers in Economics 9906, Faculty of Economics, University of Cambridge.
- Pesaran, H.M. & Potter, S.M., 1995.
"A Floor and Ceiling Model of U.S. Output,"
Cambridge Working Papers in Economics
9407, Faculty of Economics, University of Cambridge.
- Kapetanios, G., 1999. "Threshold Models for Trended Time Series," Cambridge Working Papers in Economics 9905, Faculty of Economics, University of Cambridge.
- Philip Rothman, 1999. "Time Series Evidence on Whether Adjustment to Long-Run Equilibrium is Asymmetric," Working Papers 9904, East Carolina University, Department of Economics.
- Coakley, Jerry & Fuertes, Ana-Maria, 2001. "Border costs and real exchange rate dynamics in Europe," Journal of Policy Modeling, Elsevier, vol. 23(6), pages 669-676, August.
When requesting a correction, please mention this item's handle: RePEc:eee:dyncon:v:27:y:2003:i:11-12:p:2219-2242. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Shamier, Wendy)
If references are entirely missing, you can add them using this form.