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Optimal Tests For Nested Model Selection With Underlying Parameter Instability

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Author Info
Rossi, Barbara

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Abstract

This paper develops optimal tests for model selection between two nested models in the presence of underlying parameter instability. These are joint tests for both parameter instability and a null hypothesis on a subset of the parameters. They modify the existing tests for parameter instability to allow the parameter vector to be unknown. These test statistics are useful if one is interested in testing a null hypothesis on some parameters but is worried about the possibility that the parameters may be time varying. The paper provides the asymptotic distributions of this class of test statistics and their critical values for some interesting cases.I thank M. Watson for the idea of this paper and for numerous discussions, suggestions, comments, and teaching. I am grateful to T. Clark, G. Chow, R. Gallant, F. Sowell, N. Swanson, E. Tamer, and A. Tarozzi and also to the co-editor and two referees and to seminar participants at the University of Virginia, ECARES Universit Libre de Brussels, the 2001 Triangle Econometrics Conference, the 2002 NBER Summer Institute, the 2003 Summer Meetings of the Econometric Society, and the 2003 EC2 Conference for comments. Financial support from IFS Summer Research, Princeton University, is gratefully acknowledged. All mistakes are mine.

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Publisher Info
Article provided by Cambridge University Press in its journal Econometric Theory.

Volume (Year): 21 (2005)
Issue (Month): 05 (October)
Pages: 962-990
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Handle: RePEc:cup:etheor:v:21:y:2005:i:05:p:962-990_05

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  1. Todd E. Clark & Michael W. McCracken, 2002. "Forecast-based model selection in the presence of structural breaks," Research Working Paper RWP 02-05, Federal Reserve Bank of Kansas City. [Downloadable!]
  2. Barbara Rossi, 2005. "Are Exchange Rates Really Random Walks? Some Evidence Robust to Parameter Instability," International Finance 0503006, EconWPA. [Downloadable!]
    Other versions:
  3. Raffaella Giacomini & Barbara Rossi, 2006. "Detecting and predicting forecast breakdowns," Working Paper Series 638, European Central Bank. [Downloadable!]
    Other versions:
  4. Barry Eichengreen & Ashoka Mody & Milan Nedeljkovic & Lucio Sarno, 2009. "How the Subprime Crisis Went Global: Evidence from Bank Credit Default Swap Spreads," NBER Working Papers 14904, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  5. Yu-chin Chen & Kenneth Rogoff & Barbara Rossi, 2008. "Can Exchange Rates Forecast Commodity Prices?," Working Papers UWEC-2008-11, University of Washington, Department of Economics. [Downloadable!]
    Other versions:
  6. Sarno, Lucio & Valente, Giorgio & Wohar, Mark E, 2003. "Monetary Fundamentals and Exchange Rate Dynamics under Different Nominal Regimes," CEPR Discussion Papers 3983, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  7. Lutz Kilian & Atsushi Inoue, 2002. "In-Sample or out-of-sample tests of predictability: which one should we use?," Working Paper Series 195, European Central Bank. [Downloadable!]
    Other versions:
  8. Todd E. Clark & Michael W. McCracken, 2001. "Evaluating long-horizon forecasts," Research Working Paper RWP 01-14, Federal Reserve Bank of Kansas City. [Downloadable!]
  9. Tatevik Sekhposyan & Barbara Rossi, 2009. "Has Economic Models’ Forecasting Performance for US Output Growth and Inflation Changed Over Time, and When?," Working Papers 09-06, Duke University, Department of Economics. [Downloadable!]
  10. Zagaglia, Paolo, 2006. "Does the Yield Spread Predict the Output Gap in the U.S.?," Research Papers in Economics 2006:5, Stockholm University, Department of Economics. [Downloadable!]
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