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Hypothesis Testing with a Restricted Parameter Space

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Abstract

This paper considers hypothesis tests for nonlinear econometric models when the parameter space is restricted under the alternative hypothesis. Multivariate one-sided tests are a leading example. Asymptotically optimal tests are derived using a weighted average power criterion. In addition, the likelihood ratio test is shown to be asymptotically admissible and to maximize asymptotic power against alternatives that are arbitrarily distant from the null hypothesis. For Gaussian linear regression models with known variance, analogous exact finite sample results are established.

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File URL: http://cowles.econ.yale.edu/P/cp/p09b/p0960.pdf
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File URL: http://cowles.econ.yale.edu/P/cd/d10b/d1060-r.pdf
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Bibliographic Info

Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1060R.

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Length: 63 pages
Date of creation: Jun 1994
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Publication status: Published in Journal of Econometrics (1998), 84: 155-199
Handle: RePEc:cwl:cwldpp:1060r

Note: CFP 960.
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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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Cited by:
  1. Breitung, J. & Pesaran, M.H., 2005. "Unit Roots and Cointegration in Panels," Cambridge Working Papers in Economics 0535, Faculty of Economics, University of Cambridge.
  2. Peter Hansen, 2003. "Asymptotic Tests of Composite Hypotheses," Working Papers 2003-09, Brown University, Department of Economics.
  3. Kuswanto, Heri & Sibbertsen, Philipp, 2009. "Testing for Long Memory Against ESTAR Nonlinearities," Diskussionspapiere der Wirtschaftswissenschaftlichen Fakultät der Universität Hannover dp-427, Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  4. Mehmet Caner & Bruce E. Hansen, 1998. "Threshold Autoregressions with a Near Unit Root," Departmental Working Papers 9821, Bilkent University, Department of Economics.
  5. Duangkamon Chotikapanich & William E. Griffiths, 2003. "Averaging Lorenz Curves," Monash Econometrics and Business Statistics Working Papers 22/03, Monash University, Department of Econometrics and Business Statistics.
  6. Stephen G. Cecchetti & Anil K Kashyap & David W. Wilcox, 1995. "Do Firms Smooth the Seasonal in Production in a Boom? Theory and Evidence," NBER Working Papers 5011, National Bureau of Economic Research, Inc.
  7. Jan R. Magnus & Andrey L. Vasnev, 2007. "Local sensitivity and diagnostic tests," Econometrics Journal, Royal Economic Society, vol. 10(1), pages 166-192, 03.
  8. Markku Lanne, 2006. "Nonlinear dynamics of interest rate and inflation," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(8), pages 1157-1168.
  9. Hilmer, Christiana E. & Holt, Matthew T., 2000. "A Comparison Of Resampling Techniques When Parameters Are On A Boundary: The Bootstrap, Subsample Bootstrap, And Subsample Jackknife," 2000 Annual meeting, July 30-August 2, Tampa, FL 21810, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
  10. Andrews, Donald W K, 2001. "Testing When a Parameter Is on the Boundary of the Maintained Hypothesis," Econometrica, Econometric Society, vol. 69(3), pages 683-734, May.
  11. Oliver Linton & Douglas G. Steigerwald, 1995. "Adaptive Testing in ARCH Models," Cowles Foundation Discussion Papers 1105, Cowles Foundation for Research in Economics, Yale University.
  12. repec:her:chewps:2006/14 is not listed on IDEAS
  13. Joseph P. Romano & Azeem M. Shaikh & Michael Wolf, 2009. "Hypothesis testing in econometrics," IEW - Working Papers iewwp444, Institute for Empirical Research in Economics - University of Zurich.
  14. Jin Lee, 2000. "One-Sided Testing for ARCH Effect Using Wavelets," Econometric Society World Congress 2000 Contributed Papers 1214, Econometric Society.

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