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Simulation-Based Finite-Sample Tests for Heteroskedasticity and ARCH Effects

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  • Dufour, J.M.
  • Khalaf, L.
  • Bernard, J.T.
  • Genest, I.

Abstract

In this paper we describe a solution to the problem of controlling the size of homoskedasticity tests in linear regression contexts.

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Bibliographic Info

Paper provided by Centre interuniversitaire de recherche en économie quantitative, CIREQ in its series Cahiers de recherche with number 2001-08.

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Length: 42 pages
Date of creation: 2001
Date of revision:
Handle: RePEc:mtl:montec:2001-08

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Keywords: REGRESSION ANALYSIS ; ECONOMIC MODELS ; TESTS;

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References

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  2. Honda, Yuzo, 1988. "A size correction to the Lagrange multiplier test for heteroskedasticity," Journal of Econometrics, Elsevier, vol. 38(3), pages 375-386, July.
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  4. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-30, March.
  5. Jean-Thomas Bernard & Jean-Marie Dufour & Ian Genest & Lynda Khalaf, 2001. "Simulation-Based Finite-Sample Tests for Heteroskedasticity and ARCH Effects," CIRANO Working Papers 2001s-25, CIRANO.
  6. Cribari-Netoa, Francisco & Ferrari, Silvia L. P., 1995. "Bartlett-corrected tests for heteroskedastic linear models," Economics Letters, Elsevier, vol. 48(2), pages 113-118, May.
  7. Maekawa, Koichi, 1988. "Comparing the Wald, LR and LM tests for heteroscedasticity in a linear regression model," Economics Letters, Elsevier, vol. 26(1), pages 37-41.
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  9. Andrews, Donald W K, 1993. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, Econometric Society, vol. 61(4), pages 821-56, July.
  10. Dufour, Jean-Marie, 1989. "Nonlinear Hypotheses, Inequality Restrictions, and Non-nested Hypotheses: Exact Simultaneous Tests in Linear Regressions," Econometrica, Econometric Society, vol. 57(2), pages 335-55, March.
  11. Sharma, Subhash C. & Giaccotto, Carmelo, 1991. "Power and robustness of jackknife and likelihood-ratio tests for grouped heteroscedasticity," Journal of Econometrics, Elsevier, vol. 49(3), pages 343-372, September.
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  17. DUFOUR, Jean-Marie & KHALAF, Lynda, 2000. "Exact Tests for Contemporaneous Correlation of Disturbances in Seemingly Unrelated Regressions," Cahiers de recherche 2000-11, Universite de Montreal, Departement de sciences economiques.
  18. DUFOUR, Jean-Marie & KHALAF, Lynda, 2000. "Simulation-Based Finite and Large Sample Tests in Multivariate Regressions," Cahiers de recherche 2000-10, Universite de Montreal, Departement de sciences economiques.
  19. Kiviet, Jan F. & Dufour, Jean-Marie, 1997. "Exact tests in single equation autoregressive distributed lag models," Journal of Econometrics, Elsevier, vol. 80(2), pages 325-353, October.
  20. Harrison, M J, 1980. "The Small Sample Performance of the Szroeter Bounds Test for Heteroscedasticity and a Simple Test for Use When Szroeter's Test is Inconclusive," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 42(3), pages 235-50, August.
  21. F. Cribari-Neto & S. G. Zarkos, 1999. "Bootstrap methods for heteroskedastic regression models: evidence on estimation and testing," Econometric Reviews, Taylor & Francis Journals, vol. 18(2), pages 211-228.
  22. James G. MacKinnon & Halbert White, 1983. "Some Heteroskedasticity Consistent Covariance Matrix Estimators with Improved Finite Sample Properties," Working Papers 537, Queen's University, Department of Economics.
  23. Evans, Merran, 1992. "Robustness of size of tests of autocorrelation and heteroscedasticity to nonnormality," Journal of Econometrics, Elsevier, vol. 51(1-2), pages 7-24.
  24. King, Maxwell L, 1981. "A Note on Szroeter's Bounds Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 43(3), pages 315-21, August.
  25. Szroeter, Jerzy, 1978. "A Class of Parametric Tests for Heteroscedasticity in Linear Econometric Models X1-ab," Econometrica, Econometric Society, vol. 46(6), pages 1311-27, November.
  26. DUFOUR, Jean-Marie & TORRÈS, Olivier, 2000. "Markovian Processes, Two-Sided Autoregressions and Finite-Sample Inference for Stationary and Nonstationary Autoregressive Processes," Cahiers de recherche 2000-12, Universite de Montreal, Departement de sciences economiques.
  27. Robert F. Engle & David F. Hendry & David Trumble, 1985. "Small-Sample Properties of ARCH Estimators and Tests," Canadian Journal of Economics, Canadian Economics Association, vol. 18(1), pages 66-93, February.
  28. Donald W.K. Andrews, 1999. "Testing When a Parameter Is on the Boundary of the Maintained Hypothesis," Cowles Foundation Discussion Papers 1229, Cowles Foundation for Research in Economics, Yale University.
  29. Evans, Merran A. & King, Maxwell L., 1985. "A point optimal test for heteroscedastic disturbances," Journal of Econometrics, Elsevier, vol. 27(2), pages 163-178, February.
  30. Binkley, James K, 1992. "Finite Sample Behavior of Tests for Grouped Heteroskedasticity," The Review of Economics and Statistics, MIT Press, vol. 74(3), pages 563-68, August.
  31. Koenker, Roger, 1981. "A note on studentizing a test for heteroscedasticity," Journal of Econometrics, Elsevier, vol. 17(1), pages 107-112, September.
  32. Dufour, J.M. & Kiviet, J.F., 1995. "Exact Inference Methods for First-Order Autoregressive Distributed Lag Models," Cahiers de recherche 9547, Universite de Montreal, Departement de sciences economiques.
  33. Hansen, Bruce E., 2000. "Testing for structural change in conditional models," Journal of Econometrics, Elsevier, vol. 97(1), pages 93-115, July.
  34. Newey, Whitney K & Powell, James L, 1987. "Asymmetric Least Squares Estimation and Testing," Econometrica, Econometric Society, vol. 55(4), pages 819-47, July.
  35. Ali, Mukhtar M. & Giaccotto, Carmelo, 1984. "A study of several new and existing tests for heteroscedasticity in the general linear model," Journal of Econometrics, Elsevier, vol. 26(3), pages 355-373, December.
  36. Dufour, Jean-Marie & Kiviet, Jan F., 1996. "Exact tests for structural change in first-order dynamic models," Journal of Econometrics, Elsevier, vol. 70(1), pages 39-68, January.
  37. Koenker, Roger & Bassett, Gilbert, Jr, 1982. "Robust Tests for Heteroscedasticity Based on Regression Quantiles," Econometrica, Econometric Society, vol. 50(1), pages 43-61, January.
  38. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
  39. Godfrey, Leslie G., 1996. "Some results on the Glejser and Koenker tests for heteroskedasticity," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 275-299.
  40. Harrison, M J, 1982. "Tables of Critical Values for a Beta Approximation to Szroeter's Statistic for Testing for Heteroscedasticity," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 44(2), pages 159-67, May.
  41. Griffiths, W. E. & Surekha, K., 1986. "A Monte Carlo evaluation of the power of some tests for heteroscedasticity," Journal of Econometrics, Elsevier, vol. 31(2), pages 219-231, March.
  42. Lee, John H H & King, Maxwell L, 1993. "A Locally Most Mean Powerful Based Score Test for ARCH and GARCH Regression Disturbances," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(1), pages 17-27, January.
  43. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-38, May.
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