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Approximate Asymptotic Distribution Functions for Unit-Root and Cointegration Tests

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  • MacKinnon, James G

Abstract

Monte Carlo experiments and response surface regressions are used to calculate approximate asymptotic distribution functions for a number of well-known unit root and cointegration test statistics. These allow empirical workers to calculate approximate P values for these tests. The results of the paper are based on an extensive set of Monte Carlo experiments, which yield finite-sample quantiles for several sample sizes. Response surface regressions are then used to obtain asymptotic quantiles for a large number of different test sizes. Finally, approximate distribution functions with simple functional forms are estimated from these asymptotic quantiles.

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Bibliographic Info

Article provided by American Statistical Association in its journal Journal of Business and Economic Statistics.

Volume (Year): 12 (1994)
Issue (Month): 2 (April)
Pages: 167-76

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Handle: RePEc:bes:jnlbes:v:12:y:1994:i:2:p:167-76

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  1. Phillips, Peter C B & Ouliaris, S, 1990. "Asymptotic Properties of Residual Based Tests for Cointegration," Econometrica, Econometric Society, vol. 58(1), pages 165-93, January.
  2. Allan W. Gregory, 1991. "Testing for Cointegration in Linear Quadratic Models," Working Papers 811, Queen's University, Department of Economics.
  3. Engle, Robert F. & Yoo, Byung Sam, 1987. "Forecasting and testing in co-integrated systems," Journal of Econometrics, Elsevier, vol. 35(1), pages 143-159, May.
  4. Engle, R. F. & Granger, C. W. J. (ed.), 1991. "Long-Run Economic Relationships: Readings in Cointegration," OUP Catalogue, Oxford University Press, number 9780198283393, September.
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