The grid bootstrap and the autoregressive model

Review of Economics and Statistics

Volumn 81, Issue 4, 1999, Pages 594-607

  Hansen, Bruce E ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040122116     PISSN: 00346535     EISSN: None     Source Type: Journal    
DOI: 10.1162/003465399558463     Document Type: Article

References (33)

1. Abadir, K. M., "The Limiting Distribution of the Autocorrelation Coefficient under a Unit Root," The Annals of Statistics 21 (1993), 1058-1070.
2. Anderson, T. W., and H. Rubin, "Estimation of the Parameters of a Single Equation in a Complete System of Stochastic Equations," The Annals of Mathematical Statistics 20 (1949), 46-63.
3. Andrews, D. W. K., "Exactly Median-Unbiased Estimation of First-Order Autoregressive/Unit Root Models," Econometrica 61 (1993), 139-166.
4. Andrews, D. W. K., and H.-Y. Chen, "Approximately Median-Unbiased Estimation of Autoregressive Models," Journal of Business and Economic Statistics 12 (1994), 187-204.
5. Basawa, I. V., A. K. Mallik, W. P. McCormick, J. H. Reeves, and R. L. Taylor, "Bootstrapping Unstable First-Order Autoregressive Processes," Annals of Statistics 19 (1991), 1098-1101.
6. Beran, R., "Prepivoting to Reduce Level Error of Confidence Sets," Biometrika 74 (1987), 457-468.
7. Bickel, P. J., and D. A. Freedman, "Some Asymptotic Theory for the Bootstrap," Annals of Statistics 9 (1981), 1196-1217.
8. Bose, A., "Edgeworth Correction by Bootstrap in Autoregressions," Annals of Statistics 16 (1989), 1709-1722.
9. Carpenter, J., "Test Inversion Bootstrap Confidence Intervals," Journal of the Royal Statistical Society, Series B 61 (1999), 159-172.
10. Chamberlain, G., "Quantile Regression, Censoring, and the Structure of Wages," in C. Sims (ed.), Advances in Econometrics: Sixth World Congress (1994), 171-209.
11. Cramér, H., Mathematical Methods of Statistics (Princeton: Princeton University Press, 1946).
12. Davidson, J., Stochastic Limit Theory: An Introduction for Econometricians (Oxford: Oxford University Press, 1994).
13. DiCiccio, T. J., and J. P. Romano, "Nonparametric Confidence Limits by Resampling Methods and Least Favorable Families," International Statistical Review 58 (1990), 59-76.
14. Diebold, F. X., and A. S. Senhadji, "The Uncertain Unit Root in Real GNP: Comment," American Economic Review 86 (1996), 1291-1298.
15. Dufour, J. M., "Some Impossibility Theorems in Econometrics with Applications to Structural and Dynamic Models," Econometrica 65 (1997), 1365-1387.
16. Efron, B., and R. J. Tibshirani, An Introduction to the Bootstrap (New York: Chapman-Hall, 1993).
17. Fuller, W. A., Introduction to Statistical Time Series, 2nd Ed. (New York: Wiley, 1996).
18. Garthwaite, P. H., and S. T. Buckland, "Generating Monte Carlo Confidence Intervals by the Robbins-Monro Process," Applied Statistician 41 (1992), 159-171.
19. Hall, P., "Theoretical Comparison of Bootstrap Confidence Intervals" (with discussion). Annals of Statistics 16 (1988), 927-985.
20. _ The Bootstrap and Edgeworth Expansion (New York: Springer-Verlag, 1992).
21. Hansen, B. E., "Convergence to Stochastic Integrals for Dependent Heterogeneous Processes," Econometric Theory 7 (1992), 489-500.
22. Kabaila, P., "Some Properties of Profile Bootstrap Confidence Intervals," Australian Journal of Statistics 35 (1993), 205-214.
23. Kilian, L., "Small-Sample Confidence Intervals for Impulse Response Functions," this REVIEW 80 (1998), 218-230.
24. Knight, J. L., and S. E. Satchell, "Asymptotic Expansions for Random Walks with Normal Errors," Econometric Theory 10 (1993), 363-376.
25. Mallows, C. L., "A Note on Asymptotic Joint Normality," Annals of Mathematical Statistics 39 (1972), 755-771.
26. Nankervis, J. C., and N. E. Savin, "The Level and Power of the Bootstrap t Test in the AR(1) Model with Trend," Journal of Business and Economic Statistics 14 (1996), 161-168.
27. Nelson, C. R., and C. I. Plosser, "Trends and Random Walks in Macroeconomic Time Series," Journal of Monetary Economics 10 (1982), 139-162.
28. Phillips, P. C. B., "Approximations to Some Finite Sample Distributions Associated with a First-Order Stochastic Difference Equation," Econometrica 45 (1977), 463-485.
29. Phillips, P. C. B., and V. Solo, "Asymptotics for Linear Processes," The Annals of Statistics 20 (1992), 971-1001.
30. Romano, J. P., and M. Wolf, "Subsampling Confidence Intervals for the Autoregressive Root," unpublished manuscript, Department of Statistics, Stanford University (1998).
31. Schotman, P. C., and H. K. van Dijk, "On Bayesian Routes to Unit Roots," Journal of Applied Econometrics 6 (1991), 387-401.
32. Shao, J., and D. Tu, The Jackknife and Bootstrap (New York: Springer, 1995).
33. Stock, J. H., "Confidence Intervals for the Largest Autoregressive Root in U.S. Macroeconomic Time Series," Journal of Monetary Economics 28 (1991), 435-460.