Bootstrap standard error estimates for linear regression

Journal of the American Statistical Association

Volumn 100, Issue 471, 2005, Pages 970-979

  Gonçalves, Sílvia ^a   White, Halbert ^b  

^a Canada H3A 2T7   (Canada)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Moving blocks bootstrap; Studentized statistic

Indexed keywords

EID: 24644510838     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214504000002087     Document Type: Review

References (38)

1. Andrews, D. W. K. (1984), "Non-Strong Mixing Autoregressive Processes," Journal of Applied Probability, 21, 930-934.
2. _ (1988), "Laws of Large Numbers for Dependent Nonidentically Distributed Random Variables," Econometric Theory, 4, 458-467.
3. _ (1991), "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, 59, 817-858.
4. Billingsley, P. (1968), Convergence of Probability Measures, New York: Wiley.
5. _ (1995), Probability and Measure, New York: Wiley.
6. Buchinsky, M. (1995), "Estimating the Asymptotic Covariance Matrix for Quantile Regression Models: A Monte Carlo Study," Journal of Econometrics, 68, 303-338.
7. Davidson, J. (1994), Stochastic Limit Theory, Oxford, U.K.: Oxford University Press.
8. _ (2002), "Establishing Conditions for the Functional Central Limit Theorem in Nonlinear and Semiparametric Time Series Processes," Journal of Econometrics, 106, 243-269.
9. Davidson, R., and MacKinnon, J. G. (1999), "Bootstrap Testing in Nonlinear Models," International Economic Review, 40, 487-508.
10. Davison, A. C., and Hall, P. (1993), "On Studentizing and Blocking Methods for Implementing the Bootstrap With Dependent Data," Australian Journal of Statistics, 35, 215-224.
11. Efron, B. (1979), "Bootstrap Methods: Another Look at the Jackknife," The Annals of Statistics, 1, 1-26.
12. Efron, B., and Tibshirani, R. J. (1986), "Bootstrap Methods for Standard Errors, Confidence Intervals and Other Measures of Statistical Accuracy" (with discussion), Statistica Sinica, 1, 54-77.
13. Fitzenberger, B. (1997), "The Moving Blocks Bootstrap and Robust Inference for Linear Least Squares and Quantile Regressions," Journal of Econometrics, 82, 235-287.
14. Freedman, D. A., and Peters, S. C. (1984), "Bootstrapping a Regression Equation: Some Empirical Results," Journal of the American Statistical Association, 79, 97-106.
15. Gallant, A. R., and White, H. (1988), A Unified Theory of Estimation and Inference for Nonlinear Dynamic Models, New York: Basil Blackwell.
16. Ghosh, M., Parr, W. C., Singh, K., and Babu, G. J. (1984), "A Note on Bootstrapping the Sample Median," The Annals of Statistics, 12, 1130-1135.
17. Gonçalves, S. (2000), "The Bootstrap for Dependent Heterogeneous Processes," unpublished doctoral dissertation, University of California, San Diego.
18. Gonçalves, S., and White, H. (2002), "The Bootstrap of the Mean for Dependent Heterogeneous Arrays," Econometric Theory, 18, 1367-1384.
19. _ (2004), "Maximum Likelihood and the Bootstrap for Nonlinear Dynamic Models," Journal of Econometrics, 119, 199-219.
20. Götze, F., and Künsch, H. R. (1996), "Second-Order Correctness of the Blockwise Bootstrap for Stationary Observations," The Annals of Statistics, 24, 1914-1933.
21. Hahn, J. (1995), "Bootstrapping Quantile Regression Estimators," Econometric Theory, 11, 105-121.
22. Hansen, B. E. (1991), "Strong Laws for Dependent Heterogeneous Processes," Econometric Theory, 7, 213-221.
23. _ (1992), "Erratum," Econometric Theory, 8, 421-422.
24. Hodrick, R. J. (1992), "Dividend Yields and Expected Stock Returns: Alternative Procedures for Inference and Measurement," Review of Financial Studies, 5, 357-386.
25. Kilian, L. (1999), "Exchange Rates and Monetary Fundamentals: What Do We Learn From Long Horizon Regressions?" Journal of Applied Econometrics, 14, 491-510.
26. Kirby, C. (1998), "The Restrictions on Predictability Implied by Rational Asset Pricing Models," Review of Financial Studies, 11, 343-382.
27. Künsch, H. R. (1989), "The Jackknife and the Bootstrap for General Stationary Observations," The Annals of Statistics, 17, 1217-1241.
28. Li, H., and Maddala, G. S. (1999), "Bootstrap Variance Estimation of Nonlinear Functions of Parameters: An Application to Long-Run Elasticities of Energy Demand," Review of Economics and Statistics, 81, 728-733.
29. Liu, R. Y., and Singh, K. (1992a), "Moving Blocks Jackknife and Bootstrap Capture Weak Dependence," in Exploring the Limits of the Bootstrap, eds. R. LePage and L. Billiard, New York: Wiley, pp. 225-248.
30. _ (1992b), "Efficiency and Robustness in Resampling," The Annals of Statistics, 20, 370-384.
31. Mark, N. (1995), "Exchange Rates and Fundamentals: Evidence on Long-Run Predictability," American Economic Review, 85, 201-218.
32. McLeish, D. L. (1975), "A Maximal Inequality and Dependent Strong Laws," The Annals of Probability, 5, 616-621.
33. Politis, D., and Romano, J. (1994), "The Stationary Bootstrap," Journal of the American Statistical Association, 89, 1303-1313.
34. Politis, D., Romano, J., and Wolf, M. (1997), "Subsampling for Heteroskedastic Time Series," Journal of Econometrics, 81, 281-317.
35. Romano, J., and Wolf, M. (2003), "Improved Nonparametric Confidence Intervals in Time Series Regressions," mimeo, University of Pompeu Fabra, Dept. of Economics and Business.
36. Shao, J. (1992), "Bootstrap Variance Estimators With Truncation," Statistics and Probability Letters, 15, 95-101.
37. Shao, J., and Tu, D. (1995), The Jackknife and Bootstrap, New York: Springer-Verlag.
38. Strang, G. (1988), Linear Algebra and Its Applications (3rd ed.), Orlando, FL: Harcourt.