Pötscher, Benedikt M. and Preinerstorfer, David (2016): Controlling the Size of Autocorrelation Robust Tests.
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Abstract
Autocorrelation robust tests are notorious for suffering from size distortions and power problems. We investigate under which conditions the size of autocorrelation robust tests can be controlled by an appropriate choice of critical value.
Item Type: | MPRA Paper |
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Original Title: | Controlling the Size of Autocorrelation Robust Tests |
English Title: | Controlling the Size of Autocorrelation Robust Tests |
Language: | English |
Keywords: | Autocorrelation robust tests, size control |
Subjects: | C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C22 - Time-Series Models ; Dynamic Quantile Regressions ; Dynamic Treatment Effect Models ; Diffusion Processes |
Item ID: | 75657 |
Depositing User: | Benedikt Poetscher |
Date Deposited: | 19 Dec 2016 21:40 |
Last Modified: | 26 Sep 2019 23:58 |
References: | Andrews, D. W. K. (1991). Heteroskedasticity and autocorrelation consistent covariance matrix estimation. Econometrica, 59 817-858. Andrews, D. W. K. and Guggenberger, P. (2009). Hybrid and size-corrected subsampling methods. Econometrica, 77 721-762. Andrews, D. W. K. and Monahan, J. C. (1992). An improved heteroskedasticity and autocorrelation consistent covariance matrix estimator. Econometrica, 60 953-966. Barndorff-Nielsen, O. and Schou, G. (1973). On the parametrization of autoregressive models by partial autocorrelations. Journal of Multivariate Analysis, 3 408- 419. Berge, C. (1963). Topological spaces: Including a treatment of multi-valued functions, vector spaces and convexity. Oliver & Boyd. Cambanis, S., Huang, S. and Simons, G. (1981). On the theory of elliptically contoured distributions. Journal of Multivariate Analysis, 11 368-385. Grenander, U. and Rosenblatt, M. (1957). Statistical analysis of stationary time series. John Wiley & Sons, New York. Grenander, U. and Szego, G. (1958). Toeplitz forms and their applications. California Monographs in Mathematical Sciences, University of California Press, Berkeley-Los Angeles. Guggenberger, P., Kleibergen, F., Mavroeidis, S. and Chen, L. (2012). On the asymptotic sizes of subset Anderson-Rubin and Lagrange multiplier tests in linear instrumental variables regression. Econometrica, 80 2649-2666. Horn, R. A. (1990). The Hadamard product. In Matrix theory and applications (Phoenix, AZ, 1989), vol. 40 of Proc. Sympos. Appl. Math. Amer. Math. Soc., Providence, RI, 87-169. Jones, M. C. (1987). Randomly choosing parameters from the stationarity and invertibility region of autoregressive-moving average models. Journal of the Royal Statistical Society. Series C (Applied Statistics), 36 134-138. Kelley, W. G. and Peterson, A. C. (2001). Difference equations. 2nd ed. Harcourt/Academic Press, San Diego, CA. An introduction with applications. Kiefer, N. M. and Vogelsang, T. J. (2002a). Heteroskedasticity-autocorrelation robust standard errors using the Bartlett kernel without truncation. Econometrica, 70 2093-2095. Kiefer, N. M. and Vogelsang, T. J. (2002b). Heteroskedasticity-autocorrelation robust testing using bandwidth equal to sample size. Econometric Theory, 18 1350-1366. Kiefer, N. M. and Vogelsang, T. J. (2005). A new asymptotic theory for heteroskedasticityautocorrelation robust tests. Econometric Theory, 21 1130-1164. Kiefer, N. M., Vogelsang, T. J. and Bunzel, H. (2000). Simple robust testing of regression hypotheses. Econometrica, 68 695-714. Krein, M. G. and Nudel'man, A. A. (1977). The Markov moment problem and extremal problems. American Mathematical Society, Providence, R.I. McCracken, M. W. and Ng, S. (2016). FRED-MD: A monthly database for macroeconomic research. Journal of Business & Economic Statistics, 34 574-589. Mikusheva, A. (2007). Uniform inference in autoregressive models. Econometrica, 75 1411-1452. Milnor, J. W. (1997). Topology from the differentiable viewpoint. Princeton Landmarks in Mathematics, Princeton University Press, Princeton, NJ. Based on notes by David W.Weaver, Revised reprint of the 1965 original. Moreira, M. J. (2009). Tests with correct size when instruments can be arbitrarily weak. Journal of Econometrics, 152 131-140. Nelder, J. A. and Mead, R. (1965). A simplex method for function minimization. The Computer Journal, 7 308-313. Newey, W. K. and West, K. D. (1987). A simple, positive semi-definite, heteroskedasticity and autocorrelation consistent covariance matrix. Econometrica, 55 703-708. Newey, W. K. and West, K. D. (1994). Automatic lag selection in covariance matrix estimation. The Review of Economic Studies, 61 631-653. Phillips, P. C., Sun, Y. and Jin, S. (2006). Spectral density estimation and robust hypothesis testing using steep origin kernels without truncation. International Economic Review, 47 837-894. Phillips, P. C., Sun, Y. and Jin, S. (2007). Long run variance estimation and robust regression testing using sharp origin kernels with no truncation. Journal of Statistical Planning and Inference, 137 985-1023. Porat, B. (1994). Digital processing of random signals: theory and methods. Prentice-Hall, Inc. Preinerstorfer, D. (2014). Finite sample properties of tests based on prewhitened nonparametric covariance estimators. Working Paper, Department of Statistics, University of Vienna. Preinerstorfer, D. (2016). acrt: Autocorrelation robust testing. Version 1.0. URL https://CRAN.R-project.org/package=acrt. Preinerstorfer, D. and Pötscher, B. M. (2016). On size and power of heteroskedasticity and autocorrelation robust tests. Econometric Theory, 32 261-358. Preinerstorfer, D. and Pötscher, B. M. (2017). On the power of invariant tests for hypotheses on a covariance matrix. Econometric Theory, 33 1-68. Robinson, G. (1979). Conditional properties of statistical procedures. Annals of Statistics, 7 742-755. Romano, J. P. and Shaikh, A. M. (2012). On the uniform asymptotic validity of subsampling and the bootstrap. Ann. Statist., 40 2798-2822. Rozanov, Y. A. (1967). Stationary random processes. Translated from the Russian by A. Feinstein, Holden-Day, Inc., San Francisco, Calif.-London-Amsterdam. Rudin, W. (1987). Real and complex analysis. McGraw-Hill Education. Stoica, P. and Moses, R. (2005). Spectral analysis of signals. Prentice Hall, New Jersey. Sun, Y., Phillips, P. C. and Jin, S. (2011). Power maximization and size control in heteroskedasticity and autocorrelation robust tests with exponentiated kernels. Econometric Theory, 27 1320-1368. Sun, Y., Phillips, P. C. B. and Jin, S. (2008). Optimal bandwidth selection in heteroskedasticity-autocorrelation robust testing. Econometrica, 76 175-194. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/75657 |
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