Optimal Bandwidth Selection in Heteroskedasticity-Autocorrelation Robust Testing

Yixiao Sun, Peter Phillips and Sainan Jin

Econometrica, 2008, vol. 76, issue 1, 175-194

Abstract: This paper considers studentized tests in time series regressions with nonparametrically autocorrelated errors. The studentization is based on robust standard errors with truncation lag M=bT for some constant b is an element of (0, 1] and sample size T. It is shown that the nonstandard fixed-b limit distributions of such nonparametrically studentized tests provide more accurate approximations to the finite sample distributions than the standard small-b limit distribution. We further show that, for typical economic time series, the optimal bandwidth that minimizes a weighted average of type I and type II errors is larger by an order of magnitude than the bandwidth that minimizes the asymptotic mean squared error of the corresponding long-run variance estimator. A plug-in procedure for implementing this optimal bandwidth is suggested and simulations (not reported here) confirm that the new plug-in procedure works well in finite samples. Copyright The Econometric Society 2008.

Date: 2008
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Working Paper: Optimal Bandwidth Selection in Heteroskedasticity-Autocorrelation Robust Testing (2006)
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