Optimal bandwidth selection in heteroskedasticity-autocorrelation robust testing
成果类型:
Article
署名作者:
Sun, Yixiao; Phillips, Peter C. B.; Jin, Sainan
署名单位:
University of California System; University of California San Diego; Yale University; University of Auckland; University of York - UK; Peking University
刊物名称:
ECONOMETRICA
ISSN/ISSBN:
0012-9682
DOI:
10.1111/j.0012-9682.2008.00822.x
发表日期:
2008
页码:
175-194
关键词:
摘要:
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.
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