Testing-optimal kernel choice in HAR inference

作者: Yixiao Sun , Jingjing Yang

DOI: 10.1016/J.JECONOM.2020.06.007

关键词: HeteroscedasticityVariance (accounting)Quadratic equationAutocorrelationApplied mathematicsPoint estimationKernel (statistics)MathematicsType I and type II errorsInference

摘要: Abstract The paper investigates the optimal kernel choice in heteroskedasticity and autocorrelation robust tests based on fixed-b asymptotics. In parallel with optimality of quadratic spectral under asymptotic mean squared error criterion point estimator long run variance as considered Andrews (1991) , we show that continues to hold testing-oriented Sun, Philips Jin (2008) which takes a weighted average probabilities type I II errors test.

参考文章(21)
P. C. B. Phillips, S. N. Durlauf, Multiple Time Series Regression with Integrated Processes The Review of Economic Studies. ,vol. 53, pp. 473- 495 ,(1986) , 10.2307/2297602
Peter C. B. Phillips, Victor Solo, Asymptotics for Linear Processes Annals of Statistics. ,vol. 20, pp. 971- 1001 ,(1992) , 10.1214/AOS/1176348666
Nicholas M. Kiefer, Timothy J. Vogelsang, HETEROSKEDASTICITY-AUTOCORRELATION ROBUST TESTING USING BANDWIDTH EQUAL TO SAMPLE SIZE Econometric Theory. ,vol. 18, pp. 1350- 1366 ,(2002) , 10.1017/S026646660218604X
Amir Yaron, John Heaton, Lars Peter Hansen, Finite sample properties of some alternative GMM estimators ,(2011)
Donald W. K. Andrews, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation Econometrica. ,vol. 59, pp. 817- 858 ,(1991) , 10.2307/2938229
David Preinerstorfer, Benedikt M. Pötscher, ON SIZE AND POWER OF HETEROSKEDASTICITY AND AUTOCORRELATION ROBUST TESTS Econometric Theory. ,vol. 32, pp. 261- 358 ,(2016) , 10.1017/S0266466614000899
Nicholas M. Kiefer, Timothy J. Vogelsang, A New Asymptotic Theory for Heteroskedasticity-Autocorrelation Robust Tests Econometric Theory. ,vol. 21, pp. 1130- 1164 ,(2005) , 10.1017/S0266466605050565
Nicholas M. Kiefer, Timothy J. Vogelsang, HETEROSKEDASTICITY-AUTOCORRELATION ROBUST STANDARD ERRORS USING THE BARTLETT KERNEL WITHOUT TRUNCATION Econometrica. ,vol. 70, pp. 2093- 2095 ,(2002) , 10.1111/1468-0262.00366
Benedikt M. Pötscher, David Preinerstorfer, Controlling the Size of Autocorrelation Robust Tests Journal of Econometrics. ,vol. 207, pp. 406- 431 ,(2018) , 10.1016/J.JECONOM.2018.08.005