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Testing-optimal kernel choice in HAR inference

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Abstract The paper investigates the optimal kernel choice in heteroskedasticity and autocorrelation robust tests based on the fixed-b asymptotics. In parallel with the optimality of the quadratic spectral kernel under… Click to show full abstract

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

Keywords: kernel; choice har; optimal kernel; kernel choice; testing optimal

Journal Title: Journal of Econometrics
Year Published: 2020

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