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A Unified Frequency Domain Cross-Validatory Approach to HAC Standard Error Estimation

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  • Zhihao Xu
  • Clifford M. Hurvich

Abstract

A unified frequency domain cross-validation (FDCV) method is proposed to obtain a heteroskedasticity and autocorrelation consistent (HAC) standard error. This method enables model/tuning parameter selection across both parametric and nonparametric spectral estimators simultaneously. The candidate class for this approach consists of restricted maximum likelihood-based (REML) autoregressive spectral estimators and lag-weights estimators with the Parzen kernel. Additionally, an efficient technique for computing the REML estimators of autoregressive models is provided. Through simulations, the reliability of the FDCV method is demonstrated, comparing favorably with popular HAC estimators such as Andrews-Monahan and Newey-West.

Suggested Citation

  • Zhihao Xu & Clifford M. Hurvich, 2021. "A Unified Frequency Domain Cross-Validatory Approach to HAC Standard Error Estimation," Papers 2108.06093, arXiv.org, revised Jun 2023.
    • Handle: RePEc:arx:papers:2108.06093
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    1. Zhuoxun Li & Clifford M. Hurvich, 2025. "Automatic Order, Bandwidth Selection and Flaws of Eigen Adjustment in HAC Estimation," Papers 2509.23256, arXiv.org, revised Oct 2025.

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