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Bootstrap Standard Error Estimates and Inference

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  • Jinyong Hahn
  • Zhipeng Liao

Abstract

Asymptotic justification of the bootstrap often takes the form of weak convergence of the bootstrap distribution to some limit distribution. Theoretical literature recognized that the weak convergence does not imply consistency of the bootstrap second moment or the bootstrap variance as an estimator of the asymptotic variance, but such concern is not always reflected in the applied practice. We bridge the gap between the theory and practice by showing that such common bootstrap based standard error in fact leads to a potentially conservative inference.

Suggested Citation

  • Jinyong Hahn & Zhipeng Liao, 2021. "Bootstrap Standard Error Estimates and Inference," Econometrica, Econometric Society, vol. 89(4), pages 1963-1977, July.
    • Handle: RePEc:wly:emetrp:v:89:y:2021:i:4:p:1963-1977
    DOI: 10.3982/ECTA17912
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    References listed on IDEAS

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    Cited by:

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    6. Mayer, Alexander & Wied, Dominik, 2023. "Estimation and inference in factor copula models with exogenous covariates," Journal of Econometrics, Elsevier, vol. 235(2), pages 1500-1521.

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