Simpler bootstrap estimation of the asymptotic variance of U-statistic-based estimators

Bo E. Honoré, Luojia Hu

Research output: Contribution to journalArticle

Abstract

The bootstrap is a popular and useful tool for estimating the asymptotic variance of complicated estimators. Ironically, the fact that the estimators are complicated can make the standard bootstrap computationally burdensome because it requires repeated recalculation of the estimator. In this paper, we propose a method that is specific to extremum estimators based on U-statistics. The contribution here is that rather than repeated recalculation of the U-statistic-based estimator, we can recalculate a related estimator based on single sums. A simulation study suggests that the approach leads to a good approximation to the standard bootstrap and that if this is the goal, then our approach is superior to numerical derivative methods.

Original languageEnglish (US)
Pages (from-to)1-10
Number of pages10
JournalEconometrics Journal
Volume21
Issue number1
DOIs
StatePublished - Feb 1 2018

All Science Journal Classification (ASJC) codes

  • Economics and Econometrics

Keywords

  • U-statistics
  • bootstrap
  • inference
  • numerical derivatives

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