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Bootstrap inversion of Edgeworth expansions for nonparametric confidence intervals

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Publication:1122901
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DOI10.1016/0167-7152(89)90122-3zbMath0676.62045OpenAlexW1975229854MaRDI QIDQ1122901

Robert K. Rayner

Publication date: 1989

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(89)90122-3

zbMATH Keywords

confidence intervalsMonte Carlo studynormal approximationEdgeworth expansionStudentized statisticsboostrap


Mathematics Subject Classification ID

Nonparametric tolerance and confidence regions (62G15)


Related Items

Confidence intervals in ridge regression by bootstrapping the dependent variable: a simulation study



Cites Work

  • Unnamed Item
  • Inverting an Edgeworth expansion
  • Expansions for the distribution and quantiles of a regular functional of the empirical distribution with applications to nonparametric confidence intervals
  • Edgeworth corrected pivotal statistics and the bootstrap
  • On the bootstrap and confidence intervals
  • Some asymptotic theory for the bootstrap
  • Estimated sampling distributions: The bootstrap and competitors
  • On the asymptotic accuracy of Efron's bootstrap
  • On the validity of the formal Edgeworth expansion
  • Bootstrap methods: another look at the jackknife
  • Prepivoting to reduce level error of confidence sets
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