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The American Statistician Volume 42, 1988 - Issue 3
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Teacher's Corner

A Central Limit Theorem for the Bootstrap Mean

Shie-Shien Yang Department of Statistics, Kansas State University, Manhattan, Kansas, 66506, USA
Pages 202-203 | Received 01 Mar 1987, Published online: 27 Feb 2012

References

  • Athreya , K. B. 1983 . “Strong Law for the Bootstrap” . Statistics and Probability Letters , 1 : 147 – 150 .
  • Beran , R. 1984 . “Bootstrap Methods in Statistics” . Jaahresbericht de Deutschen Mathematiker-Verein , 86 : 14 – 30 .
  • Bickel , P. J. and Freedman , D. 1981 . “Some Asymptotic Theory of the Bootstrap” . The Annals of Statistics , 9 : 1196 – 1217 .
  • Billingsley , P. 1979 . Probability and Measure , New York : John Wiley .
  • Efron , B. 1979 . “Bootstrap Methods: Another Look at the Jackknife” . The Annals of Statistics , 7 : 1 – 26 .
  • Efron , B. 1981 . The Jackknife, the Bootstrap, and Other Resampling Plans , Philadelphia : Society for Industrial and Applied Mathematics .
  • Hall , Peter . 1986 . “On the Bootstrap and Confidence Intervals” . The Annals of Statistics , 4 : 1431 – 1452 .
  • Singh , K. 1981 . “On the Asymptotic Accuracy of Efron's Bootstrap” . The Annals of Statistics , 9 : 1187 – 1196 .
  • Wu , C. F. J. 1986 . “Jackknife, Bootstrap and Other Resampling Methods in Regression Analysis” . The Annals of Statistics , 4 : 1261 – 1350 .

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