Additions and correction to “The bootstrap of the mean with arbitrary bootstrap sample”

Miguel A. Arcones; Evarist Giné

Annales de l'I.H.P. Probabilités et statistiques (1991)

  • Volume: 27, Issue: 4, page 583-595
  • ISSN: 0246-0203

How to cite

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Arcones, Miguel A., and Giné, Evarist. "Additions and correction to “The bootstrap of the mean with arbitrary bootstrap sample”." Annales de l'I.H.P. Probabilités et statistiques 27.4 (1991): 583-595. <http://eudml.org/doc/77419>.

@article{Arcones1991,
author = {Arcones, Miguel A., Giné, Evarist},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {additions; correction; bootstrap central limit theorem; domain of attraction case; convergence of bootstrap moments; self-normalized limit theorems; -stable law},
language = {eng},
number = {4},
pages = {583-595},
publisher = {Gauthier-Villars},
title = {Additions and correction to “The bootstrap of the mean with arbitrary bootstrap sample”},
url = {http://eudml.org/doc/77419},
volume = {27},
year = {1991},
}

TY - JOUR
AU - Arcones, Miguel A.
AU - Giné, Evarist
TI - Additions and correction to “The bootstrap of the mean with arbitrary bootstrap sample”
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1991
PB - Gauthier-Villars
VL - 27
IS - 4
SP - 583
EP - 595
LA - eng
KW - additions; correction; bootstrap central limit theorem; domain of attraction case; convergence of bootstrap moments; self-normalized limit theorems; -stable law
UR - http://eudml.org/doc/77419
ER -

References

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  1. [1] A. Araujo and E. Giné, The Central Limit Theorem for Real and Banach Valued Random Variables, Wiley, New York, 1980. Zbl0457.60001MR576407
  2. [2] M.A. Arcones and E. Giné, The Bootstrap of the Mean with Arbitrary Bootstrap Sample Size, Ann. Inst. Henri Poincaré, Prob. Stat., Vol. 25, 1989, pp. 457-481. Zbl0712.62015MR1045246
  3. [3] D.J. Bickel and D.A. Freedman, Some Assymptotic Theory for the Bootstrap, Ann. Statist., Vol. 9, 1981, p. 1196-1217. Zbl0449.62034MR630103
  4. [4] M. Csörgö and L. Horvath, Asymptotic Representation of Self-Normalized Sums, Prob. Math. Statist., Vol. 9, 1988, pp. 15-24. Zbl0694.60016MR945676
  5. [5] R. Le PAGE, M. Woodroofe and J. Zinn, Convergence to a Stable Distribution via Order Statistics, Ann. Prob., Vol. 9, 1981, pp. 624-632. Zbl0465.60031MR624688
  6. [6] B.F. Logan, C.L. Mallows, S.O. Rice and L.A. Shepp, Limit Distributions of Self Normalized Sums, Ann. Prob., Vol. 1, 1973, pp. 788-809. Zbl0272.60016MR362449
  7. [7] W. Stout, Almost Sure Convergence, Academic Press, New York, 1974. Zbl0321.60022MR455094

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