Rank statistics approach in generalized bootstrap

Marie Hušková

Kybernetika (1995)

  • Volume: 31, Issue: 3, page 293-296
  • ISSN: 0023-5954

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Hušková, Marie. "Rank statistics approach in generalized bootstrap." Kybernetika 31.3 (1995): 293-296. <http://eudml.org/doc/27874>.

@article{Hušková1995,
author = {Hušková, Marie},
journal = {Kybernetika},
keywords = {exchangeably weighted bootstrap procedure; empirical distribution; quantile function; mean; Hajek's rank statistics; a.s. consistency; resampling schemes},
language = {eng},
number = {3},
pages = {293-296},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Rank statistics approach in generalized bootstrap},
url = {http://eudml.org/doc/27874},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Hušková, Marie
TI - Rank statistics approach in generalized bootstrap
JO - Kybernetika
PY - 1995
PB - Institute of Information Theory and Automation AS CR
VL - 31
IS - 3
SP - 293
EP - 296
LA - eng
KW - exchangeably weighted bootstrap procedure; empirical distribution; quantile function; mean; Hajek's rank statistics; a.s. consistency; resampling schemes
UR - http://eudml.org/doc/27874
ER -

References

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  1. M. Aerts, P. Janssen, Weighted bootstrapping for U-quantiles, Submitted. Zbl0813.62038
  2. J. Hájek, Some extensions of the Wald-Wolfowitz-Noether theorem, Ann. Math. Statist. 32 (1961), 506-523. (1961) MR0130707
  3. B. Efron, Bootstrap methods: Another look at the jackknife, Ann. Statist. 7 (1979), 1-26. (1979) Zbl0406.62024MR0515681
  4. B. Efron, The Jackknife, the Bootstrap, and Other Resampling Plans, SIAM, Philadelphia 1982. (1982) Zbl0496.62036MR0659849
  5. M. Hušková, P. Janssen, Generalized bootstrap for studentized U-statistics: a rank statistic approach, Statist. Probab. Lett. 16 (1993), 225-233. (1993) MR1208512
  6. M. Hušková, P. Janssen, Consistency of the generalized bootstrap for degenerate U-statistics, Ann. Statist. 21 (1993), 1811-1823. (1993) MR1245770
  7. J. Jurečková, Jaroslav Hájek and asymptotic theory of rank tests, Kybernetika 31 (1995), 239-250. (1995) MR1337979
  8. D. M. Mason, M. A. Newton, A rank statistic approach to the consistency of a general bootstrap, Ann. Statist. 20 (1992), 1611-1624. (1992) MR1186268
  9. J. Praestgaard, J. Wellneг, Exchangeably weighted bootstraps of the general empirical process, Ann. Probab. 21 (1993), 2053-2086. (1993) MR1245301

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