@article{AIHPB_1993__29_1_83_0,
author = {Deheuvels, Paul and Mason, David M. and Shorack, Galen R.},
title = {Some results on the influence of extremes on the bootstrap},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {83--103},
year = {1993},
publisher = {Gauthier-Villars},
volume = {29},
number = {1},
mrnumber = {1204519},
zbl = {0774.62042},
language = {en},
url = {https://www.numdam.org/item/AIHPB_1993__29_1_83_0/}
}
TY - JOUR AU - Deheuvels, Paul AU - Mason, David M. AU - Shorack, Galen R. TI - Some results on the influence of extremes on the bootstrap JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1993 SP - 83 EP - 103 VL - 29 IS - 1 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPB_1993__29_1_83_0/ LA - en ID - AIHPB_1993__29_1_83_0 ER -
%0 Journal Article %A Deheuvels, Paul %A Mason, David M. %A Shorack, Galen R. %T Some results on the influence of extremes on the bootstrap %J Annales de l'I.H.P. Probabilités et statistiques %D 1993 %P 83-103 %V 29 %N 1 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPB_1993__29_1_83_0/ %G en %F AIHPB_1993__29_1_83_0
Deheuvels, Paul; Mason, David M.; Shorack, Galen R. Some results on the influence of extremes on the bootstrap. Annales de l'I.H.P. Probabilités et statistiques, Tome 29 (1993) no. 1, pp. 83-103. https://www.numdam.org/item/AIHPB_1993__29_1_83_0/
[1] and , The Bootstrap of the Mean with Arbitrary Bootrstrap Sample Size, Ann. Inst. Henri Poincaré, Vol. 25, 1989, pp. 457-481. | Zbl | MR | Numdam
[2] and , Additions and Corrections to the Bootstrap of the Mean with Arbitrary Bootrstrap Sample Size, Ann. Inst. Henri Poincaré, Vol. 27, 1992, pp. 583-595. | Zbl | MR | Numdam
[3] , Bootstrap for the Mean in the Infinite Variance Case II, Technical Report 86-21, Dept. of Statistics, Iowa State University, 1985.
[4] , Bootstrap of the Mean in the Infinite Variance Case, Ann. Statist., Vol. 15, 1987, pp. 724-731. | Zbl | MR
[5] and , Limit Laws for Order Statistics, In: Colloq. Math. Soc. János Bolyai. Limit' Theorems of Probability, P. RÉVÉSZ Ed., North Holland, Amsterdam, Vol. 11, 1975, pp. 17-22. | Zbl | MR
[6] and , Some Asymptotic Theory for the Bootstrap, Ann. Statist., Vol. 9, 1981, pp. 1196-1217. | Zbl | MR
[7] , Lois Limites du Bootstrap de Certaines Fonctionnelles, Ann. Inst. Henri Poincaré, Vol. 19, 1983, pp. 281-296. | Zbl | MR | Numdam
[8] , , and , Normal and Stable Convergence of Integral Functions of the Empirical Distribution Function, Ann. Probab., Vol. 14, 1986, pp. 86-118. | Zbl | MR
[9] , and , What Portion of the Sample Partial Sum Asymptotically Stable or Normal? Probab. Theory Related Fields, Vol. 72, 1986, pp. 1-16. | Zbl | MR
[10] , and , The Asymptotic Distribution of Trimmed Sums, Ann. Probab., Vol. 16, 1988 a, pp. 672-699. | Zbl | MR
[11] , and , A Probabilistic Approach to the Asymptotic Distribution of Sums of Independent, Identically Distributed Random Variables, Adv. in Appl. Math., Vol. 9, 1988 b, pp. 259-333. | Zbl | MR
[12] and , Bahadur-Kiefer-type Processes, Ann. Probab., Vol. 18, 1990, pp. 669-697. | Zbl | MR
[13] and , Strong Limit Theorems for Weighted Quantile Processes, Ann. Probab., Vol. 16, 1988, pp. 1623-1633. | Zbl | MR
[14] and , Asymptotic Normality and Subsequential Limits of Trimmed Sums, Ann. Probab., Vol. 17, 1989, pp. 1186-1219. | Zbl | MR
[15] , On Regular Variation and Its Application to the Weak Convergence of Sample Extremes, Mathematical Centre Tracts, Amsterdam, 1971. | Zbl
[16] , Asymptotic Properties of the Bootstrap for Heavy Tailed Distributions, Ann. Statist., Vol. 18, 1990, pp. 1342-1360. | Zbl | MR
[17] , A Functional Law of the Iterated Logarithm for Empirical Distributions, Ann. Probab., Vol. 3, 1975, pp. 763-772. | Zbl | MR
[18] , Deviations Between the Sample Quantile Process and the Sample D.F., In: Nonparametric Techniques in Statistical Inference, M. PURI, Ed., Press, London 1970, pp. 299-319, Cambridge Univ. | MR
[19] , On the Bootstrap of the Sample Mean in the Infinite Variance Case, Ann. Statist., Vol. 17, 1989, pp. 1168-1175. | Zbl | MR
[20] , The Asymptotic Distribution of Weighted Empirical Distributions, Stochastic Processes, Appl., Vol. 15, 1983, pp. 99-109. | Zbl | MR
[21] and , A Refinement of the KMT Inequality for the Uniform Empirical Process, Ann. Probab., Vol. 15, 1987, pp. 871-884. | Zbl | MR
[22] , On the Weak Convergence of Empirical Processes in Sup-Norm Metrics, Ann. Probab., Vol. 2, 1974, pp. 642-651. | Zbl
[23] and , Empirical Processes with Applications to Statistics, Wiley, New York, 1986. | Zbl | MR
[24] , Some Results for Linear Combinations, In: Sums, Trimmed Sums, and Extremes, M. G. HAHN, D. M. MASON and D. C. WEINER Eds., 1991 a, pp. 377-392, Progress in Probability, Birkhäuser, Boston, Vol. 23. | Zbl | MR
[25] , Uniform. CLT, WLLN, LIL and a Data Analytic Approach to Trimmed L-Statistics, Dept. of Statistics Technical Report, University of Washington, 1991 b.
[26] , A Note in Proving that the (Modified) Bootstrap Works, Commun. Statist. Theory Meth., Vol. 15, (11), 1986, pp. 3193-3203. | Zbl | MR






