@article{AIHPB_1998__34_1_23_0,
author = {Cuesta-Albertos, J. A. and Matr\'an, C.},
title = {The asymptotic distribution of the bootstrap sample mean of an infinitesimal array},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {23--48},
year = {1998},
publisher = {Gauthier-Villars},
volume = {34},
number = {1},
mrnumber = {1617729},
zbl = {0907.62018},
language = {en},
url = {https://www.numdam.org/item/AIHPB_1998__34_1_23_0/}
}
TY - JOUR AU - Cuesta-Albertos, J. A. AU - Matrán, C. TI - The asymptotic distribution of the bootstrap sample mean of an infinitesimal array JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1998 SP - 23 EP - 48 VL - 34 IS - 1 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPB_1998__34_1_23_0/ LA - en ID - AIHPB_1998__34_1_23_0 ER -
%0 Journal Article %A Cuesta-Albertos, J. A. %A Matrán, C. %T The asymptotic distribution of the bootstrap sample mean of an infinitesimal array %J Annales de l'I.H.P. Probabilités et statistiques %D 1998 %P 23-48 %V 34 %N 1 %I Gauthier-Villars %U https://www.numdam.org/item/AIHPB_1998__34_1_23_0/ %G en %F AIHPB_1998__34_1_23_0
Cuesta-Albertos, J. A.; Matrán, C. The asymptotic distribution of the bootstrap sample mean of an infinitesimal array. Annales de l'I.H.P. Probabilités et statistiques, Tome 34 (1998) no. 1, pp. 23-48. https://www.numdam.org/item/AIHPB_1998__34_1_23_0/
[1] and , The Central Limit Theorem for Real and Banach Valued Random Variables. Wiley, 1980, New York. | Zbl | MR
[2] and , The Bootstrap of the Mean with Arbitrary Bootstrap Sample Size. Ann. Inst. Henri Poincaré, Prob. Stat., Vol. 25, 1989, pp. 457-481. | Zbl | MR | Numdam
[3] and , Additions and Correction to "the Bootstrap of the Mean with Arbitrary Bootstrap Sample Size". Ann. Inst. Henri Poincaré, Prob. Stat., Vol. 27, 1991, pp. 583-595. | Zbl | MR | Numdam
[4] , Bootstrap of the Mean in the Infinite Variance Case. Technical Report 86-22, Dept. of Statistics, 1984, Iowa State University.
[5] , Bootstrap of the Mean in the Infinite Variance Case. II. Technical Report 86-21, Dept. of Statistics, 1985, Iowa State University.
[6] , Bootstrap of the Mean in the Infinite Variance Case. Ann. Statist., Vol. 15, 1987, pp. 724-731. | Zbl | MR
[7] and , Some Asymptotic Theory for the Bootstrap. Ann. Statist., Vol. 9, 1981, pp. 1196-1217. | Zbl | MR
[8] , and , Resampling Fewer than n Observations: Gains, Losses and Remedies for Losses, 1994 Preprint.
[9] , and , Some Results on the Influence of Extremes on the Bootstrap. Ann. Inst. Henri Poincaré, Prob. Stat., Vol. 29, 1993, pp. 83-103. | Zbl | MR | Numdam
[10] and , Limit Distributions for Sums of Independent Random Variables., 1954, Addison-Wesley. Mass. | Zbl | MR
[11] , Asymptotic Properties of the Bootstrap for Heavy Tailed Distributions. Ann. Statist. Vol. 18, 1990, pp. 1342-1360. | Zbl | MR
[12] and , Comparison of Bootstrap and Asymptotic Approximations to the Distribution of a Heavy-Tailed Mean, 1993, Preprint. | MR
[13] , On the bootstrap of the sample mean in the infinite variance case. Ann. Statist. Vol. 17, 1989, pp. 1168-1175. | Zbl | MR
[14] , Bootstrap, wild bootstrap, and asymptotic normality. Probab. Theory Relat. Fields Vol. 93, 1992, pp. 439-455. | Zbl | MR
[15] and , Large Sample Confidence Regions Based on Subsamples under Minimal Assumptions. Ann. Statist. Vol. 22, 1994, pp. 2031-2050. | Zbl | MR
[16] , J. W. H., A Note in Proving that the (Modified) Bootstrap Works. Commun. Statist. Theory Meth., Vol. 15, 1986, pp. 3193-3203. | Zbl | MR





