The bootstrap of the mean with arbitrary bootstrap sample size
Annales de l'I.H.P. Probabilités et statistiques, Tome 25 (1989) no. 4, pp. 457-481.
corrigé par Additions and correction to “The bootstrap of the mean with arbitrary bootstrap sample” 
@article{AIHPB_1989__25_4_457_0,
     author = {Arcones, Miguel A. and Gin\'e, Evarist},
     title = {The bootstrap of the mean with arbitrary bootstrap sample size},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {457--481},
     publisher = {Gauthier-Villars},
     volume = {25},
     number = {4},
     year = {1989},
     mrnumber = {1045246},
     zbl = {0712.62015},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPB_1989__25_4_457_0/}
}
TY  - JOUR
AU  - Arcones, Miguel A.
AU  - Giné, Evarist
TI  - The bootstrap of the mean with arbitrary bootstrap sample size
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 1989
SP  - 457
EP  - 481
VL  - 25
IS  - 4
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPB_1989__25_4_457_0/
LA  - en
ID  - AIHPB_1989__25_4_457_0
ER  - 
%0 Journal Article
%A Arcones, Miguel A.
%A Giné, Evarist
%T The bootstrap of the mean with arbitrary bootstrap sample size
%J Annales de l'I.H.P. Probabilités et statistiques
%D 1989
%P 457-481
%V 25
%N 4
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPB_1989__25_4_457_0/
%G en
%F AIHPB_1989__25_4_457_0
Arcones, Miguel A.; Giné, Evarist. The bootstrap of the mean with arbitrary bootstrap sample size. Annales de l'I.H.P. Probabilités et statistiques, Tome 25 (1989) no. 4, pp. 457-481. http://archive.numdam.org/item/AIHPB_1989__25_4_457_0/

[1] A. De Acosta and E. Giné, Convergence of Moments and Related Functionals in the Central Limit Theorem in Banach Spaces, Zeits. Wahrs. Verw. Geb., Vol. 48, 1979, pp. 213-231. | MR | Zbl

[2] A. Araujo and E. Giné, The Central Limit Theorem for Real and Banach Valued Random Variables, Wiley, New York, 1980. | MR | Zbl

[3] K.B. Athreya, Bootstrap for the Mean in the Infinite Variance Case, Technical report 86-22, Dept. of Statistics, Iowa State University, 1984.

[4] K.B. Athreya, Bootstrap for the Mean in the Infinite Variance Case, II, Technical Report 86-21, Dept. of Statistics, Iowa State University, 1985.

[5] D.J. Bickel and D.A. Freedman, Some Asymptotic Theory for the Bootstrap, Ann. Statist., Vol. 9, 1981, pp. 1196-1217. | MR | Zbl

[6] S. Csörgö and D. Mason, Bootstrapping Empirical Functions, Ann. Statist., Vol. 17, n° 4, 1989. | MR | Zbl

[7] B. Efron, Bootstrap Methods: Another Look at the Jacknife, Ann. Statist., Vol. 7, 1979, pp. 1-26. | MR | Zbl

[8] W. Feller, An Introduction to Probability Theory and its Applications, II, Wiley, New York, 1971. | MR | Zbl

[9] E. Giné, Sums of Independent Random Variables and Sum of Their Squares, Publicacions Seccio Mat. U.A.B., Vol. 22, 1976, pp. 127-132. | MR

[10] E. Giné and J. Zinn, Some Limit Theorems for Empirical Processes, Ann. Probability, Vol. 12, 1984, pp. 929-989. | MR | Zbl

[11] E. Giné and J. Zinn, Bootstrapping General Empirical Measures, Ann. Probability, 1989 (to appear). | MR | Zbl

[12] E. Giné and J. Zinn, Necessary Conditions for the Boostrap of the Mean, Ann. Statist., Vol. 17, 1989, pp. 684-691. | MR | Zbl

[13] J. Hoffmann-Jorgensen, Sums of Independent Banach Space Valued Random Variables, Studia Math., Vol. 52, 1974, pp. 159-186. | MR | Zbl

[14] M. Loève, Probability Theory, 3rd Edition, VanNostrand-Reinhold, Princeton, New Jersey, 1963. | Zbl

[15] W. Stout, Almost Sure Convergence, Academic Press, New York, 1974. | MR | Zbl