@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://www.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://www.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://www.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://www.numdam.org/item/AIHPB_1989__25_4_457_0/
[1] 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
and ,[2] The Central Limit Theorem for Real and Banach Valued Random Variables, Wiley, New York, 1980. | MR | Zbl
and ,[3] Bootstrap for the Mean in the Infinite Variance Case, Technical report 86-22, Dept. of Statistics, Iowa State University, 1984.
,[4] Bootstrap for the Mean in the Infinite Variance Case, II, Technical Report 86-21, Dept. of Statistics, Iowa State University, 1985.
,[5] Some Asymptotic Theory for the Bootstrap, Ann. Statist., Vol. 9, 1981, pp. 1196-1217. | MR | Zbl
and ,[6] Bootstrapping Empirical Functions, Ann. Statist., Vol. 17, n° 4, 1989. | MR | Zbl
and ,[7] Bootstrap Methods: Another Look at the Jacknife, Ann. Statist., Vol. 7, 1979, pp. 1-26. | MR | Zbl
,[8] An Introduction to Probability Theory and its Applications, II, Wiley, New York, 1971. | MR | Zbl
,[9] Sums of Independent Random Variables and Sum of Their Squares, Publicacions Seccio Mat. U.A.B., Vol. 22, 1976, pp. 127-132. | MR
,[10] Some Limit Theorems for Empirical Processes, Ann. Probability, Vol. 12, 1984, pp. 929-989. | MR | Zbl
and ,[11] Bootstrapping General Empirical Measures, Ann. Probability, 1989 (to appear). | MR | Zbl
and ,[12] Necessary Conditions for the Boostrap of the Mean, Ann. Statist., Vol. 17, 1989, pp. 684-691. | MR | Zbl
and ,[13] Sums of Independent Banach Space Valued Random Variables, Studia Math., Vol. 52, 1974, pp. 159-186. | MR | Zbl
,[14] Probability Theory, 3rd Edition, VanNostrand-Reinhold, Princeton, New Jersey, 1963. | Zbl
,[15] Almost Sure Convergence, Academic Press, New York, 1974. | MR | Zbl
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