@article{AIHPB_1999__35_3_371_0, author = {del Barrio, E. and Matr\'an, C. and Cuesta-Albertos, J. A.}, title = {Necessary conditions for the bootstrap of the mean of a triangular array}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {371--386}, publisher = {Gauthier-Villars}, volume = {35}, number = {3}, year = {1999}, mrnumber = {1689886}, zbl = {0930.62047}, language = {en}, url = {http://www.numdam.org/item/AIHPB_1999__35_3_371_0/} }
TY - JOUR AU - del Barrio, E. AU - Matrán, C. AU - Cuesta-Albertos, J. A. TI - Necessary conditions for the bootstrap of the mean of a triangular array JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1999 SP - 371 EP - 386 VL - 35 IS - 3 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPB_1999__35_3_371_0/ LA - en ID - AIHPB_1999__35_3_371_0 ER -
%0 Journal Article %A del Barrio, E. %A Matrán, C. %A Cuesta-Albertos, J. A. %T Necessary conditions for the bootstrap of the mean of a triangular array %J Annales de l'I.H.P. Probabilités et statistiques %D 1999 %P 371-386 %V 35 %N 3 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPB_1999__35_3_371_0/ %G en %F AIHPB_1999__35_3_371_0
del Barrio, E.; Matrán, C.; Cuesta-Albertos, J. A. Necessary conditions for the bootstrap of the mean of a triangular array. Annales de l'I.H.P. Probabilités et statistiques, Tome 35 (1999) no. 3, pp. 371-386. http://www.numdam.org/item/AIHPB_1999__35_3_371_0/
[1] The Central Limit Theorem for Real and Banach Valued Random Variables. Wiley, New York, 1980. | MR | Zbl
and ,[2] The Bootstrap of the Mean with Arbitrary Bootstrap Sample Size. Ann. Inst. Henri Poincaré, Prob. Stat., Vol. 25, 1989, pp. 457-481. | Numdam | MR | Zbl
and ,[3] Bootstrap of the Mean in the Infinite Variance Case. Proceedings of the 1st World Congress of the Bernoulli Society, Y. Prohorov and V. V. Sazonov, Eds., Vol. 2, 1987, pp. 95-98. VNU Science Press, The Netherlands. | MR | Zbl
,[4] Probability, Addison-Wesley, Reading, Mass, 1968. | MR | Zbl
,[5] MATRÁN C, The asymptotic distribution of the bootstrap sample mean of an infinitésimal array. Ann. Inst. Henri Poincaré, Prob. Stat., Vol. 34, 1998, pp. 23-48. | Numdam | MR | Zbl
and[6] An Introduction to Probability Theory and its Applications, Vol. II, Wiley, New York, 1966. | MR | Zbl
,[7] Necessary conditions for the bootstrap of the mean, Ann. Statist., Vol. 17, 1989, pp. 684-691. | MR | Zbl
and ,[8] Asymptotic Properties of the Bootstrap of Heavy Tailed Distributions, Ann. Statist., Vol. 18, 1990, pp. 1342-1360. | MR | Zbl
,[9] Bootstrap, wild bootstrap, and asymptotic normality, Probab. Theory Relat. Fields, Vol. 93, 1992, pp. 439-455. | MR | Zbl
,[10] A Note in Proving that the (Modified) Bootstrap Works, Commun. Statist. Theory Meth., Vol. 15, 1986, pp. 3193-3203. | MR | Zbl
,