@article{AIHPB_2000__36_5_547_0,
author = {Louhichi, Sana},
title = {Weak convergence for empirical processes of associated sequences},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {547--567},
year = {2000},
publisher = {Gauthier-Villars},
volume = {36},
number = {5},
mrnumber = {1792655},
zbl = {0968.60019},
language = {en},
url = {https://www.numdam.org/item/AIHPB_2000__36_5_547_0/}
}
TY - JOUR AU - Louhichi, Sana TI - Weak convergence for empirical processes of associated sequences JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2000 SP - 547 EP - 567 VL - 36 IS - 5 PB - Gauthier-Villars UR - https://www.numdam.org/item/AIHPB_2000__36_5_547_0/ LA - en ID - AIHPB_2000__36_5_547_0 ER -
Louhichi, Sana. Weak convergence for empirical processes of associated sequences. Annales de l'I.H.P. Probabilités et statistiques, Tome 36 (2000) no. 5, pp. 547-567. https://www.numdam.org/item/AIHPB_2000__36_5_547_0/
[1] , , An introduction to functional central limit theorems for dependent stochastic processes, Int. Stat. Rev. 62 (1994) 119-132. | Zbl
[2] , Probability and Measure, Wiley, New York, 1968.
[3] , Basic properties of strong mixing conditions, in: Eberlein E., Taqqu M.S. (Eds.), Dependence in Probability and Statistics, Birkhäuser, Boston, 1986, pp. 165-192. | Zbl | MR
[4] , , , An invariance principle for weakly associated random variables, Stoch. Proc. Appl. 23 (1986) 301-306. | Zbl | MR
[5] , Mixing: Properties and Examples, Lecture Notes in Statist., Vol. 85, Springer-Verlag, Berlin, 1994. | Zbl | MR
[6] , , , Invariance principle for the empirical measure of a weakly dependent process, Ann. I.H.P. 31 (2) (1995) 393-427. | Zbl | MR | Numdam
[7] , , , Association of random variables with applications, Ann. Math. Stat. 38 (1967) 1466-1476. | Zbl | MR
[8] , , A central limit theorem for the empirical process of a long memory linear sequence, Preprint, 1994.
[9] , Asymptotic independence and limit theorems for positively and negatively dependent random variables, in: Tong Y.L. (Ed.), Inequalities in Statistics and Probability, I.M.S. Lecture Notes-Monograph Series, Vol. 5, 1984, pp. 127-140. | MR
[10] , Limit Theorems of Probability Theory: Sequences of Independent Random Variables, Clarendon Press, Oxford, 1995. | Zbl | MR
[11] , Positively correlated normal variables are associated, Ann. Probab. 10 (1982) 496-499. | Zbl | MR
[12] , , Some mixing properties of time series models, Stoch. Proc. Appl. 19 (1985) 297-303. | Zbl | MR
[13] , , Weak convergence for weighted empirical processes of dependent sequences, Ann. Probab. 24 (4) (1996) 2052-2078. | Zbl | MR
[14] , , Some limit theorems for random functions, Theory Probab. Appl. 4 (1959) 178-197. | Zbl | MR
[15] , A Glivenko-Cantelli lemma and weak convergence for empirical processes of associated sequences, Probab. Theory Related Fields 95 (1993) 357-370. | Zbl | MR






