no. 2
The almost sure invariance principle for the empirical process of U-statistic structure
Annales de l'I.H.P. Probabilités et statistiques, Tome 23 (1987) no. 2, pp. 121-134 
@article{AIHPB_1987__23_2_121_0,
     author = {Dehling, Herold and Denker, Manfred and Philipp, Walter},
     title = {The almost sure invariance principle for the empirical process of {U-statistic} structure},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {121--134},
     year = {1987},
     publisher = {Gauthier-Villars},
     volume = {23},
     number = {2},
     mrnumber = {891707},
     zbl = {0619.60036},
     language = {en},
     url = {https://www.numdam.org/item/AIHPB_1987__23_2_121_0/}
}
TY  - JOUR
AU  - Dehling, Herold
AU  - Denker, Manfred
AU  - Philipp, Walter
TI  - The almost sure invariance principle for the empirical process of U-statistic structure
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 1987
SP  - 121
EP  - 134
VL  - 23
IS  - 2
PB  - Gauthier-Villars
UR  - https://www.numdam.org/item/AIHPB_1987__23_2_121_0/
LA  - en
ID  - AIHPB_1987__23_2_121_0
ER  - 
%0 Journal Article
%A Dehling, Herold
%A Denker, Manfred
%A Philipp, Walter
%T The almost sure invariance principle for the empirical process of U-statistic structure
%J Annales de l'I.H.P. Probabilités et statistiques
%D 1987
%P 121-134
%V 23
%N 2
%I Gauthier-Villars
%U https://www.numdam.org/item/AIHPB_1987__23_2_121_0/
%G en
%F AIHPB_1987__23_2_121_0
Dehling, Herold; Denker, Manfred; Philipp, Walter. The almost sure invariance principle for the empirical process of U-statistic structure. Annales de l'I.H.P. Probabilités et statistiques, Tome 23 (1987) no. 2, pp. 121-134. https://www.numdam.org/item/AIHPB_1987__23_2_121_0/

[1] G. Bennett, Probability inequalities for the sum of independent random variables. JASA, t. 57, 1962, p. 33-45. | Zbl

[2] S. Csörgö, L. Horvath, R. Serfling, An approximation for the empirical process of U-statistic structure. Technical report, Johns Hopkins University, 1983.

[3] R.M. Dudley, W. Philipp, Invariance principles for sums of Banach space valued random elements and empirical processes. Zeitschrift Wahrscheinlichkeitstheorie verw. Gebiete, t. 62, 1983, p. 509-552. | Zbl | MR

[4] R. Helmers, P. Janssen, R. Serfling, Asymptotic theory for the e. d. f. of U-statistics and applications to GL-statistics and the bootstrap. Preprint, 1984-1985.

[5] P. Janssen, R. Serfling, N. Veraverbeke, Asymptotic normality for a general class of statistical functions and applications to measures of spread. Ann. Stat., t. 12, 1984, p. 1369-1379. | Zbl | MR

[6] R. Serfling, Approximation Theorems of Mathematical Statistics. John Wiley and Sons, New York, 1980. | Zbl | MR

[7] R. Serfling, Generalized L-, M- and R-statistics. Ann. Stat., t. 12, 1984, p. 76-86. | Zbl | MR

[8] B.W. Silverman, Limit theorems for dissociated random variables. Adv. Appl. Prob., t. 8, 1976, p. 806-819. | Zbl | MR

[9] B.W. Silverman, Convergence of a class of empirical distribution functions of dependent random variables. Ann. Prob., t. 11, 1983, p. 745-751. | Zbl | MR