no. 4
The missing factor in Hoeffding's inequalities
Annales de l'I.H.P. Probabilités et statistiques, Tome 31 (1995) no. 4, pp. 689-702 
@article{AIHPB_1995__31_4_689_0,
     author = {Talagrand, Michel},
     title = {The missing factor in {Hoeffding's} inequalities},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {689--702},
     year = {1995},
     publisher = {Gauthier-Villars},
     volume = {31},
     number = {4},
     mrnumber = {1355613},
     zbl = {0837.60016},
     language = {en},
     url = {https://www.numdam.org/item/AIHPB_1995__31_4_689_0/}
}
TY  - JOUR
AU  - Talagrand, Michel
TI  - The missing factor in Hoeffding's inequalities
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 1995
SP  - 689
EP  - 702
VL  - 31
IS  - 4
PB  - Gauthier-Villars
UR  - https://www.numdam.org/item/AIHPB_1995__31_4_689_0/
LA  - en
ID  - AIHPB_1995__31_4_689_0
ER  - 
%0 Journal Article
%A Talagrand, Michel
%T The missing factor in Hoeffding's inequalities
%J Annales de l'I.H.P. Probabilités et statistiques
%D 1995
%P 689-702
%V 31
%N 4
%I Gauthier-Villars
%U https://www.numdam.org/item/AIHPB_1995__31_4_689_0/
%G en
%F AIHPB_1995__31_4_689_0
Talagrand, Michel. The missing factor in Hoeffding's inequalities. Annales de l'I.H.P. Probabilités et statistiques, Tome 31 (1995) no. 4, pp. 689-702. https://www.numdam.org/item/AIHPB_1995__31_4_689_0/

[B] G. Bennett, Probability inequalities for the sum of independent random variables, Amer. Stat. Assoc. J., 57, 1962, pp. 33-45. | Zbl

[F] W. Feller, An introduction to Probability Theory and its applications, Vol. II (second edition), J. Wiley and Sons, 1971. | Zbl | MR

[H] W. Hoeffding, Probability inequalities for sums of bounded random variables, Amer. Stat. Assoc. J., 58, 1963, pp. 13-30. | Zbl | MR

[K-J] S. Kotz and N.L. Johnson, Encyclopedia of Statistical Sciences, Wiley, New York, 1982. | Zbl | MR

[I-K] K. Ito and H.P. Mckean, Diffusion processes and their sample paths, 1974, Springer Verlag. | Zbl | MR

[N] S.V. Nagaev, Large deviations of sums of independent random variables, Ann. Probab., 7, 1977, pp. 745-789. | Zbl | MR

[P-U] I.S. Pinelis and S.A. Utev, Exact exponential bounds for sums of independent random variables, Theory Probab. Appl., 1990, pp. 340-345. | Zbl

[P] Yu V. Prokhorov, An extremal problem in probability theory, Theory of Probability and its applications, 4, 1959, pp. 201-3. | Zbl | MR