no. 6
Some exact rates in the functional law of the iterated logarithm
Annales de l'I.H.P. Probabilités et statistiques, Tome 38 (2002) no. 6, pp. 811-824 
@article{AIHPB_2002__38_6_811_0,
     author = {Berthet, Philippe and Lifshits, Mikhail},
     title = {Some exact rates in the functional law of the iterated logarithm},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {811--824},
     year = {2002},
     publisher = {Elsevier},
     volume = {38},
     number = {6},
     mrnumber = {1955338},
     zbl = {1018.60030},
     language = {en},
     url = {https://www.numdam.org/item/AIHPB_2002__38_6_811_0/}
}
TY  - JOUR
AU  - Berthet, Philippe
AU  - Lifshits, Mikhail
TI  - Some exact rates in the functional law of the iterated logarithm
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 2002
SP  - 811
EP  - 824
VL  - 38
IS  - 6
PB  - Elsevier
UR  - https://www.numdam.org/item/AIHPB_2002__38_6_811_0/
LA  - en
ID  - AIHPB_2002__38_6_811_0
ER  - 
%0 Journal Article
%A Berthet, Philippe
%A Lifshits, Mikhail
%T Some exact rates in the functional law of the iterated logarithm
%J Annales de l'I.H.P. Probabilités et statistiques
%D 2002
%P 811-824
%V 38
%N 6
%I Elsevier
%U https://www.numdam.org/item/AIHPB_2002__38_6_811_0/
%G en
%F AIHPB_2002__38_6_811_0
Berthet, Philippe; Lifshits, Mikhail. Some exact rates in the functional law of the iterated logarithm. Annales de l'I.H.P. Probabilités et statistiques, Tome 38 (2002) no. 6, pp. 811-824. https://www.numdam.org/item/AIHPB_2002__38_6_811_0/

[1] P. Berthet, Z. Shi, Small ball estimates for Brownian motion under a weighted sup-norm, Studia Sci. Math. Hungarica 36 (2000) 275-289. | Zbl | MR

[2] K.L. Chung, On the maximum partial sums of sequences of independent random variables, Trans. Amer. Math. Soc. 64 (1948) 205-233. | Zbl | MR

[3] E. Csáki, A relation between Chung's and Strassen's law of the iterated logarithm, Z. Wahrscheinlichkeitstheorie Verw. Gebeite 54 (1980) 287-301. | Zbl | MR

[4] E. Csáki, A liminf result in Strassen's law of the iterated logarithm, Colloq. Math. Soc. János Bolyai 57 (1989) 83-93. | Zbl | MR

[5] J.D. Deuschel, D.M. Stroock, Large Deviations, Academic Press, 1989. | Zbl | MR

[6] A. De Acosta, Small deviations in the functional central limit theorem with applications to functional laws of the iterated logarithm, Ann. Probab. 11 (1983) 78-101. | Zbl | MR

[7] V. Goodman, J. Kuelbs, Rates of clustering in Strassen's LIL for Brownian motion, J. Theoret. Probab. 4 (1991) 285-309. | Zbl | MR

[8] N. Gorn, M. Lifshits, Chung's law and the Csáki function, J. Theoret. Probab. 12 (1999) 399-420. | Zbl | MR

[9] K. Grill, A liminf result in Strassen's law of the iterated logarithm, Probab. Theory Related Fields 89 (1991) 149-157. | Zbl | MR

[10] J. Kuelbs, W.V. Li, M. Talagrand, Liminf results for Gaussian samples and Chung's functional LIL, Ann. Probab. 22 (1994) 1879-1903. | Zbl | MR

[11] A.A. Mogulskii, Small deviations in a space of trajectories, Theoret. Probab. Appl. 19 (1974) 726-736. | Zbl | MR

[12] V. Strassen, An invariance principle for the law of the iterated logarithm, Z. Wahrscheinlichkeitstheorie Verw. Gebeite 3 (1964) 211-226. | Zbl | MR