On the covering by small random intervals
Fan, Ai-Hua ; Wu, Jun1
1 Huazhong University of Science and Technology Department of Mathematics Wuhan, 430074 (P.R. China)
Annales de l'I.H.P. Probabilités et statistiques, Tome 40 (2004) no. 1, pp. 125-131.
DOI : 10.1016/j.anihpb.2003.07.001
Fan, Ai-Hua  ; Wu, Jun 1

1 Huazhong University of Science and Technology Department of Mathematics Wuhan, 430074 (P.R. China) 
@article{AIHPB_2004__40_1_125_0,
     author = {Fan, Ai-Hua and Wu, Jun},
     title = {On the covering by small random intervals},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {125--131},
     publisher = {Elsevier},
     volume = {40},
     number = {1},
     year = {2004},
     doi = {10.1016/j.anihpb.2003.07.001},
     mrnumber = {2037476},
     zbl = {1037.60010},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1016/j.anihpb.2003.07.001/}
}
TY  - JOUR
AU  - Fan, Ai-Hua
AU  - Wu, Jun
TI  - On the covering by small random intervals
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 2004
SP  - 125
EP  - 131
VL  - 40
IS  - 1
PB  - Elsevier
UR  - http://archive.numdam.org/articles/10.1016/j.anihpb.2003.07.001/
DO  - 10.1016/j.anihpb.2003.07.001
LA  - en
ID  - AIHPB_2004__40_1_125_0
ER  - 
%0 Journal Article
%A Fan, Ai-Hua
%A Wu, Jun
%T On the covering by small random intervals
%J Annales de l'I.H.P. Probabilités et statistiques
%D 2004
%P 125-131
%V 40
%N 1
%I Elsevier
%U http://archive.numdam.org/articles/10.1016/j.anihpb.2003.07.001/
%R 10.1016/j.anihpb.2003.07.001
%G en
%F AIHPB_2004__40_1_125_0
Fan, Ai-Hua; Wu, Jun. On the covering by small random intervals. Annales de l'I.H.P. Probabilités et statistiques, Tome 40 (2004) no. 1, pp. 125-131. doi : 10.1016/j.anihpb.2003.07.001. http://archive.numdam.org/articles/10.1016/j.anihpb.2003.07.001/

[1] D.A. Darling, On a class of problems related to the random division of an interval, Ann. Math. Statistics 24 (1953) 239-253. | MR | Zbl

[2] A. Dvoretzky, On covering a circle by randomly placed arcs, Proc. Nat. Acad. Sci. USA 42 (1956) 199-203. | MR | Zbl

[3] A.H. Fan, Oscillations of tree-indexed walks, LAMFA Prepublication, University of Picardie, 2000.

[4] J. Hawkes, On the asymptotic behaviour of sample spacings, Math. Proc. Cambridge Philos. Soc. 90 (2) (1981) 293-303. | MR | Zbl

[5] J.P. Kahane, Some Random Series of Functions, Cambridge Stud. Adv. Math., vol. 5, Cambridge Univ. Press, Cambridge, 1985. | MR | Zbl

[6] J. Kahane, Random coverings and multiplicative processes, in: Fractal Geometry and Stochastics, II (Greifswald/Koserow, 1998) , Progr. Probab., vol. 46, Birkhäuser, Basel, 2000, pp. 125-146. | MR | Zbl

[7] L. Shepp, Covering the circle with random arcs, Israel J. Math. 11 (1972) 328-345. | MR | Zbl

Cité par Sources :