no. 1
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) 
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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

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

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

[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. | Zbl | MR

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

[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. | Zbl | MR

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

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