On the covering by small random intervals

Ai-Hua Fan; Jun Wu[1]

  • [1] Huazhong University of Science and Technology Department of Mathematics Wuhan, 430074 (P.R. China)

Annales de l'I.H.P. Probabilités et statistiques (2004)

  • Volume: 40, Issue: 1, page 125-131
  • ISSN: 0246-0203

How to cite

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Fan, Ai-Hua, and Wu, Jun. "On the covering by small random intervals." Annales de l'I.H.P. Probabilités et statistiques 40.1 (2004): 125-131. <http://eudml.org/doc/77794>.

@article{Fan2004,
affiliation = {Huazhong University of Science and Technology Department of Mathematics Wuhan, 430074 (P.R. China)},
author = {Fan, Ai-Hua, Wu, Jun},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {random covering; uniform sample spacing; Hausdorff dimension},
language = {eng},
number = {1},
pages = {125-131},
publisher = {Elsevier},
title = {On the covering by small random intervals},
url = {http://eudml.org/doc/77794},
volume = {40},
year = {2004},
}

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
PB - Elsevier
VL - 40
IS - 1
SP - 125
EP - 131
LA - eng
KW - random covering; uniform sample spacing; Hausdorff dimension
UR - http://eudml.org/doc/77794
ER -

References

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  1. [1] D.A. Darling, On a class of problems related to the random division of an interval, Ann. Math. Statistics24 (1953) 239-253. Zbl0053.09902MR58891
  2. [2] A. Dvoretzky, On covering a circle by randomly placed arcs, Proc. Nat. Acad. Sci. USA42 (1956) 199-203. Zbl0074.12301MR79365
  3. [3] A.H. Fan, Oscillations of tree-indexed walks, LAMFA Prepublication, University of Picardie, 2000. 
  4. [4] J. Hawkes, On the asymptotic behaviour of sample spacings, Math. Proc. Cambridge Philos. Soc.90 (2) (1981) 293-303. Zbl0476.60012MR620739
  5. [5] J.P. Kahane, Some Random Series of Functions, Cambridge Stud. Adv. Math., vol. 5, Cambridge Univ. Press, Cambridge, 1985. Zbl0571.60002MR833073
  6. [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. Zbl0944.60058MR1785624
  7. [7] L. Shepp, Covering the circle with random arcs, Israel J. Math.11 (1972) 328-345. Zbl0241.60008MR295402

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