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Refined Large Deviation Asymptotics for the Classical Occupancy Problem

Author

Listed:
  • Paul Dupuis

    (Brown University)

  • Jim (Xiao) Zhang

    (Brown University)

  • Philip Whiting

    (Lucent Technologies)

Abstract

In this paper refined large deviation asymptotics are derived for the classical occupancy problem. The asymptotics are established for a sequential filling experiment and an occupancy experiment. In the first case the random variable of interest is the number of balls required to fill a given fraction of the urns, while in the second a fixed number of balls are thrown and the random variable is the fraction of nonempty urns.

Suggested Citation

  • Paul Dupuis & Jim (Xiao) Zhang & Philip Whiting, 2006. "Refined Large Deviation Asymptotics for the Classical Occupancy Problem," Methodology and Computing in Applied Probability, Springer, vol. 8(4), pages 467-496, December.
    • Handle: RePEc:spr:metcap:v:8:y:2006:i:4:d:10.1007_s11009-006-0425-x
    DOI: 10.1007/s11009-006-0425-x
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    References listed on IDEAS

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    1. Iltis, Michael, 2000. "Sharp asymptotics of large deviations for general state-space Markov-additive chains in," Statistics & Probability Letters, Elsevier, vol. 47(4), pages 365-380, May.
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    Cited by:

    1. Tamar Gadrich & Rachel Ravid, 2011. "The Sequential Occupancy Problem through Group Throwing of Indistinguishable Balls," Methodology and Computing in Applied Probability, Springer, vol. 13(2), pages 433-448, June.

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