Refined Large Deviation Asymptotics for the Classical Occupancy Problem

Paul Dupuis (), Jim (Xiao) Zhang () and Philip Whiting ()
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Paul Dupuis: Brown University
Jim (Xiao) Zhang: Brown University
Philip Whiting: Lucent Technologies

Methodology and Computing in Applied Probability, 2006, vol. 8, issue 4, 467-496

Abstract: 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.

Keywords: Refined large deviation asymptotics; Occupancy process; Large deviation principle; Central Limit Theorem; 60F10; 60K30; 60G50 (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s11009-006-0425-x

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