Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-27T09:36:31.338Z Has data issue: false hasContentIssue false
  • English
  • Français

Limit theorems for some sequential occupancy problems

Published online by Cambridge University Press:  14 July 2016

Svante Janson
Svante Janson*
Affiliation:
Uppsala University
*
∗ Postal address: Department of Mathematics, Uppsala University, Thunbergsvägen 3, S-752–38 Uppsala, Sweden.
Get access Rights & Permissions [Opens in a new window]

Abstract

Consider n cells into which balls are thrown at random until all but m cells contain at least l + 1 balls each. Asymptotic results when n →∞, m and l held fixed, are given for the number of cells containing exactly k balls and for related random variables.

Keywords

COUPON-COLLECTING
Type
Research Papers
Information
Journal of Applied Probability , Volume 20 , Issue 3 , September 1983 , pp. 545 - 553
Copyright
Copyright © Applied Probability Trust 1983 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Békéssy, A. (1964) On classical occupancy problems II (sequential occupancy). Magy. Tud. Akad. Mat. Kutató Int. Közl. 9, 133–141.Google Scholar
[2] Billingsley, P. (1968) Convergence of Probability Measures. Wiley, New York.Google Scholar
[3] Holst, L. (1981) On sequential occupancy problems. J. Appl. Prob. 18, 435–442.Google Scholar