Some upper and lower bounds on the coupon collector problem
نویسنده
چکیده
The classical coupon collector problem is closely related to probabilistic-packet-marking (PPM) schemes for IP traceback problem in the Internet. In this paper, we study the classical coupon collector problem, and derive some upper and lower bounds of the complementary cumulative distribution function (ccdf) of the number of objects (coupons) that one has to check in order to detect a set of different objects. The derived bounds require much less computation than the exact formula. We numerically find that the proposed bounds are very close to the actual ccdf when detecting probabilities are set to the values common to the PPM schemes. © 2006 Elsevier B.V. All rights reserved. MSC: 60C05
منابع مشابه
Coupon Collector Problem for Non-Uniform Coupons and Random Quotas
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