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https://research.matf.bg.ac.rs/handle/123456789/1330
Title: | Waiting Time for a Small Subcollection in the Coupon Collector Problem with Universal Coupon | Authors: | Jocković, Jelena Todić, Bojana |
Keywords: | Asymptotic expansion;Coupon collector problem;Recurrence relation;Universal coupon;Waiting time | Issue Date: | 1-Jan-2024 | Rank: | M23 | Publisher: | Springer | Journal: | Journal of Theoretical Probability | Abstract: | We consider a generalization of the classical coupon collector problem, where the set of available coupons consists of standard coupons (which can be part of the collection), and two coupons with special purposes: one that speeds up the collection process and one that slows it down. We obtain several asymptotic results related to the expectation and the variance of the waiting time until a portion of the collection is sampled, as the number of standard coupons tends to infinity. |
Description: | This version of the article has been accepted for publication, after peer review (when applicable) but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://dx.doi.org/10.1007/s10959-023-01312-2 |
URI: | https://research.matf.bg.ac.rs/handle/123456789/1330 | ISSN: | 08949840 | DOI: | 10.1007/s10959-023-01312-2 |
Appears in Collections: | Research outputs |
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