<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>We consider a generalization of the coupon collector problem with unequal probabilities, such that there are two additional coupons in the coupon set: one that speeds up the coupon collection process, and the one that slows it down. We derive some upper and lower bounds on the distribution function of the waiting time until a subcollection or a full collection of coupons is sampled.</p>
</abstract>

We consider a generalization of the coupon collector problem with unequal probabilities, such that there are two additional coupons in the coupon set: one that speeds up the coupon collection process, and the one that slows it down. We derive some upper and lower bounds on the distribution function of the waiting time until a subcollection or a full collection of coupons is sampled.

Some bounds on the coupon collector problem with universal coupon

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Some bounds on the coupon collector problem with universal coupon"}

We consider a generalization of the coupon collector problem with unequal probabilities, such that there are two additional coupons in the coupon set: one that...

Some bounds on the coupon collector problem with universal coupon

Published Online: Jul 10, 2024

Page range: 99 - 113

Received: May 25, 2023

Accepted: Oct 22, 2023

DOI: https://doi.org/10.2478/auom-2024-0021

Keywords
coupon collector problem, waiting time, universal coupon, Schur-convexity, bounds

© 2024 Jelena Jocković et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Some bounds on the coupon collector problem with universal coupon

Published Online: Jul 10, 2024

Page range: 99 - 113

Received: May 25, 2023

Accepted: Oct 22, 2023

DOI: https://doi.org/10.2478/auom-2024-0021

Keywordscoupon collector problem, waiting time, universal coupon, Schur-convexity, bounds

© 2024 Jelena Jocković et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
coupon collector problem, waiting time, universal coupon, Schur-convexity, bounds