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Waiting Time for a Small Subcollection in the Coupon Collector Problem with Universal Coupon

Author

Listed:
  • Jelena Jocković

    (University of Belgrade)

  • Bojana Todić

    (University of Belgrade)

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.

Suggested Citation

  • Jelena Jocković & Bojana Todić, 2024. "Waiting Time for a Small Subcollection in the Coupon Collector Problem with Universal Coupon," Journal of Theoretical Probability, Springer, vol. 37(3), pages 1945-1957, September.
    • Handle: RePEc:spr:jotpro:v:37:y:2024:i:3:d:10.1007_s10959-023-01312-2
    DOI: 10.1007/s10959-023-01312-2
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