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2019 Convergence of point processes associated with coupon collector’s and Dixie cup problems
Andrii Ilienko
Electron. Commun. Probab. 24: 1-9 (2019). DOI: 10.1214/19-ECP263

Abstract

We prove that, in the coupon collector’s problem, the point processes given by the times of $r^{th}$ arrivals for coupons of each type, centered and normalized in a proper way, converge toward a non-homogeneous Poisson point process. This result is then used to derive some generalizations and infinite-dimensional extensions of classical limit theorems on the topic.

Citation

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Andrii Ilienko. "Convergence of point processes associated with coupon collector’s and Dixie cup problems." Electron. Commun. Probab. 24 1 - 9, 2019. https://doi.org/10.1214/19-ECP263

Information

Received: 29 April 2019; Accepted: 21 August 2019; Published: 2019
First available in Project Euclid: 12 September 2019

zbMATH: 1422.60082
MathSciNet: MR4003125
Digital Object Identifier: 10.1214/19-ECP263

Subjects:
Primary: 60F17, 60G55

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