Work

Coupon collector's probabilities and generating function: analytic approach

Year: 2016

Type: preprint

Abstract: Despite the coupon collector's problem has simple probabilistic solution using inclusion/exclusion principle \cite{PolyaUrn}, starting from a particular type of recurrence differential equation it is used an analytic approach to recover explicit probabilities and generating function. Note that this kind of recurrence differential equations often appear in Polya Urn context \cite{PolyaUrn}.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1609.01066

Author: Monsellato, Andrea

Language: English

Topic: Probability and Statistical Research

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2507965155

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