The Collector's Brotherhood Problem using the Newman-Shepp symbolic method

Dominique Foata, Doron Zeilberger

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

Further computations are made on the traditional coupon collector's problem when the collector shares his harvest with his younger brothers. When the book of the p-th brother of the collector is completed, the books of the younger brothers have certain numbers of empty spots. On the average, how many? Several answers can be brought to that question.

Original languageEnglish (US)
Pages (from-to)387-395
Number of pages9
JournalAlgebra Universalis
Volume49
Issue number4
DOIs
Publication statusPublished - Nov 3 2003

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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Coupon collector's problem
  • Hyperharmonic numbers
  • Newman-Shepp symbolic method
  • Surjection calculus

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