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

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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.

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Authors and Affiliations

  1. Déepartment of mathéematiques, Université Louis Pasteur, 7, rue René Descartes, 67084, Strasbourg, France

    Dominique Foata

  2. Department of Mathematics, Hill Center-Busch Campus, Rutgers, The State University of New Jersey, 110 Frelinghuysen Rd., 08854-8019, Piscataway, NJ, USA

    Doron Zeilberger

Authors
  1. Dominique Foata
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  2. Doron Zeilberger
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Correspondence to Dominique Foata.

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To Gian-Carlo Rota, in memoriam

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Foata, D., Zeilberger, D. The Collector’s Brotherhood Problem using the Newman-Shepp symbolic method. Algebra univers. 49, 387–395 (2003). https://doi.org/10.1007/s00012-003-1815-3

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  • DOI: https://doi.org/10.1007/s00012-003-1815-3

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