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A reinforcement-depletion urn model: A contiguity case

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Summary

An urn contains balls ofs different colors. The problem of the reinforcement of a specified color and random depletion of balls has been considered by Bernard (1977,Bull. Math. Biol.,39, 463–470) and Shenton (1981,Bull. Math. Biol.,43, 327–340), (1983,Bull. Math. Biol.,45, 1–9). Here we consider a special relation between a reinforcement and depletion, leading to a hypergeometric distribution.

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References

  1. Bernard, S. R. (1977). An urn model study of variability within a compartment,Bull. Math. Biol.,39, 463–470.

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Authors and Affiliations

  1. Oak Ridge National Laboratory, Oak Ridge, USA

    K. O. Bowman & L. R. Shenton

  2. University of Georgia, Georgia, USA

    K. O. Bowman & L. R. Shenton

Authors
  1. K. O. Bowman
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  2. L. R. Shenton
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Additional information

Research sponsored in part by the Applied Mathematical Sciences Research Program, Office of Energy Research, U.S. Department of Energy under contract DE-AC05-840R21400 with the Martin Marietta Energy Systems, Inc.

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Bowman, K.O., Shenton, L.R. A reinforcement-depletion urn model: A contiguity case. Ann Inst Stat Math 38, 233–243 (1986). https://doi.org/10.1007/BF02482513

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  • DOI: https://doi.org/10.1007/BF02482513

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