A reinforcement-depletion urn model: A contiguity case |
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| Authors: | K O Bowman L R Shenton |
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| Institution: | (1) Oak Ridge National Laboratory, Oak Ridge, USA;(2) University of Georgia, Georgia, USA |
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| Abstract: | 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.
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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| Keywords: | Contiguous factorials factorial series distributions hypergeometric distribution moments |
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