A reinforcement depletion urn problem—II. Application and generalization

Shenton, L. R.

doi:10.1007/bf02459382

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General Theory For the Three Color Urn1

Introduction1

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1985

1997

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Article5

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Cited by 6 publications

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“…It will be a slightly more detailed account than that given in Shenton [5] in the appendix. It is a simple matter to deduce the general formula for the mgf from that given for three colors.…”

Section: General Theory For the Three Color Urnmentioning

confidence: 98%

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A reinforcement-depletion urn model: A contiguity case

Bowman

Shenton

1986

Ann Inst Stat Math

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SummaryAn urn contains balls of s 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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Section: General Theory For the Three Color Urnmentioning

confidence: 98%

“…The model has been generalized (Shenton, [4], [5]) so that balls of s colors can be considered. At each cycle each color receives a reinforcement (possibly zero) and any number of balls can be randomly removed (corresponding to a depletion).…”

Section: Introductionmentioning

confidence: 99%