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A reinforcement-depletion urn problem—I. Basic theory

✍ Scribed by L. R. Shenton

Book ID
112754558
Publisher
Springer
Year
1981
Tongue
English
Weight
439 KB
Volume
43
Category
Article
ISSN
1522-9602

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📜 SIMILAR VOLUMES

A reinforcement-depletion urn problem—I.
A reinforcement-depletion urn problem—I. Basic theory
✍ L.R. Shenton 📂 Article 📅 1981 🏛 Springer 🌐 English ⚖ 444 KB

An urn contains balls of different colors. Specified numbers of each color are added and form a reinforcement. The total reinforcement is randomly removed, forming a depletion. The process, not necessarily with the same reinforcements, is performed a number of times. The factorial moment generating

A reinforcement depletion urn problem-II
A reinforcement depletion urn problem-II. Application and generalization
✍ L.R. Shenton 📂 Article 📅 1983 🏛 Springer 🌐 English ⚖ 349 KB

The urn model discussed in part I is generalized so that the random depletion of balls from the urn in any cycle is not necessarily the same as the reinforcement in that cycle. This model is applied to an urn containing balls of three colors (white, red, black) for which the black balls always recei