Activity Number:
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179
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Type:
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Contributed
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Date/Time:
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Tuesday, August 13, 2002 : 8:30 AM to 10:20 AM
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Sponsor:
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General Methodology
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Abstract - #301146 |
Title:
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A Central Limit Theorem For Linear Urn Processes
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Author(s):
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Debjit Biswas*+
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Affiliation(s):
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Bristol-Myers Squibb Company
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Address:
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, Wallingford, Connecticut, ,
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Keywords:
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urn process ; downcrossing ; martingale
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Abstract:
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Generalized urn processes have been used extensively to model evolutionary phenomena. The dynamics of urn processes may involve dependence on initial conditions, path-dependence, and convergence to stable points. In this article, we obtain a central limit theorem for linear urn processes converging almost surely to downcrossings. Our result can be looked upon as a generalization of the well-known De-Moivre Laplace central limit theorem for Bernoulli random variables.
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