Abstract #301146

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JSM 2002 Abstract #301146
Activity Number: 179
Type: Contributed
Date/Time: Tuesday, August 13, 2002 : 8:30 AM to 10:20 AM
Sponsor: General Methodology
Abstract - #301146
Title: A Central Limit Theorem For Linear Urn Processes
Author(s): Debjit Biswas*+
Affiliation(s): Bristol-Myers Squibb Company
Address: , Wallingford, Connecticut, ,
Keywords: urn process ; downcrossing ; martingale
Abstract:

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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