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Filtering by: Advisor Mahmoud, Hosam Committee Member Ullman, Daniel Keyword Urn Model

Gaussian Phases Toward Statistical Equilibrium in Some Urn Models

Description:

We are interested in a group of urn models with mean reverting property, that is, they reach statistical equilibrium, usually at the mean, when scale space and/or time reach infinity. Both Ehrenfest and Bernoulli-Laplace urns are within this category. We analyze these urns in different phases...

Author:

Zhang, Tong

Keyword:

Martingale, Central Limit Theorem, Phase Transition, Urn Model, and Random Structure

GW Unit:

Statistics

Degree:

Ph.D.

Advisor:

Mahmoud, Hosam

Committee Member(s):

Ullman, Daniel, Hitczenko, Pawel, Kundu, Subrata, and Gastwirth, Joseph

Resource Type:

Thesis or Dissertation