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Filtering by: Advisor Mahmoud, Hosam Degree Ph.D. Type of Work Thesis or Dissertation

Advances in Urn Models and Applications to Self-similar Bipolar Networks

Description:

We study a class of tenable Polya urn schemes and processes. We concentrate on balanced urn models, and characterize their properties. As an application, we employ these findings in the study random self-similar bipolar networks.Chapter 1 introduces the history of urns models and graph theory. To...

Author:

Chen, Chen

Keyword:

Polya process, Partial differential equation, Bipolar Network, Urn Model, Branching process, and Random structure

GW Unit:

Statistics

Degree:

Ph.D.

Advisor:

Mahmoud, Hosam

Committee Member(s):

Apanasovich, Tatiyana, Rosenberger, William, Larsen, Michael, and Balaji, Srinivasan

Resource Type:

Thesis or Dissertation
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