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Applications of Stein's Method on Statistics of Random Graphs
by
Radoslav Marinov
A Dissertation Presented to the
FACULTY OF THE USC GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Ful llment of the
Requirements for the Degree
DOCTOR OF PHILOSOPHY
(Applied Mathematics)
August 2013
Copyright 2013 Radoslav Marinov
Object Description
| Title | Applications of Stein's method on statistics of random graphs |
| Author | Marinov, Radoslav T. |
| Author email | rtmarino@usc.edu;radoslavtmarinov@gmail.com |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Applied Mathematics |
| School | College of Letters, Arts And Sciences |
| Date defended/completed | 2013-05-08 |
| Date submitted | 2013-07-30 |
| Date approved | 2013-07-31 |
| Restricted until | 2013-07-31 |
| Date published | 2013-07-31 |
| Advisor (committee chair) | Fulman, Jason |
| Advisor (committee member) |
Bartroff, Jay Newton, Paul |
| Abstract | We look at the background of Stein's Method, its ties with the field of Markov Chains, and the connections of both those subjects and the Neighbourhood Attack Voter-type model. ❧ On the basis of that background, we provide two examples of applications of Stein's Method, one in the context of a pair of Voter Models, and one in the context of the uniform recursive tree. |
| Keyword | mathematics; probability; Stein's method; random graphs; uniform recursive tree; voter models; Markov chains; bounds on rates of convergence |
| Language | English |
| Format (imt) | application/pdf |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Provenance | Electronically uploaded by the author |
| Type | texts |
| Legacy record ID | usctheses-m |
| Contributing entity | University of Southern California |
| Rights | Marinov, Radoslav T. |
| Access conditions | The author retains rights to his/her dissertation, thesis or other graduate work according to U.S. copyright law. Electronic access is being provided by the USC Libraries in agreement with the author, as the original true and official version of the work, but does not grant the reader permission to use the work if the desired use is covered by copyright. It is the author, as rights holder, who must provide use permission if such use is covered by copyright. The original signature page accompanying the original submission of the work to the USC Libraries is retained by the USC Libraries and a copy of it may be obtained by authorized requesters contacting the repository e-mail address given. |
| Repository name | University of Southern California Digital Library |
| Repository address | USC Digital Library, University of Southern California, University Park Campus MC 7002, 106 University Village, Los Angeles, California 90089-7002, USA |
| Repository email | cisadmin@usc.edu |
| Filename | etd-MarinovRad-1905.pdf |
| Archival file | uscthesesreloadpub_Volume7/etd-MarinovRad-1905.pdf |
Description
| Title | Page 1 |
| Contributing entity | University of Southern California |
| Full text | Applications of Stein's Method on Statistics of Random Graphs by Radoslav Marinov A Dissertation Presented to the FACULTY OF THE USC GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Ful llment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (Applied Mathematics) August 2013 Copyright 2013 Radoslav Marinov |
