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William L. Welbourn, Jr., Ph.D., PKP, GKIHS


Curriculum Vitae


PhD Defense Presentation (February 16, 2012)





“The problems we face cannot be solved at the same level of thinking we were at when we created them” – Albert Einstein

"Who we are today is a reflection of our actions from the past"- Dr. David Chen, Professor California State University, Fullerton
"Greatness is 1% final product, and 99% passion in the pursuit of completing it"- William Welbourn, Jr.
"Mathematics is the queen of the sciences and number theory is the queen of mathematics"- Carl Friedrich Gauss
"The excitement that a gambler feels when making a bet is equal to the amount he might win times the probability of winning it"- Blaise Pascal

Screenshot of my maxT Permutation Algorithm Being Executed Upon my Desktop Cluster of GPUs (Cochran-Armitage Linear Trend Test Employed)






My [highly addictive] hobby: customizing my 2012 Honda Civic Si 


Some information about myself:








Past Academic News


·         May 26, 2000- Ranked #1 in Math 375- Discrete Dynamical Systems and Chaos with an overall course score of 96%.

·         January 2, 2001- Conferral Date for the Bachelor of Arts Degree in Mathematics.


Graduate (Master of Science)

·         March 2004 - Admitted to the Master's Program in Biostatistics at the Los Angeles Campus of the University of California System.  Concurrently, admitted to the Master's Program in Biostatistics at the University of Southern California.

·         May 2004 - Began my Graduate Studies at USC.

·         May 2005 - Began my Master's Thesis Research - Topic: Ordered Subset Analysis (OSA).

·         April 2006 - Successfully defended my Master's Thesis and completed the requirements for the Degree, Master of Science in Biostatistics.

·         May 10, 2006 - Elected to the USC Chapter of the Honor Society of Phi Kappa Phi.

·         May 12, 2006 - Conferral Date for the Master of Science Degree in Biostatistics.


Graduate (Doctoral)

·         August 2007 - Began my Graduate Studies at USU.  Teaching Section 11 of Math 1050, College Algebra.

·         February 2008 - Revising MS Thesis and subsequent papers for publication.

·         May 2008 - Overall Course Score of 100.5% in Mathematical Statistics II (Stat 6720).

·         May 2008 - Passed the Mathematical Statistics PhD Qualifying Exam.

·         December 1, 2008 – Elected to the USU Chapter of the Golden Key International Honour Society.

·         March 3, 2010 – Passed the PhD Comprehensive Exam

·         May 3, 2011 – Passed PhD Dissertation Proposal Defense, Advanced to Candidacy

·         February 16, 2012 – Passed PhD Defense

Research Interests


Links to Other Pages

Probability Challenge Problems
A Special Outcome From My Math 375 Group Project
Math 375 Project Pictures

The History of Mathematics


Page Last Updated July 16, 2014