William Brummond, Ph.D., FSA
Visiting Assistant Professor
- Milwaukee WI UNITED STATES
- Mathematics
Education, Licensure and Certification
Ph.D.
Mathematical and Computational Science
University of Missouri – Saint Louis
2019
M.A.
Mathematics
University of Missouri – Saint Louis
2015
B.S.
Business Administration
Drake University
1975
Areas of Expertise
Affiliations
- Society of Actuaries : Fellow
- American Academy of Actuaries : Member
Social
Event and Speaking Appearances
Opportunities in Reinsurance
Midwest Actuarial Student Conference
Problem Solving with Financial Reinsurance
Society of Actuaries
Universal Life Insurance Tax Reserves
Insurance Tax Conference
Life Insurance Tax Reserves
Chicago Actuarial Association
Selected Publications
Kirkman Systems that Attain the Upper Bound on the Minimum Block Sum, for Access Balancing in Distributed Storage
arXiv:1906.021572019
We study a class of combinatorial designs called Kirkman systems, and we show that infinitely many Kirkman systems are well-distributed in a precise sense. Steiner triple systems of order n can achieve a minimum block sum of n. Kirkman triple systems form parallel classes from the blocks of Steiner triple systems. We prove that there are an infinite number of Kirkman triple systems that have a minimum block sum of n. We expand this to quadruple systems.