Senior Research Projects (MATH 498)
Sums of Independent Geometric Random Variables - Lindsey Traughber, (In
Four-Sided Boundary Problems for Two-Dimensional RandomWalks - Miky
Wright, (In progress)
Sums of Independent Exponential Random Variables - Chelsea Gelley,
Craps: Rolling the Dice – Sarah Long, Fall
Average Area Under a Stopped Random Walk – Alyssa Surina, Spring 2011.
A Geometric Betting Challenge – Frank Polivka, Spring 2008.
Published jointly in The Mathematical
Spectrum, Volume 43, Number 1, 2010, p. 20-25.
A Goodness of Fit Test on a Queue: Is It a Poisson Distribution?
– Catherine Wilson, Spring 2008.
A Truncated Geometric Distribution – Quinn Thomas, Fall 2007.
Using the Math: Satellite Orbits – James Overton, Fall 2007.
Mean and Standard Deviation in Random Bowling – Jennifer Hohn, Spring
Hypothesis Testing for Exponential Distributions – Jennifer Jones,
A One-Sided Boundary Problem for Two-Dimensional Simple Random Walks –
Aziz Bah, Summer 2005.
Average Extrema of Geometric Random Walks – Justin Grieves, Spring 2005.
A Distribution of Geometric Averages – Jennifer Helm, Fall 2004.
Increasing the Accuracy of Confidence Intervals for Exponential Means –
Mark Mabry, Fall 2004.
Averages and Probabilities for Casino Betting Games – Leslie Adams,
Binomial Bowling – Patrick Brown, Spring 2004. Published jointly
in Missouri Journal of Mathematical
Sciences, Volume 18, Number 1, 2006, p. 17–25.
Approximating Pi with the Golden Ratio – Stacy Patrick, Fall
2003. Published jointly in The
Mathematics Teacher, Volume 99, Number 7, March 2006, p.
Random Walks with Elastic and
Reflective Lower Boundaries – Lucas Devore,
Generalized Probabilistic Bowling Distributions
– Jennifer Hohn, May 2009.
A Generalized Random Walk with a
Betting Scenario – Michael Russell, May 2007. Main
results were published jointly as
A Generalized Martingale Betting Strategy, Missouri
Mathematical Sciences, Vol. 21, No. 3, Oct. 2009, p. 183-197.
Uniform Convergence of Standardized
Special Distributions – Marcia Lami, May 2002.
New Theories in Random Walks –
Lina Jichi, December 1998.
Generalized One-Dimensional Random
Walks With Negative Binomial Stopping Times – Mark Rogers, May
1997. Main results were published jointly as Generalized
Random Walks with
Negative Binomial Stopping Times, New
Zealand Journal of Mathematics, Volume 30, 2001, p. 69 – 79.
Undergraduate Research Directed (MATH 398/Honors Augments)
Distribution of a Circular Random Walk – Matt Dawson, Fall 2004.
Based upon an idea of Professor David Benko and used
with his permission.
Game Theory – Ben Brewster, Fall 2004.
Actuarial Mathematics – Chris Brasfield, Spring 2004.
Doubling Random Walks – Wes Daughtry, Buddy Lagani, Fall 2001.
Linear Algebra with Mathematica – Amy Jones, Mark Thomas, Kevin
Patrick, Spring 1995.
Stopped Random Walks – Lon Maynard, 1993–94. Published jointly as
Stopped Random Walks: Areas and Lengths, The Pi Mu Epsilon Journal, Vol. 9,
Spring 1994, Number 10, p. 654–661.
Send questions or comments to
Dr. David K. Neal
Department of Mathematics
Western Kentucky University
Bowling Green, KY 42101
270 - 745 - 6213
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of Companies, Ltd.