Areas of Research; Publications

                                                        (Number of citations in brackets)


Theory of Long Runs

"An Extreme Value Theory for Longest Head Runs" (with L. Gordon and M. S. Waterman), Zeitschrift fur Wahrscheinlichkeitstheories verwandt Gebeite
(Probability Theory and Related Fields), vol. 72, 279-287. [116]

"The Longest Run of Heads", The College Mathematics Journal, vol. 21(3), 196-207. [95]   Winner of the George Polya Award.
"Long Run Predictions", Math Horizons, Spring 1994, 10-12 (invited paper). [6]

"
The Surprising Predictability of Long Runs", Mathematics Magazine, vol 85(2), 137-145. [13]   Winner of the Chauvenet Prize.


Nearest Neighbor Methods

"Goodness of Fit Testing in Rm Based on the Weighted Empirical Distribution of Certain Nearest Neighbor Statistics",  The Annals of Statistics, vol. 11, no. 1, pp. 1-12. [30]

"An Infinite-Dimensional Approximation for Nearest Neighbor Goodness of Fit Tests", The Annals of Statistics, vol. 11, no. 1, pp. 13-24. [20]

"Multivariate Two-Sample Tests Based on Nearest Neighbors", Journal of the American Statistical Association, vol. 81, no. 395, 799-806. [143]

"Mutual and Shared Neighbor Probabilities:  Finite- and Infinite-Dimensional Results", Advances in Applied Probability, vol. 18, 388-405. [37]

"Spatial Clustering for Inhomogeneous Populations", Journal of the Royal Statistical Society, by J. Cuzick and R. Edwards (discussant), vol. 52, no. 1, 73-104.


Experimental Design

"Spatial Designs When the Observations are Correlated", Communications in Statistics -- Simulation and Computation, vol. 21, no. 1, 243-267. [12]

"Robustness of Design Against Autocorrelation in Time II: Optimality, Theoretical and  Numerical Results for the First Order Autoregressive Process"
(with P. J. Bickel and A. M.  Herzberg), Journal of the American Statistical Association, vol. 76, no. 376, 870-877. [32]

Confidence Intervals

"Length minimization for Poisson confidence procedures" (with B. Holladay), Communications in Statistics -- Theory and Methods, 2017, vol. 46, no. 2, 861-873.

"A Coverage Probability Approach to Finding an Optimal Binomial Confidence Procedure" (with J. A. Doi), The American Statistician, 2014, vol. 63, no. 3, 133-145. [9]

TABLE OF LENGTH MINIMIZING OPTIMAL COVERAGE BINOMIAL CONFIDENCE INTERVALS (minimum coverage = 1–alpha)

TABLE OF LENGTH MINIMIZING OPTIMAL COVERAGE BINOMIAL CONFIDENCE INTERVALS (mean coverage = 1–alpha)

TABLE OF NEAR LENGTH OPTIMAL POISSON CONFIDENCE INTERVALS (minimum coverage = 1–alpha)


Applications

“Is Human Height Bimodal?” (with A. Watkins and B. Watkins), The American Statistician, vol. 56, no. 3, 223-229. [100]

“Do You Know Your Relative Driving Speed?”, Mathematics Magazine, vol. 79, no. 2, 131-134.

“The Average Speed on the Highway” (with L. Clevenson, A. Watkins and B. Watkins),
The College Mathematics Journal, vol. 32, no. 3, 169-171. [4]

"The Importance of a Game", Mathematics Magazine, vol. 67, no. 4, 282-288. [8]

"Evidence of Systematic Bias in 2008 Presidential Polling", (with Leonard Adelman), http://arxiv.org/abs/0810.5603v1.

                     "Does Momentum Exist in Competitive Volleyball?", Chance Magazine, vol. 22, no. 4, 29-35. [6]

                     "Exploring Unpopular Presidential Elections" (with M. Neubauer and J. Zeitlin), http://arxiv.org/abs/1206.2683.                     

"Effect of Age, Parity, and Race on the Incidence of Pregnancy Associated Hypertension and Eclampsia in the United States" (with R. Gold, K. Gold, T. Modilevsky),
 Pregnancy Hypertension: An International Journal of Women's Cardiovascular Health,
vol 4, no. 1, 46-53. [5]

Other Journal Publications

"Sequential Partitioning", The American Mathematical Monthly, vol. 99(9), 846-855.[3]

"Some Remarks on Quick Estimation of the Correlation Coefficient", The American Statistician, vol. 38, p. 330. [8]

"A Suggestion for Sunflower Plots" (with Ann Watkins), The American Statistician,  vol. 48, no. 4, 303-305. [6]

"Small Steps to a Student-Centered Classroom", (with J. Castro, J. Gold, E. Marchisotto and J. Zeitlin), Problems, Resources and Issues in Mathematics
Undergraduate Studies (Primus)
, vol. 1, no. 3, 253-274. [3]


Math Horizons

Pondering Parrondo’s Paradox”, Sept. 2008
“Sporting Chances”, April 2005
A Switch in Time Pays Fine”, September 2003
Is the SAT I Exam Irrelevant?" , November 2002
Measuring Diversity in the United States, April 2002
Things Aren’t Always What They Seem”, Nov. 2001
The 2000 Presidential Election: “A Statistical post-mortem”, April 2001
Ten Out of Nine Dentists Prefer Crest..., Sept. 2000
Three Estimation Challenges, April 2000
Aliens, Asteroids and Astronomical Odds, Nov. 1999
“Probability--From Monte Carlo to Geometry”, Sept. 1999
“Census 2000--Count on Controversy", November 1998
Statistics and Passive Smoking", September 1998
“Living in a World of Risk", April 1998
“Bible Codes, Ask Marylin and El Niño", February 1998

"
The Edge of the Universe: Celebrating Ten Years of Math Horizons (Spectrum)", The Mathematical Association of America, 2006