Education

• B.S., Mathematics, Purdue University
• M.S., Applied Mathematics, Purdue University
• Ph.D., Industrial Engineering, Purdue University

Mailing address

Department of Mathematics
College of William & Mary
P.O. Box 8795
Williamsburg, VA 23187-8795

e-mail address

MY_LAST_NAME[At]math[DoT]wm[DoT]edu

Office

Jones Hall, 101C

: (voice) 757-221-2034, (faxX) 757-221-7400

Vitae PDF

Short Vitae PDF

Research Interests

• Reliability
• Simulation
• Probability
• Statistics

Most recent syllabi

• Pre-calculus, Math 103
• Calculus, Math 111
• Applied Statistics, Math 308
• Probability, Math 401/501
• Probability, Math 424/524
• Statistics, Math 452/552
• Mathematical Statistics, Math 410
• Reliability, CSCI 668
• Statistical Analysis of Simulation Models, CSCI 678
• Computational Probability, CSCI 688
• Simulation Modeling, CSCI 698

Books/Software

• Reliability: Probabilistic Models and Statistical Methods , 1995, Prentice-Hall. ISBN: 0-13-720517-1.
  • Contents
  • Errata
  • Exercises
• Reliability: Probabilistic Models and Statistical Methods, Second Edition , 2009, Lightning Source, ISBN: 978-0-692-00027-4.
  • Contents
  • Errata
  • Exercises
• Discrete Event Simulation: A First Course (with S. Park), 2006, Prentice-Hall. ISBN: 0-13-142917-5. International edition. ISBN: 0-13-202056-4.
  • Contents
  • Errata
  • Summary
  • Slides for teaching available by e-mailing Barry Lawson
  • C code and data files (filename listing)
    • Download C simulation source code (40 files) as a Unix tarball: DES_1e_SourceCode.tgz --- updated 2/14/06. On Unix/Linux systems, use tar -xzvf DES_1e_SourceCode.tgz to recover files. Compile the programs by running the Makefile with: make. Execute the programs with: ./programname.
    • Download C simulation source code (40 files) as a Zipped file: DES_1e_SourceCode.zip --- updated 2/14/06.
  • Java code and data files (filename listing)
    • Download Java simulation source code (35 files) as a Unix tarball: DES_1e_SourceCode_Java.tgz --- updated 6/16/06. On Unix/Linux systems, use tar -xzvf DES_1e_SourceCode_Java.tgz to recover files. Compile the programs with: javac *.java. Execute the programs with: java programname.
    • Download Java simulation source code (35 files) as a Zipped file: DES_1e_SourceCode.zip --- updated 6/16/06.
• Computational Probability: Algorithms and Applications in the Mathematical Sciences (with John Drew, Diane Evans, and Andy Glen), 2008, Springer. ISBN: 978-0-387-74675-3.
  • Springer website
  • Download APPL
  • APPL Bivariate Extension
  • APPL Queueing Extension
  • Trivariate Soujourn Time Distribution
  • Time Series Extension
• Probability, 2011, Lightning Source, ISBN: 978-0-9829174-0-4.
  • Contents
  • First printing (paperback with Snowfall Press): Errata
  • Second printing (hardback with Lightning Source): Errata
    • Second printing: Answers to selected exercises
• Transitioning to Calculus, 2012, Lightning Source, ISBN: 978-0-9829174-9-7.
  • Contents
  • Errata

Selected Articles

• "Variate Generation for Accelerated Life and Proportional Hazards Models," Operations Research, Volume 35, Number 6, November-December 1987, 892-894.
• "Variate Generation for the Accelerated Life and Proportional Hazards Models with Time Dependent Covariates" (with L. Shih and K. Reynertson), Statistics and Probability Letters, Volume 10, Number 1, 1990, 335-339.
• "Nonparametric Estimation of the Cumulative Intensity Function for a Nonhomogeneous Poisson Process," Management Science, Volume 37, Number 7, July 1991, 886-900.
• "Variate Generation for Nonhomogeneous Poisson Processes with Time Dependent Covariates" (with L. Shih), Journal of Statistical Computation and Simulation, Volume 44, 1993, 165-186.
• "On the Minimum of Independent Geometrically Distributed Random Variables" (with G. Ciardo, D. Nicol), Statistics & Probability Letters, Volume 23, 1995, 313-326.
• "A Comparison of Approximate Interval Estimators for the Bernoulli Parameter" (with K. Trivedi), The American Statistician, Volume 50, Number 1, 1996, 288-295.
• "Computational Algebra Applications in Reliability Theory" (with G. Hartless), IEEE Transactions on Reliability, Volume 45, Number 3, September 1996, 393-399.
• "The Arctangent Survival Distribution" (with A. Glen), Journal of Quality Technology, Volume 29, Number 2, 1997, 205-210.
• "A Generalized Univariate Change-of-Variable Transformation Technique" (with A. Glen, J. Drew), INFORMS Journal on Computing, Volume 9, Number 3, Summer 1997, 288-295.
• "Seven Habits of Highly Successful Input Modelers," Proceedings of the 1997 Winter Simulation Conference, S. Andradottir, K. Healy, D. Withers, B. Nelson, Eds., 1997, 39-46.
• "Simulation," Section 7.9, CRC Handbook of Discrete and Combinatorial Mathematics, K.H. Rosen, et al., Eds., CRC Press, Boca Raton, FL, 1999. 484-491.
• "Nonparametric Estimation of the Cumulative Intensity Function for a Nonhomogeneous Poisson Process from Overlapping Realizations" (with B.L. Arkin), Management Science, Volume 46, Number 7, July 2000, 989-998.
• "Computing the Cumulative Distribution Function of the Kolmogorov-Smirnov Statistic" (with J. Drew and A. Glen), Computational Statistics and Data Analysis, Volume 34, Number 1, July 2000, 1-15. Algorithm. First 30 CDFs.
• "Survival Distributions Satisfying Benford's Law" (with B. Schmeiser and D. Evans), The American Statistician, Volume 54, Number 4, November 2000, 236-241 errata.
• "Input Modeling Using a Computer Algebra System" (with D. Evans), Proceedings of the 2000 Winter Simulation Conference, J. Joines, R. Barton, P. Fishwick, K. Kang, Eds., 2000, 577-586.
• "APPL: A Probability Programming Language" (with A. Glen, D. Evans), The American Statistician, Volume 55, Number 2, May 2001, 156-166. Original full manuscript.
• "Input Modeling Techniques for Discrete-Event Simulations," Proceedings of the 2001 Winter Simulation Conference, B.A. Peters, J.S. Smith, D.J. Medeiros, M.W. Rohrer, Eds., 2001, 62-73.
• "Computing the Distribution of the Product of Two Continuous Random Variables" (with J. Drew and A. Glen), Computational Statistics and Data Analysis, Volume 44, Number 3, January 2004, 451-464.
• "Nonparametric Estimation and Variate Generation for a Nonhomogeneous Poisson Process from Event Count Data," IIE Transactions, Volume 36, Number 12, December 2004, 1155-1160.
• "Algorithms for Computing the Distributions of Sums of Discrete Random Variables" (with D. Evans), Mathematical and Computer Modelling, Volume 40, Number 13, 2004, 1429-1452.
• "The Distribution of Order Statistics for Discrete Random Variables with Applications to Bootstrapping" (with D. Evans and J. Drew), INFORMS Journal on Computing, Volume 18, Number 1, Winter 2006, 19-30.
• "Lower System Reliability Bounds from Binary Failure Data Using Bootstrapping," Journal of Quality Technology, Volume 38, Number 1, January, 2006, 2-13.
• "Minimum Kolmogorov-Smirnov Test Statistic Parameter Estimates" (with M. Weber and R. Kincaid), Journal of Statistical Computation and Simulation, Volume 76, Number 3, 2006, 195-206. code.
• "Algorithms to Calculate the Distribution of the Longest Path Length of a Stochastic Activity Network with Continuous Activity Durations" (with M. Duggan, J. Drew, J. Mallozzi, K. Connell), Volume 48, Issue 3, 2006, Networks. 143-165. 143-165. Maple code for: Pritsker network, Wheatstone Bridge network, 8-path network; Algorithm, Maple code.
• "Simulation 101 Software: Workshop and Beyond" (with B. Lawson), Proceedings of the 2007 Winter Simulation Conference, Henderson, S.G., Biller, B., Hsieh, M.--H., Shortle, J., Tew, J.D., Barton, R.R., Eds., 2007, 233-236.
• "Univariate Distribution Relationships" (with J. McQueston), The American Statistician, Volume 62, Number 1, February 2008, 45-53.
• "The Logistic-Exponential Survival Distribution" (with Y. Lan), Naval Research Logistics, Volume 55, Number 3, April 2008, 252-264. Errata.
• "Model Discrimination for Heavily Censored Survival Data" (with D. Block), IEEE Transactions on Reliability, Volume 57, Number 2, June, 2008, 248-259.
• "The Distribution of the Kolmogorov-Smirnov, Cramer-von Mises, and Anderson-Darling Test Statistics for Exponential Populations with Estimated Parameters" (with D. Evans, J. Drew), Communications in Statistics--Simulation and Computation, Volume 37, Number 7, August, 2008, 1396-1421.
• "Reliability Growth Via Testing" (Author Posting. (c) 'Copyright Holder', 2010. This is the author's version of the work. It is posted here by permission of 'Copyright Holder' for personal use, not for redistribution. The definitive version was published in IIE Transactions, Volume 42 Issue 4, April 2010. doi:10.1080/07408170903398000, http://dx.doi.org/10.1080/07408170903398000) IIE Transactions, Volume 42, Number 4, 2010, 317-324.
• "Moment-Ratio Diagrams for Univariate Distributions," (with E. Vargo, R. Pasupathy), Journal of Quality Technology, Volume 42, Number 3, July, 2010, 276-286, Skewness vs. Kurtosis (color version), Coefficient of variation vs. Skewness (color version).
• "Rectangles Algorithm for Generating Normal Variates" (with R. Zhang), Naval Research Logistics, Volume 59, Number 1, February, 2012, 52-57. n = 2, n = 4 (Matlab code), n = 8 (Matlab code), n = 16, n = 32, n = 64, n = 128, n = 256, n = 512, n = 1024, (Matlab code).
• "Automating Bivariate Transformations," (with J. Yang, J. Drew), INFORMS Journal on Computing, Volume 24, Number 1, Winter 2012, 1-9.
• "Transient Queueing Analyis," (with W. Kaczynski, J. Drew), INFORMS Journal on Computing, Volume 24, Number 1, Winter 2012, 10-28.
• "Nonparametric Random Variate Generation Using A Piecewise-Linear Cumulative Distribution Function" (with W. Kaczynski, N. Loehr, J. Taber), Communications in Statistics--Simulation and Computation , Volume 41, Number 4, 2012, 449-468. S-Plus code.
• "Bivariate Nonparametric Random Variate Generation Using A Piecewise-Linear Cumulative Distribution Function" (with W. Kaczynski, N. Loehr, J. Taber), Communications in Statistics--Simulation and Computation , Volume 41, Number 4, 2012, 469-496.
• "Simulating Multivariate NHPPs Using Projections" (with E. Saltzman, J. Drew, S. Henderson), ACM Transactions on Modeling and Computer Simulation (TOMACS), Forthcoming, 2012.

Other Academic Employment The University of Oklahoma School of Industrial Engineering, Purdue University School of Industrial Engineering, Baylor University Mathematics Department, Purdue University Mathematics Department.

Consulting/Research Experience Woodmizer, Inc., Yorktown Naval Weapons Station, Price-Trac, Institute for Computing Applications in Science and Engineering (ICASE), United States Army, Komag, Inc., Federal Aviation Administration, Tinker Air Force Base, McDonnell-Douglas Corporation, Kelly Air Force Base, Magnetic Peripherals, Inc., AT&T Corporate Education Center, AT&T Technologies, Inc., NASA/Langley Research Center, Delco Electronics, Nisus Corporation, Leemis Marketing, Inc., Argonne National Laboratory, Dunn & Hargitt, OakBrook Data Center.

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