Kyle Siegrist

Professor

Address Information

Education

University of Alabama in Huntsville

  • Assistant Professor: 1980-1986
  • Associate Professor: 1986-1998
  • Full Professor: 1998-present
  • Department Chair: 2001-2005

Professional Memberships

General Research Interests

  • Probability, stochastic processes, statistics,
  • Reliability theory
  • Probability models on discrete and algebraic structures
  • Computer-based and web-based instruction in probability and statistics

Major Projects

Selected Journal Publications

  • Random Evolution Processes with Feedback, Kyle Siegrist, Transactions of the American Mathematical Society, 265 (1981), 375-391.
  • Harmonic Functions and the Dirichlet Problem for Revival Markov Processes, Kyle Siegrist, Annals of Probability, 11 (1983), 624-634.
  • Bivariate Step Processes and Random Evolutions, Kyle Siegrist, Journal of Multivariate Analysis, 14 (1984), 201-211.
  • Estimation and Optimal Stopping in a Debugging Model with Masking, Kyle Siegrist, Journal of Applied Probability, 22 (1985), 336-345.
  • A Debugging Model with Independent Flaws and Random Masking, Kyle Siegrist, Operations Research, 34 (1986), 177-178.
  • Markov Chains with Binomial Time Change, Kyle Siegrist, Journal of Applied Probability, 23 (1986), 519-523.
  • An Urn Model with Bernoulli Removals and Independent Additions, Kyle Siegrist, Stochastic Processes and Their Applications, 25 (1987), 315-324.
  • Exact Formulas for Reliability Measures for Various Classes of Graphs, Ashok Amin, Kyle Siegrist, and Peter Slater; Congressus Numerantium, 58 (1987), 43-52.
  • Pair-Connected Reliability of a Tree and Its Distance Degree Sequences, Ashok Amin, Kyle Siegrist and Peter Slater; Congressus Numerantium, 58 (1987), 53-65.
  • Reliability of Systems with Markov Transfer of Control, Kyle Siegrist, IEEE Transactions on Software Engineering, SE 14 (1988), 1049-1053.
  • Reliability of Systems with Markov Transfer of Control II, Kyle Siegrist, IEEE Transactions on Software Engineering, SE 14 (1988), 1478-1480.
  • Pair-Connected Reliability of Communications Networks with Vertex Failure, Ashok Amin, Kyle Siegrist, and Peter Slater; Congressus Numerantium 67 (1988), 233-242.
  • n-point, win-by-k games, Kyle Siegrist, Journal of Applied Probability, 27 (1989), 807-814.
  • The Central Limit Theorem and the Law of Large Numbers for Pair-Connectivity in Bernoulli Trees, Kyle Siegrist, Ashok Amin and Peter Slater, Probability in the Engineering and Informational Sciences,3 (1989), 477-491.
  • On the Nonexistence of Uniformly Optimal Graphs for Pair-Connected Reliability, Ahok. Amin, Kyle Siegrist and Peter Slater; Networks, 21 (1991), 359-368.
  • On the Expected Number of Pairs of Connected Nodes: Pair-Connected Reliability, Ashok Amin, Kyle Siegrist and Peter Slater; Mathematical and Computer Modeling, 17 (1993), 1-11.
  • The Optimal Unicyclic Graphs for Pair-Connected Reliability, Kyle Siegrist, Ashok Amin and Peter Slater; Discrete Applied Mathematics, 41 (1993), 235-243.
  • On Uniformly Optimally Reliable Graphs for Pair-Connected Reliability with Vertex Failures, Ashok Amin, Kyle Siegrist and Peter Slater; Networks, 23 (1993), 185-193.
  • Optimal Occupation in the Complete Graph, Kyle Siegrist, Probability in the Engineering and Informational Sciences, 7 (1993), 369-385.
  • Exponential Distributions on Semigroups, Kyle Siegrist, Journal of Theoretical Probability, 7 (1994), 725-737.
  • Expected Value Expansions in Random Subgraphs with Applications to Network Reliability, Kyle Siegrist, Combinatorics, Probability and Computing, 7 (1998) 465-483.
  • Relative Aging of Distributions, Ginger Holmes-Rowell and Kyle Siegrist, Probability in the Engineering and Informational Sciences, 12 (1998), 469-478.
  • Generalizations of Bold Play in Red and Black, M Pendergrass and Kyle Siegrist, Stochastic Processes and Their Applications, 92 (2001), 163-180.
  • Sequential Games, Kyle Siegrist and John Steele, Journal of Applied Probability, 38 (2001), 1006-1017
  • Renewal Processes on Partially Ordered Sets, Kyle Siegrist, Random Structures and Algorithms, 22 (2003), 15-32.
  • The Probability/Statistics Object Library, Kyle Siegrist, Journal of Online Mathematics and Its Applications, October 2004.
  • Decomposition of Exponential Distributions on Positive Semigroups, Kyle Siegrist, Journal of Theoretical Probability, 19 (2006), 204-220.
  • Expository Mathematics in the Digital Age, Kyle Siegrist, Editor's Note, Journal of Online Mathematics and Its Applications
  • Random, Finite Subsets with Exponential Distributions, Kyle Siegrist, 21 (2007), 117-131.
  • Exponential and Gamma Distributions on Positive Semigroups with Applications to Dirichlet Distributions, Kyle Siegrist, Bernoulli 13 (2007), 330-345.
  • Mathematics with Structure and Style, Kyle Siegrist, Editor's Note, Journal of Online Mathematics and Its Applications, 2007
  • How to Gamble if You Must, Kyle Siegrist, Loci, July 2008.
  • Constant Rate Distributions on Partially Ordered Sets, Kyle Siegrist, Journal of Probability and Statistics, vol. 2010, Article ID 675754, 21 pages, 2010. doi:10.1155/2010/675754.
  • Statistics and Gambling, Kyle Siegrist, International Encyclopedia of Statistical Science, Miodrag Lovric (Ed.), 2011, Springer.
  • Extending and Customizing Content MathML, submitted to Loci
  • Upward and Downward Runs on Partially Ordered Sets, Kyle Siegrist.

Technical Reports

  • Statistical Analysis of a Debugging Model, Kyle Siegrist, 1982 Summer Faculty Research Program, NASA, Contract Report CR-162051, December, 1982.
  • A Markov Chain Model for Reliability Growth and Decay, Kyle Siegrist, 1983 Summer Faculty Research Program, NASA, Contract Report CR 170942
  • Reliability of Systems with Markov Transfer of Control, Kyle Siegrist, 1985 Summer Faculty Research Program, Air Force Office of Scientific Research, Rome Air Development Center. Contract Number F49620-85-C-0013, August, 1985.
  • Reliability of Systems with Random Transfer of Control, Kyle Siegrist, Research Initiation Program, Air Force Office of Scientific Research, Rome Air Development Center, Contract Number F49620-85-C-0013, June, 1986.
  • Development of Predictive Models from Hardware Historical Failure Data, Kyle Siegrist, E Goss, and L Yarbrough, Rockwell Corporation, UAH Report #500, April, 1986.
  • Regression Analysis of SSME Hot Fire Tests, Kyle Siegrist, Calspan Corporation, Contract Number S88-08, December, 1988.
  • Statistical Analysis of SSME Nozzle Tube Leaks, Kyle Siegrist , Calspan Corporation, Contract Number S88-08, March, 1989
  • Statistical Analysis of SSME Nozzle Tube Leaks-Phase II, Kyle Siegrist, Calspan Corporation, Contract Number S89-08, December 1989.
  • Statistical Analysis of High Pressure Fuel Turbo Pump Static Seals, Kyle Siegrist, Calspan Corporation, Contract Number S89-08, March, 1990.
  • Reliability Growth/Useful Life Methodology Analysis, Kyle Siegrist, Calspan Corporation, Special Study Z001V02, July, 1991.

Contracts and Grants

  • Reliability of Systems with Random Transfer of Control, Kyle Siegrist, Air Force Office of Scientific Research, December 1985-May, 1986, $18,000.
  • Development of a Predictive Model from Hardware Historical Failure Data, Kyle Siegrist, EP Goss, and .LS Yarborough; Rockwell Corporation, March-April, 1986, $10,000.
  • Time Line Analysis for Evaluation of C2 Architectures, Kyle Siegrist and MH Chang; US Army Missile Command, July-September, 1987, $12,000.
  • Reliability and Survivability of Communications Networks, Peter Slater, Ashok Amin and Kyle Siegrist, Office of Naval Research, 1986-1988, $170,000.
  • Special Studies: Analysis of SSME Premature Cutoff and Nozzle Tube Leaks, Kyle Siegrist, Calspan Corporation, October, 1988-March, 1989, $11,000.
  • Special Studies: Analysis of SSME Nozzle Tube Leaks and HPFTP Static Seals, Kyle Siegrist, Calspan Corporation, October, 1989-March, 1990, $12,000.
  • Special Studies: Reliability Growth Methodology, Kyle Siegrist, Calspan Corporation, June, 1991, $4000.
  • Development of Software for Modeling Interactive Particle Systems, Kyle Siegrist, UAH Mini-Grant, 1994-1995, $1000.
  • Interactive Mathematics Text Project Grant, Mathematical Association of America, Kyle Siegrist, 1994-1995, (Equipment and Travel) approximately $10,000.
  • Microsoft Instructional Lab Grant, Kyle Siegrist, RE Trueblood, and ME Weisskopf , 1995 (Software) approximately $18,000
  • Virtual Laboratories in Statistics, Kyle Siegrist, National Science Foundation 1997-1999, $110,000.
  • Preparation for Reform in the UAH Calculus Sequence, Kyle Siegrist, PM Gibson, JF Epperson, BI Kunin, W. Huang, UAH Instructional Minigrant, 1997-98, $2000.
  • Faculty Training in Web Based Course Material, Kyle Siegrist, UAH Instructional Minigrant, 1999-2000, $3000.
  • The Probability/Statistics Object Library, Kyle Siegrist, National Science Foundation 2001-2003, $158,000
  • Distributome, An Interactive Web-based Resource for Probability Distributions, Kyle Siegrist, Ivo Dinov, Dennis Pearl, National Science Foundation, 2010-2012, $300,000

Ph.D. Students Directed

  • Terri Johnson, Ph.D., Applied Mathematics, 1993, "Measures of Domination and Distance for Independent Sets Studied as Prioritized Multiproperty Set Problems."
  • Marcus Pendergrass, Ph.D., Applied Mathematics, 1994, "Complexity of Set-Valued Maps"
  • Ginger Rowell, Ph.D., Applied Mathematics, 1995, "Probability Distributions on Temporal Semigroups"

Fellowships

  • NASA/ASEE Summer Faculty Fellowship, Marshall Space Flight Center, 1982 and 1983
  • USAF/UES Summer Faculty Fellowship, Rome Air Development Center, 1985

Workshops

  • Applications of Graph Theory to Computer Networks, New Mexico State University, Summer, 1986
  • Probabilistic Algorithms, Johns Hopkins University, Summer, 1987
  • Interactive Mathematics Text Project, Morehouse College, Summer, 1993
  • Interactive Mathematics Text Project, Seattle Central Community College, Summer, 1994
  • Interactive Mathematics Text Project, St. Louis College of Pharmacy, Summer, 1995,
  • Workshop on Teaching Statistics (Organizer), University of Alabama in Huntsville, Summer, 1999
  • Project Welcome Workshop, Seattle Central Community College, Summer, 2000
  • Project Welcome Workshop, Metropolitan State Community College, St. Paul Minnesota, Summer 2001
  • Java Math Workshop, Emporia State University, Emporia, Kansas, Summer 2002
  • Workshop on Web-Based Course Materials in Probability and Statistics (Organizer), University of Alabama in Huntsville, Summer, 2003
  • Workshop on Web-Based Course Materials in Probability and Statistics (Organizer), Middle Tennessee State University, Murfreesboro, TN, Summer, 2003
  • Workshop on Post-Calculus Probability and Statistics (Presenter), University of Alabama in Huntsville, Summer, 2004
  • Workshop on the Evolution of Mathematical Communication in the Age of Digital Libraries, Institute for Mathematics and Its Applications, University of Minnesota, December 2006
  • Best Practices for Math on the Web, Mathematics Digital Library, Washington, DC, July 2007
  • New Collections Workshop, Mathematics Digital Library, Washington, DC, October 2010.

Professional Service