UAH > Math > Faculty > Siegrist

Kyle Siegrist

Education

• BS in Applied Mathematics, 1972, Georgia Institute of Technology (Suma Cum Laude)
• MS in Applied Mathematics, 1974, Georgia Institute of Technology
• PhD in Mathematics, 1979, Georgia Institute of Technology

University of Alabama in Huntsville

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

Professional Memberships

• American Mathematical Society
• Institute of Mathematical Statistics
• Mathematical Association of America

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

• Virtual Laboratories in Probability and Statistics. This is a web-based interactive book on probability, statistics, and random processes that combines expository text, Java applets, a Java object library, data sets, and biographical sketches.
• Probability Distributions on Positive Semigroups. This is a research monograph.
• Interactive Probability. This is a book and software package published by Duxbury Press, 1996.

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.
• "The Case for Confidence Sets", Kyle Siegrist, submitted
• "Decomposition of Exponential Distributions on Positive Semigroups", Kyle Siegrist, Journal of Theoretical Probability, 19 (2006), 204-220.
• "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.

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

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

Professional Service

• Editor, Journal of Online Mathematics and Its Applications
• Reviewer for Mathematical Reviews
• Referee for Journal of Applied Probability