Kyle Siegrist

Education

BS in Applied Mathematics, 1972, Georgia Institute of Technology
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

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
Probability Distributions on Partially Ordered Sets and Positive Semigroups
Interactive Probability, 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.
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

Editor, Journal of Online Mathematics and Its Applications, 2005-2008
Associate Editor, Loci, 2009-present
Reviewer for Mathematical Reviews
Referee for Journal of Applied Probability, Journal of Theoretical Probability