Dr. Kyle Siegrist Professor Emeritus, Mathematical Sciences Department Education Ph.D., Mathematics, Georgia Institute of Technology, 1979 M.S., Applied Mathematics, Georgia Institute of Technology, 1974 B.S., Applied Mathematics, Georgia Institute of Technology, 1972 Affiliations American Mathematical Society Mathematical Association of America Institute of Mathematical Statistics 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.