Talks and Seminars

• "The Keystones of Queueing" -- UC Riverside Mathematics Seminar -- Riverside, CA (2019)
• "Chemical Kinetics in Computer Networks" -- CHINOG 09 -- Chicago, IL (2019)
• "Counterexamples, Subtleties, and Paradoxes in Probability" -- Marquette Mathematics Seminar -- Milwaukee, WI (2019)
• "Vertical Dependency Structures in Sequences of Discrete Random Variables" -- Marquette Mathematics Seminar -- Milwaukee, WI (2018)
• "Some New Thoughts on Anomaly Detection and Time Series Modeling" -- SNIA Storage Developer's Conference -- Santa Clara, CA (2018)
• "Modeling Network Reliability More Simply Using Probability" -- CHINOG 08 -- Chicago, IL (2018)
• "Dynamic Reliability Methods for a Clustered Task Server" -- SNIA Storage Developer's Conference -- Santa Clara, CA (2017)
• "The Business of Stochastic Multilevel Disk Risk Modeling for Storage Arrays" -- SNIA Storage Developer's Conference -- Santa Clara, CA (2017)
• "The Gravity of Mathematics" -- Tech Field Day Exclusive -- Santa Clara, CA (2017)
• "Modeling Disk Failures with Absorbing Markov Chains" -- SNIA Storage Developer's Conference -- Santa Clara, CA (2016)
• "Coherent Systems Analysis" -- Professional Lecture -- ipSpace.net
• "Reliability Basics" -- Professional Lecture -- ipSpace.net
• "Queueing Theory Basics" -- Professional Lecture -- ipSpace.net
• "Graph Theory: Connectivity and Reliability" -- Professional Lecture -- ipSpace.net
• "Graph Theory: Trees" -- Professional Lecture -- ipSpace.net

Issued Patents

• Method for Dynamically Modeling Medium Error Evolution to Predict Disk Failure, US 10,191,668
• Prediction of Disk Failure, US 9,612,896

Publications

• Generalizing the Negative Binomial Distribution Via First-Kind Dependence | Traylor, R. |Journal of The Math Citadel
• On Permuted First-Kind Dependence of Categorical Random Variables | Traylor, R. | Journal of The Math Citadel
• A Generalized Geometric Distribution From Vertically Dependent Bernoulli Random Variables | Traylor, R. | Journal of The Math Citadel

• Stochastic Reliability of a Server under a Random Workload| Traylor, R. | AACTO Vol 1, Issue 2

• Vertical Dependency in Sequences of Categorical Random Variables| Traylor, R. and Hathcock, J. | AACTO Vol. 1, Issue 2

• Reliability of a Clustered-Task Server Under Modulated Correlation | Traylor, R. & Korzeniowski, A. | International Journal of Statistics and Probability, Vol. 6, No. 2

• A Generalized Multinomial Distribution from Dependent Categorical Random Variables | Traylor, R.​​​ | AACTO, Vol. 1. Issue 1, pp 1-15

• Dynamic Reliability of a Cluster Server | Korzeniowski, A. & Traylor, R. | International Journal of Statistics and Probability, Vol. 5, No. 4, pp 45-51

• ​​RAIDShield: Characterizing, Monitoring, and Proactively Protecting Against Disk Failures | Ma. A, et. al | ACM Transactions on Storage, Vol. 11, Issue 4

• Stochastic Reliability Models for a General Server and Related Networks | Traylor, R. | Ph.D. Dissertation, University of Texas at Arlington

Courses Taught

• Statistical Methods (Fall 2019) -- Marquette University, Milwaukee, WI
• Calculus 4 (Winter 2018) -- Foothills College, Los Altos Hills, CA
• Calculus 2 (Spring 2015) -- University of Texas at Arlington, Arlington, TX
• Statistical Inference (Fall 2014) - University of Texas at Arlington, Arlington, TX
• Multivariate Data Analysis (Spring 2014) --University of Texas at Arlington, Arlington, TX
• Elementary Statistical Analysis (Fall 2013, summer 2014) -- University of Texas at Arlington, Arlington, TX
• Calculus 1-3 (Fall 2008 - Spring 2011) -- Georgia Institute of Technology, Atlanta, GA