Peyton Cook PhD

Associate Professor of Mathematics College of Engineering & Natural Sciences


Peyton Cook received his Ph.D. in Statistics from Oklahoma State University in 1983. He has published papers on the theory of Bayesian Statistical Inference as well as papers applying statistics to business and biology. His current interest is Henstock-Kurzweil integration.

Ph.D., Oklahoma State University
M.S., Oklahoma State University
B.S., Oklahoma State University
B.A., The University of Tulsa

Bayesian Statistical Inference
ARIMA time series
Financial mathematics and numerical solutions to Ito Processes
Generalized Riemann Integration

Statistics Methods for Engineers and Scientists
Ordinary Differential Equations
Calculus II, Integration and Series
Box-Jenkins Time Series Forecasting
Generalized Linear Models
Probability for Actuaries
Basic Calculus

The following may be selected publications rather than a comprehensive list.

Journal Articles

Sanderson, Charlotte E., Peyton Cook, Peggy S. M. Hill, Benjamin S. Orozco, Harrington Wells and Charles I. Abramson. 2013. Nectar quality perception by honey bees (Apis mellifera ligustica). Journal of Comparative Psychology 127: 341-251. DOI:10.1037/a0032613

Cook, P, C. Fu, M. Hickey, E. Han, and K. S. Miller (2004), “SAS programs for real-time RT-PCR having multiple independent samples”, BioTechniques 37, pp. 990-995

Marino, J. H., P. Cook, and K. S. Miller (2003), “Accurate and statistically verified quantification of relative mRNA abundances using SYBR Green I and real-time RT-PCR”, Journal of Immunological Methods, 283, pp. 291-306

Cakmak, I., Cook, P., Hollis, J., Shah, N., Huntley, D., Van Valkenburg, D., and H. Wells (1999), “Africanized Honey Bee Response to Differences in Reward Frequency”, Journal of Apicultural Research, 38(3-4), pp. 125-136

Wells, H., Cakmak, I, Cook, P., and D. Van Valkenburg (1998), “Alternative Africanization Models for the Yucatan: Continued Discussion”, Bee World, pp. 106-111

Broemeling, L. D. and P. Cook (1997), “A Bayesian Analysis of Regression Models with Continuous Errors with Application to Longitudinal Studies”, Statistics in Medicine, 16, pp. 321-332

Cook, P. and L. D. Broemeling (1995), “Bayesian Statistics with Mathematica”, The American Statistician, Vol. 49, No. 1, pp. 70-76

Cook, P. and L. D. Broemeling (1994), “A Bayesian WLS Approach to Generalized Linear Models”, Communications in Statistics, 23(12), pp. 3323-3347

Cook, P. and L. D. Broemeling (1993), “Bayesian Estimation of the Mean of an Autoregressive Process”, The Journal of Applied Statistics, 20(1), pp. 25-39

Broemeling, L. D. and P. Cook (1992), “Bayesian Analysis of Threshold Autoregressions”, Communications in Statistics, 21(9), pp. 2459-2482

Broemeling, L.D., Cook, P., and M. Gharraf (1990), “A Bayesian Analysis of the Mixed Linear Model”, Communications in Statistics, A19(3), pp. 987-1002

Wells, H. Wells, P. H., and P. Cook (1989), “The Importance of Overwinter Aggregation for Reproductive Success of Monarch Butterflies (anaus plexippus)”, The Journal of Theoretical Biology, pp. 115-131

Cook, Peyton J. (1987), “Bayesian Autoregressive Filter and Squared Gain Estimation”, Communications in Statistics, 16(9), pp. 2697-2715

Cook, Peyton (1985), “Bayesian Autoregressive Spectral Analysis”, Communications in Statistics, A14(5), pp. 1001-1018

Berberet, R.D., Cook, P.J., and D. A. Sander (1982), “Fecundity of the Lesser Cornstalk Borer, Elasmopalpus lignosellus, from Florunner and Spanhoma Peanut Cultivars”, Peanut Science, 9, pp. 60-62. Also listed as Journal Article 4118 of the Agric. Exp. Station, Okla. State Univ, Stillwater, Okla.

Book Chapters

Cook, P. and L. D. Broemeling (1996), “Analyzing Threshold Autoregressions with a Bayesian Approach”, in Advances in Econometrics: Bayesian Methods Applied to Time Series Data, Vol. 11B, pp. 89-107, JAI Press, Inc., Greenwich, Connecticut

Broemeling, L. D., Cook, P., and J. Chin Choy (1991), “Bayesian Inferences about the Intersection of Two Regressions”, Chapter 6, pp. 77-84, in Economic Structural change:Analysis and Forecasting, edited by Hackl and Westlund, Springer-Verlag

Cook, Peyton J. (1988), “Small Sample Bayesian Frequency Domain Analysis of Autoregressive Models”, Chapter 5 in Bayesian Analysis of Time Series and Dynamic Models, pp. 101-126, edited by James C. Spall, Marcel Dekker, New York

Conference Proceedings

Pomeranz, Shirley, and Peyton Cook. “My Fifty Years of Calculus.” ASEE: 2017 American Society for Engineering Education Annual Conference Proceedings, 2017. Print.

Letcher, J. H., O’Neil, K. A., and P. Cook (1993), “An Imaging Device that Uses the Wavelet Transformation as the Image Reconstruction Algorithm: Part III”, Proceedings of the IEE, UK., Acoustic Sensing and Imaging, 29-30 March 1993, pp. 56-59

Cook, P., Broemeling, L., and M. Gharraf (1990), “Using a Mixed Model Analysis to Improve the Manufacturing Process"” Proceedings of the First Oklahoma Quality Conference, Stillwater, Oklahoma, pp. 50-63

Broemeling, L. D. and P. Cook (1988), “Bayesian Forecasting”, contained in The American Statistical Association 1988 Proceedings of the Business and Economic Statistics Section, pp. 590-595

MATH 2024 Calculus II
MATH 3073 Differential Equations
MATH 7863 Special Topics in Mathematics
STAT 4813 Statistical Methods for Scientists and Engineers