Welcome to Jesse Frey's homepage!
Contact Information:
(610) 519-4693
St. Augustine Center for the Liberal Arts, Room 447
Summer 2025 course websites:
Please see Blackboard for all course materials.
Research-related Code:
4. R functions for finding bootstrap confidence bands for the CDF using ranked-set sampling. (for Paper 49 below)
3. R functions for finding inclusion probabilities when using Level 1 ranked-set sampling to sample from a finite population. (for Paper 30 below)
2. R functions for finding confidence bands for the CDF when sampling from a finite population. (for Paper 21 below)
1. FORTRAN subroutines for using ranked-set sampling to find confidence intervals for quantiles of a finite population. (for Paper 4 below)
Villanova Links:
Department of Mathematics and Statistics
Statistical Software via VDesktop
Statistics Journals:
Publications:
Refereed papers:
80. Peyton Jones, J., Patel, V., and Frey, J. (2025+). "Knock feedback control strategies: A review", to appear in Annual Review in Control.
79. Frey, J. and Zhang. Y. (2025+). "Robust adjusted Wald confidence intervals for a proportion based on ranked-set sampling", to appear in the Journal of Statistical Computation and Simulation.
78. Peyton Jones, J., Patel, V., and Frey, J. (2025). "An analysis of esstimation strategies for knock control", International Journal of Engine Research, 26: 593-607.
77. Frey, J. and Zhang, Y. (2024). "Melded confidence intervals do not provide guaranteed coverage", The American Statistician, .78: 273-279.
76. Frey, J. and Zhang, Y. (2023). "Nonparametric maximum likelihood estimation of the distribution function using ranked-set sampling", Journal of the Korean Statistical Society, 52: 901-920.
75. Peyton Jones, J., Frey, J., and Patel, V. (2023). "On the performance of unconventional knock control variants with time-dependent gains", IEEE Transactions on Control Systems Technology, 31: 2620-2631.
74. Peyton Jones, J. and Frey, J. (2021). "Performance assessment of knock control systems subject to disturbances", SAE International Journal of Engines, 14: 821-832.
73. Frey, J. and Zhang, Y. (2021). "Robust confidence intervals for a proportion using ranked-set sampling", Journal of the Korean Statististical Society, 50: 1009-1028.
72. Frey, J. (2020). "Refined asymptotic Kolmogorov-Smirnov tests for the case of finite support", Communications in Statistics - Theory and Methods, 49: 5829-5841.
71. Peyton Jones, J., Shayestehmanesh, S., and Frey, J. (2020). "Parametric modelling of knock intensity data using a dual log-normal model", International Journal of Engine Research, 21: 1026-1036.
70. Shayestehmanesh, S., Peyton Jones, J. and Frey, J. (2020). "A Bayesian knock event controller", IEEE Transactions on Control Systems Technology, 28: 1627-1637.
69. Frey, J. (2020). "Bounds on the efficiency of unbalanced ranked-set sampling", Communications in Statistics - Theory and Methods, 49: 243-256.
68. Frey, J. and Zhang, Y. (2019). "Improved exact confidence intervals for a proportion using ranked-set sampling", Journal of the Korean Statistical Society, 48: 493-501.
67. Frey, J. and Zhang, Y. (2019). "An omnibus two-sample test for ranked-set sampling data", Journal of the Korean Statistical Society, 48: 106-116.
66. Shayestehmanesh, S., Peyton Jones, J., and Frey, J. (2018). "Computing the closed-loop characteristics of a generalized multi-threshold knock controller", International Journal of Engine Research, 19: 952-962.
65. Frey, J. and Feeman, T. (2018). "Finding the maximum efficiency for multistage ranked-set sampling", Communications in Statistics - Theory and Methods, 47: 4131-4141.
64. Frey, J. and Zhang, Y. (2018). "An algorithm with applications in ranked-set sampling", Journal of Statistical Computation and Simulation, 88: 471-481.
63. Frey, J. and Zhang, Y. (2017). "What do interpolated nonparametric confidence intervals for population quantiles guarantee?", The American Statistician, 71: 305-309.
62. Frey, J. and Feeman, T. (2017). "Efficiency comparisons for partially rank-ordered set sampling", Statistical Papers, 58: 1149-1163.
61. Peyton Jones, J., Shayestehmanesh, S., and Frey, J. (2017). "A dual-threshold knock controller", International Journal of Engine Research, 18: 837-846.
60. Frey, J. and Zhang, Y. (2017). "Testing perfect rankings in ranked-set sampling with binary data", Canadian Journal of Statistics, 45: 326-339.
59. Peyton Jones, J., Frey, J., and Shayestehmanesh, S. (2017). "Stochastic simulation and performance analysis of classical knock control algorithms", IEEE Transactions on Control Systems Technology, 25: 1307-1317.
58. Peyton Jones, J., Shayestehmanesh, S., and Frey, J. (2017). "Closed loop statistical performance analysis of N-K knock controllers", Mechanical Systems and Signal Processing, 94: 253-266.
57. Abdul-Chani, C. and Frey, J. (2016). "Improving the Big East Conference basketball tournament", The American Statistician, 70: 342-349.
56. Peyton Jones, J., Spelina, J., and Frey, J. (2016). "Control-oriented knock simulation", SAE International Journal of Engines, 9: 1201-1209.
55. Frey, J. (2016). "An exact Kolmogorov-Smirnov test for whether two finite populations are the same", Statistics and Probability Letters, 116: 65-71.
54. Frey, J. (2016). "A more efficient mean estimator for judgement post-stratification", Journal of Statistical Computation and Simulation, 86: 1404-1414.
53. Feeman, T. and Frey, J. (2016). "Efficiency bounds for a generalization of ranked-set sampling", Communications in Statistics - Theory and Methods, 45: 739-756.
52. Peyton Jones, J., and Frey, J. (2015). "Threshold optimization and performance evaluation of a classical knock controller", SAE International Journal of Engines, 8: 1021-1028.
51. Spelina, J., Peyton Jones, J., and Frey, J. (2015). "Stochastic simulation and analysis of a classical knock controller", International Journal of Engine Research, 16: 461-473.
50. Frey, J. and Wang, L. (2014). "EDF-based goodness-of-fit tests for ranked-set sampling", Canadian Journal of Statistics, 42: 451-469.
49. Frey, J. (2014). "Bootstrap confidence bands for the CDF using ranked-set sampling", Journal of the Korean Statistical Society, 43: 453-461.
48. Spelina, J., Peyton Jones, J., and Frey, J. (2014). "Recent advances in knock analysis, simulation, and control", SAE International Journal of Engines, 7: 947-955.
47. Frey, J. (2014). "A note on Fisher information and imperfect ranked-set sampling", Communications in Statistics - Theory and Methods, 43: 2726-2733.
46. Frey, J. (2014). "Shorter nonparametric prediction intervals for an order statistic from a future sample", Statistics and Probability Letters, 91: 69-75.
45. Spelina, J., Peyton Jones, J., and Frey, J. (2014). "Characterization of knock intensity distributions: Part 1: Statistical independence and scalar measures", Journal of Automobile Engineering, 228: 117-128.
44. Peyton Jones, J., Spelina, J., and Frey, J. (2014). "Optimizing knock thresholds for improved knock control", International Journal of Engine Research, 15: 123-132.
43. Spelina, J., Peyton Jones, J., and Frey, J. (2013). "Characterization of knock intensity distributions: Part 2: Parametric models", Journal of Automobile Engineering, 227: 1650-1660.
42. Peyton Jones, J., Spelina, J., and Frey, J. (2013). "Likelihood-based control of engine knock", IEEE Transactions on Control Systems Technology, 21: 2169-2180.
41. Frey, J. and Feeman, T. (2013). "Variance estimation using judgment post-stratification", Annals of the Institute of Statistical Mathematics, 65: 551-569.
40. Frey, J. (2013). "Data-driven nonparametric prediction intervals", Journal of Statistical Planning and Inference, 143: 1039-1048.
39. Frey, J. and Wang, L. (2013). "Most powerful rank tests for perfect rankings", Computational Statistics and Data Analysis, 60: 157-168.
38. Frey, J. (2012). "Nonparametric mean estimation using partially ordered sets", Environmental and Ecological Statistics, 19: 309-326.
37. Frey, J. (2012). "An exact Kolmogorov-Smirnov test for the Poisson distribution with unknown mean", Journal of Statistical Computation and Simulation, 82: 1023-1033.
36. Frey, J. and Perez, A. (2012). "Exact binomial confidence intervals for randomized response", The American Statistician, 66: 8-15.
35. Trout, K., McGrath, J., Flanagan, J., Costello, M., and Frey, J. (2012). "A pilot study to increase fruit and vegetable intake in pregnant Latina women", Journal of Primary Care and Community Health, 3(1): 2-5.
34. Frey, J. (2012). "Constrained nonparametric estimation of the mean and the CDF using ranked-set sampling with a covariate", Annals of the Institute of Statistical Mathematics, 64: 439-456.
33. Frey, J. (2012). "Prediction bands for the EDF of a future sample", Journal of Statistical Planning and Inference, 142: 506-515.
32. Frey, J. and Feeman, T. (2012). "An improved mean estimator for judgment post-stratification", Computational Statistics and Data Analysis, 56: 418-426.
31. Frey, J. (2012). "Testing for positive evidence of equally likely outcomes", Journal of Multivariate Analysis, 103: 48-57.
30. Frey, J. (2011). "Recursive computation of inclusion probabilities in ranked-set sampling", Journal of Statistical Planning and Inference, 141: 3632-3639.
29. Frey, J. and Ozturk, O. (2011). "Constrained estimation using judgment post-stratification", Annals of the Institute of Statistical Mathematics, 63: 769-789.
28. Frey, J. (2011). "A note on ranked-set sampling using a covariate", Journal of Statistical Planning and Inference, 141: 809-816.
27. Frey, J. (2010). "Testing for equivalence of variances using Hartley's ratio", Canadian Journal of Statistics, 38: 647-664.
26. Frey, J. and Kaplan, E. (2010). "Queue inference from periodic reporting data", Operations Research Letters, 38: 420-426.
25. Frey, J. (2010). "Fixed-width sequential confidence intervals for a proportion", The American Statistician, 64: 242-249.
24. Peyton Jones, J., Frey, J., Muske, K., and Scholl, D. (2010). "A cumulative-summation-based stochastic knock controller", Journal of Automobile Engineering, 224: 969-983.
23. Frey, J. (2010). "Data-driven nonparametric tolerance sets", Journal of Nonparametric Statistics, 22: 169-180.
22. Frey, J. (2009). "An algorithm for computing rectangular multinomial probabilities", Journal of Statistical Computation and Simulation, 79: 1483-1489.
21. Frey, J. (2009). "Confidence bands for the CDF when sampling from a finite population", Computational Statistics and Data Analysis, 53: 4126-4132.
20. Frey, J. (2009). "Unbiased goodness-of-fit tests", Journal of Statistical Planning and Inference, 139: 3690-3697.
19. Frey, J. (2009). "An exact multinomial test for equivalence", Canadian Journal of Statistics, 37: 47-59.
18. Frey, J., Marrero, O., and Norton, D. (2009). "Minimum-area confidence sets for a normal distribution", Journal of Statistical Planning and Inference, 139: 1023-1032.
17. Frey, J. (2008). "An exact distribution-free one-sample test for equivalence", Journal of Nonparametric Statistics, 20: 739-750.
16. Muske, K., Peyton Jones, J., Kirschman, J., Frey, J., Makki, I., Uhrich, M., and Howse, J. (2008). "Probability density diagnostic metric for an integrated three-way catalyst controller and monitor", Journal of Automobile Engineering, 222: 2185-2194.
15. Frey, J. (2008). "Optimal distribution-free confidence bands for a distribution function", Journal of Statistical Planning and Inference, 138: 3086-3098.
14. Frey, J. and Marrero, O. (2008). "A surprising MLE for interval-censored binomial data", The American Statistician, 62: 135-137.
13. Frey, J. (2007). "Distribution-free statistical intervals via ranked-set sampling", Canadian Journal of Statistics, 35: 585-596.
12. Frey, J. (2007). "A note on a probability involving independent order statistics", Journal of Statistical Computation and Simulation, 77: 969-975.
11. Husby, C., Stasny, E., Wolfe, D., and Frey, J. (2007). "Cautionary note on unbalanced ranked-set sampling", Journal of Statistical Computation and Simulation, 77: 869-878.
10. Frey, J. (2007). "Bayesian inference on a proportion believed to be a simple fraction", The American Statistician, 61: 201-206.
9. Frey, J., Ozturk, O., and Deshpande, J. (2007). "Nonparametric tests for perfect judgment rankings", Journal of the American Statistical Association, 102: 708-717.
8. Frey, J. (2007). "Is an .833 hitter better than a .338 hitter?", The American Statistician, 61: 105-111.
7. Frey, J. (2007). "Intentionally representative sampling for estimating a population mean", Journal of Probability and Statistical Science, 5: 103-112.
6. Frey, J. (2007). "New imperfect rankings models for ranked set sampling", Journal of Statistical Planning and Inference, 137: 1433-1445.
5. Cressie, N., Frey, J., Harch, B., and Smith, M. (2006). "Spatial prediction on a river network", Journal of Agricultural, Biological, and Environmental Statistics, 11: 127-150.
4. Deshpande, J., Frey, J., and Ozturk, O. (2006). "Nonparametric ranked-set sampling confidence intervals for quantiles of a finite population", Environmental and Ecological Statistics, 13: 25-40.
3. Frey, J. (2005). "A ranking method based on minimizing the number of in-sample errors", The American Statistician, 59: 207-216.
2. Deshpande, J., Frey, J., and Ozturk, O. (2004). "Inference regarding the constant of proportionality in the Cox hazards model", 147-163 in de Silva, B. M. and Mukhopadhyay, N. (eds.). Proceedings of the International Sri Lankan Statistical Conference: Visions of Futuristic Methodologies, Melbourne: RMIT University.
1. Frey, J. and Cressie, N. (2003). "Some results on constrained Bayes estimators", Statistics and Probability Letters, 65: 389-399.
Book reviews, comments, and non-refereed publications:
5. Frey, J. (2019). "Comment on VanDerwerken (2019)", The American Statistician, 73: 411-412.
4. Frey, J. (2008). "Review of J. Kowalski and X. M. Tu's Modern Applied U-Statistics", Biometrics, 64: 994-995.
3. Westfall, P., Desmone, R., Frey, J., and Stefanski, L. (2007). "ASA tries out promotions strategy on two May articles", Amstat News, May 2007, 20-21.
2. Frey, J. (2005). "Advice from the 2004 Stat Bowl champion", Stats, Winter 2005, 16.
1. Frey, J. (2004). "Review of James Spall's Introduction to Stochastic Search and Optimization: Estimation, Simulation, and Control", Journal of the American Statistical Association, 99: 1204-1205.
Technical Reports:
2. Frey, J. (2007). "Optimal distribution-free confidence bands for a distribution function".
1. Frey, J. (2006). "New imperfect rankings models for ranked set sampling".
Homepages for Co-authors:
Miscellaneous: