Katherine
Davies
Assistant Professor, Mathematics and Statistics
Dr. Katherine Davies is an Assistant Professor in the Department of Mathematics and Statistics. Dr. Davies has come full circle having graduated with an Hon. B.Sc. in Mathematics and Statistics (2002) and M.Sc. in Statistics (2004) from McMaster. After McMaster, Dr. Davies attended Western University where she obtained her Ph.D. in Statistics. Immediately upon completion, Dr. Davies joined the University of Manitoba's Department of Statistics as an Assistant Professor. During the next 14 years, Dr. Davies was tenured and promoted to Associate Professor. During her time, she taught a variety of undergraduate and graduate courses and carried out statistical research. Her research program focuses on the modelling and analysis of lifetime data, which includes both censoring methodologies and distribution theory. This research has applications in engineering and medical sciences. Dr. Davies has also supervised several graduate and undergraduate students over the years. Dr. Davies continues to publish articles in high quality journals, participate in conferences and build collaborative relationships with researchers around the globe. She is an active member of the Statistical Society of Canada, for whom she has served two terms on the board of directors. She is also the founder of the initiative Steering Women into Statistics in which she gives talks to highschool students.
- Contact Information
- EMAIL: daviek5
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Research Areas
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Affiliation
Scholarly Activity
selected scholarly activity
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conferences
- Pitman Closest Estimators Based on Convex Linear Combinations of Two Contiguous Order Statistics. Springer Proceedings in Mathematics and Statistics. 17-37. 2015
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journal articles
- On the Residual Lifetimes of Dependent Components Upon System Failure. Reliability Engineering & System Safety. 248:110147-110147. 2024
- A Stochastic Version of the EM Algorithm for Mixture Cure Model with Exponentiated Weibull Family of Lifetimes. Journal of Statistical Theory and Practice. 16:48. 2022
- Progressively Type-II censored competing risks data from the linear exponential distribution. Communications in Statistics - Theory and Methods. 51:1444-1460. 2022
- Stochastic EM algorithm for generalized exponential cure rate model and an empirical study. Journal of Applied Statistics. 48:2112-2135. 2021
- Pitman closeness results for Type-I hybrid censored data from exponential distribution. Journal of Statistical Computation and Simulation. 91:58-80. 2021
- On the number of failed components in a k-out-of-n system upon system failure when the lifetimes are discretely distributed. Reliability Engineering & System Safety. 188:47-61. 2019
- Restricted optimal progressive censoring. Communications in Statistics Part B: Simulation and Computation. 47:1216-1239. 2018
- Computing moments of discrete order statistics from non-identical distributions. Journal of Computational and Applied Mathematics. 328:340-354. 2018
- Minimal–maximal correlation-type goodness-of-fit tests. Journal of Statistical Computation and Simulation. 86:2157-2164. 2016
- Exact Nonparametric Meta-Analysis of Lifetime Data From Systems With Known Signatures. IEEE Transactions on Reliability. 65:796-801. 2016
- Further Results on Order Statistics Generated by Two Simulation Methods. Communications in Statistics Part B: Simulation and Computation. 43:2732-2743. 2014
- Some Pitman closeness properties pertinent to symmetric populations. Statistics. 48:1380-1393. 2014
- Nonparametric prediction of future order statistics. Journal of Statistical Computation and Simulation. 84:683-695. 2014
- Pitman closeness results for Type-I censored data from exponential distribution. Statistics and Probability Letters. 83:2693-2698. 2013
- Two-sample Pitman closeness comparison under progressive Type-II censoring. Statistics. 47:1305-1320. 2013
- Simultaneous Pitman closeness of progressively type-II right-censored order statistics to population quantiles. Statistics. 47:439-452. 2013
- Pitman closeness results concerning ranked set sampling. Statistics and Probability Letters. 82:2260-2269. 2012
- Pitman closeness as a criterion for the determination of the optimal progressive censoring scheme. Statistical Methodology. 9:563-572. 2012
- Computation of optimal plotting points based on Pitman closeness with an application to goodness-of-fit for location-scale families. Computational Statistics and Data Analysis. 56:2637-2649. 2012
- Nonparametric estimation for a two-dimensional renewal process. Electronic Journal of Statistics. 6:1449-1476. 2012
- Pitman Closeness Comparison of Best Linear Unbiased and Invariant Predictors for Exponential Distribution in One- and Two-Sample Situations. Communications in Statistics - Theory and Methods. 41:1-15. 2012
- Pitman closeness, monotonicity and consistency of best linear unbiased and invariant estimators for exponential distribution under Type II censoring. Journal of Statistical Computation and Simulation. 81:985-999. 2011
- Correlation-Type Goodness of Fit Test for Extreme Value Distribution Based on Simultaneous Closeness. Communications in Statistics Part B: Simulation and Computation. 40:1074-1095. 2011
- A two-dimensional Markov renewal process. Environmetrics. 22:98-108. 2011
- Simultaneous closeness among order statistics to population quantiles. Journal of Statistical Planning and Inference. 140:2408-2415. 2010
- Modelling point patterns with the Ivanoff–Merzbach renewal process. Environmetrics. 21:85-101. 2010
- Some results on order statistics generated by two simulation methods. Statistics and Probability Letters. 79:1847-1857. 2009
- Pitman Closeness of Order Statistics to Population Quantiles. Communications in Statistics Part B: Simulation and Computation. 38:802-820. 2009
- Inference for two-parameter Birnbaum Saunders distribution based on multi-sample progressively Type-II censored data. Journal of Statistical Computation and Simulation.
- Methods to Simulate from Correlated Binomial Random Variables. Journal of Statistical Computation and Simulation.
- On a class of bivariate Weibull distributions and its applications in reliability. Revstat Statistical Journal.
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preprints
Teaching
teaching activities
- Applied Regression Analysis with SAS - STATS 3A03, Instructor 2024
- Applied Regression Analysis with SAS - STATS 3A03, Instructor 2024
- Introduction to Probability - STATS 2D03, Instructor 2024
- Introduction to Probability - STATS 2D03, Instructor 2024
- Generalized Linear Models - STATS 6C03, Instructor 2024
- Generalized Linear Models - STATS 4C03, Instructor 2024
- Senior Research Project - STATS 4T06B, Instructor 2024
- Statistical Methods and Applications - STATS 2MB3, Instructor 2024
- Statistical Methods and Applications - STATS 2MB3, Instructor 2024
- Applied Regression Analysis with SAS - STATS 3A03, Instructor 2023
- Applied Regression Analysis with SAS - STATS 3A03, Instructor 2023
- Introduction to Probability - STATS 2D03, Instructor 2023
- Senior Research Project - STATS 4T06A, Instructor 2023
- Generalized Linear Models - STATS 4C03, Instructor 2023
- Generalized Linear Models - STATS 6C03, Instructor 2023
- Statistical Methods and Applications - STATS 2MB3, Instructor 2023
- Applied Regression Analysis with SAS - STATS 3A03, Instructor 2022
- Applied Regression Analysis with SAS - STATS 3A03, Instructor 2022
- Mathematical Statistics - STATS 3D03, Instructor 2022
Background
education and training
- Ph.D. Statistics, University of Western Ontario 2008
- MSc Statistics, McMaster University 2004
- BSc Mathematics and Statistics, McMaster University 2002
Contact
full name
- Katherine Davies
mailing address
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McMaster University
Mathematics and Statistics
205 Hamilton Hall
Hamilton
Ontario
L8S 4K1
Canada