Staff profile

• Nonparametric predictive inference
• Nonparametric statistics
• Modeling dependence
• Diagnostic accuracy including ROC analysis
• Reliability and survival analysis
• Uncertainty quantification including imprecise probability

Chapter in book

• Zhang, Q., Uwimpuhwe, G., Vallis, D., Singh, A., Coolen-Maturi, T., & Einbeck, J. (2024). Elicitation of Priors for Intervention Effects in Educational Trial Data. In J. Einbeck, H. Maeng, E. Ogundimu, & K. Perrakis (Eds.), Developments in Statistical Modelling (28-33). Springer. https://doi.org/10.1007/978-3-031-65723-8_5
• Coolen, F. P., & Coolen‐Maturi, T. (2022). Survival Signatures for System Reliability. In Wiley StatsRef: Statistics Reference Online. Wiley. https://doi.org/10.1002/9781118445112.stat08331
• Coolen, F., & Coolen-Maturi, T. (2021). The survival signature for quantifying system reliability: an introductory overview from practical perspective. In C. van Gulijk, & E. Zaitseva (Eds.), Reliability Engineering and Computational Intelligence (23-37). Springer Verlag. https://doi.org/10.1007/978-3-030-74556-1_2
• Coolen, F., & Coolen-Maturi, T. (2015). Modelling Uncertain Aspects of System Dependability with Survival Signatures. In W. Zamojski, & J. Sugier (Eds.), Dependability Problems of Complex Information Systems (19-34). Springer Verlag. https://doi.org/10.1007/978-3-319-08964-5_2
• Coolen, F., & Coolen-Maturi, T. (2012). Generalizing the signature to systems with multiple types of components. In W. Zamojski, J. Mazurkiewicz, J. Sugier, T. Walkowiak, & J. Kacprzyk (Eds.), Complex systems and dependability (115-130). Springer Verlag. https://doi.org/10.1007/978-3-642-30662-4_8
• Coolen-Schrijner, P., Maturi, T., & Coolen, F. P. A. (2009). Nonparametric Predictive Precedence Testing for Two Groups. In Imprecision in Statistical Theory and Practice (91-105). Grace Scientific Publishing LLC

Conference Paper

• Coolen, F. P. A., & Coolen-Maturi, T. (2024, July). Survival Signature for Reliability Quantification of Large Systems and Networks. Presented at The Nineteenth International Conference on Dependability of Computer Systems DepCoS-RELCOMEX, Brunów, Poland
• Uwimpuhwe, G., Singh, A., Akhter, N., Ashraf, B., Coolen-Maturi, T., Robinson, T., Higgins, S., & Einbeck, J. (2023, July). Individual participant data meta-analysis: pooled effect of EEF funded educational trials on low baseline attaining group. Presented at International Workshop on Statistical Modelling, Dortmund
• Coolen, F., Coolen-Maturi, T., Aslett, L., & Walter, G. (2016, May). Imprecise system reliability using the survival signature. Presented at 1st International Conference on Applied Mathematics in Engineering and Reliability, Ho Chi Minh City, Vietnam

Journal Article

• Coolen-Maturi, T. (online). Combining biomarkers to improve diagnostic accuracy using the overlap coefficient. Communications in Statistics - Theory and Methods, https://doi.org/10.1080/03610926.2025.2460095
• Chang, M., Coolen, F., Coolen-Maturi, T., & Huang, X. (online). A generalized system reliability model based on survival signature and multiple competing failure processes. Journal of Computational and Applied Mathematics, 435, Article 115364. https://doi.org/10.1016/j.cam.2023.115364
• Einbeck, J., Coolen-Maturi, T., Uwimpuhwe, G., & Singh, A. (online). A Comparison of Threshold-Free Measures for Assessing the Effectiveness of Educational Interventions. The Journal of Experimental Education, https://doi.org/10.1080/00220973.2024.2405738
• Mahnashi, A. M., Coolen, F. P., & Coolen-Maturi, T. (2025). Exceedance probabilities using Nonparametric Predictive Inference. Franklin Open, 11, Article 100241. https://doi.org/10.1016/j.fraope.2025.100241
• Aldawsari, A. M. A., Coolen-Maturi, T., & Coolen, F. P. A. (2025). Parametric Predictive Bootstrap Method for the Reproducibility of Hypothesis Tests. Journal of statistical theory and practice, 19(2), Article 21. https://doi.org/10.1007/s42519-025-00438-2
• Coolen-Maturi, T., Mahnashi, A. M., & Coolen, F. P. A. (2024). Nonparametric Predictive Inference for Two Future Observations with Right-Censored Data. Mathematical Methods of Statistics, 33(4), 338-372. https://doi.org/10.3103/S1066530724700182
• Coolen, F. P. A., Coolen-Maturi, T., & Mahnashi, A. M. Y. (2024). Nonparametric Predictive Inference for Discrete Lifetime Data. Mathematics, 12(22), Article 3514. https://doi.org/10.3390/math12223514
• Moral-García, S., Coolen-Maturi, T., Coolen, F. P., & Abellán, J. (2024). A Bayesian Imprecise Classification method that weights instances using the error costs. Applied Soft Computing, 165, 112080. https://doi.org/10.1016/j.asoc.2024.112080
• Alghamdi, F. M., Coolen, F. P. A., & Coolen-Maturi, T. (2024). Reproducibility of estimates based on randomised response methods. Journal of statistical theory and practice, 18, Article 57. https://doi.org/10.1007/s42519-024-00409-z
• Rehman, S. A., Coolen-Maturi, T., Coolen, F. P., & Shabbir, J. (2024). Reproducibility of mean estimators under ranked set sampling. Franklin Open, 8, Article 100139. https://doi.org/10.1016/j.fraope.2024.100139
• Alghamdi, F. M., Coolen, F. P. A., & Coolen-Maturi, T. (2024). Reproducibility of Statistical Tests Based on Randomised Response Data. Journal of statistical theory and practice, 18(1), Article 13. https://doi.org/10.1007/s42519-024-00366-7
• Al Luhayb, A. S. M., Coolen-Maturi, T., & Coolen, F. P. A. (2024). Smoothed Bootstrap Methods for Hypothesis Testing. Journal of statistical theory and practice, 18(1), Article 16. https://doi.org/10.1007/s42519-024-00370-x
• Luhayb, A. S. M. A., Coolen, F. P., & Coolen-Maturi, T. (2024). Smoothed Bootstrap for Right-Censored Data. Communications in Statistics - Theory and Methods, 53(11), 4037-4061. https://doi.org/10.1080/03610926.2023.2171708
• Chang, M., Huang, X., Coolen, F., & Coolen-Maturi, T. (2023). New reliability model for complex systems based on stochastic processes and survival signature. European Journal of Operational Research, 309(3), 1349-1364. https://doi.org/10.1016/j.ejor.2023.02.027
• Al Luhayb, A., Coolen-Maturi, T., & Coolen, F. (2023). Smoothed bootstrap methods for bivariate data. Journal of statistical theory and practice, 17(3), Article 37. https://doi.org/10.1007/s42519-023-00334-7
• Coolen-Maturi, T., & Coolen, F. (2023). A monotonicity property of weighted log-rank tests. Communications in Statistics - Theory and Methods, 52(7), 2402-2416. https://doi.org/10.1080/03610926.2021.1952270
• Coolen, F. P., Coolen‐Maturi, T., & van Houtum, G. (2023). Discussion of signature‐based models of preventive maintenance. Applied Stochastic Models in Business and Industry, 39(1), 68-70. https://doi.org/10.1002/asmb.2716
• Moral-Garcia, S., Abellan, J., Coolen-Maturi, T., & Coolen, F. (2022). A Cost-Sensitive Imprecise Credal Decision Tree based on Nonparametric Predictive Inference. Applied Soft Computing, 123, Article 108916. https://doi.org/10.1016/j.asoc.2022.108916
• He, T., Coolen, F., & Coolen-Maturi, T. (2022). Pricing exotic options in the incomplete market: an imprecise probability method. Applied Stochastic Models in Business and Industry, 38(3), 422-440. https://doi.org/10.1002/asmb.2668
• Simkus, A., Coolen, F., Coolen-Maturi, T., Karp, N., & Bendtsen, C. (2022). Statistical reproducibility for pairwise t-tests in pharmaceutical research. Statistical Methods in Medical Research, 31(4), 673-688. https://doi.org/10.1177/09622802211041765
• Coolen-Maturi, T. (2022). The ordering of future observations from multiple groups. Communications in Statistics - Simulation and Computation, 51(12), 7526-7543. https://doi.org/10.1080/03610918.2020.1839768
• Chang, M., Huang, X., Coolen, F., & Coolen-Maturi, T. (2021). Reliability analysis for systems based on degradation rates and hard failure thresholds changing with degradation levels. Reliability Engineering & System Safety, 216, Article 108007. https://doi.org/10.1016/j.ress.2021.108007
• Coolen, F., Ahmadini, A., & Coolen-Maturi, T. (2021). Imprecise inference based on the log-rank test for accelerated life testing. Metrika, 84, 913-925. https://doi.org/10.1007/s00184-021-00807-4
• Coolen-Maturi, T., Coolen, F. P., & Balakrishnan, N. (2021). The joint survival signature of coherent systems with shared components. Reliability Engineering & System Safety, 207, Article 107350. https://doi.org/10.1016/j.ress.2020.107350
• Alabdulhadi, M., Coolen-Maturi, T., & Coolen, F. (2021). Nonparametric predictive inference for comparison of two diagnostic tests. Communications in Statistics - Theory and Methods, 50(19), 4470-4486. https://doi.org/10.1080/03610926.2020.1719157
• He, T., Coolen, F., & Coolen-Maturi, T. (2021). Nonparametric Predictive Inference for American Option Pricing based on the Binomial Tree Model. Communications in Statistics - Theory and Methods, 50(20), 4657-4684. https://doi.org/10.1080/03610926.2020.1764040
• Huang, X., Coolen, F., Coolen-Maturi, T., & Zhang, Y. (2020). A new study on reliability importance analysis of phased mission systems. IEEE Transactions on Reliability, 69(2), 522-532. https://doi.org/10.1109/tr.2019.2923695
• Coolen-Maturi, T., Coolen, F., & Alabdulhadi, M. (2020). Nonparametric predictive inference for diagnostic test thresholds. Communications in Statistics - Theory and Methods, 49(3), 697-725. https://doi.org/10.1080/03610926.2018.1549249
• Coolen-Maturi, T., & Coolen, F. (2019). Non‐parametric predictive inference for the validation of credit rating systems. Journal of the Royal Statistical Society: Series A, 182(4), 1189-1204. https://doi.org/10.1111/rssa.12416
• Alabdulhadi, M., Coolen, F., & Coolen-Maturi, T. (2019). Nonparametric predictive comparison of two diagnostic tests based on total numbers of correctly diagnosed individuals. Journal of statistical theory and practice, 13, Article 38. https://doi.org/10.1007/s42519-019-0039-6
• Tee, K. F., Pesinis, K., & Coolen-Maturi, T. (2019). Competing risks survival analysis of ruptured gas pipelines: A nonparametric predictive approach. International Journal of Pressure Vessels and Piping, 175, Article 103919. https://doi.org/10.1016/j.ijpvp.2019.06.001
• He, T., Coolen, F., & Coolen-Maturi, T. (2019). Nonparametric Predictive Inference for European Option Pricing based on the Binomial Tree Model. Journal of the Operational Research Society, 70(10), 1692-1708. https://doi.org/10.1080/01605682.2018.1495997
• Huang, X., Coolen, F., & Coolen-Maturi, T. (2019). A heuristic survival signature based approach for reliability-redundancy allocation. Reliability Engineering & System Safety, 185, 511-517. https://doi.org/10.1016/j.ress.2019.02.010
• Marques, F., Coolen, F., & Coolen-Maturi, T. (2019). Introducing nonparametric predictive inference methods for reproducibility of likelihood ratio tests. Journal of statistical theory and practice, 13, Article 15. https://doi.org/10.1007/s42519-018-0020-9
• Marques, F., Coolen, F., & Coolen-Maturi, T. (2019). Approximations for the likelihood ratio statistic for hypothesis testing between two Beta distributions. Journal of statistical theory and practice, 13, Article 17. https://doi.org/10.1007/s42519-018-0021-8
• Chen, J., Coolen, F., & Coolen-Maturi, T. (2019). On nonparametric predictive inference for asset and European option trading in the binomial tree model. Journal of the Operational Research Society, 70(10), 1678-1691. https://doi.org/10.1080/01605682.2019.1643682
• Muhammad, N., Coolen-Maturi, T., & Coolen, F. (2018). Nonparametric predictive inference with parametric copulas for combining bivariate diagnostic tests. Statistics, optimization & information computing, 6(3), 398-408. https://doi.org/10.19139/soic.v6i3.579
• Coolen, F., Coolen-Maturi, T., & Alqifari, H. (2018). Nonparametric predictive inference for future order statistics. Communications in Statistics - Theory and Methods, 47(10), 2527-2548. https://doi.org/10.1080/03610926.2017.1342834
• Eryilmaz, S., Coolen, F., & Coolen-Maturi, T. (2018). Marginal and joint reliability importance based on survival signature. Reliability Engineering & System Safety, 172, 118-128. https://doi.org/10.1016/j.ress.2017.12.002
• Eryilmaz, S., Coolen, F., & Coolen-Maturi, T. (2018). Mean residual life of coherent systems consisting of multiple types of dependent components. Naval Research Logistics, 65(1), 86-97. https://doi.org/10.1002/nav.21782
• Yin, Y.-C., Coolen, F., & Coolen-Maturi, T. (2017). An imprecise statistical method for accelerated life testing using the power-Weibull model. Reliability Engineering & System Safety, 167, 158-167. https://doi.org/10.1016/j.ress.2017.05.045
• Baker, R., Coolen-Maturi, T., & Coolen, F. (2017). Nonparametric predictive inference for stock returns. Journal of Applied Statistics, 44(8), 1333-1349. https://doi.org/10.1080/02664763.2016.1204429
• Coolen-Maturi, T. (2017). Predictive inference for best linear combination of biomarkers subject to limits of detection. Statistics in Medicine, 36(18), 2844-2874. https://doi.org/10.1002/sim.7317
• Patelli, E., Feng, G., Coolen, F., & Coolen-Maturi, T. (2017). Simulation Methods for System Reliability Using the Survival Signature. Reliability Engineering & System Safety, 167, 327-337. https://doi.org/10.1016/j.ress.2017.06.018
• Coolen, F., & Coolen-Maturi, T. (2016). On the structure function and survival signature for system reliability. Safety and Reliability, 36(2), 77-87. https://doi.org/10.1080/09617353.2016.1219936
• Coolen, F., & Coolen-Maturi, T. (2016). The structure function for system reliability as predictive (imprecise) probability. Reliability Engineering & System Safety, 154, 180-187. https://doi.org/10.1016/j.ress.2016.06.008
• Coolen-Maturi, T. (2016). Three-group ROC predictive analysis for ordinal outcomes. Communications in Statistics - Theory and Methods, 46(19), 9476--9493. https://doi.org/10.1080/03610926.2016.1212074
• Coolen-Maturi, T. (2016). New weighted rank correlation coefficients sensitive to agreement on top and bottom rankings. Journal of Applied Statistics, 43(12), 2261-2279. https://doi.org/10.1080/02664763.2016.1140726
• Coolen-Maturi, T., Coolen, F., & Muhammad, N. (2016). Predictive inference for bivariate data: Combining nonparametric predictive inference for marginals with an estimated copula. Journal of statistical theory and practice, 10(3), 515-538. https://doi.org/10.1080/15598608.2016.1184112
• Coolen-Maturi, T., & Coolen, F. (2015). Nonparametric Predictive Inference with Combined Data Under Different Right-Censoring Schemes. Journal of statistical theory and practice, 9(2), 288-304. https://doi.org/10.1080/15598608.2014.886313
• Tee, F., Khan, L., & Coolen-Maturi, T. (2015). Application of receiver operating characteristic curve for pipeline reliability analysis. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 229(3), 181-192. https://doi.org/10.1177/1748006x15571115
• Coolen, F., & Coolen-Maturi, T. (2015). Predictive inference for system reliability after common-cause component failures. Reliability Engineering & System Safety, 135, 27-33. https://doi.org/10.1016/j.ress.2014.11.005
• Coolen-Maturi, T. (2014). Nonparametric predictive pairwise comparison with competing risks. Reliability Engineering & System Safety, 132, 146-153. https://doi.org/10.1016/j.ress.2014.07.014
• Coolen, F., Coolen-Maturi, T., & Al-nefaiee, A. (2014). Nonparametric predictive inference for system reliability using the survival signature. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 228(5), 437-448. https://doi.org/10.1177/1748006x14526390
• Coolen-Maturi, T., Elkhafifi, F., & Coolen, F. (2014). Three-group ROC analysis: a nonparametric predictive approach. Computational Statistics & Data Analysis, 78, 69-81. https://doi.org/10.1016/j.csda.2014.04.005
• Coolen-Maturi, T. (2014). A New Weighted Rank Coefficient of Concordance. Journal of Applied Statistics, 41(8), 1721-1745. https://doi.org/10.1080/02664763.2014.889664
• Coolen-Maturi, T., & Coolen, F. (2014). Nonparametric predictive inference for combined competing risks data. Reliability Engineering & System Safety, 126, 87-97. https://doi.org/10.1016/j.ress.2014.01.007
• Coolen, F., Coolen-Schrijner, P., & Coolen-Maturi, T. (2013). Nonparametric Predictive Inference for Ordinal Data. Communications in Statistics - Theory and Methods, 42(19), 3478-3496. https://doi.org/10.1080/03610926.2011.632104
• Coolen-Maturi, T. (2013). Islamic Insurance (Takaful): Demand and Supply in the UK. International Journal of Islamic and Middle Eastern Finance and Management, 6(2), 87-104. https://doi.org/10.1108/17538391311329806
• Coolen-Maturi, T., Coolen-Schrijner, P., & Coolen, F. (2012). Nonparametric predictive inference for binary diagnostic tests. Journal of statistical theory and practice, 6(4), 665-680. https://doi.org/10.1080/15598608.2012.719800
• Coolen-Maturi, T., Coolen-Schrijner, P., & Coolen, F. (2012). Nonparametric predictive multiple comparisons of lifetime data. Communications in Statistics - Theory and Methods, 41(22), 4164-4181. https://doi.org/10.1080/03610926.2011.569863
• Coolen-Maturi, T., Coolen-Schrijner, P., & Coolen, F. (2012). Nonparametric predictive inference for diagnostic accuracy. Journal of Statistical Planning and Inference, 142(5), 1141-1150. https://doi.org/10.1016/j.jspi.2011.11.015
• Coolen-Maturi, T., & Coolen, F. (2011). Unobserved, re-defined, unknown or removed failure modes in competing risks. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 225(4), 461-474. https://doi.org/10.1177/1748006x11401706
• Coolen-Maturi, T., Coolen-Schrijner, P., & Coolen, F. (2011). Nonparametric predictive selection with early experiment termination. Journal of Statistical Planning and Inference, 141(4), 1403-1421. https://doi.org/10.1016/j.jspi.2010.10.018
• Maturi, T. A., & Elsayigh, A. (2010). A Comparison of Correlation Coefficients via a Three-Step Bootstrap Approach. Journal of Mathematics Research, 2(2), 3-10. https://doi.org/10.5539/jmr.v2n2p3
• Maturi, T. A., Coolen-Schrijner, P., & Coolen, F. P. A. (2010). Nonparametric predictive comparison of lifetime data under progressive censoring. Journal of Statistical Planning and Inference, 140(2), 515-525. https://doi.org/10.1016/j.jspi.2009.07.027
• Maturi, T., Coolen-Schrijner, P., & Coolen, F. (2010). Nonparametric predictive inference for competing risks. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 224(1), 11-26. https://doi.org/10.1243/1748006xjrr263
• Maturi, T., & Elsayigh, A. (2009). The Correlation between Variate-Values and Ranks in Samples from Complete Fourth Power Exponential Distribution. Journal of Mathematics Research, 1(1), 14-18. https://doi.org/10.5539/jmr.v1n1p14
• Maturi, T. A., Coolen-Schrijner, P., & Coolen, F. P. A. (2009). Nonparametric predictive pairwise comparison for real-valued data with terminated tails. International Journal of Approximate Reasoning: Uncertainty in Intelligent Systems, 51(1), 141-150. https://doi.org/10.1016/j.ijar.2009.09.005
• Maturi, T. A., & Abdelfattah, E. (2008). A New Weighted Rank Correlation. Journal of mathematics and statistics, 4(4), 226-230. https://doi.org/10.3844/jmssp.2008.226.230

Other (Print)

• Maturi, T. (2010). Nonparametric Predictive Inference for Multiple Comparisons

Report

• Singh, A., Uwimpuhwe, G., Vallis, D., Akhter, N., Coolen-Maturi, T., Einbeck, J., Higgins, S., Culliney, M., & Demack, S. (2023). Improving power calculations in educational trials. Education Endowment Foundation
• Ashraf, B., Singh, A., Uwimpuhwe, G., Coolen-Maturi, T., Einbeck, J., Higgins, S., & Kasim, A. (2021). Individual-participant-data-meta-analysis-of-the-impact-of-EEF-trials-on-the-educational-attainment-of-pupils-on-Free-School-Meals. EEF