Staff Profile

Prof Frank Coolen

Personal web page

Contact Prof Frank Coolen (email at frank.coolen@durham.ac.uk)

Research Groups

Department of Mathematical Sciences

• Statistics
• Statistics and Probability Group

Research Interests

• Statistics; decision support

Publications

Journal papers: academic

• Wu, S. & Coolen, F.P.A. (2013). A cost-based importance measure for system components: An extension of the Birnbaum importance. European Journal of Operational Research 225(1): 189-195.
• Aboalkhair, A.M., Coolen, F.P.A. & MacPhee, I.M. (2013). Nonparametric predictive reliability of series of voting systems. European Journal of Operational Research 226(1): 77-84.
• Elsaeiti, M.A. & Coolen, F.P.A. (2012). A nonparametric predictive approach to sequential acceptance problems. Journal of Statistical Theory and Practice 6(3): 383-401.
• Elkhafifi, F.F. & Coolen, F.P.A. (2012). Nonparametric predictive inference for accuracy of ordinal diagnostic tests. Journal of Statistical Theory and Practice 6(4): 681-697.
• Coolen-Maturi, T., Coolen-Schrijner, P. & Coolen, F.P.A. (2012). Nonparametric predictive inference for binary diagnostic tests. Journal of Statistical Theory and Practice 6(4): 665-680.
• Coolen-Maturi, T., Coolen-Schrijner, P. & Coolen, F.P.A. (2012). Nonparametric predictive inference for diagnostic accuracy. Journal of Statistical Planning and Inference 142(5): 1141-1150.
• Coolen, F.P.A. & Al-nefaiee, A.H. (2012). Nonparametric predictive inference for failure times of systems with exchangeable components. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 226(3): 262-273.
• Coolen-Maturi, T., Coolen-Schrijner, P. & Coolen, F.P.A. (2012). Nonparametric predictive multiple comparisons of lifetime data. Communications in Statistics - Theory and Methods 41(22): 4164-4181.
• Houlding, B. & Coolen, F.P.A. (2012). Nonparametric predictive utility inference. European Journal of Operational Research 221(1): 222-230.
• Houlding, B & Coolen, FPA (2011). Adaptive utility and trial aversion. Journal of Statistical Planning and Inference 141(2): 734-747.
• Coolen, F.P.A., Houlding, B. & Parkinson, S.G. (2011). Considerations on jury size and composition using lower probabilities. Journal of Statistical Planning and Inference 141(1): 382-391.
• Abellán, J, Baker, RM & Coolen, FPA (2011). Maximising entropy on the nonparametric predictive inference model for multinomial data. European Journal of Operational Research 212(1): 112-122.
• Coolen-Maturi, T, Coolen-Schrijner, P, & Coolen, F.P.A. (2011). Nonparametric predictive selection with early experiment termination. Journal of Statistical Planning and Inference 141(4): 1403-1421.
• Crossman, R.J., Coolen-Schrijner, P. & Coolen, F.P.A. (2011). The shape of the hazard rate for finite continuous-time birth–death processes. Statistics & Probability Letters 81(2): 181-187.
• Coolen-Maturi, T. & Coolen, F.P.A. (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.
• Venkat, D., Coolen, F.P.A. & Coolen-Schrijner, P. (2010). Extended opportunity-based age replacement with a one-cycle criterion. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 224(1): 55-62.
• Augustin, Thomas, Coolen, Frank P. A., Moral, Serafín & Troffaes, Matthias C. M. (2010). Imprecise probability in statistical inference and decision making. International Journal of Approximate Reasoning 51(9): 1011-1013.
• Utkin, L.V., Zatenko, S.I. & Coolen, F.P.A. (2010). New interval Bayesian models for software reliability based on non-homogeneous Poisson processes. Automation and Remote Control 71(5): 935-944.
• Baker, R.M. & Coolen, F.P.A. (2010). Nonparametric predictive category selection for multinomial data. Journal of Statistical Theory and Practice 4(3): 509-526.
• Maturi, TA, Coolen-Schrijner, P & Coolen, FPA (2010). Nonparametric predictive comparison of lifetime data under progressive censoring. Journal of Statistical Planning and Inference 140(2): 515–525.
• Maturi, T.A., Coolen-Schrijner, P. & Coolen, F.P.A. (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.
• Roelofs, V.J., Coolen, F.P.A. & Hart, A.D.M. (2010). Nonparametric predictive inference for exposure assessment. Risk Analysis 31(2): 218-227.
• Coolen, F.P.A., Spinato, F. & Venkat, D. (2010). On modelling of grouped reliability data for wind turbines. IMA Journal of Management Mathematics 21(4): 363-372.
• Coolen, F.P.A. & Augustin, T. (2009). A nonparametric predictive alternative to the Imprecise Dirichlet Model: the case of a known number of categories. International Journal of Approximate Reasoning 50: 217-230.
• Troffaes, Matthias & Coolen, Frank (2009). Applying the imprecise Dirichlet model in cases with partial observations and dependencies in failure data. International Journal of Approximate Reasoning 50(2): 257-268.
• Montgomery, V.J., Coolen, F.P.A. & Hart, A.D.M. (2009). Bayesian probability boxes in risk assessment. Journal of Statistical Theory and Practice 3(1): 69-83.
• Coolen-Schrijner, Pauline, Coolen, Frank P. A., Troffaes, Matthias C. M. & Augustin, Thomas (2009). Imprecision in Statistical Theory and Practice. Journal of Statistical Theory and Practice 3(1): 1-9.
• Coolen, F.P.A. & Elsaeiti, M.A. (2009). Nonparametric predictive methods for acceptance sampling. Journal of Statistical Theory and Practice 3(4): 907-921.
• 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 51(1): 141-150.
• Coolen-Schrijner, P., Maturi, T.A. & Coolen, F.P.A. (2009). Nonparametric predictive precedence testing for two groups. Journal of Statistical Theory and Practice 3(1): 273-287.
• MacPhee, I.M., Coolen, F.P.A. & Aboalkhair, A.M. (2009). Nonparametric predictive system reliability with redundancy allocation following component testing. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 223(3): 181-188.
• Coolen-Schrijner, P., Shaw, S.C. & Coolen, F.P.A. (2009). Opportunity-based age replacement with a one-cycle criterion. Journal of the Operational Research Society 60(10): 14281438.
• Crossman, R.J., Coolen-Schrijner, P. & Coolen, F.P.A. (2009). Time-homogeneous birth-death processes with probability intervals and absorbing state. Journal of Statistical Theory and Practice 3(1): 103-118.
• Coolen-Schrijner, P., Coolen, F.P.A. & MacPhee, I.M. (2008). Nonparametric predictive inference for system reliability with redundancy allocation. Proceedings of the Institution of Mechanical Engineers - Part O: Journal of Risk and Reliability 222(4): 463-476.
• Arts, G.R.J. & Coolen, F.P.A. (2008). Two nonparametric predictive control charts. Journal of Statistical Theory and Practice 2(4): 499-512.
• Coolen, F.P.A. (2007). Nonparametric prediction of unobserved failure modes. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 221(3): 207-216.
• Coolen, F.P.A., Coolen-Schrijner, P. & Rahrouh, M. (2006). Bayesian reliability demonstration with multiple independent tasks. IMA Journal of Management Mathematics 17(2): 131-142.
• Coolen, F.P.A. (2006). On Nonparametric Predictive Inference and Objective Bayesianism. Journal of Logic, Language and Information 15(1-2): 21-47.
• Coolen, F. P. A., Coolen-Schrijner, P. & Rahrouh, R. (2005). Bayesian reliability demonstration for failure-free periods. Reliability Engineering & System Safety 88(1): 81-91.
• Coolen, F.P.A. & Coolen-Schrijner, P. (2005). Nonparametric predictive reliability demonstration for failure-free periods. IMA Journal of Management Mathematics 16(1): 1-11.
• Coolen, F., Coolen-Schrijner, P. & Shaw, S. (2004). Adaptive (opportunity-based) age replacement strategies.
• Wooff, D. A., Goldstein, M. & Coolen, F. P. A. (2002). Bayesian Graphical Models for Software Testing. IEEE Transactions on Software Engineering 28(5): 510-525.
• Coolen, F.P.A., Coolen-Schrijner, P. & Yan, K.J. (2002). Nonparametric predictive inference in reliability.
• Coolen F & P. Coolen-Schrijner (2000). Condition monitoring: a new perspective. Journal of the Operational Research Society 51 311-319
• Coolen, F.P.A. & Coolen-Schrijner, P. (2000). Condition monitoring: a new perspective.
• Coolen F (1998). Low structure imprecise predictive inference for Bayes' problem. Statistics and Probability Letters 36 349-357
• Coolen F (1997). An imprecise Dirichlet model for Bayesian analysis of failure data including right-censored observations. Reliability Engineering and System Safety 56 61-68

Supervises

• Mr Willem Roelofs
• Mr Abdullah Al-Nefaiee
• Mrs Zakiah Kalantan
• Miss Sulafah Binhimd
• Mr Lewis Paton
• Miss Doudou Tang
• Ms Noryanti Muhammad