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Current Position: Home» Faculty» Faculty Profiles» Department of Management Science and Logistics»

Lirong Cui

Lirong Cui


Personal Data
Name:Lirong Cui
Gender:Male
Birth Date:Dec., 1960
Nationality:Han
Acadamic Position:Professor
Degree:PhD
Phone:China+ Beijing+68940780(O)
e-Mail:Lirongcui@bit.edu.cn
Address:School of Management & Economics , Beijing Institute of Technology , Beijing, P. R. China (Zip:100081)

Education(Starting from undergraduate , including Advanced studies At home and abroad and Short-term training )
1992-1994 : Ph.D.(Probability & Statistics, July 1994) from School of Business and Economics, University of Wales, Swansea, UK.
1983-1986 : M.SC. (Operations Research & Control Theory, April 1986) from Institute of System Sciences, Chinese Academy of Sciences, P. R. China.
1979-1983 : B.Eng.(Textile Engineering, July 1983) from Tianjin Polytechnic University, P.R. China.

Work experience(Including overseas work, business work experience)
1986-1999: Assistant Engineer , Engineer , Senior Engineer , Dean of Research Group, Chief Engineer , China Aerospace Industry Corporation.
1991-1992: Visiting Scholar , University of Wales, Swansea.
1998-1998: Visiting Scholar , National Chiao Tung University in Taiwan.
1999-2000: Vice Chief Engineer , Beijing C & W Electronics Group .
2000-2002: Research Fellow, Depart. of Industrial Engineering, National University of Singapore.
2003-Now, Professor of School of Management & Economics, Beijing Institute of Technology.

Professional Affiliations(note organization, year served and position)
1996-1999: Reliability Aerospace Standardization Technical Committee: committee member , Vice chief committee .
1996-1999: Quality and reliability of the China Aerospace Expert Group, Member .
1997-2000: National standardization of statistical methods Committee, Committee member .
1997-2000: National standardization of statistical methods Committee Reliability Branch , chief committee .
2005-: IEEE Transactions on Reliability , Associate editor (the only one in China currently) .
2010-: Communications in Statistics---Theory and Methods, Simulation and Computation , Associate editor.
2013-:Quality Technology and Quantative Management, Associate editor.
2005-2009: Operational Research Society fo China Reliability Branch, Chief committee .
2009-: Operational Research Society fo china Reliability Branch, Vice chief committee.
2009-: China Applied Statistics Association, Member.
2009-: 《Applied Statistics and Management》, associate editor.
2005-: University of Science and Technology of Inner Mongolia , Visiting Professor .
2006-: Systems Engineering Society of Beijing, Member.
2010-: China Association for Standardization Reliability Branch, committee member.
2010-: China Association for Quality Academic Education Committee of the Sixth , committee member .
8. Chairman & Member: Industrial Enginnering Committee of Chinese Society Optimization, Overall Planning and Economical Mathematics.
9. Adjunct Professor, Northwestern Polytechnical University, Xi’an 710072, China

Publications-Papers,Book Chapters, Journal Articles, Conference Articles
Papers:

[0] Lirong Cui, Quan Zhang and Dejing Kong, Some New Concepts and Their Computational Formulae in Aggregated Stochastic Processes with Classifications Based on Sojourn Times, Methodology and Computing in Applied Probability, 2015, (DOI 10.1007/s11009-015-9456-5)
[1] Dejing Kong, Lirong Cui, Bayesian inference of multi-stage reliability for degradation systems with calibrations, Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 2015, DOI:10.1177/1748006X15580752. (online)
[2] Shen Jingyuan, Lirong Cui and Shijia Du, Birnbaum importance for linear consecutive-k-out-of-n systems with sparse d, IEEE Transactions on Reliability, vol. 64, no. 1, pp. 359-375, 2015.
[3] Lirong Cui, Cong Lin and Shijia Du, m-consecutive-k, l-out-of-n system, IEEE Transactions on Reliability, vol. 64, no. 1, pp. 386-393, 2015.
[4] Dui Hongyan, Si Shubi, Cui Lirong, Cai Zhiqiang, Sun Shudong, Component importance for multi-state system lifetimes with renewal functions, IEEE Transactions on Reliability, vol. 63, no. 1, pp. 105-117, 2014.
[5] Lirong Cui, Shijia Du and Aofu Zhang, Reliability measures for two-part partition of states for aggregated Markov repairable systems, Annals of Operations Research, vol. 212, issue 1, pp 93-114, 2014.
[6] Baoliang Liu, Lirong Cui and Yanqing Wen, Interval reliability for aggregated Markov repairable system with repair time omission, Annals of Operations Research, vol. 212, no. 1, pp.169-183, 2014.
[7] Shijia Du, Cong Lin and Lirong Cui, Reliabilities of a single-unit system with multi-phased missions, Communications in Statistics – Theory and Methods, 2014, DOI: 10.1080/03610926.2014.882953.
[8] Baoliang Liu, Lirong Cui, Yanqing Wen and Jingyuan Shen, A performance measure for Markov system with stochastic supply patterns and stochastic demand patterns, Reliability Engineering & System Safety, vol. 119, no. pp300-307, 2013.
[9] Lirong Cui , Shijia Du and Baoliang Liu, Multi-point and multi-interval availabilities, IEEE Transactions on Reliability, vol. 62, no. 4, pp.811-820, 2013.
[10] Shijia Du, Lirong Cui, Haijun Li and Xibin Zhao, A study on joint availability for k out of n and consecutive k out of n points and intervals, Quality Technology and Quantitative Management, vol. 10, no. 2, pp. 179-191, 2013.
[11] Fangyu Liu, Lirong Cui, A design of attributes single sampling plans for three-class products, Quality Technology and Quantitative Management, vol. 10, no.4, pp. 367-387, 2013.
[12] Liying Wang, Lirong Cui, Performance evaluation of aggregated Markov repairable systems with multi-operating levels, Asia-Pacific Journal of Operational Research, vol. 30, no.4, pp. 1-27, 2013.
[13] Wang J B, Wang J Y, Chen M, Zhao X B, Si S B; Cui L R, Cao L L, Xu R H, Reliability analysis for a data flow in event-driven wireless sensor networks using a multiple sending transmission approach, Eurasip Journal on wireless communications and networking, no. 277, Publication: DEC. 5, 2013.
[14] Xiaofang Dong, Lirong Cui and Fangyu Liu, A further study on reliable life estimation under ranked set sampling, Communications In Statistics-Theory and Methods, vol. 41, no.21, pp. 3888-3902, 2012.
[15] Xinzhuo Bao, Lirong Cui, A Study on Reliability for a two-item cold standby Markov repairable system with neglected failures, Communications in Statistics-Theory and Methods, vol. 41 no.21, pp. 3988-3999, 2012.
[16] Xujie Jia, Lirong Cui, Reliability research of k-out-of-n: G supply chain system based on Copula, Communications in Statistics-Theory and Methods, vol. 41, no.21, pp. 4023-4033, 2012.
[17] Lirong Cui, Shijia Du and Alan G. Hawkes, A study on a single-unit repairable system with state aggregations, IIE Transactions, vol. 44, no.11, pp. 1022-1032, 2012.
[18] Wang Liying, Cui Lirong and Yu Mingli, Markov repairable systems with stochastic regimes switching, Journal of Systems Engineering and Electronics, vol. 22, no. 5, pp. 773-779, 2011.
[19] Alan G. Hawkes, Lirong Cui and Zhihua Zheng, Modeling the evolution of system reliability performance under alternative environments, IIE Transactions. vol. 43, no. 11, pp. 761-772, 2011.
[20] Liying Wang, Lirong Cui, Aggregated semi-Markov repairable systems with history-dependent up and down states. Mathematical and Computer Modelling, vol. 53, no.6, pp. 883-895, 2011.
[21] Xujie Jia, Lirong Cui, Optimization of joint maintenance strategy for safety-critical systems with different reliability degrees, Expert Systems, vol. 28, no. 3, pp. 199-208, 2011.
[22] Zhao Xian; Cui Lirong, Zhao Wei, Exact reliability of a linear connected-(r, s)-out-of-(m, n): F system, IEEE Transactions on Reliability, vol. 60, no. 3, pp. 689-698, 2010.
[23] Xian Zhao, Lirong Cui, Reliability evaluation of generalised multi-state k-out-of-n systems based on FMCI approach, International Journal of Systems Science, vol. 41, no. 12, pp. 1437–1443, 2010.
[24] Mingli Yu, Lirong Cui, A study of optimal availability for a two-stage directed network of Markov repairable systems, Proceedings of the 4th Asia-Pacific International Symposium (APARM), Wellington, New Zealand, pp.796-803, 2010.
[25] Lirong Cui, Yu Xu and Xian Zhao, Developments and applications of the finite Markov chain imbedding approach in reliability, IEEE Transactions on Reliability, vol. 59, no. 4, pp. 685-690, 2010.
[26] Xinzhuo Bao, Lirong Cui, An analysis of availability for series Markov repairable system with neglected or delayed failures, IEEE Transactions on Reliability, vol. 59, no 4, pp. 734-743, 2010.
[27] Jia XJ, Cui LR, Yan JQ, A study on the reliability of consecutive k-out-of-n: G systems based on Copula, Communications in Statistics-Theory and Methods, vol. 39, no. 13, pp. 2455-2472, 2010.
[28] Xiaofang Dong, LirongCui, Optimal sign test for quantiles in ranked set samples, Journal of Statistical Planning and Inference, vol.140, pp. 2943–2951, 2010.
[29] Lirong Cui, Xian Zhao, Jianbo Shen and Yu Xu, An availability model for storage products under periodical inspections, International Journal of Reliability, Quality and Safety Engineering, vol. 17, no. 2, pp. 89–103, 2010.
[30] Zhao Xian, Cui Lirong, On the accelerated scan finite Markov chain imbedding approach, IEEE Transactions on Reliability, vol. 58, no. 2, pp. 383-388, 2009.
[31] Xujie Jia, Lirong Cui, The optimization of maintenance strategy for repair systems with different safe and reliability degrees, The 2008 international conference on Risk Management and Engineering Management, Beijing, China November 4-6, pp. 105–108, 2008.
[32] Wentao Liu, Lirong Cui, The effect of a free repair warranty on the age replacement strategy for a repairable product, International Conference on Risk and Reliability Management, Beijing, Nov, pp. 628-631, 2008.
[33] Pu Wang, Lirong Cui, The risk assessment for supply chain based on ANP, International Conference on Risk and Reliability Management, Beijing, Nov, pp. 437-440, 2008.
[34] Yanlan Guo, Lirong Cui, Optimal Burn-In time and preventive repair time to maximizing availability under age maintenance policy, International Conference on Risk and Reliability Management, Beijing, Nov, pp. 763-765, 2008.
[35] Zhihua Zheng, Lirong Cui, Haijun Li, Availability of semi-Markov repairable systems with history-dependent up and down states, Proceedings of the 3rd Asian International Workshop, Taipei, Taiwan, Oct, pp. 186–193, 2008.
[36] Xian Zhao, Lirong Cui, Two-side finite Markov chain imbedding approach and its applications on system reliability, Proceedings of the 3rd Asian International Workshop, Taipei, Taiwan, Oct, pp. 297–304, 2008.
[37] Xujie Jia, Lirong Cui, Safety and reliability of 2-component series system with Geometric process repairs, International Conference on Risk and Reliability Management, Beijing, Nov, pp. 778-781, 2008.
[38] Zhiwen Bao, Lirong Cui, Xujie Jia, A study on the optimal inspection strategies of systems subject to tree precedence constraints, Proceedings of the 3rd Asian International Workshop, Taipei, Taiwan, Oct, pp. 281–288, 2008.
[39] Gao Song, Cui Lirong, Xujie Jia, A study on some system safety with Geometric Process repairs, 2008 IEEE International Conference on Service Operations and Logistics, and Informatics, Oct, pp. 1731-1735, 2008.
[40] Z.W. Bao, H.Y. Li, L.R. Cui, A study on optimal inspection strategies of reliability systems with parallel-chain precedence constraints under failure states, Advanced Materials Research, vol. 44-46, pp. 787–794, 2008.
[41] Lirong Cui, Alan G. Hawkes, A note on the proof for the optimal consecutive-k-out-of-n: G line for n<=2k, Journal of Statistical Planning and Inference, vol.138, no.11, pp. 1516-1520, 2008.
[42] Zhihua Zheng, Lirong Cui and Song Gao, A study on a single-unit Markov repairable system with omitted failures, European Safety and Reliability Conference - ESREL 2007, Norway, pp. 1893-1897, June. 25-27, 2007.
[43] Lirong Cui, Haijun Li, Markov repairable systems with history-dependent up and down states, Stochastic Models, vol. 23, pp. 665-681, 2007.
[44] Xian Zhao, Lirong Cui, Way Kuo, Reliability for sparsely connected consecutive- systems, IEEE Transactions on Reliability, vol. 56, no.3, pp. 516-524, 2007.
[45] Xueli Gao, Lirong Cui, Jinlin Li, Analysis for joint importance of components in coherent system, European Journal of Operational Research, vol. 182, pp. 282-299, 2007.
[46] Zhihua Zheng, Lirong Cui and Alan G. Hawkes, A further study on a single-unit repairable system, International Conference on Reliability Maintainability and Safety, Beijing, China, pp. 151-155, Aug. 22-26, 2007.
[47] Song Gao, Lirong Cui and Zhihua Zheng, A study on system safety by effects of component failure modes, International Conference on Reliability Maintainability and Safety, Beijing, China, pp. 362-367, Aug. 22-26, 2007.
[48] Lirong Cui, Haijun Li, Coherent systems of components with multivariate phase type life distributions, Reliability Engineering and System Safety, vol. 92, issue. 3, pp. 300-307, 2007.
[49] Zhihua Zheng, Lirong Cui and Alan G. Hawkes, A study on a single–unit Markov repairable system with repair time omission, IEEE Transactions on Reliability, vol. 55, no. 2, pp. 182-188, 2006.
[50] Song Gao, Zhihua Zheng and Lirong Cui, Expected repair times for a repairable system, The First International Conference on Maintenance Engineering, Chengdu, China, pp. 879-886, 2006.
[51] Xian Zhao, Lirong Cui and Xiaoyan Yang, A consecutive- and -out-of- system and its reliability, AIWARM, Korea, pp. 97-103, 2006.
[52] Lirong Cui, Xian Zhao and Jinlin Li, A study on some system safety models, European Safety and Reliability Conference - ESREL, Estoril, Portugal, pp.1607-1610, 2006.
[53] Yanlan Guo, Lirong Cui, Jinlin Li, Song Gao, Reliabilities for and systems, Communications in Statistics: Theory and Methods, vol. 35, issue 10, pp. 1779-1789, 2006.
[54] Lun Ran, Lirong Cui and M. Xie, Some analytical and numerical bounds on the renewal function, Communications in Statistics: Theory and Methods, vol. 35, issue 10, pp. 1815-1827, 2006.
[55] Lirong Cui, Way Kuo, Jinlin Li and Min Xie, On the dual Reliability systems of and , Statistics and Probability Letters, vol. 76, pp. 1081-1088, 2006.
[56] Lirong Cui, Haijun, Li, Opportunistic Maintenance for multi-component Shock model, Mathematical Method of Operations Research, vol. 63, pp. 493-511, 2006.
[57] Lirong Cui, M Xie, On a generalized k-out-of-n system and its reliability, International Journal of Systems Science, vol. 36, no. 5, pp. 267-274, 2005.
[58] Lirong Cui, Min Xie, Availability of a periodically inspected system with random repair or replacement times, Journal of Statistical Planning and Inference, vol. 131, no. 1, pp. 89-100, 2005.
[59] Assad Jalali, A.G. Hawkes, Lirong Cui and Frank K. Hwang, The optimal consecutive-k-out-of-n: G line for , Journal of Statistical Planning and Inference, vol. 128., no. 1, pp. 281-287, 2005.
[60] Lirong Cui, Analysis of Bullwhip effect for two-level supply chain with multi-distributed centers, Journal of Systems Science and Information, vol. 2, no. 4, pp. 707-711, 2004.
[61] Lirong Cui, Jinlin Li, Availability for a repairable system with finite repairs, Proceedings of the 2004 Asian International Workshop (AIWARM 2004) on Advanced Reliability Modeling, World Scientific, pp. 97-100, 2004.
[62] Lirong Cui, M. Xie and H.T. Loh, Inspection schemes for general system, IIE Transactions, vol.36, no.9, pp. 817-825, 2004.
[63] Lirong Cui, Way Kuo, H.T. Loh and M. Xie, Optimal allocation of minimal and perfect repairs under resource constraints, IEEE Transactions on Reliability, vol. 53, no. 2, pp. 193-199, 2004.
[64] Lirong Cui, H.T. Loh and M. Xie, Sequential inspection strategy for multiple systems under availability requirement, European Journal of Operational Research, vol. 155, no. 1, pp. 170-177, 2004.
[65] Lirong Cui, Min Xie, Some normal approximations for renewal function of large Weibull shape parameter, Communications in Statistics-Simulation & Computation, vol. 32, no.1, pp. 1-16, 2003.
[66] Xie M, Preuss W and Cui LR, Error analysis of some integration procedures for renewal equation and convolution integrals, Journal of Statistical Computation and Simulation, vol. 73, pp. 59-70, 2003.
[67] Lirong Cui, The IFR property for consecutive-k-out-of-n: F system, Statistics & Probability Letters, vol. 59, no. 4, pp. 405-414, 2002.
[68] Cui LR, Xie M, Availability analysis of periodically inspected systems with random walk model, Journal of Applied Probability, vol. 38, no. 4, pp. 860-871, 2001.
[69] Hwang FK, Cui LR, Chang JC, et al, Comments on reliability and component importance of a consecutive-k-out-of-n system, Microelectron & Reliability, vol. 40, no. 6, pp. 1061-1063, 2000.
[70] Chang GJ, Cui LR and Hwang FK, New comparisons in Birnbaum importance for the consecutive-k-out-of-n system, Probability in the Engineering & Informational Sciences, vol. 14, no. 3, pp. 405-405, 2000.
[71] Chang GJ, Cui LR and Hwang FK, Reliabilities for (n, f, k) systems, Statistics & Probability Letters, vol. 43, no. 3, pp. 237-242, 1999.
[72] Lirong Cui, Alan G. Hawkes and Assad Jalali, The increasing failure rate property of consecutive k-out-of-n, Probability in the Engineering & Informational Sciences, vol. 9, pp. 217-225, 1995.
[73] Lirong Cui, Alan G Hawkes, Availability of a series system with spares, Microelectron. & Reliability, vol. 34, no.6, pp. 1057-1068, 1994.

Books and Chapters:
[1].Gerard J. Chang, Lirong Cui & Frank K.Hwang, Reliabilities of Consecutive-k Systems,2000, Kluwer Academic Publishers.
[2] Lirong Cui, Handbook Performability Engineering (Chapter 48), 2000, Springer.
[3].Rui Miao, Zuhua Jiang , Lirong Cui, Engineering Statistics,Machinery Industry Press , 2010 . (In Chinese)
[4] Lirong Cui, Xian Zhao & Fangyu Liu, Quality Management, Renming University Press, 2012. (In Chinese)
[5] Alan. G. Hawkes, Lirong Cui & Shijia Du, Chapter16. Occupancy Times for Markov and Semi-Markov Models in Systems, Reliability Applied Reliability Engineering and Risk Analysis: Probabilistic Models and Statistical Inference, John Wiley & Sons, 2014, pp.218-230.

Personal and Acadamic Awards (for the last five years)
[1].In 2005, New Century Excellent Talents in University, China;
[2].In 2006, Best master degree supervisor of BIT;
[3].In 2009, Best PhD degree supervisor of BIT;
[4].In 2009, Conference paper award in IEEM2009 conference, Hong Kong, Dec, 8-11, 2009;
[5].In 2009, Best PhD degree supervisor of Beijing.
[6]. In 2011, Best master degree supervisor of BIT;
[7] In 2013, Best PhD degree supervisor of Beijing.
[8] In 2015, Best PhD degree supervisor of Beijing.

Acadamic and Consultancy Projects (for the last five years)
[1].National Natural Science Foundation of China:
2004.1-2006.12, A study on some problems in system reliability, NSFC’s project (70371048).
2007.1-2009.12, Modeling and analysis for maintenance and related aggregated stochastic processes, NSFC’s project (70671009).
2011.1-2013.12, Derivative maintainability modeling of the state aggregation modes and related issues , (71071020).
2014.1-2017.12, Modeling and analysis for complex stochastic dynamic systems, (71371031).
[2].Ministry of Education’s Project:
2011.1-2013.12.Sampling Theory and method analysis of the Multi-level quality product , Doctoral Program of Higher Education (SRFDP:20101101110033).
[3].Project of Beijing Municipal Education Committee:
2010.1-2011.12, Optimization and evaluation of the network system reliability.
[4].Many completed or ongoing enterprise’ projects.

Acadamic Conferences and other International and Domestic Professional Conferences (for the last five years)
[1] International Conference on Risk and Reliability Management, Beijing, Oct. 23-24, 2010, (Plenary talk) Technical Program Committee member.
[2] The 4th Asian-Pacific International Symposium on Advanced Reliability and Maintenance Modeling (APARM2010), Wellingtong, New Zealand, Dec. 2-4,2010. Technical Program Committee Co-Chair.
[3] 2010 International Conference on Risk and Reliability Management, 2010, October 23-25, Beijing, (Plenary talk).
[4] The 7th International Conference on“Methematical Methods in Reliability”: Theory. Methods. Applications. (MMR2011), Beijing, June 20-24, 2011. Technical Program Committee Co-Chair.
[5] The 9th International Conference on Reliability, Maintainability and Safety(ICRMS'2011) June 12-15, 2011,GUIYANG·CHINA, Program Committee Co-Chair.
[6]. 2012 Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling (APARM 2012), Nanjing, China, November 1-3, 2012, Conference General Co-Chairs.
[7]. 2013 The Seventh International Conference on Mathematical Methods in Reliability, Theory. Methods., Applications (Technical Program Committee member, Session-Chairs) (Cape Town).
[8]. International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering (QR2MSE 2014), July, 22-25, Dalian, China, Keynote speaker (Plenary talk).
[9]. International Workshop on Applied Probability, June 16-19, 2014, Antalya, Turkey, Invited speaker,
[10]. 2014 Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling (APARM 2014), Sapporo, Japan, August 20-23, 2014, Program Co-Chair.
[11]. The 8th International Conference on Modelling in Industrial Maintenance and Reliability (MIMAR 2014), Oxford, UK., Technical Program Committee member.
[12] International Applied reliability Symposium, Shanghai, China, November, 5-6, 2014, Plenary speaker.
[13] The workshop on reliability, 2015, April 7, Plenary talk, Beijing university of Science and Technology.
[14] International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering (QR2MSE 2015), July, Beijing, China, Program Co-Chair.
[15] No. 123, ShuangQing Forum for National Natural Science Foundation, Session tlak, Hefei, China, October,22-24, 2014.
[16] The 9th International Conference on “Methematical Methods in Reliability”: Theory. Methods. Applications. (MMR2015), Tokyo, June 1-4, 2015. Invited speaker.
[17] Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO’16), February 15-18, 2016, Beer Sheva, Israel, PC member.
[18] 2nd International Conference on Mathematical Techniques in Engineering Applications (ICMTEA2016), April, 29-30, 2016. India, Session/Keynote Speaker.
[19] The Fifth National Conference on Dependable Computing (CDC2015), Plenary talk. October 9-10, 2015. Jinhua, Zhejiang.

Guest editors:
[1] 2011, IEEE Transactions on Reliability, Special Section on MMR2011.
[2] 2011, Communications in Statistics---Theory and Methods, Special Issue on MMR2011.
[3] 2011, Annals of Operations Research, Special Volume: Stochastic Methods in Reliability and Risk Management.
[4] 2012, An International Journal Quality Technology & Quantitative Management, Special issue on Reliability Modeling, Inference and Analysis.
[5] 2012,Communications In Statistics-Theory And Methods, for Special Issue on APARM 2012.

Academic Family Tree:
(1) Professor M.S. Bartlett (University of Oxford , UK, Elected to NAS: 1993), he was Alan G Hawkes’ PhD supervisor;
(2) Professor Alan G. Hawkes, he was Lirong Cui’s PhD supervisor. (School of Business and Economics, University of Wales, Swansea, UK. Emeritus professor of statistics. Stochastic modelling, Hawkes process, Ion-channel, APL.)
 

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