Portrait of Professor Richard Verrall

Professor Richard Verrall

Professor Emeritus of Actuarial Statistics

Bayes Business School , Faculty of Actuarial Science and Insurance

Contact

About

Overview

Professor Richard Verrall was appointed Lecturer in the Department of Actuarial Science and Statistics, School of Mathematics in September 1987, having been a Visiting Lecturer since 1983. He was promoted to Senior Lecturer in 1992, Reader in 1995 and Professor in 1999. He read Mathematics at Cambridge University (1987-81) and was awarded an MSc in Statistics (with distinction) at UCL in 1982. He completed his PhD at City University in 1989 under the supervision of the then Dean of the School of Mathematics, Professor Henry Wynn.

Between 2011 and 2018 he served as Pro Vice-Chancellor then Vice President (Strategy & Planning). Following his retirement he was awarded Professor Emeritus in 2020.

He is a Fellow of the Royal Statistical Society (1982), became Chartered Statistician (1993) and an Honorary Fellow of the Institute of Actuaries (1999).  He is an Associate Editor of the British Actuarial Journal, the North American Actuarial Journal and Insurance: Mathematics and Economics, and a Principle Examiner for the Actuarial Profession. 

Qualifications

  • PhD Actuarial Science, City, University London, United Kingdom, October 1985 - December 1989
  • MSc Statistics, University College London, United Kingdom, September 1981 - August 1982
  • MA (Hons) Mathematics, University of Cambridge, United Kingdom, September 1978 - August 1981

Fellowships

  • Honorary Fellow, Institute of Actuaries, December 1999 - present
  • Fellow and Chartered Statistician, Royal Statistical Society, 1982 - present

Memberships of professional organisations

  • Fellow and Chartered Statistician, Royal Statistical Society, 1982 - present

Awards

  • Casualty Actuarial Society (2007). Best paper in Variance
  • Institute of Actuaries (2002). Highly Commended Paper
    Highly Commended Paper. Stochastic Claims Reserving in General Insurance. Institute of Actuaries, 2002.
  • Institute of Actuaries (1999). Honorary Fellow Hon FIA
  • Casualty Actuarial Society (1993). Casualty Actuarial Society's prize paper
    First prize in the Casualty Actuarial Society's prize paper competition on the variability of loss reserves, 1993. The paper was entitled Statistical Methods for the Chain Ladder Technique.

Expertise

Primary topics

  • Actuarial Science
  • Actuarial Statistics
  • Econometric & Statistical Methods
  • Insurance
  • Mathematical & Quantitative Methods
  • Simulation Methods
  • Statistics

Additional topics

  • Actuarial Science
  • Bayesian Statistics
  • Insurance
  • Non-life Insurance
  • Risk Management
  • Simulation Methods

Industries

  • insurance

Research

Research topics

Summary

Richard has published papers in all the actuarial journals and is Associate Editor of Insurance: Mathematics and Economics, the Annals of Actuarial Science and the North American Actuarial Journal. He is best known for his research into stochastic methods for claims reserving in non-life insurance and his research is used very widely in practice in the context of solvency and capital modelling.

His seminal paper with Dr Peter England is Stochastic Claims Reserving in General Insurance (2002) which was presented at the Institute of actuaries and published in the British Actuarial Journal. This is one of the most widely cited papers in the field and the methods contained in it have become part of the standard approach for capital modelling and solvency calculations.

England, P.D. and Verrall, R.J. (2002). Stochastic Claims Reserving in General Insurance. British Actuarial Journal, 8(3), pp. 443-518. doi:10.1017/s1357321700003809

Another important paper is Calculating compensation for loss of future earnings: Estimating and using work life expectancy, which was jointly written with Dr Zoltan Butt and Professor Steven Haberman of City and Professor Victoria Wass of Cardiff University. This was presented as a Read Paper at the Royal Statistical Society in 2008 and published in the Journal of the Royal Statistical Society, Series A. This paper formed the basis for an update of the “Ogden Tables” which are used by the Courts in the UK to determine compensation awards for loss of earnings following an accident, and had a significant effect on awards to people who were injured at work but still able to continue working.

Butt, Z., Haberman, S., Verrall, R. and Wass, V. (2008). Calculating compensation for loss of future earnings: Estimating and using work life expectancy. Journal of the Royal Statistical Society Series A Statistics in Society, 171(4), pp. 763-805.

Research students

Andres Villegas

Attendance: September 2010 - present, full-time

Thesis title: Modelling social-economic differentials in mortality

Role: 2nd Supervisor

Huijuan Liu

Attendance: September 2004 - September 2008

Thesis title: Stochastic Claims Reserving

Role: 1st Supervisor

Attendance: September 2001 - September 2005

Role: 2nd Supervisor

Attendance: 1997 - 2003

Role: 2nd Supervisor

Attendance: 1997 - 2001

Role: 1st Supervisor

Attendance: 1996 - 2005

Role: 1st Supervisor

Attendance: 1995 - 2006

Role: 1st Supervisor

Attendance: 1994 - 1997

Role: 1st Supervisor

Attendance: 1994 - 1997

Role: 1st Supervisor

Publications

Chapters (7)

  1. Butt, Z., Haberman, S., Verrall, R. and Wass, V. (2009). Estimating and using work life expectancy in the United Kingdom. In Ward, J. and Thornton, R.J. (Eds.), Personal Injury and Wrongful Death Damages Calculations: A Trans-Atlantic Dialogue (pp. 103-134). USA: Emerald. ISBN 9781848553026.
  2. Verrall, R.J. and Creagh, I. (2008). Higher Education Governance and Management Reform: systemic corporate governance reform at City University, London. In Mazza, C., Quattrone, P. and Riccaboni, A. (Eds.), European Universities in Transition: Issues, models, and cases (pp. 205-220). Cheltenham: Edward Elgar Publishing. ISBN 9781848441415.
  3. Verrall, R. and Hesselager, O. (2004). Claims Reserving in Non-Life Insurance. In Teugels, and Sundt, (Eds.), Encyclopedia of Actuarial Science Wiley. ISBN 0470846763.
  4. Verrall, R. (2004). Claims Reserving Using Credibility Methods. In Teugels, and Sundt, (Eds.), Encyclopedia of Actuarial Science Wiley. ISBN 0470846763.
  5. Verrall, R. (2004). Kalman Filter Reserving Methods. In Teugels, and Sundt, (Eds.), Encyclopedia of Actuarial Science Wiley. ISBN 0470846763.
  6. Verrall, R. (2004). Resampling. In Teugels, and Sundt, (Eds.), Encyclopedia of Actuarial Science Wiley. ISBN 0470846763.
  7. Verrall, R. and England, P.D. (1992). Modelling Excess Mortality of Diabetics: Generalised Linear Models and Dynamic Estimation. Advances in GLIM and Statistical Modelling. Proceedings of the GLIM92 Conference and the 7th International Workshop on Statistical Modelling, Munich, 13–17 July 1992 (pp. 78-84). Springer-Verlag. ISBN 9780387978734.

Conference papers and proceedings (34)

  1. Verrall, R.J., Nielsen, J.P. and Martinez-Miranda, M.D. (2011). Double Chain Ladder and Bornhuetter-Ferguson. ASTIN Colloquium Madrid, Spain.
  2. Verrall, R.J. and Liu, H. (2010). Bootstrap Estimation of the Predictive Distributions of Reserves Using Paid and Incurred Claims. Casualty Actuarial Society Washington DC, US.
  3. Verrall, R.J. (2010). What is wrong with the chain-ladder technique(?). Swedish Actuarial Society Meeting Stockholm, Sweden.
  4. Verrall, R.J. (2009). Obtaining Predictive Distributions for Reserves Which Incorporate Expert Opinion. Casualty Actuarial Society Annual Meeting Boston, US.
  5. Verrall, R.J. and Liu, H. (2008). Bootstrap Estimation of the Predictive Distributions of Reserves using Paid and Incurred Claims. ASTIN Colloquium Manchester, UK.
  6. Jessen, A.H., Perch Nielsen, J. and Verrall, R.J. (2007). Including count data in claims reserving: a. 34th GIRO Conference 2007 Newport, Wales, UK.
  7. Verrall, R. (2006). Bayesian Claims Reserving. RSA-Oxford conference on insurance Nuffield College, Oxford.
  8. Creagh, I. and Verrall, R. (2006). Higher Education Governance and Leadership Reform: some observations based on systemic corporate governance reform at City University, London. 2nd Workshop on the Process of Reform of University Systems, European Institute for Advanced Studies in Management Venice, Italy.
  9. Liu, H. and Verrall, R. (2006). Predictive Distributions for Reserves which Separate True IBNR and IBNER Claims. Insurance: Mathematics and Economics Leuven, Belgium.
  10. Haberman, S., Butt, Z. and Verrall, R. (2005). Ogden Tables. 2nd International Summer Conference of the National Association of Forensic Economics Dublin.
  11. Verrall, R. (2005). Stochastic Claims Reserving. 2nd Brazilian Conference on Statistical modelling in Insurance and Finance Maresias, Brazil.
  12. England, P. and Verrall, R. (2005). Stochastic Claims Reserving in General Insurance using Bayesian Methods. Insurance: Mathematics and Economics U of Laval.
  13. Verrall, R. (2004). Future of Actuarial Education. University Actuarial Teaching and Research Conference London.
  14. Verrall, R. (2004). Incorporating expert knowledge into a stochastic method for claims reserving. Insurance: Mathematics and Economics Rome.
  15. Verrall, R. (2004). Incorporating Prior knowledge into a stochastic model for claims reserving. Casualty Actuarial Society Loss Reserving Seminar Las Vegas.
  16. Verrall, R. (2004). MCMC and bootstrap methods for triangular tables, with applications in claims reserving. Third Scientific Conference on Insurance and Finance Dresden.
  17. England, P. and Verrall, R. (2004). More on Stochastic Claims Reserving in General Insurance. GIRO Killarney.
  18. Verrall, R. (2004). Stochastic Claims Reserving. 3rd International Conference on Actuarial Science and Finance Samos.
  19. Verrall, R. (2003). Mortality Improvements and Annuity Costs. Applied Mathematics and Applications of Mathematics AMAM2003, Nice,France.
  20. Verrall, R. (2002). 2nd International Conference on Actuarial Science and Finance. Samos.
  21. Verrall, R. (2002). 6th International Congress on Insurance: Mathematics and Economics. Lisbon.
  22. Verrall, R. (2002). University Teachers of Actuarial Science. Christchurch, Oxford.
  23. Verrall, R. (2001). 5th International Congress on Insurance: Mathematics and Economics. Penn State University.
  24. Verrall, R. (2001). University Teachers of Actuarial Science. London School of Economics.
  25. Verrall, R. (2000). 4th International Congress on Insurance: Mathematics and Economics. University of Barcelona.
  26. Verrall, R. (2000). University Teachers of Actuarial Science. Cambridge.
  27. Verrall, R. (1999). 3rd International Congress on Insurance: Mathematics and Economics. City University.
  28. Verrall, R. (1999). University Teachers of Actuarial Science. Oxford.
  29. Verrall, R. (1998). 2nd International Congress on Insurance: Mathematics and Economics. Lausanne.
  30. Verrall, R. (1998). Institute of Actuaries General Insurance Convention and ASTIN Colloquium. Glasgow.
  31. Verrall, R. (1997). 5th International Conference on Insurance Solvency and Finance. City University.
  32. Verrall, R. (1995). ASTIN Colloquium. Brussels.
  33. Verrall, R. and Renshaw, A. The Stochastic Model Underlying the Chain Ladder Technique. ASTIN Colloquium Cannes, France.
  34. Verrall, R. Chain Ladder with Varying Run-Off Evolutions. ASTIN Colloquium Cambridge.

Internet publication

  1. Verrall, R.J.Obtaining Predictive Distributions for Reserves Which Incorporate Expert Opinion. Casualty Actuarial Society E-Forum (Fall 2004).

Journal articles (61)

  1. Dimitrova, D.S., Kaishev, V.K., Lattuada, A. and Verrall, R.J. (2023). Geometrically designed variable knot splines in generalized (non-)linear models. Applied Mathematics and Computation, 436, pp. 127493-127493. doi:10.1016/j.amc.2022.127493

    [publisher’s website]

  2. Portugal, L., Pantelous, A.A. and Verrall, R. (2021). Univariate and multivariate claims reserving with Generalized Link Ratios. Insurance: Mathematics and Economics, 97, pp. 57-67. doi:10.1016/j.insmatheco.2020.11.011

    [publisher’s website]

  3. Lindholm, M. and Verrall, R. (2020). Regression based reserving models and partial information. Insurance: Mathematics and Economics, 94, pp. 109-124. doi:10.1016/j.insmatheco.2020.07.001

    [publisher’s website]

  4. Wahl, F., Lindholm, M. and Verrall, R. (2019). The collective reserving model. Insurance: Mathematics and Economics, 87, pp. 34-50. doi:10.1016/j.insmatheco.2019.04.003

    [publisher’s website]

  5. England, P.D., Verrall, R.J. and Wüthrich, M.V. (2019). On the lifetime and one-year views of reserve risk, with application to IFRS 17 and Solvency II risk margins. Insurance: Mathematics and Economics. doi:10.1016/j.insmatheco.2018.12.002

    [publisher’s website]

  6. Margraf, C., Elpidorou, V. and Verrall, R. (2018). Claims reserving in the presence of excess-of-loss reinsurance using micro models based on aggregate data. Insurance: Mathematics and Economics, 80, pp. 54-65. doi:10.1016/j.insmatheco.2018.03.001

    [publisher’s website]

  7. Kaishev, V.K., Dimitrova, D.S., Haberman, S. and Verrall, R.J. (2016). Geometrically designed, variable knot regression splines. Computational Statistics, 31(3), pp. 1079-1105. doi:10.1007/s00180-015-0621-7

    [publisher’s website]

  8. Verrall, R.J. and Wuthrich, M.V. (2015). Parameter Reduction in Log-normal Chain-ladder Models. European Actuarial Journal, 5(2), pp. 355-380. doi:10.1007/s13385-015-0114-7

    [publisher’s website]

  9. Agbeko, T., Hiabu, M., Miranda, M.D.M., Nielsen, J.P. and Verrall, R.J. (2014). Validating the double chain ladder stochastic claims reserving model. Variance: advancing the science of risk, 8(2), pp. 138-160

    [publisher’s website]

  10. Martinez-Miranda, M.D., Nielsen, J.P., Verrall, R. and Wüthrich, M.V. (2013). Double chain ladder, claims development inflation and zero-claims. Scandinavian Actuarial Journal, 2015(5), pp. 383-405. doi:10.1080/03461238.2013.823459

    [publisher’s website]

  11. Martínez Miranda, M.D., Nielsen, J.P., Sperlich, S. and Verrall, R. (2013). Continuous Chain Ladder: Reformulating and generalizing a classical insurance problem. Expert Systems with Applications, 40(14), pp. 5588-5603. doi:10.1016/j.eswa.2013.04.006

    [publisher’s website]

  12. Martínez-Miranda, M.D., Nielsen, J.P. and Verrall, R. (2013). Double Chain Ladder and Bornhuetter-Ferguson. North American Actuarial Journal, 17(2), pp. 101-113. doi:10.1080/10920277.2013.793158

    [publisher’s website]

  13. England, P.D., Verrall, R.J. and Wuthrich, M. (2012). Bayesian over-dispersed Poisson model and the Bornhuetter & Ferguson claims reserving method. Annals of Actuarial Science, 6(2), pp. 258-283. doi:10.1017/S1748499512000012

    [publisher’s website]

  14. Verrall, R., Hössjer, O. and Björkwall, S. (2012). Modelling claims run-off with reversible jump markov chain Monte Carlo methods. Astin Bulletin, 42(1), pp. 35-58. doi:10.2143/AST.42.1.2160711

    [publisher’s website]

  15. Miranda, M.D.M., Nielsen, J.P. and Verrall, R. (2012). Double chain ladder. Astin Bulletin, 42(1), pp. 59-76. doi:10.2143/AST.42.1.216071

    [publisher’s website]

  16. Sithole, T., Haberman, S. and Verrall, R. (2012). Second international comparative study of mortality tables for pension fund retirees. British Actuarial Journal, 17(3), pp. 650-671. doi:10.1017/S1357321712000207

    [publisher’s website]

  17. Verrall, R.J. and Wüthrich, M.V. (2012). Reversible Jump Markov Chain Monte Carlo Method for Parameter Reduction in Claims Reserving. North American Actuarial Journal, 16(2), pp. 240-259. doi:10.1080/10920277.2012.10590639

    [publisher’s website]

  18. Verrall, R.J. (2012). Ancient or Modern? Annals of Actuarial Science, 6(1), pp. 1-4. doi:10.1017/S1748499511000376

    [publisher’s website]

  19. Verrall, R.J. and Haberman, S. (2011). Automated Graduation using Bayesian Trans-dimensional Models. Annals of Actuarial Science, 5(2), pp. 231-251. doi:10.1017/S1748499511000248

    [publisher’s website]

  20. Björkwall, S., Hössjer, O., Ohlsson, E. and Verrall, R. (2011). A generalized linear model with smoothing effects for claims reserving. Insurance Mathematics and Economics, 49(1), pp. 27-37. doi:10.1016/j.insmatheco.2011.01.012

    [publisher’s website]

  21. Miranda, M.D.M., Nielsen, B., Perch Nielsen, J. and Verrall, R. (2011). Cash flow simulation for a model of outstanding liabilities based on claim amounts and claim numbers. Astin Bulletin, 41(1), pp. 107-129. doi:10.2143/AST.41.1.2084388

    [publisher’s website]

  22. Haberman, S., Khalaf-Allah, M. and Verrall, R. (2011). Entropy, longevity and the cost of annuities. Insurance Mathematics and Economics, 48(2), pp. 197-204. doi:10.1016/j.insmatheco.2010.10.005

    [publisher’s website]

  23. Verrall, R., Nielsen, J.P. and Jessen, A.H. (2010). Prediction of RBNS and IBNR claims using claim amounts and claim counts. Astin Bulletin, 40(2), pp. 871-887. doi:10.2143/AST.40.2.2061139
  24. Butt, Z., Haberman, S., Verrall, R. and Wass, V. (2010). Work life expectancy: Calculating compensation for loss of future earnings. Measurement and Control, 43(5), pp. 146-151. doi:10.1177/002029401004300504

    [publisher’s website]

  25. Liu, H. and Verrall, R.J. (2010). Bootstrap Estimation of the Predictive Distributions of Reserves Using Paid and Incurred Claims. Variance, 4(2), pp. 121-135
  26. Liu, H. and Verrall, R. (2009). Predictive distributions for reserves which separate true IBNR and IBNER claims. Astin Bulletin, 39(1), pp. 35-60. doi:10.2143/AST.39.1.2038055

    [publisher’s website]

  27. Liu, H. and Verrall, R. (2009). A Bootstrap estimate of the predictive distribution of outstanding claims for the schnieper model. Astin Bulletin, 39(2), pp. 677-689. doi:10.2143/AST.39.2.2044653

    [publisher’s website]

  28. Verrall, R.J. and Bryden, D. (2009). Calendar Year Effects, Claims Inflation and the Chain-ladder Technique. Annals of Actuarial Science, 4(2), pp. 287-301. doi:10.1017/S1748499500000749

    [publisher’s website]

  29. Butt, Z., Haberman, S., Verrall, R. and Wass, V. (2008). Calculating compensation for loss of future earnings: Estimating and using work life expectancy. Journal of the Royal Statistical Society Series A Statistics in Society, 171(4), pp. 763-805. doi:10.1111/j.1467-985X.2007.00539.x

    [publisher’s website]

  30. Cowell, R.G., Verrall, R.J. and Yoon, Y.K. (2007). Modeling operational risk with Bayesian networks. Journal of Risk and Insurance, 74(4), pp. 795-827. doi:10.1111/j.1539-6975.2007.00235.x

    [publisher’s website]

  31. Verrall, R. (2007). Obtaining Predictive Distributions for Reserves Which Incorporate Expert Opinion. Variance (Casualty Actuarial Society), 1(1), pp. 53-80
  32. Khalaf-Allah, M., Haberman, S. and Verrall, R. (2006). Measuring the effect of mortality improvements on the cost of annuities. Insurance Mathematics and Economics, 39(2), pp. 231-249. doi:10.1016/j.insmatheco.2006.02.005

    [publisher’s website]

  33. Verrall, R.J. and England, P.D. (2006). Predictive Distributions of Outstanding Liabilities in General Insurance. Annals of Actuarial Science, 1(2), pp. 221-270. doi:10.1017/S1748499500000142

    [publisher’s website]

  34. Verrall, R.J. and England, P.D. (2005). Incorporating expert opinion into a stochastic model for the chain-ladder technique. Insurance Mathematics and Economics, 37(2 SPEC. ISS.), pp. 355-370. doi:10.1016/j.insmatheco.2005.04.005

    [publisher’s website]

  35. Verrall, R.J. (2004). A Bayesian Generalized Linear Model for the Bornhuetter-Ferguson Method of Claims Reserving. North American Actuarial Journal, 8(3), pp. 67-89. doi:10.1080/10920277.2004.10596152

    [publisher’s website]

  36. England, P.D. and Verrall, R.J. (2002). Stochastic Claims Reserving in General Insurance. British Actuarial Journal, 8(3), pp. 443-518. doi:10.1017/s1357321700003809

    [publisher’s website]

  37. Verrall, R. and England, P. (2001). A Flexible Framework for Stochastic Claims Reserving. Proceedings of the Casualty Actuarial Society (US), 88 - Part 1(168), pp. 1-38
  38. Sithole, T.Z., Haberman, S. and Verrall, R.J. (2000). An investigation into parametric models for mortality projections, with applications to immediate annuitants' and life office pensioners' data. Insurance Mathematics and Economics, 27(3), pp. 285-312. doi:10.1016/S0167-6687(00)00054-8

    [publisher’s website]

  39. Verrall, R.J. (2000). An investigation into stochastic claims reserving models and the chain-ladder technique. Insurance Mathematics and Economics, 26(1), pp. 91-99. doi:10.1016/S0167-6687(99)00038-4

    [publisher’s website]

  40. Verrall, R.J. and England, P.D. (2000). Comments on: “A comparison of stochastic models that reproduce chain ladder reserve estimates”, by Mack and Venter. Insurance: Mathematics and Economics, 26(1), pp. 109-111. doi:10.1016/s0167-6687(99)00040-2

    [publisher’s website]

  41. England, P. and Verrall, R. (1999). Analytic and bootstrap estimates of prediction errors in claims reserving. Insurance Mathematics and Economics, 25(3), pp. 281-293. doi:10.1016/S0167-6687(99)00016-5

    [publisher’s website]

  42. Huber, P.P. and Verrall, R.J. (1999). The Need for Theory in Actuarial Economic Models. British Actuarial Journal, 5(2), pp. 377-395. doi:10.1017/s1357321700000507

    [publisher’s website]

  43. Verrall, R.J. and Yakoubov, Y. (1999). A Fuzzy Approach to Grouping by Policyholder Age in General Insurance. Journal of Actuarial Practice, 7(1999), pp. 181-203
  44. Verrall, R. and Renshaw, A. (1998). A Stochastic Model Underlying the Chain Ladder Technique. British Actuarial Journal, 4(4), pp. 903-923. doi:10.1017/S1357321700000222

    [publisher’s website]

  45. Verrall, R., Booth, P., Allan, I. and Walsh, D. (1998). The Management of Risks in Banking. (with discussion). BAJ, 4
  46. Nelder, J.A. and Verrall, R.J. (1997). Credibility Theory and Generalized Linear Models. ASTIN Bulletin, 27(1), pp. 71-82. doi:10.2143/ast.27.1.563206

    [publisher’s website]

  47. Verrall, R. (1996). Claims reserving and generalised additive models. Insurance Mathematics and Economics, 19(1), pp. 31-43. doi:10.1016/S0167-6687(96)00000-5

    [publisher’s website]

  48. Gavin, J., Haberman, S. and Verrall, R. (1995). Graduation by Kernel and Adaptive Kernel Methods with a Boundary Correction. Transactions of Society of Actuaries, 47, pp. 173-209
  49. Verrall, R.J. (1994). A Method for Modelling Varying Run-Off Evolutions in Claims Reserving. ASTIN Bulletin, 24(2), pp. 325-332. doi:10.2143/ast.24.2.2005074

    [publisher’s website]

  50. Verrall, R. and Boskov, M. (1994). Premium Rating by Geographic Area Using Spatial Models Proceedings, ASTIN Colloquium, 1993, Cambridge. ASTIN Bulletin, 24, pp. 131-143

    [publisher’s website]

  51. Verrall, R. (1994). Statistical Methods for the Chain Ladder Technique. Casualty Actuarial Society Forum, Spring 1994 pp. 393-446
  52. Gavin, J., Haberman, S. and Verrall, R. (1994). On the Choice of Bandwidth for Kernel Graduation. Journal of Institute of Actuaries, 121(1), pp. 119-134. doi:10.1017/S0020268100020102

    [publisher’s website]

  53. Gavin, J., Haberman, S. and Verrall, R. (1993). Moving weighted average graduation using kernel estimation. Insurance Mathematics and Economics, 12(2), pp. 113-126. doi:10.1016/0167-6687(93)90821-6

    [publisher’s website]

  54. Verrall, R.J. (1993). A state space formulation of Whittaker graduation, with extensions. Insurance Mathematics and Economics, 13(1), pp. 7-14. doi:10.1016/0167-6687(93)90529-X

    [publisher’s website]

  55. Verrall, R. (1993). Review of Insurance Risk Models, a book by H. Panjer and G. Willmot. Journal of the Institute of Actuaries, 120(1), pp. 235-236. doi:10.1017/S002026810003701X

    [publisher’s website]

  56. Verrall, R. (1993). Graduation by Dynamic Regression Methods. Journal of the Institute of Actuaries, 120(1), pp. 153-170. doi:10.1017/S002026810003688X

    [publisher’s website]

  57. Verrall, R. (1993). A State Space Formulation of Whittaker-Henderson Graduation, with Extensions. Insurance: Mathematics and Economics, 13, pp. Jul-14
  58. Verrall, R. (1993). Discussion of Generalised Additive Models by T. Hastie and R. Tibshirani. Journal of the Royal Statistical Society. Series B: Methodological, 55(4), pp. 788-789
  59. Verrall, R.J. (1991). On the estimation of reserves from loglinear models. Insurance Mathematics and Economics, 10(1), pp. 75-80. doi:10.1016/0167-6687(91)90026-T

    [publisher’s website]

  60. Verrall, R.J. (1990). Bayes and Empirical Bayes Estimation for the Chain Ladder Model. ASTIN Bulletin, 20(2), pp. 217-243. doi:10.2143/ast.20.2.2005444

    [publisher’s website]

  61. Verrall, R.J. (1989). Modelling Claims Runoff Triangles with Two-dimensional Time Series. Scandinavian Actuarial Journal, 1989(3), pp. 129-138. doi:10.1080/03461238.1989.10413863

    [publisher’s website]

Reports (8)

  1. Kaishev, V.K., Dimitrova, D.S., Haberman, S. and Verrall, R.J. (2006). Geometrically designed, variable knot regression splines: variation diminish optimality of knots. London, UK: Faculty of Actuarial Science & Insurance, City University London.
  2. Kaishev, V.K., Dimitrova, D.S., Haberman, S. and Verrall, R.J. (2006). Geometrically designed, variable know regression splines: asymptotics and inference. London, UK: Faculty of Actuarial Science & Insurance, City University London.
  3. Verrall, R., Kaishev, V., Dimitrova, D. and Haberman, S. (2005). Automatic, Computer Aided Geometric Design of Free-Knot, Regression Splines..
  4. Verrall, R., Brouhns, N., Denuit, M. and Masuy, B. (2002). Ratemaking by Geographical Area: A Case Study using the Boskov and Verrall Model. Louvain-la-Neuve, Belgium: Institut de Statistique, Universite Catholique de Louvain.
  5. Verrall, R. and Yakoubov, Y. (1999). A Fuzzy Approach to Grouping by Policyholder Age in General Insurance. Faculty of Actuarial Science & Insurance, City University London.
  6. Verrall, R. (1996). A Unified Framework for Graduation..
  7. Verrall, R. (1995). Whittaker Graduation and Parametric State Space Models..
  8. Verrall, R. and England, P.D. (1992). Dynamic Estimation for Models of Excess Mortality..

Working papers (3)

Other

  1. Verrall, R. and Huber, P.(1997). The Development of UK Actuarial Economic Models.

Professional activities

Editorial activity (4)

  1. Annals of Actuarial Science, Associate Editor, 2006 - present.
  2. British Actuarial Journal, Associate Editor, 1999 - 2010.
  3. Insurance: Mathematics and Economics, Associate Editor, 1999 - present.
  4. North American Actuarial Journal, Associate Editor, 1999 - present.

Events/conferences (35)

  1. University of Lund Seminar Series. (Seminar) Lund, Sweden (2016). Invited speaker.
    Paper: My liminal life: Perpetual journeys across the research-practice divide
    Author: Empson L
  2. ASTIN Colloquium. (Conference) Madrid, Spain (2011).
    Paper: Double Chain Ladder and Bornhuetter-Ferguson
    Author: Verrall RJ
    Co-authors: MD Martinez-Miranda and JP Nielsen
  3. Swedish Actuarial Society Meeting. (Public lecture) Stockholm, Sweden (2010). Invited speaker.
    Paper: What is wrong with the chain-ladder technique(?)
    Author: Verrall R.J.
  4. Casualty Actuarial Society. (Conference) Washington DC, US (2010). Invited speaker.
    Paper: Bootstrap Estimation of the Predictive Distributions of Reserves Using Paid and Incurred Claims
    Author: Verrall R.J.
    Co-authors: H.Liu
  5. Casualty Actuarial Society Annual Meeting. (Conference) Boston, US (2009). Invited speaker.
    Paper: Obtaining Predictive Distributions for Reserves Which Incorporate Expert Opinion
    Author: Verrall R.J.
  6. ASTIN. Manchester (2008). Organising Committee
  7. ASTIN Colloquium. (Conference) Manchester, UK (2008).
    Paper: Bootstrap Estimation of the Predictive Distributions of Reserves using Paid and Incurred Claims
    Author: Verrall R.J.
    Co-authors: H Liu
  8. GIRO. (Conference) Newport (2007).
    Paper: Including count data in claims reserving: a
    Author: Jessen A H
    Co-authors: J Perch Nielsen, R J Verrall
  9. RSA-Oxford conference on insurance. Nuffield College, Oxford (2006).
    Paper: Bayesian Claims Reserving
  10. Insurance: Mathematics and Economics. Leuven, Belgium (2006).
    Paper: Predictive Distributions for Reserves which Separate True IBNR and IBNER Claims
    Co-authors: H Liu
  11. 2nd Workshop on the Process of Reform of University Systems, European Institute for Advanced Studies in Management. Venice, Italy (2006).
    Paper: Higher Education Governance and Leadership Reform: some observations based on systemic corporate governance reform at City University, London
    Co-authors: I Creagh
  12. Insurance: Mathematics and Economics. U of Laval (2005).
    Paper: Stochastic Claims Reserving in General Insurance using Bootstrap Methods
    Co-authors: P England
  13. 2nd International Summer Conference of the National Association of Forensic Economics. Dublin (2005).
    Paper: Ogden Tables
    Co-authors: S Haberman, Z Butt
  14. 2nd Brazilian Conference on Statistical modelling in Insurance and Finance. Maresias, Brazil (2005).
    Paper: Stochastic Claims Reserving
  15. University Actuarial Teaching and Research Conference. London (2004).
    Paper: Future of Actuarial Education
  16. Third Scientific Conference on Insurance and Finance. Dresden (2004).
    Paper: MCMC and bootstrap methods for triangular tables, with applications in claims reserving
  17. Insurance: Mathematics and Economics. Rome (2004).
    Paper: Incorporating expert knowledge into a stochastic method for claims reserving
  18. GIRO. Killarney (2004).
    Paper: More on Stochastic Claims Reserving in General Insurance
    Co-authors: P England
  19. Casualty Actuarial Society Loss Reserving Seminar. Las Vegas (2004).
    Paper: Incorporating Prior knowledge into a stochastic model for claims reserving
  20. 3rd International Conference on Actuarial Science and Finance. Samos (2004).
    Paper: Stochastic Claims Reserving
  21. Applied Mathematics and Applications of Mathematics. AMAM2003, Nice,France (2003).
    Paper: Mortality Improvements and Annuity Costs
  22. 6th International Congress on Insurance: Mathematics and Economics. Lisbon (2002).
  23. 2nd International Conference on Actuarial Science and Finance. Samos (2002).
  24. Christchurch, Oxford (2002).
    Paper: University Teachers of Actuarial Science
  25. 2nd International Conference on Actuarial Science and Finance. Samos (2002).
  26. London School of Economics (2001).
    Paper: University Teachers of Actuarial Science
  27. 5th International Congress on Insurance: Mathematics and Economics. Penn State University (2001).
  28. Cambridge (2000).
    Paper: University Teachers of Actuarial Science
  29. 4th International Congress on Insurance: Mathematics and Economics. University of Barcelona (2000).
  30. Oxford (1999).
    Paper: University Teachers of Actuarial Science
  31. 3rd International Congress on Insurance: Mathematics and Economics. City University (1999).
  32. 2nd International Congress on Insurance: Mathematics and Economics. Lausanne (1998).
  33. Institute of Actuaries General Insurance Convention and ASTIN Colloquium. Glasgow (1998).
  34. 5th International Conference on Insurance Solvency and Finance. City University (1997).
  35. ASTIN Colloquium. Brussels (1995).

Media appearances (8)

  1. (2011) Times Higher Education Supplement (newspaper).
  2. Appointments. (2011) Times Higher Education (newspaper).
  3. Modelling Operational Risk With Bayesian Networks. (2007) www.reedfirstsource.com (website).
  4. Climate change:threat or opportunity? (2007) European Business Forum.
  5. Cass brings actuarial science and insurance together. (2006) The Actuary.
  6. By the numbers, shades of grey. (2006) CFO Europe.
  7. Cass brings actuarial science and insurance together. (2006) European Intelligence Wire.
  8. Cass brings actuarial science and insurance together. (2006) Insurance Newslink.