City Research Online

Article

Dimitrova, D. S. ORCID: 0000-0003-3169-2735, Kaishev, V. K., Lattuada, A. & Verrall, R. J. ORCID: 0000-0003-4098-9792view all authors (2023). Geometrically designed variable knot splines in generalized (non-)linear models. Applied Mathematics and Computation, 436, article number 127493. doi: 10.1016/j.amc.2022.127493

England, P. D., Verrall, R. J. ORCID: 0000-0003-4098-9792 & 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, 85, pp. 74-88. doi: 10.1016/j.insmatheco.2018.12.002

Margraf, C., Elpidorou, V. & Verrall, R. J. (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

Dimitrova, D. S., Kaishev, V. K., Lattuada, L. & Verrall, R. J.view all authors (2017). Geometrically Designed Variable Knot Splines in Generalized (Non-)Linear Models.

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

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

Verrall, R. J. & Wüthrich, 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

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

Martinez-Miranda, M. D., Nielsen, J. P., Sperlich, S. & Verrall, R. J.view all authors (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

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

Verrall, R. J. & 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

England, P. D., Verrall, R. J. & Wüthrich, M. V. (2012). Bayesian Overdispersed Poisson Model and the Bornhuetter-Ferguson Claim Reserving Method. Annals of Actuarial Science, 6(2), pp. 258-283. doi: 10.1017/s1748499512000012

Martinez-Miranda, M. D., Nielsen, J. P. & Verrall, R. J. (2012). Double Chain Ladder. ASTIN Bulletin, 42(1), pp. 59-76. doi: 10.2143/AST.42.1.216071

Verrall, R. J., Hossjer, O. & Bjorkwall, 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

Verrall, R. J. & Haberman, S. (2011). Automated Graduation using Bayesian Trans-dimensional Models. Annals of Actuarial Science, 5(2), pp. 231-251. doi: 10.1017/s1748499511000248

Sithole, T., Haberman, S. & Verrall, R. J. (2011). Second international comparative study of mortality tables for pension fund retirees. British Actuarial Journal, 17(3), pp. 650-671. doi: 10.1017/s1357321712000207

Bjorkwall, S., Hossjer, O., Ohlsson, E. & Verrall, R. J.view all authors (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

Martinez-Miranda, M. D., Nielsen, B., Nielsen, J. P. & Verrall, R. J.view all authors (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

Haberman, S., Khalaf-Allah, M.A.E. & Verrall, R. J. (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

Verrall, R. J., Nielsen, J. P. & 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

Liu, H. & Verrall, R. J. (2010). Bootstrap Estimation of the Predictive Distributions of Reserves Using Paid and Incurred Claims. Variance, 4(2), pp. 121-135.

Liu, H. & Verrall, R. J. (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

Butt, Z., Haberman, S., Verrall, R. J. & Wass, V.view all authors (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

Conference or Workshop Item

Verrall, R. J. & Liu, H. (2010). Bootstrap Estimation of the Predictive Distributions of Reserves using Paid and Incurred Claims. Paper presented at the ASTIN Colloquium 2008, 13-16 Jul 2008, Manchester, UK.

Thesis

Verrall, R. J. (1989). Stochastic Models for Triangular Tables with Applications to Cohort Data and Claims Reserving. (Unpublished Doctoral thesis, City University London)

Working Paper

Kaishev, V. K., Dimitrova, D. S., Haberman, S. & Verrall, R. J.view all authors (2006). Geometrically designed, variable knot regression splines: variation diminish optimality of knots (Statistical Research Paper No. 29). London, UK: Faculty of Actuarial Science & Insurance, City University London.

Kaishev, V. K., Dimitrova, D. S., Haberman, S. & Verrall, R. J.view all authors (2006). Geometrically designed, variable know regression splines: asymptotics and inference (Statistical Research Paper No. 28). London, UK: Faculty of Actuarial Science & Insurance, City University London.

Kaishev, V. K., Dimitrova, D. S., Haberman, S. & Verrall, R. J.view all authors (2004). Automatic, computer aided geometric design of free-knot, regression splines (Statistical Research Paper No. 24). London, UK: Faculty of Actuarial Science & Insurance, City University London.

Verrall, R. J. (2001). A Bayesian generalised linear model for the Bornhuetter-Ferguson method of claims reserving (Actuarial Research Paper No. 139). London, UK: Faculty of Actuarial Science & Insurance, City University London.

Verrall, R. J. & Yakoubov, Y. H. (1998). A fuzzy approach to grouping by policyholder age in general insurance (Actuarial Research Paper No. 104). London, UK: Faculty of Actuarial Science & Insurance, City University London.

Huber, P. P. & Verrall, R. J. (1998). The need for theory in actuarial economic models (Actuarial Research Paper No. 109). London, UK: Faculty of Actuarial Science & Insurance, City University London.

Verrall, R. J. (1996). A unified framework for graduation (Actuarial Research Paper No. 91). London, UK: Faculty of Actuarial Science & Insurance, City University London.