Bäuerle, N. (1997). Inequalities for stochastic models via supermodular orderings. Communications in Statistics – Stochastic Models, 13, 181–201.
Beard, R.E., Perks, W. (1949). The relation between the distribution of sickness and the effect of duplicates on the distribution of deaths. Journal of the Institute of Actuaries, 75, 75–86.
Biatat, V.D., Currie, I.D. (2010). Joint models for classification and comparison of mortality in different countries. In Proceedings of the 25th International Workshop on Statistical Modelling (Ed: A.W. Bowman), 89–94. Glasgow: University of Glasgow.
Breslaw, N.E., Clayton, D.G. (1993). Approximate inference in generalized linear mixed models. Journal of the American Statistical Association, 88, 9–25.
Brouhns, N., Denuit, M., Vermunt, J.K. (2002). A Poisson log-bilinear regression approach to the construction of projected lifetables. Insurance: Mathematics and Economics, 31, 373–393.
Cairns, A.J.G., Blake, D., Dowd, K., Coughlan, G.D., Epstein, D., Ong, A., Balevich, I. (2009). A quantitative comparison of stochastic mortality models using data from England and Wales and the United States. North American Actuarial Journal, 13, 1–35.
CMI Committee (1957). Continuous investigation into the mortality of assured lives. Journal of the Institute of Actuaries, 83, 34–36.
CMI Committee (1986). An investigation into the distribution of policies per life assured in the cause of death investigation data. CMIR, 8, 49–58.
Currie, I.D., Durban, M., Eilers, P.H.C. (2004). Smoothing and forecasting mortality rates. Statistical Modelling, 4, 279–298.
Currie, I.D., Durban, M., Eilers, P.H.C. (2006). Generalized linear array models with applications to multidimensional smoothing. Journal of the Royal Statistical Society (Series B), 68, 259–280.
Daw, R.H. (1946). On the validity of statistical tests of the graduation of a mortality table. Journal of the Institute of Actuaries, 72, 174–190.
Daw, R.H. (1951). Duplicate policies in mortality data. Journal of the Institute of Actuaries, 77, 261–267.
Denuit, M. (2000). Stochastic analysis of duplicates in life insurance portfolios. German Actuarial Bulletin, 24, 507–514.
Eilers, P.H.C., Marx, B.D. (1996). Flexible smoothing with B-splines and penalties (with Discussion). Statistical Science, 11, 89–121.
Forfar, D.O., McCutcheon, J.J., Wilkie, A.D. (1988). On graduation by mathematical formula. Journal of the Institute of Actuaries, 115, 1–149.
Heuer, C. (1997). Modeling of time trends and interactions in vital rates using restricted regression splines. Biometrics, 53, 161–177.
Hinde, J., Demetrio, C.G.B. (1998). Overdispersion: models and estimation. Computational Statistics and Data Analysis, 27, 151–170.
Human Mortality Database (2009). University of California, Berkeley (USA), and Max Planck Institute for Demographic Research (Germany). Available at www.mortality.org or www.humanmortality.de (January, 2009).
Li, J.S.H., Hardy, M.R., Tan, K.S. (2009). Uncertainty in mortality forecasting: an extension to the classic Lee-Carter approach. Astin Bulletin, 39, 137–164.
McCullagh, P., Nelder, J.A. (1989). Generalized Linear Models. London: Chapman and Hall.
Nelder, J.A., Pregibon, D. (1987). An extended quasi-likelihood function. Biometrika, 74, 221–232.
Renshaw, A.E. (1992). Joint modelling for actuarial graduation and duplicate policies. Journal of the Institute of Actuaries, 119, 69–85.
Renshaw, A.E., Hatzopoulos, P. (1996). On the graduation of ‘amounts’. British Actuarial Journal, 2, 185–205.
Richards, S.J. (2008). Applying survival models to pensioner mortality data. British Actuarial Journal, 14, 257–326.
Richards, S.J., Currie, I.D. (2009). Longevity risk and annuity pricing with the Lee-Carter model. British Actuarial Journal, 15, Part II (to be published).
Richards, S.J., Kirkby, J.G., Currie, I.D. (2006). The importance of year of birth in two-dimensional mortality data. British Actuarial Journal, 12, 5–61.
Ruppert, D., Wand, M.P., Carroll, R.J. (2003). Semiparametric regression. Cambridge: Cambridge University Press.
Schwarz, G. (1978). Estimating the dimension of a model. The Annals of Statistics, 6, 461–464.
Seal, H.L. (1940). Tests of a mortality table graduation. Journal of the Institute of Actuaries, 71, 5–67.
Shaked, M., Shanthikumar, J.G. (1997). Supermodular stochastic orders and positive dependence of random vectors. Journal of Multivariate Analysis, 61, 86–101.
Wedderburn, R.W.M. (1974). Quasi-likelihood functions, generalized linear models, and the Gauss-Newton method. Biometrika, 61, 439–447.
Williams, D.A. (1982). Extra-binomial variation in logistic linear models. Applied Statistics, 31, 144–148.
Ye, J. (1998). On measuring and correcting the effects of data mining and model selection. Journal of the American Statistical Association, 93, 120–131.