Efficient approximations for numbers of survivors in the Lee–Carter model

Balakrishnan, 2012, Increasing directionally convex orderings of random vectors having the same copula, and their use in comparing ordered data, J. Multivariate Anal., 105, 45, 10.1016/j.jmva.2011.08.017 Denuit, 2008, Comonotonic approximations to quantiles of life annuity conditional expected present values, Insur. Math. Econ., 42, 831, 10.1016/j.insmatheco.2007.09.006 Denuit, 2007, Comonotonic bounds on the survival probabilities in the Lee–Carter model for mortality projections, Comput. Appl. Math., 203, 169, 10.1016/j.cam.2006.03.015 Denuit, 2005 Denuit, 2010, Comonotonic approximations to quantiles of life annuity conditional expected present values: extensions to general ARIMA models and comparison with the bootstrap, ASTIN Bull., 40, 331, 10.2143/AST.40.1.2049232 Denuit, M., Mesfioui, M., 2013 Multivariate higher-degree stochastic increasing convexity. ISBA Discussion Paper - 2013/16. Dhaene, 2002, The concept of comonotonicity in actuarial science and finance: Theory, Insur. Math. Econ., 31, 3, 10.1016/S0167-6687(02)00134-8 Dhaene, 2002, The concept of comonotonicity in actuarial science and finance: Applications, Insur. Math. Econ., 31, 133, 10.1016/S0167-6687(02)00135-X Dickson, 1999, Multi-period aggregate loss distributions for a life portfolio, ASTIN Bull., 29, 295, 10.2143/AST.29.2.504616 Donnelly, 2011, Quantifying mortality risk in small defined-benefit pension schemes, Scand. Actuar. J., 1 Hoedemakers, 2005, Approximations for life annuity contracts in a stochastic financial environment, Insur. Math. Econ., 37, 239, 10.1016/j.insmatheco.2005.02.003 Lee, 1992, Modelling and forecasting the time series of US mortality, J. Amer. Statist. Assoc., 87, 659 Sundt, 1999, Discussion on D.C.M Dickson and H.R. Waters, ASTIN Bull., 29, 311, 10.2143/AST.29.2.504617 Sundt, 2000, On error bounds for approximations to multivariate distributions, Insur. Math. Econ., 27, 137, 10.1016/S0167-6687(00)00042-1