The Stratified Sampling Bootstrap for Measuring the Uncertainty in Mortality Forecasts

Methodology and Computing in Applied Probability

Volumn 14, Issue 1, 2012, Pages 135-148

  D'Amato, Valeria ^a   Haberman, Steven ^b   Russolillo, Maria ^a  

^a UNIVERSITY OF SALERNO   (Italy)

^b CITY UNIVERSITY   (United Kingdom)

Author keywords

Bootstrap; Lee Carter model; Mortality forecasting; Stratified sampling; Variance reducing techniques

Indexed keywords

EID: 84942303236     PISSN: 13875841     EISSN: 15737713     Source Type: Journal    
DOI: 10.1007/s11009-011-9225-z     Document Type: Article

References (22)

1. Booth H, Maindonald J, Smith L (2002) Applying Lee-Carter under conditions of variable mortality decline. Popul Stud 56: 325-336.
2. Brillinger DR (1986) The natural variability of vital rates and associated statistics. Biometrics 42: 693-734.
3. Brouhns N, Denuit M, Vermunt JK (2002a) A Poisson log-bilinear approach to the construction of projected lifetables. Insur Math Econ 31: 373-393.
4. Brouhns N, Denuit M, Vermunt JK (2002b) Measuring the longevity risk in mortality projections. Bull Swiss Assoc Actuaries 2: 105-130.
5. Brouhns N, Denuit M, van Keilegom I (2005) Bootstrapping the Poisson log-bilinear model for mortality forecasting. Scand Actuar J 3: 212-224.
6. D'Amato V, Haberman S, Russolillo M (2009) Efficient bootstrap applied to the Poisson Log-Bilinear Lee Carter Model. Applied Stochastic Models and Data Analysis-ASMDA 2009 Selected Papers, ISBN 978-9955-28-463-5.
7. Efron B, Tibshirani RJ (1993) An introduction to the bootstrap. Chapman & Hall, New York & London.
8. England P, Verrall R (1999) Analytic and bootstrap estimate of prediction errors in claims reserving. Insur Math Econ 25: 281-293.
9. Hoedemakers T, Beirlant J, Goovaerts M, Dhaene J (2003) Confidence bounds for discounted loss reserves. Insur Math Econ 33: 297-316.
10. Human Mortality Database. University of California, Berkeley (USA), and Max Planck Institute for Demographic Research (Germany). Available at www. mortality. org or www. humanmortality. de (data downloaded on [date]).
11. Hyndman RJ, Ullah S (2005) Robust forecasting of mortality and fertility rates: a functional data approach. Working paper, Department of Econometrics and Business Statistics, Monash University. http://www-personal. buseco. monash. edu. au/~hyndman/papers/funcfor. htm.
12. Koissi MC, Shapiro AF, Hognas G (2006) Evaluating and extending the Lee-Carter model for mortality forecasting: bootstrap confidence interval. Insur Math Econ 26: 1-20.
13. Lee RD, Carter LR (1992) Modelling and forecasting U. S. mortality. J Am Stat Assoc 87: 659-671.
14. McLeish DL (2005) Monte Carlo methods in finance. Wiley Finance.
15. Melnikov A, Romaniuk Y (2006) Evaluating the performance of Gompertz, Makeham and Lee-Carter mortality models for risk management. Insur Math Econ 39: 310-329.
16. Pitacco E, Denuit M, Haberman S, Olivieri A (2009) Modelling longevity dynamics for pensions and annuity business. Oxford University Press.
17. Renshaw AE, Haberman S (2003a) Lee-Carter mortality forecasting: a parallel generalised linear modelling approach for England and Wales mortality projections. Appl Stat 52: 119-137.
18. Renshaw AE, Haberman S (2003b) On the forecasting of mortality reduction factors. Insur Math Econ 32: 379-401.
19. Renshaw AE, Haberman S (2003c) Lee-Carter mortality forecasting with age specific enhancement. Insur Math Econ 33: 255-272.
20. Renshaw AE, Haberman S (2008) On simulation-based approaches to risk measurement in mortality with specific reference to Poisson Lee-Carter modelling. Insur Math Econ 42: 797-816.
21. Ross S (2002) Simulation. Hartcourt Academic Press.
22. Willets RC (2004) The cohort effect: insights and explanations. Br Actuar J 10(4).