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Modelling Frontier Mortality Using Bayesian Generalised Additive Models Cover

Modelling Frontier Mortality Using Bayesian Generalised Additive Models

Open Access
|Sep 2021

References

  1. Aburto, J.M., F. Villavicencio, U. Basellini, S. Kjærgaard, and J.W. Vaupel. 2020. “Dynamics of life expectancy and life span equality.” Proceedings of the National Academy of Sciences of the United States of America 117 (10): 5250–9. DOI: https://doi.org/10.1073/pnas.1915884117.10.1073/pnas.1915884117707189432094193
  2. Alho, J.M. 2019. “Forecasting Life Expectancy: A Statistical Look at Model Choice and Use of Auxiliary Series.” In Old and New Perspectives on Mortality Forecasting, edited by Tommy Bengtsson and Nico Keilman, 185–95. Springer Open. DOI: https://doi.org/10.1007/978-3-030-05075-7_15.10.1007/978-3-030-05075-7_15
  3. Bengtsson, T. 2019. “Linear Increase in Life Expectancy: Past and Present.” In Old and New Perspectives on Mortality Forecasting, edited by Tommy Bengtsson and Nico Keilman, 221–34. Springer Open. DOI: https://doi.org/10.1007/978-3-030-05075-7_17.10.1007/978-3-030-05075-7_17
  4. Bergeron-Boucher, M.P., V. Canudas-Romo, J. Oeppen, and J.W. Vaupel. 2017. “Coherent forecasts of mortality with compositional data analysis.” Demographic Research 37 (1): 527–66. DOI: https://doi.org/10.4054/DemRes.2017.37.17.10.4054/DemRes.2017.37.17
  5. Bergeron-Boucher, M.P., V. Canudas-Romo, M. Pascariu, and R. Lindahl-Jacobsen. 2018. “Modeling and forecasting sex differences in mortality: a sex-ratio approach.” Genus 74 (1). DOI: https://doi.org/10.1186/s41118-018-0044-8.10.1186/s41118-018-0044-8628085030595608
  6. Biatat, V.D., and I.D. Currie. 2010. “Joint models for classification and comparison of mortality in different countries.” In Proceedings of 25rd International Workshop on Statistical Modelling: 89–94. 5–9 July 2010, Glasgow, UK. Available at: http://www.statmod.org/workshops_archive_proceedings_2010.htm (accessed October 2020).
  7. Bijak, J., D. Kupiszewska, M. Kupiszewski, K. Saczuk, and A. Kicinger. 2007. “Population and labour force projections for 27 European countries, 2002–2052: Impact of international migration on population ageing.” European Journal of Population 23 (1): 1–31. DOI: https://doi.org/10.1007/s10680-006-9110-6.10.1007/s10680-006-9110-6279805020076759
  8. Bohk-Ewald, C., and R. Rau. 2017. “Probabilistic mortality forecasting with varying agespecific survival improvements.” Genus 73 (1): 1–37. DOI: https://doi.org/10.1186/s41118-016-0017-8.10.1186/s41118-016-0017-8523374628133393
  9. Booth, H., R. Hyndman, L. Tickle, and P. de Jong. 2006. “Lee-Carter mortality forecasting: a multi-country comparison of variants and extensions.” Demographic Research 15 (9): 289–310. DOI: https://doi.org/10.4054/DemRes.2006.15.9.10.4054/DemRes.2006.15.9
  10. Booth, H., and L. Tickle. 2008. “Mortality Modelling and Forecasting: A Review of Methods.” Annals of Acturial Science 3 (1–2): 3–43. DOI: https://doi.org/10.1017/S1748499500000440.10.1017/S1748499500000440
  11. Cairns, A.J.G., D. Blake, K. Dowd, G.D. Coughlan, D. Epstein, A. Ong, I. Balevich, D. Coughlan, D. Epstein, and A. Ong. 2009. “A Quantitative Comparison of Stochastic Mortality Models Using Data from England and Wales and the United States.” North American Actuarial Journal 13 (March): 1–35. DOI: https://doi.org/10.1080/10920277.2009.10597538.10.1080/10920277.2009.10597538
  12. Cairns, A.J.G., D. Blake, K. Dowd, G.D. Coughlan, and M. Khalaf-Allah. 2011. “Bayesian stochastic mortality modelling for two populations.” ASTIN Bulletin 41 (1): 29–59. DOI: https://doi.org/10.2143/AST.41.L2084385.
  13. Case, A., and A. Deaton. 2017. “Mortality and morbidity in the 21st century.” Brookings Papers on Economic Activity 2017 (Spring): 397–476. DOI: https://doi.org/10.1353/eca.2017.0005.10.1353/eca.2017.0005564026729033460
  14. Currie, I.D., M. Durban, and P.H.C. Eilers. 2004. “Smoothing and forecasting mortality rates.” Statistical Modelling 4: 279–98. DOI: https://doi.org/10.1191/1471082x04st080oa.10.1191/1471082X04st080oa
  15. Enchev, V., T. Kleinow, and A.J.G. Cairns. 2017. “Multi-population mortality models: fitting, forecasting and comparisons.” Scandinavian Actuarial Journal 2017 (4): 319–42. DOI: https://doi.org/10.1080/03461238.2015.1133450.10.1080/03461238.2015.1133450
  16. Hilton, J., E. Dodd, J. Forster, and P.W.F. Smith. 2019. “Projecting UK Mortality using Bayesian Generalised Additive Models.” Journal of the Royal Statistical Society. Series C 68 (1): 29–49. DOI: https://doi.org/10.1111/rssc.12299.10.1111/rssc.12299
  17. Human Mortality Database. 2019. “Human Mortality Database.” University of California, Berkeley (USA); Max Planck Institute for Demographic Research (Germany). Available at: DOI: http://www.mortality.org/cgi-bin/hmd. (accessed in October 2019).
  18. Hyndman, R.J., H. Booth, and F. Yasmeen. 2013. “Coherent Mortality Forecasting: The Product-Ratio Method with Functional Time Series Models.” Demography 50 (1): 261–83. DOI: https://doi.org/10.1007/s13524-012-0145-5.10.1007/s13524-012-0145-523055234
  19. Hyndman, R.J., and Md. Shahid Ullah. 2007. “Robust forecasting of mortality and fertility rates: A functional data approach.” Computational Statistics and Data Analysis 51 (10): 4942–56. DOI: https://doi.org/10.1016/jxsda.2006.07.028.
  20. Keyfitz, N. 1977. “What difference would it make if cancer were eradicated? An examination of the taeuber paradox.” Demography 14 (4): 411–18. DOI: https://doi.org/10.2307/2060587.10.2307/2060587
  21. Kleinow, T. 2015. “A common age effect model for the mortality of multiple populations.” Insurance: Mathematics and Economics 63. Elsevier B.V.: 147–52. DOI: https://doi.org/10.1016/j.insmatheco.2015.03.023.10.1016/j.insmatheco.2015.03.023
  22. Lang, S., and A. Brezger. 2004. “Bayesian P-Splines.” Journal of Computational and Graphical Statistics 13 (1): 183–212. DOI: https://doi.org/10.1198/1061860043010.10.1198/1061860043010
  23. Lee, R.D., and S. Tuljapurkar. 1994. “Stochastic population forecasts for the United States: beyond high, medium, and low.” Journal of the American Statistical Association 89 (428): 1, 1175–89. DOI: http://www.jstor.org/stable/10.2307/2290980.
  24. Lee, R. 2019. “Mortality Forecasts and Linear Life Expectancy Trends.” In Old and New Perspectives on Mortality Forecasting, edited by Tommy Bengtsson and Nico Keilman, 167–83. Springer Open. DOI: https://doi.org/10.1007/978-3-030-05075-7_14.10.1007/978-3-030-05075-7_14
  25. Lee, R.D, and L.R. Carter. 1992. “Modeling and Forecasting U.S Mortality.” Journal of the American Statistical Association 87 (419): 659–71. Available at: http://www.jstor.org/stable/2290201.10.2307/2290201
  26. Li, N., and R. Lee. 2005. “Coherent mortality forecasts for a group of populations: An extension of the Lee-Carter method.” Demography 42 (3): 575–94. DOI: https://doi.org/10.1353/dem.2005.0021.10.1353/dem.2005.0021135652516235614
  27. Li, N., R. Lee, and P. Gerland. 2013. “Extending the Lee-Carter method to model the rotation of age patterns of mortality decline for long-term projection.” Demography 50 (6): 2037–51. DOI: https://doi.org/10.1007/s13524-013-0232-2.10.1007/s13524-013-0232-2455058923904392
  28. Luy, M. 2003. “Causes of Male Excess Mortality: Insights from Cloistered Populations.” Population and Development Review 29 (4). Blackwell Publishing Ltd.: 647–76. DOI: doi.org/10.1111/j.1728-4457.2003.00647.x.10.1111/j.1728-4457.2003.00647.x
  29. Oeppen, J. 2019. “Life Expectancy Convergence Among Nations Since 1820: Separating the Effects of Technology and Income.” In Old and New Perspectives on Mortality Forecasting, edited by Tommy Bengtsson and Nico Keilman, 197–219. Springer Open. DOI: https://doi.org/10.1007/978-3-030-05075-7_16.10.1007/978-3-030-05075-7_16
  30. Oeppen, J., and J.W. Vaupel. 2002. “Broken Limits to Life Expectancy.” Science 296 (5570): 1029–31. DOI: https://doi.org/10.1126/science.1069675.10.1126/science.106967512004104
  31. Olshansky, S.J., B.A. Carnes, and A. Desesquelles. 2001. “Prospects for Human Longevity.” Science 291 (5508): 1492–2. DOI: https://doi.org/10.1126/science.291.5508.1491.10.1126/science.291.5508.149111234076
  32. Pascariu, M.D., V. Canudas-Romo, and J.W. Vaupel. 2018. “The doublegap life expectancy forecasting model.” Insurance: Mathematics and Economics 78 (2018): 339–50. DOI: https://doi.org/10.1016/j.insmatheco.2017.09.011.10.1016/j.insmatheco.2017.09.011
  33. Raftery, A.E., J.L. Chunn, P. Gerland, and H. Sevcikova. 2013. “Bayesian Probabilistic Projections of Life Expectancy for All Countries.” Demography 50 (3): 777–801. DOI: https://doi.org/10.1007/s13524-012-0193-x.10.1007/s13524-012-0193-x390428923494599
  34. Schinzinger, E., M.M. Denuit, and M.C. Christiansen. 2016. “A multivariate evolutionary credibility model for mortality improvement rates.” Insurance: Mathematics and Economics 69: 70–81. DOI: https://doi.org/10.1016Zj.insmatheco.2016.04.004.10.1016/j.insmatheco.2016.04.004
  35. Stan Development Team. 2019. “Stan Modeling Language Users Guide and Reference Manual.” Available at: DOI: http://mc-stan.org/index.html (accessed in October 2019).
  36. Torri, T., and J.W. Vaupel. 2012. “Forecasting life expectancy in an international context.” International Journal of Forecasting 28 (2): 519–31. DOI: https://doi.org/10.1016/j.ijforecast.2011.01.009.10.1016/j.ijforecast.2011.01.009
  37. Tuljapurkar, S., N. Li, and C. Boe. 2000. “A universal pattern of mortality decline in the G7 countries.” Nature 405 (6788): 789–92. DOI: https://doi.org/10.1038/35015561.10.1038/3501556110866199
  38. Vallin, J., and F. Mesle. 2009. “The segmented trend line of highest life expectancies.” Population and Development Review 35 (1): 159–87. DOI: https://doi.org/10.1111/j.1728-457.2009.00264.x.
  39. Vaupel, J.W. 1986. “How Change in Age-Specific Mortality Affects Life Expectancy.” Population Studies 40 (1): 147–57. DOI: https://doi.org/10.1080/0032472031000141896.10.1080/003247203100014189611611920
  40. Vaupel, J.W., and V. Canudas Romo. 2003. “Decomposing change in life expectancy: A bouquet of formulas in honor of Nathan Keyfitz’s 90th birthday.” Demography 40 (2): 201–16. DOI: https://doi.org/10.2307/3180798.10.2307/3180798
  41. Vaupel, J.W., and V. Canudas Romo. 2000. “How Mortality Improvement Increases Population Growth.” In Optimization, Dynamics, and Economic Analysis: Essays in Honour of Gustav Feichtinger, edited by Engelbert J Dockner, Richard F Hartl, Mikulas Luptacik, and Gerhard Sorger, 345–52. Berlin/Heidelberg: Springer-Verlag. DOI: https://doi.org/10.1007/978-3-642-57684-3_29.10.1007/978-3-642-57684-3_29
  42. Wachter, K.W. 1997. “Between Zeus and the Salmon: Introduction.” In Between Zeus and the Salmon, edited by Kenneth W Wachter and Caleb E Finch. Washington DC: National Academy Press.
  43. Wachter, K.W., D. Steinsaltz, and S.N. Evans. 2014. “Evolutionary shaping of demographic schedules.” Proceedings of the National Academy of Sciences of the United States of America 111 (SUPPL.3): 10846–53. DOI: https://doi.org/10.1073/pnas.1400841111.10.1073/pnas.1400841111411392525024186
  44. Wilson, C. 2001. “On the scale of global demographic convergence, 1950–2000.” Population and Development Review 27 (1): 155–71. DOI: https://doi.org/10.1111/j.1728-4457.2001.00155.x.10.1111/j.1728-4457.2001.00155.x18589488
  45. Wood, S.N. 2006. Generalised Additive Models: An Introduction with R. Boca Raton: Chapman; Hall / CRC Press.
Language: English
Page range: 569 - 589
Submitted on: Nov 1, 2019
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Accepted on: Nov 1, 2020
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Published on: Sep 13, 2021
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2021 Jason Hilton, Erengul Dodd, Jonathan J. Forster, Peter W.F. Smith, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.