Indonesian National Mortality Rates using the Whittaker-Henderson Graduation Method
Abstract
Keywords
Full Text:
DOWNLOAD [PDF]References
Agustina, R.; Dartanto, T.; Sitompul, R.; Susiloretni, K. A.; Suparmi, M.K.M.; Achadi, E. L.; Taher, A.; Wirawan, F.; Sungkar, S.; Sudarmono, P.; Shankar, A.H.; Thabrany, H. (2018). Universal Health Coverage in Indonesia: Concept, Progress, and Challenges. The Lancet, 393(10166), 75–102. https://doi.org/10.1016/s0140-6736(18)31647-7
Ahmadi, S.; Li, J. S.-H. (2014). Coherent Mortality Forecasting with Generalized Linear Models: A Modified Time-Transformation Approach. Insurance: Mathematics and Economics, 59(1), 194–221. https://doi.org/10.1016/j.insmatheco.2014.09.007
Alexopoulos, A.; Dellaportas, P.; Forster, J. J. (2019). Bayesian Forecasting of Mortality Rates by Using Latent Gaussian Models. Journal of the Royal Statistical Society Series A: Statistics in Society, 182(2), 689–711. https://doi.org/10.1111/rssa.12422
Asamoah Owusu, D.; S. K. Appiah, S.K.; Danso, A. A. A. (2019). Estimating Exposures for a Mortality Study of a National Pension Scheme. Journal of Mathematical and Statistical Analysis, 2(2), 204. https://article.scholarena.com/Estimating-Exposures-for-a-Mortality-Study-of-a-National-Pension-Scheme.pdf
Cantiello, J.; Fottler, M. D.; Oetjen, D.; Zhang, N. J. (2015). The Impact of Demographic and Perceptual Variables on A Young Adult’s Decision to Be Covered by Private Health Insurance. BMC Health Services Research, 15(1), 1–15. https://doi.org/10.1186/s12913-015-0848-6
Chanco, M. E. (2016). Mortality Rates Estimation Using Whittaker-Henderson Graduation Technique. Journal of the Mathematical Society of the Philippines, 39(1), 7–16. https://mathsociety.ph/matimyas/images/vol39/ChancoM-Matimyas.pdf
Chapra, S. (2018). Applied Numerical Methods with MATLAB for Engineers and Scientists (5th ed). McGraw-Hill. https://www.mheducation.com/highered/product/applied-numerical-methods-matlab-engineers-scientists-chapra/M9781264162604.html
Dickson, D.C.M.; Hardy, M.R.; Waters, H. R. (2020). Actuarial Mathematics for Life Contingent Risks. Cambridge University Press. https://assets.cambridge.org/97811084/78083/frontmatter/9781108478083_frontmatter.pdf
Dzupire, N. C.; Gunde, R.; Chirwa, P. B. (2024). Constructing Malawian Ordinary Actuarial Tables: Reflection of the COVID-19 Era. African Journal of Education, 7(4), 107–115. https://doi.org/10.2022/ajest.v7i4.1029
Ferezagia, D. V. (2018). The Dynamics of Life-Insurance Penetration in ASEAN Countries. International Journal of Basic & Applied Sciences, 18(4), 15–19. https://www.academia.edu/65774776/The_Dynamics_of_Life_Insurance_Penetration_in_ASEAN_Countries?hb-sb-sw=26972707
Hainaut, D. (2018). A Neural-Network Analyzer for Mortality Forecast. ASTIN Bulletin: The Journal of the IAA, 48(2), 481–508. https://doi.org/10.1017/asb.2017.45
Hodson, T. O. (2022). Root-mean-square error (RMSE) or mean absolute error (MAE): when to use them or not. Geoscientific Model Development, 15(14), 5481–5487. https://doi.org/10.5194/gmd-15-5481-2022
Joseph, A. W. (1952). The Whittaker-Henderson method of graduation. Journal of the Institute of Actuaries, 78(1), 99–114. https://doi.org/10.1017/S0020268100052495
Kong, Q.; Siaw, T.; Bayen, A. Y. (2020). Python programming and numerical methods: A guide for engineers and scientists. Addison-Wesley. https://pythonnumericalmethods.studentorg.berkeley.edu/notebooks/Index.html
Lan, T. T. (2022). Risk Awareness for Vietnamese’s Life Insurance on Financial Protection: The Case Study of Daklak Province, Vietnam. International Journal of Financial Studies, 10(4), 84. https://doi.org/10.3390/ijfs10040084
Liu, Y; Li, J. S. H. (2017). The Locally Linear Cairns–Blake–Dowd Model: A Note on Delta–Nuga Hedging of Longevity Risk. ASTIN Bulletin: The Journal of the IAA, 47(1), 79–151. https://doi.org/10.1017/asb.2016.33
London, D. (1997). Survival Models and Their Estimation (3rd ed). ACTEX Publications, Inc. https://www.studocu.com/id/document/universitas-riau/matematika-aktuaria-2/survival-models/46312749
Macdonald, A.S.; Richards, S.J.;Currie, I. D. (2018). Modelling Mortality with Actuarial Applications. Cambridge University Press. https://doi.org/10.1017/9781107051386
Manejero, J. L.; Mendoza, R. (2020). Variational Approach to Data Graduation. Philippine Journal of Science, 149(2), 431–450. https://philjournalsci.dost.gov.ph/images/pdf/pjs_pdf/vol149no2/variational_approach_to_data_graduation_.pdf
Nazhifa, A. . R. A. B. (2022). The influence of economic conditions on the penetration and density of life insurance companies in Indonesia for the period 2016–2020. In Sustainable Future: Trends, Strategies and Development. Routledge. https://doi.org/10.1201/9781003335832-37
Nigri, A.; Levantesi, S.; Marino, M.; Scognamiglio, S.; Perla, F. (2019). A Deep Learning Integrated Lee–Carter Model. Risks, 7(1), 33. https://doi.org/10.3390/risks7010033
Odhiambo, J.; Weke, P.; Ngare, P.; Naryongo, R.; Sewe, S. (2022). Poisson incorporated credibility regression modelling of systematic mortality risk for populations with finite data. Mathematical Problems in Engineering, 1(1), 1–14. https://doi.org/10.1155/2022/1753542
Odhiambo, J. O. (2023). Deep Learning Incorporated Bühlmann Credibility in the Modified Lee–Carter Mortality Model. Mathematical Problems in Engineering, 1(1), 1–8. https://doi.org/10.1155/2023/8543909
Organization, W. H. (2023). Data Collection and Analysis Tools. World Health Organization.
Perdana, N. R.; Adhasari, G.; Mahadewi, E. P. (2022). Challenges and Implementation of Universal Health Coverage Program in Indonesia. International Journal of Health and Pharmaceutical, 2(3), 589–596. https://doi.org/10.51601/ijhp.v2i3.97
Pisani, E.; Olivier Kok, M.; Nugroho, K. (2017). Indonesia’s road to universal health coverage: a political journey. Health Policy and Planning, 32(2), 267–276. https://doi.org/10.1093/heapol/czw120
Safitri, K. A. (2019). The contribution of life and non-life insurances on ASEAN economic growth. Management Science Letters, 9(1), 957–966. https://doi.org/10.5267/j.msl.2019.4.009
Schultz, T. P. (1993). Mortality decline in the low-income world: causes and consequences. The American Economic Review, 83(2), 337–342. https://www.jstor.org/stable/2117687
Şenol, Z.; Zeren, F.; Canakci, M. (2020). The relationship between insurance and economic growth. Montenegrin Journal of Economics, 16(4), 145–155. https://doi.org/10.14254/1800-5845/2020.16-4.12
Suwondo, A.; Munandar, A.; Jamil, A.R.;Ridwan, M.;Pebrianto, P.S.; Supriatni, Y.; Dwihapsari, P.M.; Fahmi, M.A.;Kosasih, N.;Elviroza, R.; Hadiwibowo, B.; Yogo, H.D.; Pasaribu, T.; Sianturi, M.; Pertiwi, R.A.; Demus, N.; Hadi, N.; Ubadah; Kalla, Y.H.; Jala, B. . F. (2019). Tabel Mortalitas Indonesia IV.
Whittaker, E. T. (1922). On a new method of graduation. Proceedings of the Edinburgh Mathematical Society, 41(1), 63–75. https://doi.org/10.1017/S0013091500077853
Woolhandler, S.; Himmelstein, D. U. (2017). The Relationship of Health Insurance and Mortality: Is Lack of Insurance Deadly? Annals of Internal Medicine, 167(6), 424–431. https://doi.org/10.7326/M17-1403
DOI: https://doi.org/10.31764/jtam.v8i4.26316
Refbacks
- There are currently no refbacks.
Copyright (c) 2024 Gabrielle Aretha Setiady, Felivia Kusnadi
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
_______________________________________________
JTAM already indexing:
_______________________________________________
JTAM (Jurnal Teori dan Aplikasi Matematika) |
_______________________________________________
_______________________________________________
JTAM (Jurnal Teori dan Aplikasi Matematika) Editorial Office: