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http://dx.doi.org/10.7465/jkdi.2015.26.4.931

Analysis of mortality after death of spouse in relation to duration of bereavement and dependence relation between married couple -using married couples data from survivor's pension of National Pension Service-  

Baek, HyeYoun (Korea Institute for Health and Social Affairs)
Han, Jeonglim (National Pension Research Institute)
Lee, Hangsuck (Department of Actuarial Science/Mathematics, Sungkyunkwan University)
Publication Information
Journal of the Korean Data and Information Science Society / v.26, no.4, 2015 , pp. 931-946 More about this Journal
Abstract
Many multiple life insurance products consider benefits that are contingent on the combined survival status of two lives. To value premiums of the insurance products accurately, we need to consider the impact of the survivorship of one life on another. To show a dependence relation between married couple, we calculate correlation coefficients by using married couples data from National Pension Service and the results show some positive dependence between them. Moreover, by analyzing the death after bereavement, we find a evidence that mortality rates increase after the death of a spouse and, in addition, that this phenomenon, the broken-heart syndrome, diminishes over time. The results of this study can support the method to calculate the premium of multiple life insurance reflecting more realistic joint mortality rates.
Keywords
Death after bereavement; dependence; married couple; multiple life insurance;
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Times Cited By KSCI : 7  (Citation Analysis)
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1 Christakis, N. A. and Allison, P. D. (2006). Mortality after the hospitalization of a spouse. the New England Journal of Medicine, 354, 719-730.   DOI   ScienceOn
2 Elwert, F. and Christakis, N. A. (2008). The effect of widowhood on mortality by the causes of death of both spouses. American Journal of Public Health, 98, 2092-2098.   DOI   ScienceOn
3 Frees, E. W., Carriere, J. F. and Valdez, E. (1996). Annuity valuation with dependent Mortality. Journal of Risk and Insurance, 63, 229-261.   DOI   ScienceOn
4 Han, J. and Lee, H. (2013a). An actuarial structure of income replacement ratio in pensions and individual annuity. Journal of the Korean Data & Information Science Society, 24, 1385-1400.   DOI   ScienceOn
5 Han, J. and Lee, H. (2013b). Estimation of Life Expectancy and Benefit-Cost Analysis of Beneficiaries of National Pension Old-Age Benefit. The Population Association of Korea, 36, 119-143.
6 Holden, K. C., Kim, J. and Novak, B. (2010). Psychological adjustment to widowhood: The role of income, wealth and time . Society of Actuaries and University of Wisconsin-Madison, USA.
7 Hougaard, P. (2000). Analysis of multivariate survival data, Springer, New York.
8 Jagger, C. and Sutton, C. J. (1991). Death after marital bereavement-Is the risk increased? Statistics in Medicine, 10, 395-404.   DOI   ScienceOn
9 Jun, M. S. (1997). Understanding the bootstrap method, Freeacademy, Korea.
10 Jung, S. (2013). The limitation of the public pension and the ways to boost the retirement pension. Journal of The Korean Data Analysis Society, 15, 3409-3420.
11 Klugman, S., Panjer, H. H. and Willmot, G. E. (2010). A loss models: From data to decisions. John Wiley & Sons, Inc., Hoboken, New Jersey.
12 Lee, W. and Ahn, J. Y. (2013). On the Application of Multivariate Kendall's Tau and Its Interpretation. The Korean Journal of Applied Statistics, 26, 495-509.   DOI   ScienceOn
13 Luciano, E., Spreeuw, J. and Vigna, E. (2008). Modelling stochastic mortality for dependent lives. Insurance, Mathematics and Economics, 43, 234-244.   DOI   ScienceOn
14 Martikainen, P. and Valkonen, T. (1996a). Mortality after death of spouse in relation to duration of bereavement in Finland. Journal of Epidemiology and Community Health, 50, 264-268.   DOI
15 Martikainen, P. and Valkonen, T. (1996b). Mortality after the death of a spouse: Rates and causes of death in a large Finnish cohort. American Journal of Public Health, 86, 1087-1093.   DOI
16 Martikainen, P., Martelin, T., Nihtila, E., Majamaa, J. and Koskinen, S. (2005). Differences in mortality by marital status in Finland from 1976 to 2000: Analyses of changes in marital-status distributions, socio-demographic and household composition, and cause of death. Population Studies, 59, 99-115.   DOI   ScienceOn
17 Parkes, C. M., Benjamin, B. and Fitzgerald, R. G. (1969). Broken heart: A statistical study of increased mortality among widowers. British Medical Journal, 1, 740-743.   DOI
18 Rolden, Herbert J. A., van Bodegom, D. and Westendorp, R. G. (2014). Changes in health care expenditure after the loss of a spouse: Data on 6,487 older widows and widowers in the Netherlands. PLos ONE, 9, e115478.   DOI   ScienceOn
19 Ryu, J. H. and Kim, K. (2013). A Study on developing business life table. Journal of The Korean Data Analysis Society, 15, 165-175.
20 Ryu, J. H., Choi, H. and Kim, K. (2014). A study on business life table by regions and industries. Journal of the Korean Data Analysis Society, 16, 667-679.
21 Shin, K. H. (2006). Actuarial Estimates of Disability Pensioners and Survivor Pensioners in the National Pension, National Pension Research Institute, Korea.
22 Shin, S., Son, H. and Lee, H. (2014). The estimation of lifetime income replacement rates, Journal of the Korean Data & Information Science Society, 25, 1315-1331.   DOI   ScienceOn
23 Song, M. and Huh, M. (2002). Mathematical Statistics, Parkyoungsa, Korea.
24 Song, P. and Kim, J. (2012). The correlation and regression analyses based on variable selection of the university evaluation index. Journal of the Korean Data & Information Science Society, 23, 457-465.   DOI   ScienceOn
25 Spreeuw, J. and Owadally, I. (2012). Investigating the Broken-Heart effect: A model for short-term dependence between the remaining lifetimes of joint lives. Annals of Actuarial Science, 7, 236-257.
26 Youn, H., Shemyakin A. and Herman, E. (2002). A re-examination of the joint mortality functions. North American Actuarial Journal, 6, 166-170.   DOI
27 Youn, H. and Shemyakin A. (1999). Statistical aspects of joint life insurance pricing. Proceedings of the business and economic statistics section of the American Statistical Association, 34-38.
28 Youn, H. and Shemyakin A. (2001). Pricing practices for joint last survivor insurance. Actuarial Research Clearing House, 1, 3-14.