In the present paper we elaborate thoroughly the dynamic evolutions of all ages( 0- 100 +years old) mortality rates and all ages life expectancy for male,female and total population respectively for China mainland 1994- 2060 and Taiwan province 1970- 2060,based on three applications of Lee-Carter model,i.e. fitting and forecasting all ages mortality rates,calculating all ages life expectancy,and constructing dynamic life tables. We further discuss the effectiveness of the forecasted results in Lee-Carter model,with sufficient mortality data in Taiwan province and limited mortality data in China mainland. The study results show that the mortality improvements and increases of life expectancy of female are significantly higher than those of male,and this difference in gender will continue consistently in the next 50 years. The differences of both the mortality rates and life expectancy of all ages have obviously been narrowing between China mainland and Taiwan province,and the mortality rates will show the tendency of convergence development in the future for male and female. This convergence can provide some theoretical basis for quantification and management of China's longevity risks,for formulation and improvement of related policies,and for design and optimization of system.
|
[1] LEE R D, CARTER L R. Modeling and forecasting U. S. mortality [J]. Journal of the American Statistical Association, 1992, 419: 659-671.
[2] BROUHNS N, DENUIT M, VERMUNT J K. A poisson log-bilinear regression approach to the construction of projected life tables [J]. Insurance: Mathematics and Economics, 2002 (3): 373-393.
[3] BROUHNS N, DENUIT M, VAN K I. Bootstrapping the poisson log-bilinear model for mortality forecasting [J]. Scandinavian Actuarial Journal, 2005 (3): 212-224.
[4] COSSETTE H, DENUIT A, DENUIT M, GUILLOT F, MARCEAU E. Pension plan valuation and mortality projection: a case study with mortality data [J]. North American Actuarial Journal, 2007 (1): 1-34.
[5] DELWARDE A, DENUIT M, PARTRAT C. Negative binomial version of the Lee-Carter Model for mortality forecasting [J]. Applied Stochastic Models and Data Analysis, 2007 (5): 385-401.
[6] RENSHAW A E, HABERMAN S. Lee-Carter mortality forecasting with age-specific enhancements [J]. Insurance: Mathematics and Economics, 2003 (2): 255-272.
[7] RENSHAW A E, HABERMAN S. A Cohort-based extension to the Lee-Carter Model for mortality reduction factors [J]. Insurance: Mathematics and Economics, 2006 (3): 556-570.
[8] CAIRNS A J G, BLAKE D, DOWD K. A Two-factor Model for stochastic mortality with parameter uncertainty: theory and calibration [J]. Journal of Risk and Insurance, 2006 (4): 687-718.
[9] CAIRNS A J G, BLAKE D, DOWD K, COUGHLAN G D, EPSTEIN D, ONG A, BALEVICH I. A quantitative comparison of stochastic mortality models using data from England and Wales and the United States [J]. North American Actuarial Journal, 2009 (1): 1-35.
[10] HABERMAN S, RENSHAW A E. On age-period-cohort parametric mortality rate projections [J]. Insurance: Mathematics and Economics, 2009 (2): 255-270.
[11] 王建平, 涂肇庆. 香港人口死亡率演变及其未来发展[J]. 人口研究, 2003 (5): 63-72.
[12] 任强, 游允中, 郑晓瑛, 宋新明, 陈功. 20 世纪80 年代以来我国人口死亡的水平?模式及区域差异[J]. 中国人口科学, 2004 (3): 19-29.
[13] 明艳. 我国婴儿死亡率的变动趋势及区域差异研究[J]. 人口研究, 2009 (5): 77-87.
[14] 李志生, 刘恒甲. Lee-Carter 死亡率模型的估计与应用—基于我国人口数据的分析[J]. 中国人口科学, 2010 (3): 46-56.
[15] 王晓军, 黄顺林. 中国人口死亡率随机预测模型的比较与选择[J]. 人口与经济, 2011 (1): 82-86.
[16] POLLARD J H. The expectation of life and its relationship to mortality [J]. Journal of the Institute of Actuaries, 1982 (2): 225-240.
[17] ARRIAGA E E. Measuring and explaining the change in life expectancies [J]. Demography, 1984 (1): 83-96.
[18] 彭非, 封婷. 两种平均预期寿命差异分解模型的比较研究[J]. 人口研究, 2011 (3): 97-105.
[19] 苟晓霞. “人均预期寿命提高1 岁” 的实证研究[J]. 人口与经济, 2012 (3): 45-50.
[20] 王晓军, 米海杰. 中国人口死亡率改善水平比较分析[J]. 统计研究, 2013 (2): 58-63.
|