Manton K G, Stallard E, Vaupel J W
J Am Stat Assoc. 1986 Sep;81(395):635-44. doi: 10.1080/01621459.1986.10478316.
The authors examine how sensitive the estimates of heterogeneity in the mortality risks in a population are to the choices of two types of function, "one describing the age-specific rate of increase of mortality risks for individuals and the other describing the distribution of mortality risks across individuals." U.S. data from published Medicare mortality rates for the period 1968-1978 are used to analyze total mortality among the aged. "In addition, national vital statistics data for the period 1950-1977 were used to analyze adult lung cancer mortality. For these data, the estimates of structural parameters were less sensitive to reasonable choices of the heterogeneity distribution (gamma vs. inverse Gaussian) than to reasonable choices of the hazard rate function (Gompertz vs. Weibull)."
作者研究了人群中死亡率风险异质性估计对两种函数选择的敏感程度,“一种描述个体死亡率风险的年龄特异性增长率,另一种描述个体间死亡率风险的分布”。利用1968 - 1978年已发表的医疗保险死亡率的美国数据来分析老年人的总死亡率。“此外,1950 - 1977年期间的国家生命统计数据用于分析成人肺癌死亡率。对于这些数据,结构参数的估计对异质性分布(伽马分布与逆高斯分布)的合理选择不如对风险率函数(冈珀茨分布与威布尔分布)的合理选择敏感。”