Somerville Kevin, Francombe Paula
Strategy & Global Clients, Swiss Re Life & Health Ltd, 30 St Mary Axe, London EC3A 8EP, UK.
J Insur Med. 2005;37(1):13-9.
The effect of the elimination of mortality from heart disease and cancer was modelled mathematically to allow for the effect of other competing causes of death. The model allows for potential dependence between heart disease or cancer and other causes of death by using cupola functions, which analyse the individual risk itself and the dependence structure between causes of death by using correlation coefficients. As the strength of these risk associations is unknown, the study investigated both full positive and negative dependence and compared this with no dependence. Depending upon the degree and type of correlation assumed, positive or negative, the life expectancy at birth is increased by between 3 months and 6.5 years if cancer mortality was eliminated, and between 5 months and 7.5 years in the case of heart disease. In addition, estimates of these effects on life insurance premia can be made with the greatest reduction for women with the elimination of cancer mortality. These figures provide a range of improvements in life expectancy and the consequent effect on life insurance risk premium rates which elimination of either of these important diseases would produce.
对消除心脏病和癌症导致的死亡率的影响进行了数学建模,以考虑其他竞争性死亡原因的影响。该模型通过使用冲天炉函数来考虑心脏病或癌症与其他死亡原因之间的潜在依赖性,冲天炉函数通过使用相关系数来分析个体风险本身以及死亡原因之间的依赖结构。由于这些风险关联的强度未知,该研究调查了完全正相关和负相关,并将其与无相关性进行比较。根据假设的相关程度和类型(正相关或负相关),如果消除癌症死亡率,出生时的预期寿命将增加3个月至6.5年;如果消除心脏病死亡率,预期寿命将增加5个月至7.5年。此外,可以对这些对人寿保险保费的影响进行估计,消除癌症死亡率对女性的影响最大。这些数字提供了预期寿命的一系列改善以及消除这两种重要疾病中的任何一种将对人寿保险风险保费率产生的相应影响。