Department of Mathematical Statistics, University of the Free State, South Africa.
Math Biosci. 2011 Jul;232(1):20-3. doi: 10.1016/j.mbs.2011.03.012. Epub 2011 Apr 1.
It is well known that the rate of aging is constant for populations described by the Gompertz law of mortality. However, this is true only when a population is homogeneous. In this note, we consider the multiplicative frailty model with the baseline distribution that follows the Gompertz law and study the impact of heterogeneity on the rate of aging in this population. We show that the rate of aging in this case is a function of age and that it increases in (calendar) time when the baseline mortality rate decreases.
众所周知，死亡率遵循戈珀兹定律的人群，其衰老速度是恒定的。然而，这只有在人群是同质的时候才是正确的。在本说明中，我们考虑了具有遵循戈珀兹定律的基线分布的乘法脆弱性模型，并研究了这种人口异质性对衰老速度的影响。我们表明，在这种情况下，衰老速度是年龄的函数，并且当基线死亡率降低时，它随（日历）时间增加。
