Finkelstein Maxim
Department of Mathematical Statistics, University of the Free State, South Africa.
Theor Popul Biol. 2012 Jun;81(4):292-9. doi: 10.1016/j.tpb.2012.01.005. Epub 2012 Jan 27.
We consider hazard (mortality) rates in heterogeneous populations consisting of ordered (in the defined stochastic sense) subpopulations. This setting can be interpreted via the fixed frailty models with one or more frailty parameters. The shape of the hazard rate is of main interest in this paper. Specifically, the deceleration and leveling off in the hazard rates (mortality plateaus) are discussed and some examples of lifetime distributions that can result in asymptotically flat hazard rates are considered. These examples are based on vitality models when an organism's initial vitality (resource) is 'consumed' in the course of life in accordance with a simple stochastic process (e.g., the Wiener process with drift or the gamma process).
我们考虑由有序（在定义的随机意义上）子群体组成的异质群体中的风险（死亡率）率。这种情况可以通过具有一个或多个脆弱性参数的固定脆弱性模型来解释。风险率的形状是本文的主要关注点。具体而言，讨论了风险率的减速和平缓（死亡率平台期），并考虑了一些可能导致渐近平坦风险率的寿命分布示例。这些示例基于活力模型，即当生物体的初始活力（资源）在生命过程中按照简单的随机过程（例如，带漂移的维纳过程或伽马过程）“消耗”时的情况。
