竞争风险理论中强度的风险依赖性和可加性示例。
An example on the risk dependence and additivity of intensities in the theory of competing risks.
作者信息
Hakulinen T, Rahiala M
出版信息
Biometrics. 1977 Sep;33(3):557-9.
PMID:911975
Abstract
Let vk(x) be the force of mortality when only risk Rk is acting in a population, and let muk(x) be the force of mortality due to Rk when all of the risks of death are acting, k = 1, ---, c. On the assumption of the independence of the risks of death, the sum of intensitives vk(x) equals the total force of mortality. This example shows that the equality can also hold when the risks of death are dependent and the forces of mortality, muk(x) and vk(x), differ.
摘要
设当风险Rk单独作用于人群时，vk(x)为死亡率；当所有死亡风险都起作用时，设muk(x)为Rk导致的死亡率，k = 1, …, c。在死亡风险相互独立的假设下，强度vk(x)之和等于总死亡率。此例表明，当死亡风险相关且死亡率muk(x)和vk(x)不同时，该等式也可能成立。
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