Taylor Laura L, Peña Edsel A
Elon University, Campus Box 2320, Elon, NC, 27244, USA,
Lifetime Data Anal. 2014 Oct;20(4):514-37. doi: 10.1007/s10985-013-9280-6. Epub 2013 Sep 27.
Nonparametric estimators of component and system life distributions are developed and presented for situations where recurrent competing risks data from series systems are available. The use of recurrences of components' failures leads to improved efficiencies in statistical inference, thereby leading to resource-efficient experimental or study designs or improved inferences about the distributions governing the event times. Finite and asymptotic properties of the estimators are obtained through simulation studies and analytically. The detrimental impact of parametric model misspecification is also vividly demonstrated, lending credence to the virtue of adopting nonparametric or semiparametric models, especially in biomedical settings. The estimators are illustrated by applying them to a data set pertaining to car repairs for vehicles that were under warranty.
针对可获得串联系统复发竞争性风险数据的情况，开发并给出了组件和系统寿命分布的非参数估计量。利用组件故障的复发情况可提高统计推断的效率，从而实现资源高效的实验或研究设计，或改进关于控制事件时间的分布的推断。通过模拟研究和解析方法获得了估计量的有限性质和渐近性质。还生动地展示了参数模型误设的不利影响，这证明了采用非参数或半参数模型的优点，特别是在生物医学环境中。通过将这些估计量应用于一组与在保车辆的汽车维修相关的数据集来说明这些估计量。
