标题： 非破坏性一次性设备测试在步进应力模型下指数寿命的受限最小密度幂发散估计量 显示英文标题

标题： The restricted minimum density power divergence estimator for non-destructive one-shot device testing the under step-stress model with exponential lifetimes

摘要： 一次性设备数据代表区间右删失的极端情况。某些一次性单元在测试时不会被破坏，因此生存单元可以在测试中继续提供关于其寿命的额外信息。此外，一次性设备在正常运行条件下可能持续很长时间，因此可以使用加速寿命试验（ALTs）进行推断。ALTs通过对数线性关系将单元的寿命分布与其测试时的应力水平相关联。在测试中，通过增加应力水平可以减少设备的平均寿命，且在较高应力水平下的推断结果可以很容易地外推到正常运行条件。特别是，步进应力ALT模型在寿命测试实验中逐渐在预设时间增加应力水平，这可能对非破坏性一次性设备特别有利。然而，当测试的单元数量较少时，异常数据可能会极大地影响参数估计。在本文中，我们基于密度幂发散（DPD）在直线限制子空间下开发了稳健的受限估计量，用于在具有指数寿命分布的步进应力ALTs下的非破坏性一次性设备。我们理论上研究了受限估计量的渐近性和稳健性，并通过模拟研究实证说明了这些性质。 显示英文摘要

摘要： One-shot devices data represent an extreme case of interval censoring.Some kind of one-shot units do not get destroyed when tested, and so, survival units can continue within the test providing extra information about their lifetime. Moreover, one-shot devices may last for long times under normal operating conditions, and so accelerated life tests (ALTs) may be used for inference. ALTs relate the lifetime distribution of an unit with the stress level at which it is tested via log-linear relationship.Then, mean lifetime of the devices are reduced during the test by increasing the stress level and inference results on increased stress levels can be easily extrapolated to normal operating conditions. In particular, the step-stress ALT model increases the stress level at pre-fixed times gradually during the life-testing experiment, which may be specially advantageous for non-destructive one-shot devices. However, when the number of units under test are few, outlying data may greatly influence the parameter estimation. In this paper, we develop robust restricted estimators based on the density power divergence (DPD) under linearly restricted subspaces, for non-destructive one-shot devices under the step-stress ALTs with exponential lifetime distributions. We theoretically study the asymptotic and robustness properties of the restricted estimators and we empirically illustrate such properties through a simulation study.