循环应力加速试验和区间监测下对数正态寿命的稳健检验
Robust tests for log-normal lifetimes under cyclic-stress accelerated tests and interval monitoring
- UNED（西班牙国立远程教育大学）
- Complutense University of Madrid（马德里康普顿斯大学）
- Newcastle University（纽卡斯尔大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
针对循环应力加速寿命试验中对数正态寿命数据，提出基于加权最小密度功率散度估计量的稳健Wald型和Rao型检验，以抵抗异常计数污染，保持显著性水平并具有良好功效。
AI中文摘要：
某些产品本质上设计为在反复循环于两个水平之间的应力条件下运行，例如经历反复充放电的电池，或暴露于周期性热循环或压力循环的部件。当此类产品在加速条件下进行测试时，所施加的应力自然以相同的循环方式升高，而不是保持恒定或单步增加。循环应力加速寿命试验（CyALT）通过在指定水平之间交替施加应力来反映这一点。单元通常仅在固定时间进行检查，因此数据由区间失效计数而非精确寿命组成。假设检验在此设置中起着关键作用。它可以评估所施加的应力是否显著影响寿命，或验证用于设计实验的参数值。经典检验依赖于极大似然估计量，该估计量对污染高度敏感。由于区间概率是在各应力条件下联合估计的，单个异常的失效计数可能会扭曲整个参数向量，并严重影响检验的显著性水平和功效。本文针对区间监测下的对数正态CyALT寿命，基于加权最小密度功率散度估计量，开发了Wald型和Rao型检验统计量。两种检验均针对简单和复合原假设推导。蒙特卡洛研究表明，经典检验在污染下迅速失去对显著性水平的控制，而稳健检验在干净数据下保持接近名义水平，仅损失适度的功效。对空调蒸发器寿命数据的应用进一步说明了所提出的检验。
英文摘要：
Some products are, by nature, designed to operate under stress conditions that repeatedly cycle between two levels, such as batteries undergoing repeated charge and discharge, or components exposed to recurring thermal or pressure cycles. When such products are tested under accelerated conditions, the applied stress is naturally elevated in the same cyclic manner rather than held constant or increased in a single step. Cyclic-stress accelerated life testing (CyALT) reflects this by alternating the applied stress between specified levels. Units are often inspected only at fixed times, so the data consist of interval failure counts rather than exact lifetimes. Hypothesis testing plays a crucial role in this setting. It can assess whether the applied stress significantly affects lifetime, or validate the parameter values used to design the experiment. Classical tests rely on the maximum likelihood estimator, which is highly sensitive to contamination. Since interval probabilities are estimated jointly across stress conditions, a single anomalous failure count can distort the entire parameter vector and severely affect the test's significance level and power. This paper develops Wald-type and Rao-type test statistics for log-normal CyALT lifetimes under interval monitoring, based on the weighted minimum density power divergence estimator. Both tests are derived for simple and composite null hypotheses. A Monte Carlo study shows that classical tests lose control of the significance level rapidly under contamination, while the robust tests stay close to nominal with only a modest loss of power under clean data. An application to air-conditioner evaporator lifetime data further illustrates the proposed tests.
