In this paper, we investigate accelerated life testing (ALT) models based on the Weibull distribution with stress-dependent shape and scale parameters. Temperature and voltage are treated as stress variables influencing the lifetime distribution. Data are assumed to be collected under Progressive Hybrid Censoring (PHC) and Adaptive Progressive Hybrid Censoring (APHC). A two-step estimation framework is developed. First, the Weibull parameters are estimated via maximum likelihood, and the consistency and asymptotic normality of the estimators are established under both censoring schemes. Second, the resulting parameter estimates are linked to the stress variables through a regression model to quantify the stress-lifetime relationship. Extensive simulations are conducted to examine finite-sample performance under a range of parameter settings, and a data illustration is also presented to showcase practical relevance. The proposed framework provides a flexible approach for modeling stress-dependent reliability behavior in ALT studies under complex censoring schemes.

翻译：本文研究了基于威布尔分布的加速寿命试验模型，其中形状参数和尺度参数均与应力相关。温度和电压被视为影响寿命分布的应力变量。假设数据在渐进混合删失和自适应渐进混合删失机制下收集。我们提出了一个两阶段估计框架：首先，通过极大似然法估计威布尔参数，并在两种删失方案下证明了估计量的一致性和渐近正态性；其次，通过回归模型将所得参数估计值与应力变量关联，以量化应力-寿命关系。通过大量模拟实验检验了不同参数设置下的有限样本性能，并提供了数据实例以展示实际应用价值。该框架为复杂删失机制下加速寿命试验中应力相关可靠性行为的建模提供了一种灵活的方法。