Link functions of distributional and model parameters, such as linear, log-linear, or inverse linear functions, are commonly utilized in accelerated life testing to include expert knowledge and to reduce the number of unknown parameters. Although, there might be some evidence in choosing a specific link function in the analysis of an experiment, it should be verified by data. In a constant stress test with only a few different stress levels, a verification is impossible or at least problematic. On the other hand, there are technical as well as statistical arguments against a large number of lifetime experiments under different stress levels. Thus, a compromise is needed. In constant-stress tests with type-II censored exponentially distributed lifetimes, leading to a scale-accelerated failure time model, statistical tests concerning a link function are provided, and an experimental setup is proposed in this article, which allows for validating the particular choice of a link function via a regression approach. The procedure is illustrated by a data set known from the reliability literature as well as by simulations.

中文翻译：

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II 型删失恒应力实验中链接函数假设的验证


分布和模型参数的链接函数（例如线性、对数线性或逆线性函数）通常用于加速寿命测试，以包含专家知识并减少未知参数的数量。尽管在实验分析中选择特定的链接函数可能有一些证据，但应该通过数据来验证。在只有几个不同压力水平的恒定压力测试中，验证是不可能的或至少是有问题的。另一方面，在不同应力水平下进行的大量寿命实验也存在技术和统计方面的争论。因此，需要做出妥协。在具有 II 型删失指数分布寿命的恒定应力测试中，产生了规模加速失效时间模型，提供了有关链接函数的统计测试，并在本文中提出了一种实验设置，该设置允许验证特定选择通过回归方法建立链接函数。该过程通过可靠性文献中已知的数据集以及模拟来说明。