In this paper, reliability estimation of multicomponent system under a multilevel accelerated life testing. When the lifetime of components follows Weibull distribution, the problem of point and interval estimates are discussed from different perspectives. Under a general life-stress assumption that there are multiple nonconstant and stress-dependent scale and shape parameters, the maximum likelihood estimates of unknown parameters along with associated existence and uniqueness are established. Approximate confidence intervals are constructed correspondingly via expected Fisher information matrix. Furthermore, some pivotal quantities are constructed and alternative generalized point and interval estimates are also proposed for comparison. In addition, predictive intervals for the lifetime of the multicomponent system are discussed under classical and generalized pivotal approaches, respectively. The results show that the proposed generalized estimates are superior to the conventional likelihood approach in terms of the accuracy. A real data example is carried out to illustrate the implementations of the proposed methods.

中文翻译：

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具有来自加速寿命数据的应力相关参数的威布尔多组分系统的可靠性分析

本文对多级加速寿命试验下多组分系统的可靠性进行了估算。当组件的寿命遵循威布尔分布时，从不同的角度讨论点估计和区间估计的问题。在存在多个非恒定和应力相关的尺度和形状参数的一般生活压力假设下，建立了未知参数的最大似然估计以及相关的存在性和唯一性。通过预期的 Fisher 信息矩阵相应地构建近似置信区间。此外，还构建了一些关键量，并提出了替代的广义点和区间估计以进行比较。此外，分别在经典和广义关键方法下讨论了多组件系统寿命的预测区间。结果表明，所提出的广义估计在准确性方面优于传统的似然方法。进行了一个真实的数据示例来说明所提出方法的实现。