论文标题
推断具有II型和渐进式II型审查和对数正态分布的寿命的继压模型的推断
Inference for a Step-Stress Model With Type-II and Progressive Type-II Censoring and Lognormally Distributed Lifetimes
论文作者
论文摘要
加速生命测试（ALT）是一种非常有用的技术，用于检查高度可靠的产品的可靠性。它允许在高于通常的压力条件下测试产品，以比典型条件更快，更经济地诱导故障。 ALT的一种特殊情况是继压测试，使实验者可以在固定时间增加应力水平。本文在累积暴露模型下处理了多个台阶压力模型，在存在类型II和渐进型II审查的情况下，具有对数正态分布的生命值。对于此模型，得出了其参数的最大似然估计（MLE）以及相应的观察到的Fisher Information矩阵（FI）。可能性方程不会导致MLE的闭合形式表达式，并且需要通过迭代过程（例如Newton-Raphson方法）来解决它们。然后，我们评估估计值的偏差和平方误差，并提供渐近和自举置信区间。最后，为了评估置信区间的性能，进行了蒙特卡洛模拟研究。
Accelerated life-testing (ALT) is a very useful technique for examining the reliability of highly reliable products. It allows testing the products at higher than usual stress conditions to induce failures more quickly and economically than under typical conditions. A special case of ALT are step-stress tests that allow experimenter to increase the stress levels at fixed times. This paper deals with the multiple step step-stress model under the cumulative exposure model with lognormally distributed lifetimes in the presence of Type-II and Progressive Type-II censoring. For this model, the maximum likelihood estimates (MLE) of its parameters, as well as the corresponding observed Fisher Information Matrix (FI), are derived. The likelihood equations do not lead to closed-form expressions for the MLE, and they need to be solved by means of an iterative procedure, such as the Newton-Raphson method. We then evaluate the bias and mean square error of the estimates and provide asymptotic and bootstrap confidence intervals. Finally, in order to asses the performance of the confidence intervals, a Monte Carlo simulation study is conducted.
