This paper presents methods of estimation of the parameters and acceleration factor for Nadarajah–Haghighi distribution based on constant-stress partially accelerated life tests. Based on progressive Type-II censoring, Maximum likelihood and Bayes estimates of the model parameters and acceleration factor are established, respectively. In addition, approximate confidence interval are constructed via asymptotic variance and covariance matrix, and Bayesian credible intervals are obtained based on importance sampling procedure. For comparison purpose, alternative bootstrap confidence intervals for unknown parameters and acceleration factor are also presented. Finally, extensive simulation studies are conducted for investigating the performance of the our results, and two data sets are analyzed to show the applicabilities of the proposed methods.

本文介绍了基于恒应力部分加速寿命试验的 Nadarajah-Haghighi 分布参数和加速因子的估计方法。基于渐进式II型删失，分别建立了模型参数和加速因子的最大似然和贝叶斯估计。此外，通过渐近方差和协方差矩阵构造近似置信区间，并基于重要性抽样程序获得贝叶斯可信区间。为了进行比较，还提供了未知参数和加速因子的替代引导置信区间。最后，进行了广泛的模拟研究以调查我们的结果的性能，并分析了两个数据集以显示所提出方法的适用性。