基于ii型截尾的Marshall-Olkin X型扩展毛刺分布恒应力估计与预测加速寿命试验

R. Refaey
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摘要

本文讨论了基于Marshall-Olkin扩展Burr X型分布的II型截尾抽样的恒应力加速寿命试验。利用极大似然估计方法估计模型参数和加速因子,并考虑对未来序统计量进行双样本预测。进一步讨论了模型参数的渐近置信区间。本文给出了数值研究,并进行了一些有趣的比较来说明理论结果。并将结果应用于实际数据集。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Estimating and Prediction Accelerated Life Test Using Constant Stress for Marshall-Olkin Extended Burr Type X Distribution Based on Type-II Censoring
In this paper constant stress accelerated life tests are discussed based on Type II censored sampling from Marshall-Olkin extended Burr Type X Distribution. The model parameters and the acceleration factor are estimated using the maximum likelihood estimation method and two-sample predictions are considered for future order statistics. Further, the asymptotic confidence intervals for the model parameters are discussed. Numerical study is given, and some interesting comparisons are presented to illustrate the theoretical results. Moreover, the results are applied on real dataset.
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