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首页> 外文期刊>Journal of statistical computation and simulation >Statistical inference based on progressively type-Ⅱ censored data from the Burr X distribution under progressive-stress accelerated life test
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Statistical inference based on progressively type-Ⅱ censored data from the Burr X distribution under progressive-stress accelerated life test

机译：基于逐步型-Ⅱ的统计推断从渐进式压力加速寿命测试下的毛刺X分布中的审查数据

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摘要

In this article, estimation problems for the Burr X distribution under a progressive-stress accelerated life test with progressive type-II censoring are studied. The stress is assumed to be a linearly increasing function of time. The inverse power law and the cumulative exposure model are considered. The classical and Bayesian estimations for the model parameters are obtained by using maximum likelihood method and Markov chain Monte Carlo technique,respectively. The asymptotic confidence intervals are constructed and highest posterior density intervals are also established. A simulation study is conducted to investigate the performance of the proposed point and interval estimations. Finally, a real data set is analysed for illustration.
机译：在本文中，研究了渐进式 - II审查的渐进式压力加速寿命试验下BURR X分布的估计问题。假设应力是线性增加的时间函数。考虑逆动力法和累积曝光模型。通过使用最大似然法和马尔可夫链蒙特卡罗技术获得模型参数的经典和贝叶斯估计。构造渐近置信区间，并且还建立了最高的后密度间隔。进行了仿真研究以调查所提出的点和间隔估计的性能。最后，分析了一个真实的数据集以供插图。

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