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首页> 外文期刊>International Journal of Statistics and Probability >Accelerated Life Test Sampling Plans under Progressive Type II Interval Censoring with Random Removals
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Accelerated Life Test Sampling Plans under Progressive Type II Interval Censoring with Random Removals

机译：加速生命试验在逐步II型间隔中的采样计划，随机除去

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摘要

This paper investigates the design of accelerated life test (ALT) sampling plans under progressive Type II interval censoring with random removals. For ALT sampling plans with two over-stress levels, the optimal stress levels and the allocation proportions to them are obtained by minimizing the asymptotic generalized variance of the maximum likelihood estimation of model parameters. The required sample size and the acceptability constant which satisfy given levels of producer’s risk and consumer’s risk are found. ALT sampling plans with three over-stress levels are also considered under some specific settings. The properties of the derived ALT sampling plans under different parameter values are investigated by a numerical study. Some interesting patterns, which can provide useful insight to practitioners in related areas, are found. The true acceptance probabilities are computed using a Monte Carlo simulation and the results show that the accuracy of the derived ALT sampling plans is satisfactory. A numerical example is also provided for illustrative purpose.
机译：本文调查了随机除去的逐步II间隔审查下加速寿命测试（ALT）抽样计划的设计。对于具有两个过应力水平的ALT采样计划，通过最小化模型参数的最大似然估计的渐近广义方差来获得对它们的最佳应力水平和分配比例。找到了令人满意的制片人风险和消费者风险的所需样品尺寸和可接受性常数。在某些特定设置下也考虑具有三个过应力水平的ALT采样计划。通过数值研究研究了在不同参数值下进行的派生ALT采样计划的性质。找到一些有趣的模式，可以找到对相关领域的从业者提供有用的洞察力。使用Monte Carlo仿真计算真正的接受概率，结果表明，派生的ALT采样计划的准确性是令人满意的。还提供了用于说明目的的数值例子。

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