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Bayes假设检验及样本数量问题研究 总被引:1,自引:0,他引:1
针对Bayes方法在工程实践中未能得到广泛应用的实际情况分析了Bayes方法存在的问题,以正态总体期望为背景研究并改进了Bayes方法,进一步推导了Bayes假设检验样本数量确定方法。 相似文献
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Bayes估计法是可靠性评估中应用最为广泛的方法之一,指数分布的Bayes验前概率密度函数中的重要参数主要依靠Reformulation法和Box-Tiao法确定,具有较强的主观经验性。基于Beyes估计的基本思想,以试验数据为依据,利用第二类极大似然估计法(ML-Ⅱ估计法)确定Bayes方法中的相关参数,避免了参数确定的主观性。实例表明结果合理,方法客观、可行。 相似文献
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提出了齿轮箱故障诊断特征级数据关联的定义.在该定义的基础上,提出了基于Bootstrap方法的小样本诊断特征参数关联的方法.利用某型齿轮箱振动试验台测取的振动加速度响应信号对提取的特征参数进行了关联评估,基于Bootstrap方法的特征级数据关联方法正确区分出了效果不好的特征参数,证实了该数据关联方法的正确性. 相似文献
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Alan Washburn 《海军后勤学研究》2006,53(4):354-362
The Jelinski–Moranda model of software reliability is generalized by introducing a negative‐binomial prior distribution for the number of faults remaining, together with a Gamma distribution for the rate at which each fault is exposed. This model is well suited to sequential use, where a sequence of reliability forecasts is made in the process of testing or using the software. We also investigate replacing the Gamma distribution with a worst‐case assumption about failure rates (the worst‐case failure rate in models such as this is not infinite, since faults with large failure rates are immediately discovered and removed). © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006 相似文献
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可靠性评定是定量评估系统可靠性水平的重要途径,是对其可靠性进行定量控制的必要手段.某些复杂系统由于研制时间和经费的限制,现场试验样本量极其有限,依赖传统的基于大样本的数理统计方法将难以获得客观结论,因此其可靠性评定一直是工程实践中的技术难题.针对复杂系统可靠性评估和寿命预测时现场样本量不足的问题,提出了一种基于多源信息融合的可靠性评定方法.该方法利用平均互信息熵来度量多源验前信息对可靠性评定不确定性减少所起的作用,以此为依据确定多源信息融合权重,并通过融合验前分布进行复杂系统的可靠性评定,从而减少了评定过程中的主观性,增强了评定结论的可信性.最后通过仿真实例验证了方法的有效性. 相似文献
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从工程应用的角度出发 ,在极小现场子样条件下 ,讨论了如何利用验前信息与现场子样来对导弹的命中精度进行评定 ,将随机加权法与BAYES方法结合起来 ,提出了基于随机加权法的BAYES精度评定方法 ,并通过算例证实了方法的正确性 相似文献
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对于高可靠、长寿命产品,基于性能退化数据分析可靠性是一种行之有效的技术途径。结合航空航天产品性能退化的机理与现场试验小子样的特点,建立了基于Normal-Poisson过程的性能退化模型。论文在对产品性能退化建模的基础上,结合Bayes方法给出了退化模型参数的估计算法和可靠性推断的公式,最后结合实例说明了方法的有效性。 相似文献
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Burn-in is the preconditioning of assemblies and the accelerated power-on tests performed on equipment subject to temperature, vibration, voltage, radiation, load, corrosion, and humidity. Burn-in techniques are widely applied to integrated circuits (IC) to enhance the component and system reliability. However, reliability prediction by burn-in at the component level, such as the one using the military (e.g., MIL-STD-280A, 756B, 217E [23–25]) and the industrial standards (e.g., the JEDEC standards), is usually not consistent with the field observations. Here, we propose system burn-in, which can remove many of the residual defects left from component and subsystem burn-in (Chien and Kuo [6]). A nonparametric model is considered because 1) the system configuration is usually very complicated, 2) the components in the system have different failure mechanisms, and 3) there is no good model for modeling incompatibility among components and subsystems (Chien and Kuo [5]; Kuo [16]). Since the cost of testing a system is high and, thus, only small samples are available, a Bayesian nonparametric approach is proposed to determine the system burn-in time. A case study using the proposed approach on MCM ASIC's shows that our model can be applied in the cases where 1) the tests and the samples are expensive, and 2) the records of previous generation of the products can provide information on the failure rate of the system under investigation. © 1997 John Wiley & Sons, Inc. Naval Research Logistics 44: 655–671, 1997 相似文献