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Development of Information-Driven Robust Design:A Bayesian View

机译:信息驱动的稳健设计的发展:贝叶斯观点

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摘要

The Bayesian approach is a proven method for formally incorporating scientific knowledge, expertise, and informedrnjudgment into statistical analysis; however, there is room for improvement. The conventional approach considers arnrandom sample to determine the mean and variance of the current system performance, yet there are other ways torndetermine this type of information. One such method is robust design, which attempts to determine the optimumrnoperating conditions for a system. The techniques used in robust design that could improve the estimation of arnposterior distribution include design of experiments, consideration of uncontrollable (noise) factors, and experimentsrnin which restrictions and constraints are imposed. In this paper, we propose a robust design-based Bayesian model tornestimate the mean and variance of a posterior distribution more precisely. The proposed model is illustrated throughrnan example and is compared to the traditional Bayesian approach.
机译:贝叶斯方法是将科学知识,专业知识和明智判断正式纳入统计分析的一种行之有效的方法。但是,仍有改进的空间。常规方法考虑随机样本来确定当前系统性能的均值和方差,但是还有其他方法可以确定此类信息。一种这样的方法是稳健的设计,其试图确定系统的最佳运转条件。健壮设计中使用的可以改善后验分布估计的技术包括实验设计,对不可控(噪声)因素的考虑以及施加限制和约束的实验。在本文中,我们提出了一个基于设计的鲁棒贝叶斯模型,可以更精确地估计后验分布的均值和方差。通过示例对提出的模型进行了说明,并将其与传统的贝叶斯方法进行了比较。

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