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Statistical Foundations for the Validation of Computer Models

机译:计算机模型验证的统计基础

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Confidence in computational predictions is enhanced if the potential 'error' in these predictions (the difference between the prediction and nature's outcome in the situation being simulated) can be credibly bounded. The "model-validation" process by which experimental or field results are compared to computational predictions to produce this confidence provides the raw material for characterizing a computational model's predictive capability in terms of such error limits. In general, the goal is to evaluate predictive capability, first for predictions in the region of experimentation, then, if possible, for predictions in untested regions of applications. This whole process is fundamentally statistical because it requires the acquisition and careful analysis of appropriate data. We establish a statistical model for characterizing predictive-capability and discuss various experimental design and statistical data analysis issues and approaches for resolving them Analyses based on both 'frequentist' and Bayesian statistical paradigms are discussed in general in this paper and illustrated in accompanying papers presented at this workshop.
机译:如果在这些预测中的潜在“错误”(模拟中的情况下预测和自然结果之间的差异)可以是可靠的限制,则可以增强对计算预测的置信度。将实验或现场结果与计算预测进行比较的“模型验证”过程,以产生这种置信度,提供了在这种误差限制方面表征计算模型的预测能力的原料。通常,目标是评估预测能力,首先在实验区域的预测,然后,如果可能的话,在未经测试的应用区域中的预测。整个过程基本上是统计学,因为它需要采集和仔细分析适当的数据。我们建立了一个统计模型,用于表征预测能力,并讨论各种实验设计和统计数据分析问题,并在本文中一般讨论了基于“频率”和贝叶斯统计范例的分析的方法,并在本文中展示了伴随的论文这个研讨会。

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