XAFS光谱学。II。拟合问题中的统计评价
XAFS spectroscopy. II. Statistical evaluations in the fitting problems
摘要：
错误分析的问题是解决阶段开始的情况下，不相关的参数，并进行到贝叶斯问题，考虑到所有可能的相关性时，大量的先验信息可访问parametr空间。导出了任意置信水平下的标准差和偏差的计算公式。XAFS函数提取的错误被低估是拟合参数的不合理乐观错误的来源。本文还讨论了统计卡方检验和F检验在拟合问题中的应用。
英文摘要：
The problem of error analysis is addressed in stages beginning with the case of uncorrelated parameters and proceeding to the Bayesian problem that takes into account all possible correlations when a great deal of prior information about the accessible parametr space is available. The formulas for the standard deviations and deviations with arbitrary confidence levels are derived. Underestimation of the errors of XAFS-function extraction is shown to be a source of unjustified optimistic errors of fitting parameters. The applications of statistical chi^2- and F-tests to the fitting problems are also discussed.
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