dorsal/arxiv
View SchemaXAFS spectroscopy. II. Statistical evaluations in the fitting problems
| Authors | K. V. Klementev |
|---|---|
| Categories | |
| ArXiv ID | physics/0003087 |
| URL | https://arxiv.org/abs/physics/0003087 |
Abstract
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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"abstract": "The problem of error analysis is addressed in stages beginning with the case\nof uncorrelated parameters and proceeding to the Bayesian problem that takes\ninto account all possible correlations when a great deal of prior information\nabout the accessible parametr space is available. The formulas for the standard\ndeviations and deviations with arbitrary confidence levels are derived.\nUnderestimation of the errors of XAFS-function extraction is shown to be a\nsource of unjustified optimistic errors of fitting parameters. The applications\nof statistical chi^2- and F-tests to the fitting problems are also discussed.",
"arxiv_id": "physics/0003087",
"authors": [
"K. V. Klementev"
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"title": "XAFS spectroscopy. II. Statistical evaluations in the fitting problems",
"url": "https://arxiv.org/abs/physics/0003087"
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