XAFS spectroscopy. II. Statistical evaluations in the fitting problems

dc.creatorKlementev, K. V.
dc.date2000-03-28
dc.date.accessioned2026-07-07T05:43:56Z
dc.date.available2026-07-07T05:43:56Z
dc.descriptionThe 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.
dc.description10 pages, 4 figures, for freeware XAFS analysis program, see http://www.crosswinds.net/~klmn/viper.html
dc.identifierhttps://arxiv.org/abs/physics/0003087
dc.identifierhttp://arxiv.org/abs/physics/0003087
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/83444
dc.subjectData Analysis, Statistics and Probability
dc.titleXAFS spectroscopy. II. Statistical evaluations in the fitting problems
dc.typetext

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