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Judging a Fit I: Real x

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Bayesian Inference

Part of the book series: Advanced Texts in Physics ((ADTP))

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Abstract

Fitting a function β to the observed x may yield a poor result even if the available parameters are ξ optimised As explained at the beginning of Chap. 13, the function β(t) is actually a family of functions β(t; ξ), and one determines the range of ξ that falls into the Bayesian area. It is possible that even the optimum parameter ξ opt, defined in Sect. 3.3, yields an inadequate fit. The optimum parameter suggests that one can represent the observed data by the function β pre = β(t; ξ opt).If β pre is not adequate, no member of the family β reasonably fits x.

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© 2003 Springer-Verlag Berlin Heidelberg

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Harney, H.L. (2003). Judging a Fit I: Real x . In: Bayesian Inference. Advanced Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06006-3_14

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  • DOI: https://doi.org/10.1007/978-3-662-06006-3_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05577-5

  • Online ISBN: 978-3-662-06006-3

  • eBook Packages: Springer Book Archive

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