Bayesian Inference: Parameter Estimation and Decisions
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2003
|
| Series: | Advanced Texts in Physics
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| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The book provides a generalization of Gaussian error intervals to situations where the data follow non-Gaussian distributions. This usually occurs in frontier science, where the observed parameter is just above background or the histogram of multiparametric data contains empty bins. Then the validity of a theory cannot be decided by the chi-squared-criterion, but this long-standing problem is solved here. The book is based on Bayes' theorem, symmetry and differential geometry. In addition to solutions of practical problems, the text provides an epistemic insight: The logic of quantum mechanics is obtained as the logic of unbiased inference from counting data. However, no knowledge of quantum mechanics is required. The text, examples and exercises are written at an introductory level |
| Physical Description: | 1 Online-Ressource (XIII, 263 p) |
| ISBN: | 9783662060063 9783642055775 |
| ISSN: | 1439-2674 |
| DOI: | 10.1007/978-3-662-06006-3 |
Staff View
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Record in the Search Index
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| discipline | Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
| doi_str_mv | 10.1007/978-3-662-06006-3 |
| format | Electronic eBook |
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| isbn | 9783662060063 9783642055775 |
| issn | 1439-2674 |
| language | English |
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| physical | 1 Online-Ressource (XIII, 263 p) |
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| publisher | Springer Berlin Heidelberg |
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| series2 | Advanced Texts in Physics |
| spelling | Harney, Hanns L. Verfasser aut Bayesian Inference Parameter Estimation and Decisions by Hanns L. Harney Berlin, Heidelberg Springer Berlin Heidelberg 2003 1 Online-Ressource (XIII, 263 p) txt rdacontent c rdamedia cr rdacarrier Advanced Texts in Physics 1439-2674 The book provides a generalization of Gaussian error intervals to situations where the data follow non-Gaussian distributions. This usually occurs in frontier science, where the observed parameter is just above background or the histogram of multiparametric data contains empty bins. Then the validity of a theory cannot be decided by the chi-squared-criterion, but this long-standing problem is solved here. The book is based on Bayes' theorem, symmetry and differential geometry. In addition to solutions of practical problems, the text provides an epistemic insight: The logic of quantum mechanics is obtained as the logic of unbiased inference from counting data. However, no knowledge of quantum mechanics is required. The text, examples and exercises are written at an introductory level Physics Computer science / Mathematics Quantum theory Mathematical statistics Quantum Information Technology, Spintronics Quantum Physics Statistical Physics, Dynamical Systems and Complexity Statistical Theory and Methods Computational Mathematics and Numerical Analysis Informatik Mathematik Quantentheorie Bayes-Inferenz (DE-588)4648118-7 gnd rswk-swf Bayes-Inferenz (DE-588)4648118-7 s 1\p DE-604 https://doi.org/10.1007/978-3-662-06006-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Harney, Hanns L. Bayesian Inference Parameter Estimation and Decisions Physics Computer science / Mathematics Quantum theory Mathematical statistics Quantum Information Technology, Spintronics Quantum Physics Statistical Physics, Dynamical Systems and Complexity Statistical Theory and Methods Computational Mathematics and Numerical Analysis Informatik Mathematik Quantentheorie Bayes-Inferenz (DE-588)4648118-7 gnd |
| subject_GND | (DE-588)4648118-7 |
| title | Bayesian Inference Parameter Estimation and Decisions |
| title_auth | Bayesian Inference Parameter Estimation and Decisions |
| title_exact_search | Bayesian Inference Parameter Estimation and Decisions |
| title_full | Bayesian Inference Parameter Estimation and Decisions by Hanns L. Harney |
| title_fullStr | Bayesian Inference Parameter Estimation and Decisions by Hanns L. Harney |
| title_full_unstemmed | Bayesian Inference Parameter Estimation and Decisions by Hanns L. Harney |
| title_short | Bayesian Inference |
| title_sort | bayesian inference parameter estimation and decisions |
| title_sub | Parameter Estimation and Decisions |
| topic | Physics Computer science / Mathematics Quantum theory Mathematical statistics Quantum Information Technology, Spintronics Quantum Physics Statistical Physics, Dynamical Systems and Complexity Statistical Theory and Methods Computational Mathematics and Numerical Analysis Informatik Mathematik Quantentheorie Bayes-Inferenz (DE-588)4648118-7 gnd |
| topic_facet | Physics Computer science / Mathematics Quantum theory Mathematical statistics Quantum Information Technology, Spintronics Quantum Physics Statistical Physics, Dynamical Systems and Complexity Statistical Theory and Methods Computational Mathematics and Numerical Analysis Informatik Mathematik Quantentheorie Bayes-Inferenz |
| url | https://doi.org/10.1007/978-3-662-06006-3 |
| work_keys_str_mv | AT harneyhannsl bayesianinferenceparameterestimationanddecisions |