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Harney

Bayesian Inference

Data Evaluation and Decisions

Medium: Buch
ISBN: 978-3-319-41642-7
Verlag: Springer International Publishing
Erscheinungstermin: 26.10.2016
Lieferfrist: bis zu 10 Tage
This new edition offers a comprehensive introduction to the analysis of data using Bayes rule. It generalizes Gaussian error intervals to situations in which the data follow distributions other than Gaussian. This is particularly useful when the observed parameter is barely above the background or the histogram of multiparametric data contains many empty bins, so that the determination of the validity of a theory cannot be based on the chi-squared-criterion. In addition to the solutions of practical problems, this approach provides an epistemic insight: the logic of quantum mechanics is obtained as the logic of unbiased inference from counting data.  New sections feature factorizing parameters, commuting parameters,  observables in quantum mechanics, the art of fitting with coherent and with incoherent alternatives and fitting with multinomial distribution. Additional problems and examples help deepen the knowledge.  Requiring no knowledge of quantum mechanics, the book is written on introductory level, with many examples and exercises, for advanced undergraduate and graduate students in the physical sciences, planning to, or working in, fields such as medical physics, nuclear physics, quantum mechanics, and chaos.

Produkteigenschaften


  • Artikelnummer: 9783319416427
  • Medium: Buch
  • ISBN: 978-3-319-41642-7
  • Verlag: Springer International Publishing
  • Erscheinungstermin: 26.10.2016
  • Sprache(n): Englisch
  • Auflage: 2. Auflage 2016
  • Produktform: Gebunden, HC runder Rücken kaschiert
  • Gewicht: 5148 g
  • Seiten: 243
  • Format (B x H x T): 160 x 241 x 20 mm
  • Ausgabetyp: Kein, Unbekannt
  • Vorauflage: 978-3-540-00397-7

Autoren/Hrsg.

Autoren

Harney, Hanns Ludwig

Knowledge an Logic.- Bayes' Theorem.- Probable and Improbable Data.- Descriptions of Distributions I: Real x.- Description of Distributions II: Natural x.- Form Invariance I.- Examples of Invariant Measures.- A Linear Representation of Form Invariance.- Going Beyond Form Invariance: The Geometric Prior.- Inferring the Mean or Standard Deviation.- Form Invariance II: Natural x.- Item Response Theory.- On the Art of Fitting.- Problems and Solutions.- Description of Distributions I.- Real x.- Form Invariance I.- Beyond Form Invariance: The Geometric Prior.- Inferring Mean or Standard Deviation.- Form Invariance II: Natural x.- Item Response Theory.- On the Art of Fitting.