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Bayesian Inference

Data Evaluation and Decisions

  • Hanns Ludwig Harney

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Hanns Ludwig Harney
    Pages 1-9
  3. Hanns Ludwig Harney
    Pages 11-25
  4. Hanns Ludwig Harney
    Pages 27-39
  5. Hanns Ludwig Harney
    Pages 41-53
  6. Hanns Ludwig Harney
    Pages 55-61
  7. Hanns Ludwig Harney
    Pages 63-80
  8. Hanns Ludwig Harney
    Pages 81-90
  9. Hanns Ludwig Harney
    Pages 91-102
  10. Hanns Ludwig Harney
    Pages 103-113
  11. Hanns Ludwig Harney
    Pages 115-125
  12. Hanns Ludwig Harney
    Pages 127-136
  13. Hanns Ludwig Harney
    Pages 137-150
  14. Hanns Ludwig Harney
    Pages 151-165
  15. Hanns Ludwig Harney
    Pages 167-172
  16. Back Matter
    Pages 173-243

About this book

Introduction

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.

Keywords

Bayesian Decision Theory Commuting Parameters Physics Data Analysis Physics Factorizing Parameters Physics Fitting Experimental Data Fourier Expansion Geometric Prior Distribution Histogram Coherent Alternative Histogram Fitting Multinomial Distribution Partial Form Invariance Statistical Analysis Physics Statistical Testing and Model Choice Symmetry Group Physics

Authors and affiliations

  • Hanns Ludwig Harney
    • 1
  1. 1.Max-Planck-Institute for Nuclear Ph HeidelbergGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-41644-1
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-41642-7
  • Online ISBN 978-3-319-41644-1
  • Buy this book on publisher's site