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Bayesian Inference

Parameter Estimation and Decisions

  • Hanns L. Harney
Textbook

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

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Hanns L. Harney
    Pages 1-7
  3. Hanns L. Harney
    Pages 8-18
  4. Hanns L. Harney
    Pages 19-28
  5. Hanns L. Harney
    Pages 29-39
  6. Hanns L. Harney
    Pages 40-45
  7. Hanns L. Harney
    Pages 46-56
  8. Hanns L. Harney
    Pages 57-64
  9. Hanns L. Harney
    Pages 65-70
  10. Hanns L. Harney
    Pages 71-80
  11. Hanns L. Harney
    Pages 81-94
  12. Hanns L. Harney
    Pages 95-108
  13. Hanns L. Harney
    Pages 109-119
  14. Hanns L. Harney
    Pages 120-129
  15. Hanns L. Harney
    Pages 130-136
  16. Hanns L. Harney
    Pages 137-152
  17. Hanns L. Harney
    Pages 153-161
  18. Hanns L. Harney
    Pages 162-167
  19. Back Matter
    Pages 169-265

About this book

Introduction

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.

Keywords

Bayes Theorem Data Analysis Econophysics Fitting Fitting Data Invariance Invariant Meassure Non Gaussian Distribution Variance best fit correlation quantum mechanics standard deviation

Authors and affiliations

  • Hanns L. Harney
    • 1
  1. 1.Max-Planck-Institut fuer KernphysikHeidelbergGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-06006-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-05577-5
  • Online ISBN 978-3-662-06006-3
  • Series Print ISSN 1439-2674
  • Buy this book on publisher's site
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