An edition of Bayesian Inference (2003)

Bayesian Inference

Parameter Estimation and Decisions

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Last edited by MARC Bot
September 28, 2024 | History
An edition of Bayesian Inference (2003)

Bayesian Inference

Parameter Estimation and Decisions

  • 0 Want to read
  • 0 Currently reading
  • 0 Have read

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.

Publish Date
Language
English
Pages
265

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Previews available in: English

Edition Availability
Cover of: Bayesian Inference
Bayesian Inference: Parameter Estimation and Decisions
2003, Springer Berlin Heidelberg
electronic resource : in English

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Book Details


Table of Contents

Knowledge and Logic
Bayes' Theorem
Probable and improbable Data
Bayes' Theorem and the Truth
Description of Distributions I: Probability Densities
Description of Distributions II: Form Invariance I: Real x
Examples of Invariant Measures
A Linear Representation of Form Invariance
Beyond Form Invariance: The Geometric Prior
Econophysics
Inferring Mean or Standard Deviation
Form Invariance II: Natural x
Independence of Parameters
The Art of Fitting I: Real x
Judging a Fit I: Real x
The Art of Fitting II: Natural x
Judging a Fit II: Natural x
Summary
A Problems
B Form Invariance I: Probability Densities
C Beyond Form Invariance: The Geometric Prior
D Inferring Mean or Standard Deviation
E Form Invariance II: Natural x
F Independence of Parameters
G The Art of Fitting I: Real x
H Judging a Fit II: Natural x
Bibliography. .

Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Published in
Berlin, Heidelberg
Series
Advanced Texts in Physics, Advanced Texts in Physics

Classifications

Dewey Decimal Class
621.3
Library of Congress
QA76.889, TK7874.887, QA1-939, QA273.A1-274.9

The Physical Object

Format
[electronic resource] :
Pagination
1 online resource (xiii, 265 p.)
Number of pages
265

ID Numbers

Open Library
OL27020189M
Internet Archive
bayesianinferenc00harn
ISBN 10
364205577X, 366206006X
ISBN 13
9783642055775, 9783662060063
OCLC/WorldCat
851374216

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History

Download catalog record: RDF / JSON
September 28, 2024 Edited by MARC Bot import existing book
December 29, 2021 Edited by ImportBot import existing book
June 28, 2019 Created by MARC Bot import new book