Bayesian Inference: Parameter Estimation and Decisions (Advanced Texts in Physics) - Softcover

Harney, Hanns L. L.

 
9783642055775: Bayesian Inference: Parameter Estimation and Decisions (Advanced Texts in Physics)
Softcover
ISBN 10: 364205577X ISBN 13: 9783642055775
Verlag: Springer, 2010

Inhaltsangabe

Solving a longstanding problem in the physical sciences, this text and reference generalizes Gaussian error intervals to situations in which the data follow distributions other than Gaussian. This usually occurs in frontier science because the observed parameter is barely above the background or the histogram of multiparametric data contains many empty bins. Then the determination of the validity of a theory cannot be based on the chi-square-criterion. The book is based on Bayes' theorem, symmetries and differential geometry. In addition to the solutions of practical problems, this approach provides an espithemic insight: the logic of quantum mechanics is obtained as the logic of unbiased inference from counting data. Requiring no knowledge of quantum mechanics. The text is written on introductory level, with many examples and exercises.

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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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
364205577X
ISBN 13 
9783642055775
Einband
Taschenbuch
Anzahl der Seiten
280
Kontakt zum Hersteller
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Darmstadt
64293
Deutschland

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9783540003977: Bayesian Inference: Parameter Estimation and Decisions (Advanced Texts in Physics)

Vorgestellte Ausgabe

ISBN 10:  3540003975 ISBN 13:  9783540003977
Verlag: Springer, 2003
Hardcover