Bayesian Inference: Parameter Estimation and Decisions - Brossura

Harney, Hanns L. L.

Brossura

ISBN 10: 364205577X ISBN 13: 9783642055775

Casa editrice: Springer, 2010

Riassunto

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.

Su questo libro

Dalla quarta di copertina

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.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 364205577X
• ISBN 13: 9783642055775
• Rilegatura: Copertina flessibile
• Numero di pagine: 280
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania