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Bayesian Logical Data Analysis for the Physical Sciences

A Comparative Approach with Mathematica® Support

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Bayesian inference provides a simple and unified approach to data analysis, allowing experimenters to assign probabilities to competing hypotheses of interest, on the basis of the current state of knowledge. By incorporating relevant prior information, it can sometimes improve model parameter estimates by many orders of magnitude. This book provides a clear exposition of the underlying concepts with many worked examples and problem sets. It also discusses implementation, including an introduction to Markov chain Monte-Carlo integration and linear and nonlinear model fitting. Particularly extensive coverage of spectral analysis (detecting and measuring periodic signals) includes a self-contained introduction to Fourier and discrete Fourier methods. There is a chapter devoted to Bayesian inference with Poisson sampling, and three chapters on frequentist methods help to bridge the gap between the frequentist and Bayesian approaches.

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Bayesian Logical Data Analysis for the Physical Sciences, Phil C. Gregory

Lingua
Pubblicato
2010
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(In brossura),
Condizioni del libro
Danneggiato
Prezzo
32,18 €

Metodi di pagamento

Titolo
Bayesian Logical Data Analysis for the Physical Sciences
Sottotitolo
A Comparative Approach with Mathematica® Support
Lingua
Inglese
Pubblicato
2010
Formato
In brossura
Pagine
488
ISBN10
0521150124
ISBN13
9780521150125
Serie
Descrizione
Bayesian inference provides a simple and unified approach to data analysis, allowing experimenters to assign probabilities to competing hypotheses of interest, on the basis of the current state of knowledge. By incorporating relevant prior information, it can sometimes improve model parameter estimates by many orders of magnitude. This book provides a clear exposition of the underlying concepts with many worked examples and problem sets. It also discusses implementation, including an introduction to Markov chain Monte-Carlo integration and linear and nonlinear model fitting. Particularly extensive coverage of spectral analysis (detecting and measuring periodic signals) includes a self-contained introduction to Fourier and discrete Fourier methods. There is a chapter devoted to Bayesian inference with Poisson sampling, and three chapters on frequentist methods help to bridge the gap between the frequentist and Bayesian approaches.