Bayesian Inference with Geodetic Applications (Lecture Notes in Earth Sciences): 31 - Softcover

Koch, Karl-Rudolf

 
9783540530800: Bayesian Inference with Geodetic Applications (Lecture Notes in Earth Sciences): 31

Inhaltsangabe

This introduction to Bayesian inference places special emphasis on applications. All basic concepts are presented: Bayes’ theorem, prior density functions, point estimation, confidence region, hypothesis testing and predictive analysis. In addition, Monte Carlo methods are discussed since the applications mostly rely on the numerical integration of the posterior distribution. Furthermore, Bayesian inference in the linear model, nonlinear model, mixed model and in the model with unknown variance and covariance components is considered. Solutions are supplied for the classification, for the posterior analysis based on distributions of robust maximum likelihood type estimates, and for the reconstruction of digital images.

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Reseña del editor

This introduction to Bayesian inference places special emphasis on applications. All basic concepts are presented: Bayes' theorem, prior density functions, point estimation, confidence region, hypothesis testing and predictive analysis. In addition, Monte Carlo methods are discussed since the applications mostly rely on the numerical integration of the posterior distribution. Furthermore, Bayesian inference in the linear model, nonlinear model, mixed model and in the model with unknown variance and covariance components is considered. Solutions are supplied for the classification, for the posterior analysis based on distributions of robust maximum likelihood type estimates, and for the reconstruction of digital images.

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9780387530802: Bayesian Inference With Geodetic Applications (Lecture Notes in Earth Sciences)

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ISBN 10:  0387530800 ISBN 13:  9780387530802
Softcover