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

Koch, Karl-Rudolf

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

Sinossi

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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Contenuti

Basic concepts.- Bayes’ Theorem.- Prior density functions.- Point estimation.- Confidence regions.- Hypothesis testing.- Predictive analysis.- Numerical techniques.- Models and special applications.- Linear models.- Nonlinear models.- Mixed models.- Linear models with unknown variance and covariance components.- Classification.- Posterior analysis based on distributions for robust maximum likelihood type estimates.- Reconstruction of digital images. 

Product Description

Book by Koch KarlRudolf

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9780387530802: Bayesian Inference With Geodetic Applications

Edizione in evidenza

ISBN 10:  0387530800 ISBN 13:  9780387530802
Brossura