ENGLISH

Bayesian Inference with Geodetic Applications

By Professor Karl-Rudolf Koch (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1990
ISBN
978-3-540-53080-0, 978-3-540-46601-7
DOI
10.1007/BFb0048699
Language
english
Format
PDF
Filesize
3 MB (3474867 bytes)
Series
Lecture Notes in Earth Sciences 31
Edition
1
Pages
199\204
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Chemistry and Earth SciencesComputer Sciencegeneral; Statistics for EngineeringGeophysics/Geodesy; Geology; Probability Theory anPhysics

Description

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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