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Bayesian Inference with Geodetic Applications (1990)

Bayesian Inference with Geodetic Applications

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"Bayesian Inference with Geodetic Applications" by Karl-Rudolf Koch is a mathematics book and learning resource focused on Astronomical Data. Best for teachers, students, and readers looking for stronger mathematical understanding.

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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Best For: Researchers and practitioners in geodesy and related earth sciences who need to apply Bayesian inference methods.
Focus: Introduction to Bayesian inference with emphasis on practical applications in geodetic contexts, covering fundamental concepts and Monte Carlo methods.
Covers: Bayes' theorem, prior density functions, point estimation, confidence regions, hypothesis testing, predictive analysis, and numerical integration of posterior distributions.
Why It Matters: Provides a foundation for applying Bayesian statistical methods to geodetic data analysis, supporting more informed decision-making in earth sciences.

"Bayesian Inference with Geodetic Applications" by Karl-Rudolf Koch is a mathematics book and learning resource focused on Astronomical Data. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Astronomical Data

Author: Karl-Rudolf Koch

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

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.

AuthorKarl-Rudolf Koch
PublisherSpringer
Published1990
ISBN-139783540530800
BindingPaperback
Pages212
LanguageEnglish
SubjectsScience
TopicAstronomical Data
SeriesLecture Notes in Earth Sciences

Format: Paperback

Length: 212 pages

Language: English

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