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Bayesian probability theory : applications in the physical sciences /

Bibliographic Details
Main Authors: Linden, Wolfgang von der (Author), Dose, Volker (Author), Toussaint, Udo von (Author)
Format: Book
Language:English
Published: Cambridge ; New York : Cambridge University Press, 2014.
Subjects:
Probabilities.
Bayesian statistical decision theory.
Table of Contents:
  • The meaning of probability
  • Basic definitions for frequentist statistics and Bayesian inference
  • Bayesian inference
  • Combinatrics
  • Random walks
  • Limit theorems
  • Continuous distributions
  • The central limit theorem
  • Poisson processes and waiting times
  • Prior probabilities by transformation invariance
  • Testable information and maximum entropy
  • Quantified maximum entropy
  • Global smoothness
  • Bayesian parameter estimation
  • Frequentist parameter estimation
  • The Cramer-Rao inequality
  • The Bayesian way
  • The frequentist approach
  • Sampling distributions
  • Comparison of Bayesian and frequentist hypothesis tests
  • Regression
  • Consistent inference on inconsistent data
  • Unrecognized signal contributions
  • Change point problems
  • Function estimation
  • Integral equations
  • Model selection
  • Bayesian experimental design
  • Numerical integration
  • Monte Carlo methods
  • Nested sampling.