Cover Image

Bayesian probability theory : applications in the physical sciences / Wolfgang von der Linden, Volker Dose, Udo von Toussaint.

Show other versions (1)

From the basics to the forefront of modern research, this book presents all aspects of probability theory, statistics and data analysis from a Bayesian perspective for physicists and engineers. The book presents the roots, applications and numerical implementation of probability theory, and covers a...

Full description

Saved in:
Bibliographic Details
Online Access: Full Text (via Cambridge)
Main Author: Linden, Wolfgang von der
Other Authors: Dose, Volker, Toussaint, Udo von
Format: Electronic eBook
Language:English
Published: Cambridge : Cambridge University Press, 2014.
Subjects:
Probabilities.
Bayesian statistical decision theory.
Table of Contents:
  • The meaning of probability
  • Basic definitions
  • Bayesian inference
  • Combinatrics
  • Random walks
  • Limit theorems
  • Continuous distributions
  • The central limit theorem
  • Poisson processes and waiting times
  • Transformation invariance
  • Maximum entropy
  • Qualified maximum entropy
  • Global smoothness
  • Bayesian parameter estimation
  • Frequentist parameter estimation
  • The Cramer-Rao inequality
  • The Bayesian way
  • The frequentist way
  • Sampling distributions
  • Bayesian vs frequentist hypothesis tests
  • Regression
  • Inconsistent data
  • Unrecognized signal contributions
  • Change point problems
  • Function estimation
  • Integral equations
  • Model selection
  • Bayesian experimental design
  • Numerical integration
  • Monte Carlo methods
  • Nested sampling.

Similar Items