Bayesian probability theory : applications in the physical sciences /
Wolfgang von der Linden, Graz University of Technology, Institute for Theoretical and Computational Physics, Graz, Austria, Volker Dose, Max Planck Institute for Plasma Physics, Garching, Germany, Udo von Toussaint, Max Planck Institute for Plasma Physics, Garching, Germany.
- xiii, 637 páginas : ilustraciones
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.