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).
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xiii, 637 pages :
Other Physical Details
illustrations ;
Dimensions
26 cm
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 620-630) and index.
CONTENTS NOTE
Text of Note
The meaning of probability -- Basic definitions for frequent 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 -- Qualified 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.