TY  - BOOK
AU  - Linden,Wolfgang von der
AU  - Dose,Volker
AU  - Toussaint,Udo von
TI  - Bayesian probability theory: applications in the physical sciences 
SN  - 9781139565608 (ebook)
AV  - QC174.85.P76 L56 2014
U1  - 519.5/42 23
PY  - 2014///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Probabilities
KW  - Bayesian statistical decision theory
N1  - Title from publisher's bibliographic system (viewed on 01 Feb 2016); 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
N2  - 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 advanced topics such as maximum entropy distributions, stochastic processes, parameter estimation, model selection, hypothesis testing and experimental design. In addition, it explores state-of-the art numerical techniques required to solve demanding real-world problems. The book is ideal for students and researchers in physical sciences and engineering
UR  - https://doi.org/10.1017/CBO9781139565608
ER  -