TY - BOOK AU - Sivia, Devinderjit AU - Skilling, John TI - Data analysis: : a bayesian tutorial SN - 9780198568322 PY - 2006/// CY - Oxford, U.K. PB - Oxford University Press N1 - 1:The Basics, 2:Parameter Estimation I, 3:Parameter Estimation II, 4:Model Selection, 5:Assigning Probabilities, 6:Non-parametric Estimation, 7:Experimental Design, 8:Least-Squares Extensions, 9:Nested Sampling, 10:Quantification, Appendices Bibliography N2 - Statistics lectures have been a source of much bewilderment and frustration for generations of students. This book attempts to remedy the situation by expounding a logical and unified approach to the whole subject of data analysis. This text is intended as a tutorial guide for senior undergraduates and research students in science and engineering. After explaining the basic principles of Bayesian probability theory, their use is illustrated with a variety of examples ranging from elementary parameter estimation to image processing. Other topics covered include reliability analysis, multivariate optimization, least-squares and maximum likelihood, error-propagation, hypothesis testing, maximum entropy and experimental design. The Second Edition of this successful tutorial book contains a new chapter on extensions to the ubiquitous least-squares procedure, allowing for the straightforward handling of outliers and unknown correlated noise, and a cutting-edge contribution from John Skilling on a novel numerical technique for Bayesian computation called 'nested sampling' ER -