TY  - BOOK
AU  - 
AU  - 
AU  - 
ED  - SpringerLink (Online service)
TI  - Lectures on Algebraic Statistics
T2  - Oberwolfach Seminars
SN  - 9783764389055
AV  - QA276-280 
U1  - 519.5 23
PY  - 2009///
CY  - Basel
PB  - Birkhuser Basel
KW  - Statistics
KW  - Geometry, algebraic
KW  - Distribution (Probability theory)
KW  - Mathematical statistics
KW  - Statistical Theory and Methods
KW  - Algebraic Geometry
KW  - Probability Theory and Stochastic Processes
N1  - Markov Bases -- Likelihood Inference -- Conditional Independence -- Hidden Variables -- Bayesian Integrals -- Exercises -- Open Problems
N2  - How does an algebraic geometer studying secant varieties further the understanding of hypothesis tests in statistics? Why would a statistician working on factor analysis raise open problems about determinantal varieties? Connections of this type are at the heart of the new field of "algebraic statistics". In this field, mathematicians and statisticians come together to solve statistical inference problems using concepts from algebraic geometry as well as related computational and combinatorial techniques. The goal of these lectures is to introduce newcomers from the different camps to algebraic statistics. The introduction will be centered around the following three observations: many important statistical models correspond to algebraic or semi-algebraic sets of parameters; the geometry of these parameter spaces determines the behaviour of widely used statistical inference procedures; computational algebraic geometry can be used to study parameter spaces and other features of statistical models
UR  - http://dx.doi.org/10.1007/978-3-7643-8905-5
ER  -