Lectures on Algebraic Statistics

• Main Authors: Drton, Mathias (Author), Sturmfels, Bernd (Author), Sullivant, Seth (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2009.
• Series: Oberwolfach Seminars ; 39
• Subjects: Statistics.; Algebraic geometry.; Probabilities.; Statistical Theory and Methods.; Algebraic Geometry.; Probability Theory and Stochastic Processes.

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 s...

Table of Contents:

• Markov Bases
• Likelihood Inference
• Conditional Independence
• Hidden Variables
• Bayesian Integrals
• Exercises
• Open Problems.