An Introduction to Algebraic Statistics with Tensors

• Κύριοι συγγραφείς: Bocci, Cristiano (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Chiantini, Luca (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: La Matematica per il 3+2, 118
• Θέματα: Statistics .; Applied mathematics.; Engineering mathematics.; Algebraic geometry.; Statistical Theory and Methods.; Applications of Mathematics.; Algebraic Geometry.

This book provides an introduction to various aspects of Algebraic Statistics with the principal aim of supporting Master's and PhD students who wish to explore the algebraic point of view regarding recent developments in Statistics. The focus is on the background needed to explore the connecti...

Πίνακας περιεχομένων:

• PART I: Algebraic Statistics
• 1 Systems of Random Variables and Distributions
• 2 Basic Statistics
• 3 Statistical models
• 4 Complex projective algebraic statistics
• 5 Conditional independence
• PART II: Multilinear Algebra
• 6 Tensors
• 7 Symmetric tensors
• 8 Marginalisation and attenings
• PART III: Commutative Algebra and Algebraic Geometry
• 9 Elements of Projective Algebraic Geometry
• 10 Projective maps and the Chow's Theorem
• 11 Dimension Theory
• 12 Secant varieties
• 13 Groebner bases.