Semialgebraic statistics and latent tree models. (2015)

• Record Type: Book
• Further Information: Note: Piotr Zwiernik.
• Authors: Zwiernik, Piotr
• Contents: Introduction; A statistical model as a geometric object; Algebraic statistics; Toward semialgebraic statistics; Latent tree models; Structure of the book Semialgebraic statistics; Algebraic and analytic geometry ; Basic concepts; Real algebraic and analytic geometry; Tensors and flattenings; Classical examples; Birational geometry Algebraic statistical models; Discrete measures; Exponential families and their mixtures; Maximum likelihood of algebraic models; Graphical models Tensors, moments, and combinatorics; Posets and Möbius functions; Cumulants and binary L -cumulants; Tensors and discrete measures; Submodularity and log-supermodularity Latent tree graphical models; Phylogenetic trees and their models ; Trees; Markov process on a tree; The general Markov model; Phylogenetic invariants The local geometry ; Tree cumulant parameterization; Geometry of unidentified subspaces; Examples, special trees, and submodels; Higher number of states The global geometry; Geometry of two-state models; Full semialgebraic description; Examples, special trees, and submodels; Inequalities and estimation Gaussian latent tree models; Gaussian models; Gaussian tree models and Chow–Liu algorithm; Gaussian latent tree models; The tripod tree Bibliographical notes appear at the end of each chapter.
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2015
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 519.5; Statistics; Latent variables
• Languages: English
• ISBNs: 9781466576223
• Related ISBNs: 9781466576216
• Notes: Note: Description based on CIP data; item not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.