Free shipping on all orders over $79* Limited Time Only
Track My Order
Help Centre
Likes
My Wish ListsLogin / Join
Booktopia
Australia's local bookstore
Get Free Shipping on orders over $79
Information Geometry : Mathematics and Statistics (R0) - Nihat Ay

Information Geometry

By: Nihat Ay, Jürgen Jost, Hông Vân Lê, Lorenz Schwachhöfer

eText | 25 August 2017

At a Glance

eText

$169.00

or 4 interest-free payments of $42.25 with

 or 

Instant online reading in your Booktopia eTextbook Library *

Why choose an eTextbook?

Instant Access *

Purchase and read your book immediately

Read Aloud

Listen and follow along as Bookshelf reads to you

Study Tools

Built-in study tools like highlights and more

* eTextbooks are not downloadable to your eReader or an app and can be accessed via web browsers only. You must be connected to the internet and have no technical issues with your device or browser that could prevent the eTextbook from operating.

The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory. Parametrised measure models are defined as fundamental geometric objects, which can be both finite or infinite dimensional. Based on these models, canonical tensor fields are introduced and further studied, including the Fisher metric and the Amari-Chentsov tensor, and embeddings of statistical manifolds are investigated.

This novel foundation then leads to application highlights, such as generalizations and extensions of the classical uniqueness result of Chentsov or the Cramer-Rao inequality. Additionally, several new application fields of information geometry are highlighted, for instance hierarchical and graphical models, complexity theory, population genetics, or Markov Chain Monte Carlo.

The book will be of interest to mathematicians who are interested in geometry, information theory, or the foundations of statistics, to statisticians as well as to scientists interested in the mathematical foundations of complex systems.

on
Desktop
Tablet
Mobile

You Can Find This eBook In

Non-FictionMathematicsProbability & StatisticsComputing & I.T.Graphical & Digital Media Applications3D Graphics & ModellingGeometryDifferential & Riemannian GeometryAnalytic GeometryCalculus & Mathematical AnalysisFunctional Analysis & TransformsApplied Mathematics
Computer Programming & Software DevelopmentAlgorithms & Data StructuresAlgebraic GeometryDatabasesComputer ScienceArtificial IntelligenceReference, Information & Interdisciplinary SubjectsResearch & InformationInformation theoryCybernetics & Systems TheoryLibrary & Info SciencesLibrary & Information ServicesDiscrete Mathematics

More in Probability & Statistics

An Introduction to Stochastic Modeling - Gabriel Lord

eBOOK

An Introduction to Stochastic Modeling

eBook

RRP $145.41

$130.99

10%
OFF
untitled - TBC ANZ

eBOOK

untitled

eBook

$31.99

This product is categorised by