skip to content
Geometric modeling in probability and statistics Preview this item
ClosePreview this item
Checking...

Geometric modeling in probability and statistics

Author: Ovidiu Calin; Constantin Udriște
Publisher: Cham : Springer, 2014.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book covers topics of Informational Geometry, a field which deals with the differential geometric study of the manifold probability density functions. This is a field that is increasingly attracting the interest of researchers from many different areas of science, including mathematics, statistics, geometry, computer science, signal processing, physics and neuroscience. It is the authors' hope that the present  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Ovidiu Calin; Constantin Udriște
ISBN: 9783319077796 3319077791 3319077783 9783319077789
OCLC Number: 884782328
Description: 1 online resource (xxiii, 375 pages) : illustrations (some color)
Contents: Part I: The Geometry of Statistical Models --
Statistical Models --
Explicit Examples --
Entropy on Statistical Models --
Kullback-Leibler Relative Entropy --
Informational Energy --
Maximum Entropy Distributions --
Part II: Statistical Manifolds --
An Introduction to Manifolds --
Dualistic Structure --
Dual Volume Elements --
Dual Laplacians --
Contrast Functions Geometry --
Contrast Functions on Statistical Models --
Statistical Submanifolds --
Appendix A: Information Geometry Calculator.
Responsibility: Ovidiu Calin, Constantin Udrişte.

Abstract:

This book covers topics of Informational Geometry, a field which deals with the differential geometric study of the manifold probability density functions. This is a field that is increasingly attracting the interest of researchers from many different areas of science, including mathematics, statistics, geometry, computer science, signal processing, physics and neuroscience. It is the authors' hope that the present book will be a valuable reference for researchers and graduate students in one of the aforementioned fields. This textbook is a unified presentation of differential geometry and probability theory, and constitutes a text for a course directed at graduate or advanced undergraduate students interested in applications of differential geometry in probability and statistics. The book contains over 100 proposed exercises meant to help students deepen their understanding, and it is accompanied by software that is able to provide numerical computations of several information geometric objects. The reader will understand a flourishing field of mathematics in which very few books have been written so far.

Reviews

Editorial reviews

Publisher Synopsis

"The book under review presents a conciseintroduction to the mathematical foundation of information geometry andcontains an overview of other related areas of interest and applications. ...This book Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/884782328> # Geometric modeling in probability and statistics
    a schema:CreativeWork, schema:Book, schema:MediaObject ;
   library:oclcnum "884782328" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/sz> ;
   schema:about <http://dewey.info/class/519.5/e23/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/2047012248#Topic/geometry_differential> ; # Geometry, Differential
   schema:about <http://experiment.worldcat.org/entity/work/data/2047012248#Topic/mathematical_statistics> ; # Mathematical statistics
   schema:author <http://experiment.worldcat.org/entity/work/data/2047012248#Person/udriste_constantin> ; # Constantin Udriște
   schema:author <http://experiment.worldcat.org/entity/work/data/2047012248#Person/calin_ovidiu> ; # Ovidiu Calin
   schema:bookFormat schema:EBook ;
   schema:datePublished "2014" ;
   schema:description "Part I: The Geometry of Statistical Models -- Statistical Models -- Explicit Examples -- Entropy on Statistical Models -- Kullback-Leibler Relative Entropy -- Informational Energy -- Maximum Entropy Distributions -- Part II: Statistical Manifolds -- An Introduction to Manifolds -- Dualistic Structure -- Dual Volume Elements -- Dual Laplacians -- Contrast Functions Geometry -- Contrast Functions on Statistical Models -- Statistical Submanifolds -- Appendix A: Information Geometry Calculator."@en ;
   schema:description "This book covers topics of Informational Geometry, a field which deals with the differential geometric study of the manifold probability density functions. This is a field that is increasingly attracting the interest of researchers from many different areas of science, including mathematics, statistics, geometry, computer science, signal processing, physics and neuroscience. It is the authors' hope that the present book will be a valuable reference for researchers and graduate students in one of the aforementioned fields. This textbook is a unified presentation of differential geometry and probability theory, and constitutes a text for a course directed at graduate or advanced undergraduate students interested in applications of differential geometry in probability and statistics. The book contains over 100 proposed exercises meant to help students deepen their understanding, and it is accompanied by software that is able to provide numerical computations of several information geometric objects. The reader will understand a flourishing field of mathematics in which very few books have been written so far."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/2047012248> ;
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isSimilarTo <http://worldcat.org/entity/work/data/2047012248#CreativeWork/> ;
   schema:name "Geometric modeling in probability and statistics"@en ;
   schema:productID "884782328" ;
   schema:url <http://link.springer.com/10.1007/978-3-319-07779-6> ;
   schema:url <https://login.libproxy.uregina.ca:8443/login?url=https://link.springer.com/openurl?genre=book&isbn=978-3-319-07778-9> ;
   schema:url <https://grinnell.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-07779-6> ;
   schema:url <https://link.springer.com/openurl?genre=book&isbn=978-3-319-07778-9> ;
   schema:url <http://link.springer.com/openurl?genre=book&isbn=978-3-319-07778-9> ;
   schema:url <http://dx.doi.org/10.1007/978-3-319-07779-6> ;
   schema:workExample <http://worldcat.org/isbn/9783319077796> ;
   schema:workExample <http://worldcat.org/isbn/9783319077789> ;
   schema:workExample <http://dx.doi.org/10.1007/978-3-319-07779-6> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/884782328> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/2047012248#Person/calin_ovidiu> # Ovidiu Calin
    a schema:Person ;
   schema:familyName "Calin" ;
   schema:givenName "Ovidiu" ;
   schema:name "Ovidiu Calin" ;
    .

<http://experiment.worldcat.org/entity/work/data/2047012248#Person/udriste_constantin> # Constantin Udriște
    a schema:Person ;
   schema:familyName "Udriște" ;
   schema:givenName "Constantin" ;
   schema:name "Constantin Udriște" ;
    .

<http://experiment.worldcat.org/entity/work/data/2047012248#Topic/geometry_differential> # Geometry, Differential
    a schema:Intangible ;
   schema:name "Geometry, Differential"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2047012248#Topic/mathematical_statistics> # Mathematical statistics
    a schema:Intangible ;
   schema:name "Mathematical statistics"@en ;
    .

<http://worldcat.org/entity/work/data/2047012248#CreativeWork/>
    a schema:CreativeWork ;
   schema:description "Printed edition:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/884782328> ; # Geometric modeling in probability and statistics
    .

<http://worldcat.org/isbn/9783319077789>
    a schema:ProductModel ;
   schema:isbn "3319077783" ;
   schema:isbn "9783319077789" ;
    .

<http://worldcat.org/isbn/9783319077796>
    a schema:ProductModel ;
   schema:isbn "3319077791" ;
   schema:isbn "9783319077796" ;
    .

<https://login.libproxy.uregina.ca:8443/login?url=https://link.springer.com/openurl?genre=book&isbn=978-3-319-07778-9>
   rdfs:comment "Full text available from SpringerLINK ebooks - English/International Collection (2014)" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.