skip to content
Topics in statistical information theory Preview this item
ClosePreview this item
Checking...

Topics in statistical information theory

Author: Solomon Kullback; J C Keegel; J H Kullback
Publisher: Berlin ; New York : Springer-Verlag, ©1987.
Series: Lecture notes in statistics (Springer-Verlag), v. 42.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The relevance of information theory to statistical theory and its applications to stochastic processes is a unifying influence in these TOPICS. The integral representation of discrimination information is presented in these TOPICS reviewing various approaches used in the literature, and is also developed herein using intrinsically information-theoretic methods. Log likelihood ratios associated with various  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: Print version:
Kullback, Solomon.
Topics in statistical information theory.
Berlin ; New York : Springer-Verlag, ©1987
(DLC) 88123671
(OCoLC)16896794
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Solomon Kullback; J C Keegel; J H Kullback
ISBN: 9781461580805 1461580803
OCLC Number: 654733989
Description: 1 online resource (ix, 158 pages).
Contents: Introduction: Purpose. Separable Sigma-Algebras. Probability Space --
Discrimination Information and Sufficiency in a Sub-Sigma-Algebra: Discrimination Information-Integral Representation. Discrimination Information in a Sub-Sigma-Algebra. Sufficiency. Minimium Discrimination Information Theorem. Analysis of Information --
limiting Properties: Lower Semi-Continuity. Sequences of Sub-Sigma-Algebras. An Information Theoretic Approach. Monotonicity --
Product Measure Spaces: Generalized Contingency Tables. Markov Processes. Ornstein-Uhlenbeck Process. The Wiener Process. Different Covariance Functions. Gaussian Markov Processes --
Linear Discriminant Functional: Representation of a Random Vector. Examples. Poisson Process --
Canonical Correlation: Spectral Densities as Eigenvalues. Discrimination Information-Different Covariance Functions. Stationarily Related Processes --
References --
Index.
Series Title: Lecture notes in statistics (Springer-Verlag), v. 42.
Responsibility: S. Kullback, J.C. Keegel, J.H. Kullback.

Abstract:

When reference is made to a section, equation, example, theorem or lemma within the same chapter only the section number or equation number, etc., is given. When the reference is to a section  Read more...

Reviews

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

Tags

Be the first.
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/654733989> # Topics in statistical information theory
    a schema:Book, schema:CreativeWork, schema:MediaObject ;
   library:oclcnum "654733989" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/14116329#Place/berlin> ; # Berlin
   schema:about <http://experiment.worldcat.org/entity/work/data/14116329#Topic/processus_stochastiques> ; # Processus stochastiques
   schema:about <http://dewey.info/class/519.5/e19/> ;
   schema:about <http://id.worldcat.org/fast/1133519> ; # Stochastic processes
   schema:about <http://experiment.worldcat.org/entity/work/data/14116329#Topic/information_theorie_de_l_statistiques> ; # Information, Théorie de l'--Statistiques
   schema:about <http://experiment.worldcat.org/entity/work/data/14116329#Topic/stochastischer_prozess> ; # Stochastischer Prozess
   schema:about <http://id.worldcat.org/fast/973149> ; # Information theory
   schema:about <http://id.worldcat.org/fast/1012127> ; # Mathematical statistics
   schema:about <http://experiment.worldcat.org/entity/work/data/14116329#Topic/statistique_mathematique> ; # Statistique mathématique
   schema:about <http://experiment.worldcat.org/entity/work/data/14116329#Topic/information_theorie_de_l> ; # Information, Théorie de l'
   schema:about <http://experiment.worldcat.org/entity/work/data/14116329#Topic/informationstheorie> ; # Informationstheorie
   schema:bookFormat schema:EBook ;
   schema:contributor <http://viaf.org/viaf/93939032> ; # John C. Keegel
   schema:contributor <http://viaf.org/viaf/94543856> ; # Joseph H. Kullback
   schema:copyrightYear "1987" ;
   schema:creator <http://viaf.org/viaf/14991291> ; # Solomon Kullback
   schema:datePublished "1987" ;
   schema:description "Introduction: Purpose. Separable Sigma-Algebras. Probability Space -- Discrimination Information and Sufficiency in a Sub-Sigma-Algebra: Discrimination Information-Integral Representation. Discrimination Information in a Sub-Sigma-Algebra. Sufficiency. Minimium Discrimination Information Theorem. Analysis of Information -- limiting Properties: Lower Semi-Continuity. Sequences of Sub-Sigma-Algebras. An Information Theoretic Approach. Monotonicity -- Product Measure Spaces: Generalized Contingency Tables. Markov Processes. Ornstein-Uhlenbeck Process. The Wiener Process. Different Covariance Functions. Gaussian Markov Processes -- Linear Discriminant Functional: Representation of a Random Vector. Examples. Poisson Process -- Canonical Correlation: Spectral Densities as Eigenvalues. Discrimination Information-Different Covariance Functions. Stationarily Related Processes -- References -- Index."@en ;
   schema:description "The relevance of information theory to statistical theory and its applications to stochastic processes is a unifying influence in these TOPICS. The integral representation of discrimination information is presented in these TOPICS reviewing various approaches used in the literature, and is also developed herein using intrinsically information-theoretic methods. Log likelihood ratios associated with various stochastic processes are computed by an application of minimum discrimination information estimates. Linear discriminant functionals are used in the information-theoretic analysis of a variety of stochastic processes. Sections are numbered serially within each chapter, with a decimal notation for subsections. Equations, examples, theorems and lemmas, are numbered serially within each section with a decimal notation. The digits to the left of the decimal point represent the section and the digits to the right of the decimal point the serial number within the section. When reference is made to a section, equation, example, theorem or lemma within the same chapter only the section number or equation number, etc., is given. When the reference is to a section, equation, etc., in a different chapter, then in addition to the section or equation etc., number, the chapter number is also given. References to the bibliography are by the author's name followed by the year of publication in parentheses. The transpose of a matrix is denoted by a prime; thus one-row matrices are denoted by primes as the transposes of one-column matrices (vectors)."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/14116329> ;
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/14116329#Series/lecture_notes_in_statistics_springer_verlag> ; # Lecture notes in statistics (Springer-Verlag) ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/14116329#Series/lecture_notes_in_statistics> ; # Lecture notes in statistics ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/16896794> ;
   schema:name "Topics in statistical information theory"@en ;
   schema:productID "654733989" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/654733989#PublicationEvent/berlin_new_york_springer_verlag_1987> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/14116329#Agent/springer_verlag> ; # Springer-Verlag
   schema:url <http://books.google.com/books?id=LZ8ZAQAAIAAJ> ;
   schema:url <http://link.springer.com/10.1007/978-1-4615-8080-5> ;
   schema:url <http://dx.doi.org/10.1007/978-1-4615-8080-5> ;
   schema:workExample <http://worldcat.org/isbn/9781461580805> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/654733989> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/14116329#Agent/springer_verlag> # Springer-Verlag
    a bgn:Agent ;
   schema:name "Springer-Verlag" ;
    .

<http://experiment.worldcat.org/entity/work/data/14116329#Series/lecture_notes_in_statistics> # Lecture notes in statistics ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/654733989> ; # Topics in statistical information theory
   schema:name "Lecture notes in statistics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/14116329#Series/lecture_notes_in_statistics_springer_verlag> # Lecture notes in statistics (Springer-Verlag) ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/654733989> ; # Topics in statistical information theory
   schema:name "Lecture notes in statistics (Springer-Verlag) ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/14116329#Topic/information_theorie_de_l> # Information, Théorie de l'
    a schema:Intangible ;
   schema:name "Information, Théorie de l'"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/14116329#Topic/information_theorie_de_l_statistiques> # Information, Théorie de l'--Statistiques
    a schema:Intangible ;
   schema:name "Information, Théorie de l'--Statistiques"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/14116329#Topic/informationstheorie> # Informationstheorie
    a schema:Intangible ;
   schema:name "Informationstheorie"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/14116329#Topic/processus_stochastiques> # Processus stochastiques
    a schema:Intangible ;
   schema:name "Processus stochastiques"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/14116329#Topic/statistique_mathematique> # Statistique mathématique
    a schema:Intangible ;
   schema:name "Statistique mathématique"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/14116329#Topic/stochastischer_prozess> # Stochastischer Prozess
    a schema:Intangible ;
   schema:name "Stochastischer Prozess"@en ;
    .

<http://id.worldcat.org/fast/1012127> # Mathematical statistics
    a schema:Intangible ;
   schema:name "Mathematical statistics"@en ;
    .

<http://id.worldcat.org/fast/1133519> # Stochastic processes
    a schema:Intangible ;
   schema:name "Stochastic processes"@en ;
    .

<http://id.worldcat.org/fast/973149> # Information theory
    a schema:Intangible ;
   schema:name "Information theory"@en ;
    .

<http://viaf.org/viaf/14991291> # Solomon Kullback
    a schema:Person ;
   schema:familyName "Kullback" ;
   schema:givenName "Solomon" ;
   schema:name "Solomon Kullback" ;
    .

<http://viaf.org/viaf/93939032> # John C. Keegel
    a schema:Person ;
   schema:familyName "Keegel" ;
   schema:givenName "John C." ;
   schema:givenName "J. C." ;
   schema:name "John C. Keegel" ;
    .

<http://viaf.org/viaf/94543856> # Joseph H. Kullback
    a schema:Person ;
   schema:familyName "Kullback" ;
   schema:givenName "Joseph H." ;
   schema:givenName "J. H." ;
   schema:name "Joseph H. Kullback" ;
    .

<http://worldcat.org/isbn/9781461580805>
    a schema:ProductModel ;
   schema:isbn "1461580803" ;
   schema:isbn "9781461580805" ;
    .

<http://www.worldcat.org/oclc/16896794>
    a schema:CreativeWork ;
   rdfs:label "Topics in statistical information theory." ;
   schema:description "Print version:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/654733989> ; # Topics in statistical information theory
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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