skip to content
Weak convergence and empirical processes : with applications to statistics Preview this item
ClosePreview this item
Checking...

Weak convergence and empirical processes : with applications to statistics

Author: Aad W van der Vaart; Jon A Wellner
Publisher: New York ; Berlin : Springer, 1996.
Series: Springer series in statistics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This book explores weak convergence theory and empirical processes and their applications to many applications in statistics. Part two offers the theory of empirical processes in a form accessible to  Read more...

Rating:

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

Subjects
More like this

Find a copy online

Find a copy in the library

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

Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Aad W van der Vaart; Jon A Wellner
ISBN: 0387946403 9780387946405
OCLC Number: 247036857
Description: XVI, 508 Seiten.
Contents: 1.1. Introduction.- 1.2. Outer Integrals and Measurable Majorants.- 1.3. Weak Convergence.- 1.4. Product Spaces.- 1.5. Spaces of Bounded Functions.- 1.6. Spaces of Locally Bounded Functions.- 1.7. The Ball Sigma-Field and Measurability of Suprema.- 1.8. Hilbert Spaces.- 1.9. Convergence: Almost Surely and in Probability.- 1.10. Convergence: Weak, Almost Uniform, and in Probability.- 1.11. Refinements.- 1.12. Uniformity and Metrization.- 2.1. Introduction.- 2.2. Maximal Inequalities and Covering Numbers.- 2.3. Symmetrization and Measurability.- 2.4. Glivenko-Cantelli Theorems.- 2.5. Donsker Theorems.- 2.6. Uniform Entropy Numbers.- 2.7. Bracketing Numbers.- 2.8. Uniformity in the Underlying Distribution.- 2.9. Multiplier Central Limit Theorems.- 2.10. Permanence of the Donsker Property.- 2.11. The Central Limit Theorem for Processes.- 2.12. Partial-Sum Processes.- 2.13. Other Donsker Classes.- 2.14. Tail Bounds.- 3.1. Introduction.- 3.2. M-Estimators.- 3.3. Z-Estimators.- 3.4. Rates of Convergence.- 3.5. Random Sample Size, Poissonization and Kac Processes.- 3.6. The Bootstrap.- 3.7. The Two-Sample Problem.- 3.8. Independence Empirical Processes.- 3.9. The Delta-Method.- 3.10. Contiguity.- 3.11. Convolution and Minimax Theorems.- A. Appendix.- A.1. Inequalities.- A.2. Gaussian Processes.- A.2.1. Inequalities and Gaussian Comparison.- A.2.2. Exponential Bounds.- A.2.3. Majorizing Measures.- A.2.4. Further Results.- A.3. Rademacher Processes.- A.4. Isoperimetric Inequalities for Product Measures.- A.5. Some Limit Theorems.- A.6. More Inequalities.- A.6.1. Binomial Random Variables.- A.6.2. Multinomial Random Vectors.- A.6.3. Rademacher Sums.- Notes.- References.- Author Index.- List of Symbols.
Series Title: Springer series in statistics.
Responsibility: Aad W. van der Vaart ; Jon A. Wellner.
More information:

Reviews

Editorial reviews

Publisher Synopsis

"...succeeds and complements Billingsleys classic work and will become the standard source of study and reference for students and researchers...." The Statistician

 
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/247036857> # Weak convergence and empirical processes : with applications to statistics
    a schema:Book, schema:CreativeWork ;
    library:oclcnum "247036857" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/36006743#Place/berlin> ; # Berlin
    library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
    schema:about <http://experiment.worldcat.org/entity/work/data/36006743#Topic/grenzwertsatz> ; # Grenzwertsatz
    schema:about <http://id.worldcat.org/fast/877195> ; # Convergence
    schema:about <http://experiment.worldcat.org/entity/work/data/36006743#Topic/konvergenz_math_stochastischer_prozess> ; # Konvergenz--(Math.)--Stochastischer Prozess
    schema:about <http://id.worldcat.org/fast/1133519> ; # Stochastic processes
    schema:about <http://experiment.worldcat.org/entity/work/data/36006743#Organization/lehrbuch> ; # Lehrbuch
    schema:about <http://id.worldcat.org/fast/1104676> ; # Sampling (Statistics)
    schema:about <http://id.worldcat.org/fast/895600> ; # Distribution (Probability theory)
    schema:about <http://experiment.worldcat.org/entity/work/data/36006743#Topic/stochastischer_prozess_konvergenz_math> ; # Stochastischer Prozess--Konvergenz (Math.)
    schema:about <http://experiment.worldcat.org/entity/work/data/36006743#Person/wahrscheinlichkeitstheorie> ; # Wahrscheinlichkeitstheorie
    schema:about <http://dewey.info/class/519.2/e22/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/36006743#Topic/stochastische_konvergenz> ; # Stochastische Konvergenz
    schema:about <http://experiment.worldcat.org/entity/work/data/36006743#Topic/empirischer_prozess> ; # Empirischer Prozess
    schema:bookFormat bgn:PrintBook ;
    schema:contributor <http://viaf.org/viaf/108174608> ; # Jon A. Wellner
    schema:creator <http://viaf.org/viaf/10083052> ; # Aad W van der Vaart
    schema:datePublished "1996" ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/36006743> ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/36006743#Series/springer_series_in_statistics> ; # Springer series in statistics.
    schema:name "Weak convergence and empirical processes : with applications to statistics" ;
    schema:productID "247036857" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/247036857#PublicationEvent/new_york_berlin_springer_1996> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/36006743#Agent/springer> ; # Springer
    schema:url <http://www.gbv.de/dms/hbz/toc/ht007157319.pdf> ;
    schema:url <http://www.gbv.de/dms/goettingen/212480170.pdf> ;
    schema:url <http://catdir.loc.gov/catdir/enhancements/fy0815/95049099t.html> ;
    schema:url <http://d-nb.info/947669558/04> ;
    schema:workExample <http://worldcat.org/isbn/9780387946405> ;
    umbel:isLike <http://d-nb.info/947669558> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/247036857> ;
    .


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/36006743#Person/wahrscheinlichkeitstheorie> # Wahrscheinlichkeitstheorie
    a schema:Person ;
    schema:name "Wahrscheinlichkeitstheorie" ;
    .

<http://experiment.worldcat.org/entity/work/data/36006743#Series/springer_series_in_statistics> # Springer series in statistics.
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/247036857> ; # Weak convergence and empirical processes : with applications to statistics
    schema:name "Springer series in statistics." ;
    schema:name "Springer series in statistics" ;
    .

<http://experiment.worldcat.org/entity/work/data/36006743#Topic/empirischer_prozess> # Empirischer Prozess
    a schema:Intangible ;
    schema:name "Empirischer Prozess" ;
    .

<http://experiment.worldcat.org/entity/work/data/36006743#Topic/konvergenz_math_stochastischer_prozess> # Konvergenz--(Math.)--Stochastischer Prozess
    a schema:Intangible ;
    schema:name "Konvergenz--(Math.)--Stochastischer Prozess" ;
    .

<http://experiment.worldcat.org/entity/work/data/36006743#Topic/stochastische_konvergenz> # Stochastische Konvergenz
    a schema:Intangible ;
    schema:name "Stochastische Konvergenz" ;
    .

<http://experiment.worldcat.org/entity/work/data/36006743#Topic/stochastischer_prozess_konvergenz_math> # Stochastischer Prozess--Konvergenz (Math.)
    a schema:Intangible ;
    schema:name "Stochastischer Prozess--Konvergenz (Math.)" ;
    .

<http://id.worldcat.org/fast/1104676> # Sampling (Statistics)
    a schema:Intangible ;
    schema:name "Sampling (Statistics)" ;
    .

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

<http://id.worldcat.org/fast/877195> # Convergence
    a schema:Intangible ;
    schema:name "Convergence" ;
    .

<http://id.worldcat.org/fast/895600> # Distribution (Probability theory)
    a schema:Intangible ;
    schema:name "Distribution (Probability theory)" ;
    .

<http://viaf.org/viaf/10083052> # Aad W van der Vaart
    a schema:Person ;
    schema:familyName "Vaart" ;
    schema:givenName "Aad W. van der" ;
    schema:name "Aad W van der Vaart" ;
    .

<http://viaf.org/viaf/108174608> # Jon A. Wellner
    a schema:Person ;
    schema:familyName "Wellner" ;
    schema:givenName "Jon A." ;
    schema:name "Jon A. Wellner" ;
    .

<http://worldcat.org/isbn/9780387946405>
    a schema:ProductModel ;
    schema:isbn "0387946403" ;
    schema:isbn "9780387946405" ;
    .

<http://www.worldcat.org/title/-/oclc/247036857>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
    schema:about <http://www.worldcat.org/oclc/247036857> ; # Weak convergence and empirical processes : with applications to statistics
    schema:dateModified "2018-05-30" ;
    void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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