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Convergence of stochastic processes

Author: David Pollard
Publisher: New York : Springer-Verlag, ©1984.
Series: Springer series in statistics.
Edition/Format:   Print book : EnglishView all editions and formats
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Genre/Form: Stochastischser Prozeß
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: David Pollard
ISBN: 0387909907 9780387909905 3540909907 9783540909903
OCLC Number: 10483973
Notes: Includes indexes.
Description: xiv, 215 pages ; 24 cm.
Contents: I Functional on Stochastic Processes.- 1. Stochastic Processes as Random Functions.- Notes.- Problems.- II Uniform Convergence of Empirical Measures.- 1. Uniformity and Consistency.- 2. Direct Approximation.- 3. The Combinatorial Method.- 4. Classes of Sets with Polynomial Discrimination.- 5. Classes of Functions.- 6. Rates of Convergence.- Notes.- Problems.- III Convergence in Distribution in Euclidean Spaces.- 1. The Definition.- 2. The Continuous Mapping Theorem.- 3. Expectations of Smooth Functions.- 4. The Central Limit Theorem.- 5. Characteristic Functions.- 6. Quantile Transformations and Almost Sure Representations.- Notes.- Problems.- IV Convergence in Distribution in Metric Spaces.- 1. Measurability.- 2. The Continuous Mapping Theorem.- 3. Representation by Almost Surely Convergent Sequences.- 4. Coupling.- 5. Weakly Convergent Subsequences.- Notes.- Problems.- V The Uniform Metric on Spaces of Cadlag Functions.- 1. Approximation of Stochastic Processes.- 2. Empirical Processes.- 3. Existence of Brownian Bridge and Brownian Motion.- 4. Processes with Independent Increments.- 5. Infinite Time Scales.- 6. Functional of Brownian Motion and Brownian Bridge.- Notes.- Problems.- VI The Skorohod Metric on D(0, ?).- 1. Properties of the Metric.- 2. Convergence in Distribution.- Notes.- Problems.- VII Central Limit Theorems.- 1. Stochastic Equicontinuity.- 2. Chaining.- 3. Gaussian Processes.- 4. Random Covering Numbers.- 5. Empirical Central Limit Theorems.- 6. Restricted Chaining.- Notes.- Problems.- VIII Martingales.- 1. A Central Limit Theorem for Martingale-Difference Arrays.- 2. Continuous Time Martingales.- 3. Estimation from Censored Data.- Notes.- Problems.- Appendix A Stochastic-Order Symbols.- Appendix B Exponential Inequalities.- Notes.- Problems.- Appendix C Measurability.- Notes.- Problems.- References.- Author Index.
Series Title: Springer series in statistics.
Responsibility: David Pollard.

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<http:\/\/www.worldcat.org\/oclc\/10483973<\/a>> # Convergence of stochastic processes<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Book<\/a>, schema:CreativeWork<\/a> ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"10483973<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/nyu<\/a>> ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/dbpedia.org\/resource\/New_York_City<\/a>> ; # New York<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/3371169#Topic\/convergence_mathematiques<\/a>> ; # Convergence (math\u00E9matiques)<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/3371169#Topic\/stochastic_processes<\/a>> ; # Stochastic processes<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/3371169#Topic\/31_70_probability<\/a>> ; # 31.70 probability<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/dewey.info\/class\/519.2\/e19\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/3371169#Topic\/konvergenz<\/a>> ; # Konvergenz<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/3371169#Topic\/processus_stochastiques<\/a>> ; # Processus stochastiques<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/3371169#Topic\/stochastische_processen<\/a>> ; # Stochastische processen<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/3371169#Topic\/convergence<\/a>> ; # Convergence<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/3371169#Topic\/stochastischer_prozess<\/a>> ; # Stochastischer Prozess<\/span>\n\u00A0\u00A0\u00A0\nschema:bookFormat<\/a> bgn:PrintBook<\/a> ;\u00A0\u00A0\u00A0\nschema:copyrightYear<\/a> \"1984<\/span>\" ;\u00A0\u00A0\u00A0\nschema:creator<\/a> <http:\/\/viaf.org\/viaf\/19750933<\/a>> ; # David Pollard<\/span>\n\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"1984<\/span>\" ;\u00A0\u00A0\u00A0\nschema:exampleOfWork<\/a> <http:\/\/worldcat.org\/entity\/work\/id\/3371169<\/a>> ;\u00A0\u00A0\u00A0\nschema:genre<\/a> \"Stochastischser Proze\u00DF<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:inLanguage<\/a> \"en<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isPartOf<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/3371169#Series\/springer_series_in_statistics<\/a>> ; # Springer series in statistics.<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Convergence of stochastic processes<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:productID<\/a> \"10483973<\/span>\" ;\u00A0\u00A0\u00A0\nschema:publication<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/10483973#PublicationEvent\/new_york_springer_verlag_1984<\/a>> ;\u00A0\u00A0\u00A0\nschema:publisher<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/3371169#Agent\/springer_verlag<\/a>> ; # Springer-Verlag<\/span>\n\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/digitool.hbz-nrw.de:1801\/webclient\/DeliveryManager?pid=2295140&custom%5Fatt%5F2=simple%5Fviewer<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/digitool.hbz-nrw.de:1801\/webclient\/DeliveryManager?pid=2295140&custom_att_2=simple_viewer<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/swbplus.bsz-bw.de\/bsz010886559cov.htm<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/www.gbv.de\/dms\/hbz\/toc\/ht003250055.pdf<\/a>> ;\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9783540909903<\/a>> ;\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9780387909905<\/a>> ;\u00A0\u00A0\u00A0\numbel:isLike<\/a> <http:\/\/d-nb.info\/850141540<\/a>> ;\u00A0\u00A0\u00A0\nwdrs:describedby<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/10483973<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

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<http:\/\/experiment.worldcat.org\/entity\/work\/data\/3371169#Topic\/konvergenz<\/a>> # Konvergenz<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Konvergenz<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
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