Weak Convergence and Empirical Processes With Applications to Statistics /
This book provides an account of weak convergence theory, empirical processes, and their application to a wide variety of problems in statistics. The first part of the book presents a thorough treatment of stochastic convergence in its various forms. Part 2 brings together the theory of empirical pr...
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| المؤلفون الرئيسيون: | , |
|---|---|
| مؤلف مشترك: | |
| التنسيق: | الكتروني كتاب الكتروني |
| اللغة: | الإنجليزية |
| منشور في: |
Cham :
Springer International Publishing : Imprint: Springer,
2023.
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| الطبعة: | 2nd ed. 2023. |
| سلاسل: | Springer Series in Statistics,
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://doi.org/10.1007/978-3-031-29040-4 |
| الوسوم: |
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| LEADER | 00000nam a22000005i 4500 | ||
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| 001 | 978-3-031-29040-4 | ||
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| 008 | 230711s2023 sz | s |||| 0|eng d | ||
| 020 | |a 9783031290404 |9 978-3-031-29040-4 | ||
| 024 | 7 | |a 10.1007/978-3-031-29040-4 |2 doi | |
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| 082 | 0 | 4 | |a 519 |2 23 |
| 100 | 1 | |a van der Vaart, A. W. |e author. |0 (orcid)0000-0002-8074-2375 |1 https://orcid.org/0000-0002-8074-2375 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Weak Convergence and Empirical Processes |h [electronic resource] : |b With Applications to Statistics / |c by A. W. van der Vaart, Jon A. Wellner. |
| 250 | |a 2nd ed. 2023. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2023. | |
| 300 | |a XVII, 679 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Springer Series in Statistics, |x 2197-568X | |
| 505 | 0 | |a Preface -- Reading Guide -- Part I: Stochastic Convergence -- Part 2: Empirical Processes -- Part 3: Statistical Applications -- Appendix -- References -- Author Index -- Subject Index -- List of Symbols. | |
| 520 | |a This book provides an account of weak convergence theory, empirical processes, and their application to a wide variety of problems in statistics. The first part of the book presents a thorough treatment of stochastic convergence in its various forms. Part 2 brings together the theory of empirical processes in a form accessible to statisticians and probabilists. In Part 3, the authors cover a range of applications in statistics including rates of convergence of estimators; limit theorems for M− and Z−estimators; the bootstrap; the functional delta-method and semiparametric estimation. Most of the chapters conclude with “problems and complements.” Some of these are exercises to help the reader’s understanding of the material, whereas others are intended to supplement the text. This second edition includes many of the new developments in the field since publication of the first edition in 1996: Glivenko-Cantelli preservation theorems; new bounds on expectations ofsuprema of empirical processes; new bounds on covering numbers for various function classes; generic chaining; definitive versions of concentration bounds; and new applications in statistics including penalized M-estimation, the lasso, classification, and support vector machines. The approximately 200 additional pages also round out classical subjects, including chapters on weak convergence in Skorokhod space, on stable convergence, and on processes based on pseudo-observations. | ||
| 650 | 0 | |a Statistics . | |
| 650 | 1 | 4 | |a Applied Statistics. |
| 650 | 2 | 4 | |a Statistical Theory and Methods. |
| 650 | 2 | 4 | |a Bayesian Inference. |
| 700 | 1 | |a Wellner, Jon A. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031290381 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031290398 |
| 830 | 0 | |a Springer Series in Statistics, |x 2197-568X | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-29040-4 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||