Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction: Donsker's Theorem, Metric Entropy, and Inequalities
- 2 Gaussian Measures and Processes; Sample Continuity
- 3 Foundations of Uniform Central Limit Theorems: Donsker Classes
- 4 Vapnik-Červonenkis Combinatorics
- 5 Measurability
- 6 Limit Theorems for Vapnik-Červonenkis and Related Classes
- 7 Metric Entropy, with Inclusion and Bracketing
- 8 Approximation of Functions and Sets
- 9 Sums in General Banach Spaces and Invariance Principles
- 10 Universal and Uniform Central Limit Theorems
- 11 The Two-Sample Case, the Bootstrap, and Confidence Sets
- 12 Classes of Sets or Functions Too Large for Central Limit Theorems
- Appendix A Differentiating under an Integral Sign
- Appendix B Multinomial Distributions
- Appendix C Measures on Nonseparable Metric Spaces
- Appendix D An Extension of Lusin's Theorem
- Appendix E Bochner and Pettis Integrals
- Appendix F Nonexistence of Types of Linear Forms on Some Spaces
- Appendix G Separation of Analytic Sets; Borel Injections
- Appendix H Young-Orlicz Spaces
- Appendix I Modifications and Versions of Isonormal Processes
- Subject Index
- Author Index
- Index of Notation
Contents
Published online by Cambridge University Press: 20 May 2010
Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction: Donsker's Theorem, Metric Entropy, and Inequalities
- 2 Gaussian Measures and Processes; Sample Continuity
- 3 Foundations of Uniform Central Limit Theorems: Donsker Classes
- 4 Vapnik-Červonenkis Combinatorics
- 5 Measurability
- 6 Limit Theorems for Vapnik-Červonenkis and Related Classes
- 7 Metric Entropy, with Inclusion and Bracketing
- 8 Approximation of Functions and Sets
- 9 Sums in General Banach Spaces and Invariance Principles
- 10 Universal and Uniform Central Limit Theorems
- 11 The Two-Sample Case, the Bootstrap, and Confidence Sets
- 12 Classes of Sets or Functions Too Large for Central Limit Theorems
- Appendix A Differentiating under an Integral Sign
- Appendix B Multinomial Distributions
- Appendix C Measures on Nonseparable Metric Spaces
- Appendix D An Extension of Lusin's Theorem
- Appendix E Bochner and Pettis Integrals
- Appendix F Nonexistence of Types of Linear Forms on Some Spaces
- Appendix G Separation of Analytic Sets; Borel Injections
- Appendix H Young-Orlicz Spaces
- Appendix I Modifications and Versions of Isonormal Processes
- Subject Index
- Author Index
- Index of Notation
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- Uniform Central Limit Theorems , pp. ix - xiiPublisher: Cambridge University PressPrint publication year: 1999