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| Document Type: | Book |
|---|---|
| All Authors / Contributors: |
R M Dudley |
| ISBN: | 9780521052214 0521052211 |
| OCLC Number: | 664562224 |
| Description: | xiv, 436 p. : ill. ; 24 cm. |
| Contents: | 1. Introduction: Donsker's theorem, metric entropy, and inequalitites 2. Gaussian measures and processes 3. Foundations of uniform central limit theorems: Donsker classes 4. Vapnik-Cervonenkis combinatorics 5. Measurability 6. Limit theorems for Vapnik-Cervonenkis 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. |
| Series Title: | Cambridge studies in advanced mathematics, 63. |
| Responsibility: | R.M. Dudley. |
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'It is for certain that this will soon be a classic piece of work in the empirical process literature.' N. D. C. Veraberbeke, ISI Short Book Reviews 'The material of the book is very well organized, and incorporates recent developments ... an invaluable reference to researchers in this field ... it has been written in a style that makes it accessible to students; proofs have been carried out with meticulous care, and definitions are well motivated.' Erich Berger, Bulletin of the London Mathematical Society Read more...
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