Preface (vii)
Reading Guide (ix)
Part I: Stochastic Convergence
1.1 Introduction: (1-6)
1.2 Outer Integrals and Measurable Majorants: (7-16)
1.3 Weak Convergence: (17 - 30)
1.4 Product Spaces: (31-35)
1.5 Spaces of Bounded Functions: (36 - 44)
1.6 Spaces of Locally Bounded Functions: (45 - 46)
1.7 The Ball Sigma-Field and Measurability of Suprema: (47 - 50)
1.8 Hilbert Spaces: (51 - 53)
1.9 Convergence: Almost surely and in probability: (54 - 58)
1.10 Convergence: Weak, Almost Uniform, and in Probabil- ity: (59 - 68)
1.11 Re_nements: (69 - 72)
1.12 Uniformity and Metrization: (73 - 76)
1.13 Skorokhod Space (new): (77 - 106)
1.14 Notes: (107 - 111)
Part 2: Empirical Processes: (113 - 370)
2.1 Introduction: (114 - 129)
2.2 Maximal Inequalities and Covering Numbers: (130 - 151)
2.3 Symmetrization and Measurability: (152 - 167)
2.4 Glivenko-Cantelli Theorems: (168 - 174)
2.5 Donsker Theorems: (175 - 181)
2.6 Uniform Entropy Numbers: (182 - 206)
2.7 Entropies of Function Classes (new title): (207 - 238)
2.8 Uniformity in the Underlying Distribution: (239 - 248)
2.9 Multiplier Central Limit Theorems: (249 - 262)
2.10 Permanence of the Glivenko-Cantelli and Donsker Prop- erties: (263 - 279)
2.11 The Central Limit Theorem for Processes: (280 - 299)
2.12 Partial Sum Processes: (300 - 306)
2.13 Other Donsker Classes: (307 - 312)
2.14 Maximal Inequalities and Tail Bounds: (313 - 348)
2.15 Concentration (new): (349 - 362)
2.16 Notes: (363 - 370)
Part 3: Statistical Applications: (371 - 558)
3.1 Introduction: (372 - 377)
3.2 M-Estimators: (378 - 403)
3.3 Z-Estimators: (404 - 415)
3.4 Rates of Convergence: (416 - 456)
3.5 Model Selection (new): (457 - 467)
3.6 Random Sample Size, Poissonization, and Kac Processes: (468 - 473)
3.7 Bootstrap: (474 - 488) 3.8 Two-Sample Problem: (489 - 495)
3.9 Independence Empirical Processes: (496 - 500)
3.10 Delta Method: (501 - 532)) 3.11 Contiguity: (533 - 543)
3.12 Convolution and Minimax Theorems: (544 - 554)
3.13 Random Empirical Processes: (555 - 572)
3.14 Notes: (573 - 579)
Appendix: (581 - 623)
A.1 Inequalities: (582 - 589)
A.2 Gaussian Processes: (590 - 605)
A.3 Rademacher Processes: (606 - 607)
A.4 Isoperimetric Inequalities for Product Measures: (608 - 612))
A.5 Some Limit Theorems: (613 - 615)
A.6 More Inequalities: (616 - 621)
Notes: (622 - 623)
References (637)
Author Index (665)
Subject Index (669)
List of Symbols (676)