|
1 Introduction |
|
|
2 Motivation of the investigation. Discussion of some problems |
|
|
3 Some estimates about sums of independent random variables |
|
|
4 On the supremum of a nice class of partial sums |
|
|
5 Vapnik– Červonenkis classes and L2-dense classes of functions |
|
|
6 The proof of Theorems 4.1 and 4.2 on the supremum of random sums |
|
|
7 The completion of the proof of Theorem 4.1 |
|
|
8 Formulation of the main results of this work |
|
|
9 Some results about U-statistics |
|
|
10 MultipleWiener–Itô integrals and their properties |
|
|
11 The diagram formula for products of degenerate U-statistics |
|
|
12 The proof of the diagram formula for U-statistics |
|
|
13 The proof of Theorems 8.3, 8.5 and Example 8.7 |
|
|
14 Reduction of the main result in this work |
|
|
15 The strategy of the proof for the main result of this work |
|
|
16 A symmetrization argument |
|
|
17 The proof of the main result |
|
|
18 An overview of the results and a discussion of the literature |
|
|
1 Introduction |
|
|
2 Motivation of the investigation. Discussion of some problems |
|
|
3 Some estimates about sums of independent random variables |
|
ＥＢ
