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On the Estimation of Multiple Random Integrals and U-Statistics

フォーマット:
電子ブック
責任表示:
by Péter Major
言語:
英語
出版情報:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
形態:
XIII, 288 p. 11 illus : online resource
著者名:
シリーズ名:
Lecture Notes in Mathematics ; 2079
目次情報:
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
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
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書誌ID:
NB00096650  CiNiibooks
ISBN:
9783642376177 [3642376177]  CiNii Books  Webcat Plus  Google Books
9783642376160 [3642376169]  CiNii Books  Webcat Plus  Google Books
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1. On the estimation of multiple random integrals and U-statistics
Péter Major , Springer , 2013

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