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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
On the Estimation of Multiple Random Integrals and U-Statistics

On the Estimation of Multiple Random Integrals and U-Statistics

Major, Péter

Paperback

Series: Lecture Notes in Mathematics, Book 2079

Probability & Statistics

ISBN10: 3642376169
ISBN13: 9783642376160
Publisher: Springer
Published: Jul 8 2013
Pages: 288
Weight: 0.95
Height: 0.64 Width: 6.14 Depth: 9.21
Language: English
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.

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