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On the estimation of multiple random...

Major, Péter, (1947-)

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On the estimation of multiple random integrals and U-statistics /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	On the estimation of multiple random integrals and U-statistics // Péter Major.
Author:	Major, Péter,
Published:	Heidelberg ;Springer, : 2013,
Description:	xiii, 288 p. :ill ;24 cm.
Subject:	U-statistics. -
ISBN:	9783642376160 (pbk.) :

On the estimation of multiple random integrals and U-statistics /
Major, Péter,1947-

On the estimation of multiple random integrals and U-statistics /Péter Major. - Heidelberg ;Springer,2013 - xiii, 288 p. :ill ;24 cm. - Lecture notes in mathematics,20791617-9692 ;. - Lecture notes in mathematics (Springer-Verlag) ;2002..

Includes bibliographical references and index.

Introduction --

ISBN: 9783642376160 (pbk.) :EUR44.99Subjects--Topical Terms:

663978
U-statistics.

On the estimation of multiple random integrals and U-statistics /
LDR:01934cam a2200205Ii 4500 001 1900932
003 OCoLC
005 20140220044506.0
008 140121s2013 gw a b 001 0 eng d
020 $a 9783642376160 (pbk.) : $c EUR44.99
020 $a 3642376169 (pbk.)
020 $a 9783642376177 (ebk.)
020 $a 3642376177 (ebk.)
035 $a AS-BW-103-02
040 $a YDXCP $b eng
100 1 $a Major, Péter, $d 1947- $3 2024457
245 1 0 $a On the estimation of multiple random integrals and U-statistics / $c Péter Major.
260 # $a Heidelberg ; $a New York : $b Springer, $c 2013
300 $a xiii, 288 p. : $b ill ; $c 24 cm.
490 1 0 $a Lecture notes in mathematics, $x 1617-9692 ; $v 2079
504 $a Includes bibliographical references and index.
505 0 # $t Introduction -- $t Motivation of the investigation : discussion of some problems -- $t Some estimates about sums of independent random variables -- $t On the supremum of a nice class of partial sums -- $t Vapnik-Ĉervonenkis classes and L₂-dense classes of functions -- $t The proof of theorems 4.1 and 4.2 on the supremum of random sums -- $t The completion of the proof of theorem 4.1 -- $t Formulation of the main results of this work -- $t Formulation of the main results of this work -- $t Some results about U-statistics -- $t Multiple Wiener-Itô integrals and their properties -- $t The diagram formula for products of degenerate U-statistics -- $t The proof of the diagram formula for U-statistics -- $t The proof of theorems 8.3, 8.5 and example 8.7 -- $t Reduction of the main result in this work -- $t The strategy of the proof for the main result of this work -- $t A symmetrization argument -- $t The proof of the main result -- $t An overview of the results and a discussion of the literature -- $t The proof of some results about Vapnik-Ĉervonenkis classes -- $t The proof of the diagram formula for Wiener-Itô integrals -- $t The proof of some results about Wiener-Itô integrals -- $t The proof of theorem 14.3 about U-statistics and decoupled U-statistics.
650 # 0 $a U-statistics. $3 663978
650 # 0 $a Stochastic processes. $3 520663
650 # 0 $a Distribution (Probability theory) $3 533179
830 0 $a Lecture notes in mathematics (Springer-Verlag) ; $v 2002. $3 1235985