On the estimation of multiple random integrals and U-statistics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2013
|
| Series: | Lecture notes in mathematics
2079 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XIII, 288 S. graph. Darst. |
| ISBN: | 3642376169 9783642376160 |
Staff View
MARC
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| 100 | 1 | |a Major, Péter |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a On the estimation of multiple random integrals and U-statistics |c Péter Major |
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| 300 | |a XIII, 288 S. |b graph. Darst. | ||
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Record in the Search Index
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| adam_text |
CONTENTS
1 INTRODUCTION 1
2 MOTIVATION OF THE INVESTIGATION: DISCUSSION OF SOME PROBLEMS 5
3 SOME ESTIMATES ABOUT SUMS OF INDEPENDENT RANDOM VARIABLES 15
4 ON THE SUPREMUM OF A NICE CLASS OF PARTIAL SUMS 21
5 VAPNIK-CERVONENKIS CLASSES AND L 2-DENSE CLASSES OF FUNCTIONS . 35
6 THE PROOF OF THEOREMS 4.1 AND 4.2 ON THE SUPREMUM
OF RANDOM SUMS 41
7 THE COMPLETION OF THE PROOF OF THEOREM 4.1 53
8 FORMULATION OF THE MAIN RESULTS OF THIS WORK 65
9 SOME RESULTS ABOUT U -STATISTICS 79
10 MULTIPLE WIENER-ITO INTEGRALS AND THEIR PROPERTIES 97
11 THE DIAGRAM FORMULA FOR PRODUCTS OF DEGENERATE U-STATISTICS 121
12 THE PROOF OF THE DIAGRAM FORMULA FOR V-STATISTICS 139
13 THE PROOF OF THEOREMS 8.3,8.5 AND EXAMPLE 8.7 151
14 REDUCTION OF THE MAIN RESULT IN THIS WORK 169
15 THE STRATEGY OF THE PROOF FOR THE MAIN RESULT OF THIS WORK 181
16 A SYMMETRIZATION ARGUMENT 191
17 THE PROOF OF THE MAIN RESULT 209
18 AN OVERVIEW OF THE RESULTS AND A DISCUSSION OF THE LITERATURE 227
HTTP://D-NB.INFO/1032428228
X CONTENTS
A THE PROOF OF SOME RESULTS ABOUT VAPNIK-CERVONENKIS CLASSES 247
B THE PROOF OF THE DIAGRAM FORMULA FOR WIENER-ITO INTEGRALS 251
C THE PROOF OF SOME RESULTS ABOUT WIENER-ITO INTEGRALS 261
D THE PROOF OF THEOREM 14.3 ABOUT U -STATISTICS
AND DECOUPLED U-STATISTICS 271
REFERENCES 283
INDEX 287 |
| any_adam_object | 1 |
| author | Major, Péter |
| author_facet | Major, Péter |
| author_role | aut |
| author_sort | Major, Péter |
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| building | Verbundindex |
| bvnumber | BV041188381 |
| classification_rvk | SI 850 SK 820 |
| classification_tum | MAT 604f MAT 606f |
| ctrlnum | (OCoLC)864645583 (DE-599)DNB1032428228 |
| dewey-full | 519.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.23 |
| dewey-search | 519.23 |
| dewey-sort | 3519.23 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-09-10T00:59:24Z |
| institution | BVB |
| isbn | 3642376169 9783642376160 |
| language | English |
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| physical | XIII, 288 S. graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Major, Péter Verfasser aut On the estimation of multiple random integrals and U-statistics Péter Major Berlin [u.a.] Springer 2013 XIII, 288 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 2079 U-Statistik (DE-588)4754777-7 gnd rswk-swf Stochastisches Integral (DE-588)4126478-2 gnd rswk-swf Stochastisches Integral (DE-588)4126478-2 s U-Statistik (DE-588)4754777-7 s DE-604 Erscheint auch als Online-Ausgabe 978-3-642-37617-7 Lecture notes in mathematics 2079 (DE-604)BV000676446 2079 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4279525&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026163507&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Major, Péter On the estimation of multiple random integrals and U-statistics Lecture notes in mathematics U-Statistik (DE-588)4754777-7 gnd Stochastisches Integral (DE-588)4126478-2 gnd |
| subject_GND | (DE-588)4754777-7 (DE-588)4126478-2 |
| title | On the estimation of multiple random integrals and U-statistics |
| title_auth | On the estimation of multiple random integrals and U-statistics |
| title_exact_search | On the estimation of multiple random integrals and U-statistics |
| title_full | On the estimation of multiple random integrals and U-statistics Péter Major |
| title_fullStr | On the estimation of multiple random integrals and U-statistics Péter Major |
| title_full_unstemmed | On the estimation of multiple random integrals and U-statistics Péter Major |
| title_short | On the estimation of multiple random integrals and U-statistics |
| title_sort | on the estimation of multiple random integrals and u statistics |
| topic | U-Statistik (DE-588)4754777-7 gnd Stochastisches Integral (DE-588)4126478-2 gnd |
| topic_facet | U-Statistik Stochastisches Integral |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4279525&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026163507&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT majorpeter ontheestimationofmultiplerandomintegralsandustatistics |