Random permanents:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Utrecht
VSP
1994
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 194 S. |
| ISBN: | 9067641847 |
Internformat
MARC
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| 245 | 1 | 0 | |a Random permanents |c Yu. V. Borovskikh and V. S. Korolyuk |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Utrecht |b VSP |c 1994 | |
| 300 | |a 194 S. | ||
| 336 | |b txt |2 rdacontent | ||
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| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Matrices | |
| 650 | 4 | |a Permanents (Matrices) | |
| 700 | 1 | |a Koroljuk, Volodymyr S. |d 1925- |e Verfasser |0 (DE-588)119463717 |4 aut | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-006963924 | ||
Datensatz im Suchindex
| _version_ | 1804124883371687936 |
|---|---|
| adam_text | Contents
Preface 3
Introduction 5
1 Permanents of matrices 7
1.1 Definition and properties 7
1.2 Laplace formula 8
1.3 Decomposition formula 10
1.4 Generating function 12
1.5 Shift decomposition of permanents 16
2 Permanents in the series scheme 25
2.1 Poisson approximation scheme 25
2.2 Permanent counting measure 27
2.3 Permanent multiple counting measure 30
2.4 Permanent functionals 33
2.5 Permanent multiple functionals 37
2.6 Poisson number of columns 40
2.7 Stable approximation scheme 42
3 Permanents with increasing degrees 45
3.1 Permanents with shift 45
3.2 Functionals with shift 50
3.3 Permanent multiple functionals with shift 51
3.4 Stable approximation scheme 58
4 Normal approximation 61
4.1 Bernoulli scheme 61
4.2 Generating sampling function 66
4.3 Generating multiple function 68
4.4 Sampling permanents 75
4.5 Multiple sampling permanents 77
4.6 Permanents of sampling matrices
with increasing degrees 83
4.7 Functional limit theorems 92
1
2 Contents
5 Symmetric statistics 97
5.1 Permanent random measures 97
5.2 Normal and Poisson approximation scheme 102
5.3 Composition method 106
5.4 Approximation scheme with
increasing degrees 120
5.5 Stable approximation scheme 132
6 Mixed sampling permanents 135
6.1 Mixed sampling permanents
with fixed degree 135
6.2 Mixture approximation with
increasing degrees 142
6.3 Mixed multiple sampling matrix 152
7 Rate of convergence 155
7.1 Rate of Poisson approximation 155
7.2 Rate of Gaussian approximation 157
8 Dependent variables 167
8.1 Martingale permanent 167
8.2 Bootstrap permanent 172
8.3 Order permanent 176
Bibliographical comments 178
Bibliography 182
Subject index 191
|
| any_adam_object | 1 |
| author | Borovskich, Jurij V. Koroljuk, Volodymyr S. 1925- |
| author_GND | (DE-588)119463717 |
| author_facet | Borovskich, Jurij V. Koroljuk, Volodymyr S. 1925- |
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| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV010450771 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:52:44Z |
| institution | BVB |
| isbn | 9067641847 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006963924 |
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| physical | 194 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
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| publisher | VSP |
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| spelling | Borovskich, Jurij V. Verfasser aut Random permanents Yu. V. Borovskikh and V. S. Korolyuk 1. publ. Utrecht VSP 1994 194 S. txt rdacontent n rdamedia nc rdacarrier Matrices Permanents (Matrices) Koroljuk, Volodymyr S. 1925- Verfasser (DE-588)119463717 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006963924&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Borovskich, Jurij V. Koroljuk, Volodymyr S. 1925- Random permanents Matrices Permanents (Matrices) |
| title | Random permanents |
| title_auth | Random permanents |
| title_exact_search | Random permanents |
| title_full | Random permanents Yu. V. Borovskikh and V. S. Korolyuk |
| title_fullStr | Random permanents Yu. V. Borovskikh and V. S. Korolyuk |
| title_full_unstemmed | Random permanents Yu. V. Borovskikh and V. S. Korolyuk |
| title_short | Random permanents |
| title_sort | random permanents |
| topic | Matrices Permanents (Matrices) |
| topic_facet | Matrices Permanents (Matrices) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006963924&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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