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Bibliographic Details
Main Authors:	Borovskich, Jurij V. (Author), Koroljuk, Volodymyr S. 1925- (Author)
Format:	Book
Language:	English
Published:	Utrecht VSP 1994
Edition:	1. publ.
Subjects:	Matrices Permanents (Matrices)
Online Access:	Inhaltsverzeichnis
Physical Description:	194 S.
ISBN:	9067641847

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MARC


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Record in the Search Index

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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-
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illustrated	Not Illustrated
indexdate	2024-07-09T17:52:44Z
institution	BVB
isbn	9067641847
language	English
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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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