Majorization and the Lorenz order: a brief introduction
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Main Author: | |
---|---|
Format: | Book |
Language: | English |
Published: |
Berlin u.a.
Springer
1987
|
Series: | Lecture notes in statistics
43 |
Subjects: | |
Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000461989&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Physical Description: | VI, 122 S. |
ISBN: | 3540965920 0387965920 |
Staff View
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245 | 1 | 0 | |a Majorization and the Lorenz order |b a brief introduction |c Barry C. Arnold |
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490 | 1 | |a Lecture notes in statistics |v 43 | |
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650 | 7 | |a statistique |2 inriac | |
650 | 7 | |a théorie distribution |2 inriac | |
650 | 4 | |a Inequalities (Mathematics) | |
650 | 4 | |a Multivariate analysis | |
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Record in the Search Index
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DE-BY-TUM_katkey | 1513747 |
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adam_text | CONTENTS
Preface iii
Chapter 1 Introduction 1
Chapter 2 Majorization in IR 10
Exercises 27
Chapter 3 The Lorenz order in the space of distribution
functions 29
Exercises 41
Chapter 4 Transformations and their effects 45
Exercises 54
Chapter 5 Multivariate and stochastic majorization 57
1 Multivariate majorization 57
2 Stochastic majorization . . 64
Exercises 75
Chapter 6 Some related order ings . 77
1 Star ordering 77
2 Stochastic dominance 81
Exercises 88
Chapter 7 Some applications 90
1 A geometric inequality of Cesaro 90
2 Matrices with prescribed characteristic roots 91
3 Variability of sample medians and means 93
4 Reliability 95
5 Genetic selection 97
6 Large interactions 99
7 Unbiased tests 101
8 Summation modulo m ...102
9 Forecasting 103
10 Ecological diversity ..... 107
VI
References 110
Author index 114
Subject index 117
|
any_adam_object | 1 |
author | Arnold, Barry C. 1939- |
author_GND | (DE-588)111442435 |
author_facet | Arnold, Barry C. 1939- |
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author_sort | Arnold, Barry C. 1939- |
author_variant | b c a bc bca |
building | Verbundindex |
bvnumber | BV000738048 |
callnumber-first | Q - Science |
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callnumber-raw | QA295 |
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ctrlnum | (OCoLC)20932095 (DE-599)BVBBV000738048 |
dewey-full | 519.5 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519.5 |
dewey-search | 519.5 |
dewey-sort | 3519.5 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik Wirtschaftswissenschaften |
format | Book |
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id | DE-604.BV000738048 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T07:25:55Z |
institution | BVB |
isbn | 3540965920 0387965920 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000461989 |
oclc_num | 20932095 |
open_access_boolean | |
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owner_facet | DE-12 DE-384 DE-703 DE-739 DE-824 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-706 DE-634 DE-83 DE-188 |
physical | VI, 122 S. |
publishDate | 1987 |
publishDateSearch | 1987 |
publishDateSort | 1987 |
publisher | Springer |
record_format | marc |
series | Lecture notes in statistics |
series2 | Lecture notes in statistics |
spellingShingle | Arnold, Barry C. 1939- Majorization and the Lorenz order a brief introduction Lecture notes in statistics Lorenz, Courbe de Lorenz, Équations de ram analyse multivariée inriac inégalité inriac statistique inriac théorie distribution inriac Inequalities (Mathematics) Multivariate analysis Majorisierung Mathematik (DE-588)4168658-5 gnd Lorenz-Ordnung (DE-588)4224823-1 gnd |
subject_GND | (DE-588)4168658-5 (DE-588)4224823-1 |
title | Majorization and the Lorenz order a brief introduction |
title_auth | Majorization and the Lorenz order a brief introduction |
title_exact_search | Majorization and the Lorenz order a brief introduction |
title_full | Majorization and the Lorenz order a brief introduction Barry C. Arnold |
title_fullStr | Majorization and the Lorenz order a brief introduction Barry C. Arnold |
title_full_unstemmed | Majorization and the Lorenz order a brief introduction Barry C. Arnold |
title_short | Majorization and the Lorenz order |
title_sort | majorization and the lorenz order a brief introduction |
title_sub | a brief introduction |
topic | Lorenz, Courbe de Lorenz, Équations de ram analyse multivariée inriac inégalité inriac statistique inriac théorie distribution inriac Inequalities (Mathematics) Multivariate analysis Majorisierung Mathematik (DE-588)4168658-5 gnd Lorenz-Ordnung (DE-588)4224823-1 gnd |
topic_facet | Lorenz, Courbe de Lorenz, Équations de analyse multivariée inégalité statistique théorie distribution Inequalities (Mathematics) Multivariate analysis Majorisierung Mathematik Lorenz-Ordnung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000461989&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV002447846 |
work_keys_str_mv | AT arnoldbarryc majorizationandthelorenzorderabriefintroduction |
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Branch Library Mathematics & Informatics
Call Number: |
0102 MAT 603f 2005 q 4904
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Copy 1 | Available for loan On Shelf |