A concept of generalized order statistics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Stuttgart
Teubner
1995
|
| Series: | Teubner-Skripten zur mathematischen Stochastik
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 210 S. |
| ISBN: | 3519027364 |
Staff View
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Record in the Search Index
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| adam_text | Contents
Introduction 11
I Generalized Order Statistics 20
1. Models of Ordered Random Variables 20
1.1. Order Statistics 20
1.2. Order Statistics with Non Integral Sample Size 25
1.3. Sequential Order Statistics 26
1.4. Record Values 30
1.5. k Records 33
1.6. Pfeifer s Record Model 36
1.7. k Records from Non Identical Distributions 42
n
1.8. Ordering via Truncation of Distributions 44
1.9. Censoring Schemes 47
2. The Definition of Generalized Order Statistics and Examples 49
3. Distribution Theory of Generalized Order Statistics 61 i
3.1. Marginal Density Functions 61
3.2. Properties and Distribution Function of a Single
Generalized Order Statistic 70
3.3. Transformations and Properties of Generalized Order Statistics 77
3.4. Concomitants 82
II Moments of Generalized Order Statistics 87
1. The Existence of Moments of Generalized Order Statistics 87
1.1. Sufficient Conditions for the Existence of Moments 88 ,
1.2. The Theorem of Sen for Generalized Order Statistics 90
1.3. Differences of Moments 94
1.4. Moments for Specific Distributions 99
2. Characterization of Distributions by Sequences of Moments 1°2
2.1. Complete Function Sequences 103
2.2. Characterizing Sequences of Expectations 10?
III Recurrence Relations for Moments of Generalized Order
Statistics and Characterizations of Distributions 115
1. Recurrence Relations for Arbitrary Distributions 115
2. Recurrence Relations for Specific Distributions 117
2.1. The Class 9 of Distributions 119
2.2. A Class of Transformed Distributions belonging to Sf 127
2.3. The Class ?L of Distributions 134
2.4. Further Examples for Specific Distributions 137
3. Characterizations of Distributions by Two Moments 142
IV Inequalities for Moments of Generalized Order Statistics
and Characterizations of Distributions 145
1. The Inequality of Holder 146
1.1. An Inequality Involving Three Moments 147
1.2. An Inequality between Two Moments 156
2. The Application of Other Integral Inequalities 159
3. A Special Application of Cauchy s Inequality 164
V Reliability Properties of Generalized Order Statistics 167
1. The Transmission of Aging Properties 168
2. Partial Ordering of Generalized Order Statistics 179
Appendix 184
Symbols 187
References 189
Author Index 205
Subject Index 208
|
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| callnumber-first | Q - Science |
| callnumber-label | QA278 |
| callnumber-raw | QA278.7.K36 1995 |
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| classification_rvk | QH 230 SK 830 SK 840 |
| classification_tum | MAT 622d |
| ctrlnum | (OCoLC)32632119 (DE-599)BVBBV009935821 |
| dewey-full | 519.520 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5 20 519.5 |
| dewey-search | 519.5 20 519.5 |
| dewey-sort | 3519.5 220 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Thesis Book |
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| indexdate | 2024-07-09T17:43:31Z |
| institution | BVB |
| isbn | 3519027364 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006582967 |
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| physical | 210 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
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| publisher | Teubner |
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| series2 | Teubner-Skripten zur mathematischen Stochastik |
| spelling | Kamps, Udo 1959- Verfasser (DE-588)17069528X aut A concept of generalized order statistics von Udo Kamps Stuttgart Teubner 1995 210 S. txt rdacontent n rdamedia nc rdacarrier Teubner-Skripten zur mathematischen Stochastik Zugl.: Aachen, Techn. Hochsch., Habil.-Schr., 1992 u.d.T.: Kamps, Udo: Verallgemeinerte Ordnungsstatistiken Order statistics Ordnungsstatistik (DE-588)4212486-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Ordnungsstatistik (DE-588)4212486-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006582967&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kamps, Udo 1959- A concept of generalized order statistics Order statistics Ordnungsstatistik (DE-588)4212486-4 gnd |
| subject_GND | (DE-588)4212486-4 (DE-588)4113937-9 |
| title | A concept of generalized order statistics |
| title_auth | A concept of generalized order statistics |
| title_exact_search | A concept of generalized order statistics |
| title_full | A concept of generalized order statistics von Udo Kamps |
| title_fullStr | A concept of generalized order statistics von Udo Kamps |
| title_full_unstemmed | A concept of generalized order statistics von Udo Kamps |
| title_short | A concept of generalized order statistics |
| title_sort | a concept of generalized order statistics |
| topic | Order statistics Ordnungsstatistik (DE-588)4212486-4 gnd |
| topic_facet | Order statistics Ordnungsstatistik Hochschulschrift |
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