Estimation with generalized order statistics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Aachen
Mainz
2006
|
| Edition: | 1. Aufl. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Aachen, Tecn. Hochsch., Diss., 2006 |
| Physical Description: | I, 138 S. graph. Darst. |
| ISBN: | 3861309033 |
Staff View
MARC
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Record in the Search Index
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| adam_text | ESTIMATION WITH GENERALIZED ORDER STATISTICS VON DER FAKULTAT FUR
MATHEMATIK, IUFORMATIK UND NATURWISSENSCHAFTEN DER
RHEINISCH-WESTFALISCHEN TECHNISCHEN HOCHSDIULE AACHEN ZUR ERLANGUNG DES
AKADEMISCHEN GRADES EINES DOKTORS DER NATURWISSENSCHAFTEN GENEHMIGTE
DISSERTATION VORGELEGT VON DIPLOM-MATHEMATIKER MARCO BURKSCHAT AUS
BREMEN BERICHTER: UNIVERSITATSPROFESSOR DR. U. KAMPS
UNIVERSITATSPROFESSOR DR. E. CRAMER TAG DER MIINDLICHEN PRIIFUNG: 21.
MARZ 2006 CONTENTS 1 INTRODUCTION 1 2 POINT ESTIMATION AND PREDICTION 7
2.1 BASIC TERMINOLOGY OF POINT ESTIMATION 7 2.2 EQUIVARIANT»ESTIMATORS
OF LOCATION AND SCALE PARAMETERS 8 2.3 EQUIVARIANT PREDICTORS IN
LOCATION-SCALE FAMILIES 15 3 LINEAR ESTIMATION BASED ON GENERALIZED
PARETO DISTRIBUTIONS 19 3.1 THE DISTRIBUTION FAMILY J^GPD !9 3.2
PRELIMINARY RESULTS 21 3.3 UNBIASED ESTIMATION 22 3.4 EQUIVARIANT
ESTIMATION 40 3.5 UNBIASED PREDICTION 43 3.6 EQUIVARIANT PREDICTION 47 4
ESTIMATION BASED ON EXPONENTIAL DISTRIBUTIONS 49 4.1 EQUIVARIANT
ESTIMATION 49 4.2 EQUIVARIANT PREDICTION 62 5 PROGRESSIVE TYPE II
CENSORING AND OPTIMAL SCHEMES 67 5.1 MATHEMATICAL DESCRIPTION OF
PROGRESSIVE TYPE II CENSORING . . . . 68 5.2 OPTIMALITY OF CENSORING
SCHEMES 69 5.3 OPTIMALITY OF EXTREMAL SCHEMES 70 5.4 OPTIMAL SCHEMES
CONCERNING TIME 73 5.4.1 DURATION OF THE EXPERIMENT 74 5.4.2 TOTAL TIME
ON TEST 80 5.5 SCHEMES FOR OPTIMAL LINEAR ESTIMATION 91 5.5.1 BEST
LINEAR UNBIASED ESTIMATION 93 5.5.2 BEST LINEAR EQUIVARIANT ESTIMATION
116 APPENDIX 126 A.I AN ELEMENTARY RESULT FROM HILBERT SPACE THEORY 127
A.2 AGING PROPERTIES 128 A.3 SOME ASYMPTOTIC PROPERTIES OF THE GAMMA
FUNCTION 130 A.4 PROBABILITY DISTRIBUTIONS 131 A.5 NOTATIONS AND
ABBREVIATIONS 132
|
| adam_txt |
ESTIMATION WITH GENERALIZED ORDER STATISTICS VON DER FAKULTAT FUR
MATHEMATIK, IUFORMATIK UND NATURWISSENSCHAFTEN DER
RHEINISCH-WESTFALISCHEN TECHNISCHEN HOCHSDIULE AACHEN ZUR ERLANGUNG DES
AKADEMISCHEN GRADES EINES DOKTORS DER NATURWISSENSCHAFTEN GENEHMIGTE
DISSERTATION VORGELEGT VON DIPLOM-MATHEMATIKER MARCO BURKSCHAT AUS
BREMEN BERICHTER: UNIVERSITATSPROFESSOR DR. U. KAMPS
UNIVERSITATSPROFESSOR DR. E. CRAMER TAG DER MIINDLICHEN PRIIFUNG: 21.
MARZ 2006 CONTENTS 1 INTRODUCTION 1 2 POINT ESTIMATION AND PREDICTION 7
2.1 BASIC TERMINOLOGY OF POINT ESTIMATION 7 2.2 EQUIVARIANT»ESTIMATORS
OF LOCATION AND SCALE PARAMETERS 8 2.3 EQUIVARIANT PREDICTORS IN
LOCATION-SCALE FAMILIES 15 3 LINEAR ESTIMATION BASED ON GENERALIZED
PARETO DISTRIBUTIONS 19 3.1 THE DISTRIBUTION FAMILY J^GPD !9 3.2
PRELIMINARY RESULTS 21 3.3 UNBIASED ESTIMATION 22 3.4 EQUIVARIANT
ESTIMATION 40 3.5 UNBIASED PREDICTION 43 3.6 EQUIVARIANT PREDICTION 47 4
ESTIMATION BASED ON EXPONENTIAL DISTRIBUTIONS 49 4.1 EQUIVARIANT
ESTIMATION 49 4.2 EQUIVARIANT PREDICTION 62 5 PROGRESSIVE TYPE II
CENSORING AND OPTIMAL SCHEMES 67 5.1 MATHEMATICAL DESCRIPTION OF
PROGRESSIVE TYPE II CENSORING . . . . 68 5.2 OPTIMALITY OF CENSORING
SCHEMES 69 5.3 OPTIMALITY OF EXTREMAL SCHEMES 70 5.4 OPTIMAL SCHEMES
CONCERNING TIME 73 5.4.1 DURATION OF THE EXPERIMENT 74 5.4.2 TOTAL TIME
ON TEST 80 5.5 SCHEMES FOR OPTIMAL LINEAR ESTIMATION 91 5.5.1 BEST
LINEAR UNBIASED ESTIMATION 93 5.5.2 BEST LINEAR EQUIVARIANT ESTIMATION
116 APPENDIX 126 A.I AN ELEMENTARY RESULT FROM HILBERT SPACE THEORY 127
A.2 AGING PROPERTIES 128 A.3 SOME ASYMPTOTIC PROPERTIES OF THE GAMMA
FUNCTION 130 A.4 PROBABILITY DISTRIBUTIONS 131 A.5 NOTATIONS AND
ABBREVIATIONS 132 |
| any_adam_object | 1 |
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| author | Burkschat, Marco |
| author_facet | Burkschat, Marco |
| author_role | aut |
| author_sort | Burkschat, Marco |
| author_variant | m b mb |
| building | Verbundindex |
| bvnumber | BV022825228 |
| ctrlnum | (OCoLC)180972343 (DE-599)BVBBV022825228 |
| dewey-full | 519.544 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.544 |
| dewey-search | 519.544 |
| dewey-sort | 3519.544 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 1. Aufl. |
| format | Book |
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| index_date | 2024-07-02T18:41:36Z |
| indexdate | 2024-07-09T21:07:00Z |
| institution | BVB |
| isbn | 3861309033 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016030518 |
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| physical | I, 138 S. graph. Darst. |
| publishDate | 2006 |
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| publisher | Mainz |
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| spelling | Burkschat, Marco Verfasser aut Estimation with generalized order statistics Marco Burkschat 1. Aufl. Aachen Mainz 2006 I, 138 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Zugl.: Aachen, Tecn. Hochsch., Diss., 2006 Ordnungsstatistik swd Punktschätzung swd (DE-588)4113937-9 Hochschulschrift gnd-content HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016030518&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Burkschat, Marco Estimation with generalized order statistics Ordnungsstatistik swd Punktschätzung swd |
| subject_GND | (DE-588)4113937-9 |
| title | Estimation with generalized order statistics |
| title_auth | Estimation with generalized order statistics |
| title_exact_search | Estimation with generalized order statistics |
| title_exact_search_txtP | Estimation with generalized order statistics |
| title_full | Estimation with generalized order statistics Marco Burkschat |
| title_fullStr | Estimation with generalized order statistics Marco Burkschat |
| title_full_unstemmed | Estimation with generalized order statistics Marco Burkschat |
| title_short | Estimation with generalized order statistics |
| title_sort | estimation with generalized order statistics |
| topic | Ordnungsstatistik swd Punktschätzung swd |
| topic_facet | Ordnungsstatistik Punktschätzung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016030518&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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