On the theory and application of model misspecification tests in geodesy:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
München
Verlag der Bayerischen Akademie der Wissenschaften
2008
Bonn Univ. Bonn, Inst. für Geodäsie und Geoinformation |
| Series: | Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften
Reihe C, Dissertationen ; 674 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zsfassung in dt. Sprache |
| Physical Description: | 90 S. graph. Darst. |
| ISBN: | 9783769650860 |
Staff View
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Record in the Search Index
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| adam_text | UNIVERSITATBONN INSTITUT FUR * GEODASIE UND GEOINFORMATION _
SCHRIFTENREIHE 8 BORIS KARGOLL ON THE THEORY AND APPLICATION OF MODEL
MISSPECIFICATION TESTS IN GEODESY CONTENTS 1 INTRODUCTION 1 1.1
OBJECTIVE 1 1.2 OUTLINE 1 2 THEORY OF HYPOTHESIS TESTING 3 2.1 THE
OBSERVATION MODEL 3 2.2 THE TESTING PROBLEM 4 2.3 THE TEST DECISION 5
2.4 THE SIZE AND POWER OF A TEST 5 2.5 BEST CRITICAL REGIONS 9 2.5.1
MOST POWERFUL (MP) TESTS 9 2.5.2 REDUCTION TO SUFFICIENT STATISTICS 14
2.5.3 UNIFORMLY MOST POWERFUL (UMP) TESTS 16 2.5.4 REDUCTION TO
INVARIANT STATISTICS 19 2.5.5 UNIFORMLY MOST POWERFUL INVARIANT (UMPI)
TESTS 24 2.5.6 REDUCTION TO THE LIKELIHOOD RATIO AND RAO S SCORE
STATISTIC 29 3 THEORY AND APPLICATIONS OF MISSPECIFICATION TESTS IN THE
NORMAL GAUSS-MARKOV MODEL 36 3.1 INTRODUCTION 36 3.2 DERIVATION OF
OPTIMAL TESTS CONCERNING PARAMETERS OF THE FUNCTIONAL MODEL 37 3.2.1
REPARAMETERIZATION OF THE TEST PROBLEM 37 3.2.2 CENTERING OF THE
HYPOTHESES 38 3.2.3 FULL DECORRELATION/HOMOGENIZATION OF THE
OBSERVATIONS 38 3.2.4 REDUCTION TO MINIMAL SUFFICIENT STATISTICS WITH
ELIMINATION OF NUISANCE PARAMETERS .... 39 3.2.5 REDUCTION TO A MAXIMAL
INVARIANT STATISTIC 41 3.2.6 BACK-SUBSTITUTION 44 3.2.7 EQUIVALENT FORMS
OF THE UMPI TEST CONCERNING PARAMETERS OF THE FUNCTIONAL MODEL .... 51
3.3 APPLICATION 1: TESTING FOR OUTLIERS 58 3.3.1 BAARDA STEST 59 3.3.2
POPE S TEST 62 3.4 APPLICATION 2: TESTING FOR EXTENSIONS OF THE
FUNCTIONAL MODEL 63 3.5 APPLICATION 3: TESTING FOR POINT DISPLACEMENTS
65 3.6 DERIVATION OF AN OPTIMAL TEST CONCERNING THE VARIANCE FACTOR 68 4
APPLICATIONS OF MISSPECIFICATION TESTS IN GENERALIZED GAUSS-MARKOV
MODELS 69 4.1 INTRODUCTION 69 4.2 APPLICATION 5: TESTING FOR
AUTOREGRESSIVE CORRELATION 70 4.3 APPLICATION 6: TESTING FOR OVERLAPPING
VARIANCE COMPONENTS , 76 4.4 APPLICATION 7: TESTING FOR NON-NORMALITY OF
THE OBSERVATION ERRORS 79 5 CONCLUSION AND OUTLOOK 86 6 APPENDIX:
DATASETS 87 6.1 DAM DATASET 87 6.2 GRAVITY DATASET 88 REFERENCES 88
|
| adam_txt |
UNIVERSITATBONN INSTITUT FUR * GEODASIE UND GEOINFORMATION _
SCHRIFTENREIHE 8 BORIS KARGOLL ON THE THEORY AND APPLICATION OF MODEL
MISSPECIFICATION TESTS IN GEODESY CONTENTS 1 INTRODUCTION 1 1.1
OBJECTIVE 1 1.2 OUTLINE 1 2 THEORY OF HYPOTHESIS TESTING 3 2.1 THE
OBSERVATION MODEL 3 2.2 THE TESTING PROBLEM 4 2.3 THE TEST DECISION 5
2.4 THE SIZE AND POWER OF A TEST 5 2.5 BEST CRITICAL REGIONS 9 2.5.1
MOST POWERFUL (MP) TESTS 9 2.5.2 REDUCTION TO SUFFICIENT STATISTICS 14
2.5.3 UNIFORMLY MOST POWERFUL (UMP) TESTS 16 2.5.4 REDUCTION TO
INVARIANT STATISTICS 19 2.5.5 UNIFORMLY MOST POWERFUL INVARIANT (UMPI)
TESTS 24 2.5.6 REDUCTION TO THE LIKELIHOOD RATIO AND RAO'S SCORE
STATISTIC 29 3 THEORY AND APPLICATIONS OF MISSPECIFICATION TESTS IN THE
NORMAL GAUSS-MARKOV MODEL 36 3.1 INTRODUCTION 36 3.2 DERIVATION OF
OPTIMAL TESTS CONCERNING PARAMETERS OF THE FUNCTIONAL MODEL 37 3.2.1
REPARAMETERIZATION OF THE TEST PROBLEM 37 3.2.2 CENTERING OF THE
HYPOTHESES 38 3.2.3 FULL DECORRELATION/HOMOGENIZATION OF THE
OBSERVATIONS 38 3.2.4 REDUCTION TO MINIMAL SUFFICIENT STATISTICS WITH
ELIMINATION OF NUISANCE PARAMETERS . 39 3.2.5 REDUCTION TO A MAXIMAL
INVARIANT STATISTIC 41 3.2.6 BACK-SUBSTITUTION 44 3.2.7 EQUIVALENT FORMS
OF THE UMPI TEST CONCERNING PARAMETERS OF THE FUNCTIONAL MODEL . 51
3.3 APPLICATION 1: TESTING FOR OUTLIERS 58 3.3.1 BAARDA'STEST 59 3.3.2
POPE'S TEST 62 3.4 APPLICATION 2: TESTING FOR EXTENSIONS OF THE
FUNCTIONAL MODEL 63 3.5 APPLICATION 3: TESTING FOR POINT DISPLACEMENTS
65 3.6 DERIVATION OF AN OPTIMAL TEST CONCERNING THE VARIANCE FACTOR 68 4
APPLICATIONS OF MISSPECIFICATION TESTS IN GENERALIZED GAUSS-MARKOV
MODELS 69 4.1 INTRODUCTION 69 4.2 APPLICATION 5: TESTING FOR
AUTOREGRESSIVE CORRELATION 70 4.3 APPLICATION 6: TESTING FOR OVERLAPPING
VARIANCE COMPONENTS , 76 4.4 APPLICATION 7: TESTING FOR NON-NORMALITY OF
THE OBSERVATION ERRORS 79 5 CONCLUSION AND OUTLOOK 86 6 APPENDIX:
DATASETS 87 6.1 DAM DATASET 87 6.2 GRAVITY DATASET 88 REFERENCES 88 |
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| author | Kargoll, Boris 1973- |
| author_GND | (DE-588)133250687 |
| author_facet | Kargoll, Boris 1973- |
| author_role | aut |
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| author_variant | b k bk |
| building | Verbundindex |
| bvnumber | BV035069602 |
| ctrlnum | (OCoLC)612182045 (DE-599)BVBBV035069602 |
| dewey-full | 523.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 523 - Specific celestial bodies and phenomena |
| dewey-raw | 523.1 |
| dewey-search | 523.1 |
| dewey-sort | 3523.1 |
| dewey-tens | 520 - Astronomy and allied sciences |
| discipline | Physik |
| discipline_str_mv | Physik |
| format | Thesis Book |
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| illustrated | Illustrated |
| index_date | 2024-07-02T22:03:41Z |
| indexdate | 2024-07-09T21:21:30Z |
| institution | BVB |
| isbn | 9783769650860 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016737999 |
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| physical | 90 S. graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
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| publisher | Verlag der Bayerischen Akademie der Wissenschaften Univ. Bonn, Inst. für Geodäsie und Geoinformation |
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| series | Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften |
| series2 | Schriftenreihe / Institut für Geodäsie und Geoinformation Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften : Reihe C, Dissertationen |
| spelling | Kargoll, Boris 1973- Verfasser (DE-588)133250687 aut On the theory and application of model misspecification tests in geodesy Boris Kargoll München Verlag der Bayerischen Akademie der Wissenschaften Bonn Univ. Bonn, Inst. für Geodäsie und Geoinformation 2008 © 2012 90 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Schriftenreihe / Institut für Geodäsie und Geoinformation 8 Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften : Reihe C, Dissertationen 674 Zsfassung in dt. Sprache Zugl.: Bonn, Univ., Diss., 2007 Dissertation Gravimetrische Geodäsie (DE-588)4158115-5 gnd rswk-swf Gauss-Markov-Schätzung (DE-588)4156104-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Gravimetrische Geodäsie (DE-588)4158115-5 s Gauss-Markov-Schätzung (DE-588)4156104-1 s DE-604 Institut für Geodäsie und Geoinformation Schriftenreihe 8 (DE-604)BV023109775 8 Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften Reihe C, Dissertationen ; 674 (DE-604)BV000004312 674 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016737999&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kargoll, Boris 1973- On the theory and application of model misspecification tests in geodesy Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften Gravimetrische Geodäsie (DE-588)4158115-5 gnd Gauss-Markov-Schätzung (DE-588)4156104-1 gnd |
| subject_GND | (DE-588)4158115-5 (DE-588)4156104-1 (DE-588)4113937-9 |
| title | On the theory and application of model misspecification tests in geodesy |
| title_auth | On the theory and application of model misspecification tests in geodesy |
| title_exact_search | On the theory and application of model misspecification tests in geodesy |
| title_exact_search_txtP | On the theory and application of model misspecification tests in geodesy |
| title_full | On the theory and application of model misspecification tests in geodesy Boris Kargoll |
| title_fullStr | On the theory and application of model misspecification tests in geodesy Boris Kargoll |
| title_full_unstemmed | On the theory and application of model misspecification tests in geodesy Boris Kargoll |
| title_short | On the theory and application of model misspecification tests in geodesy |
| title_sort | on the theory and application of model misspecification tests in geodesy |
| topic | Gravimetrische Geodäsie (DE-588)4158115-5 gnd Gauss-Markov-Schätzung (DE-588)4156104-1 gnd |
| topic_facet | Gravimetrische Geodäsie Gauss-Markov-Schätzung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016737999&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV023109775 (DE-604)BV000004312 |
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