Robust planning and analysis of experiments:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Deutsch |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
1997
|
| Schriftenreihe: | Lecture notes in statistics
124 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007750612&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | X, 234 S. |
| ISBN: | 038798223X |
Internformat
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Datensatz im Suchindex
| _version_ | 1819380151214931968 |
|---|---|
| adam_text | CHRISTINE H. MIILLER ROBUST PLANNING AND ANALYSIS OF EXPERIMENTS
SPRINGER CONTENTS PREFACE VII PART I: EFFICIENT INFERENCE FOR PLANNED
EXPERIMENTS 1 1 PLANNED EXPERIMENTS 2 1.1 DETERMINISTIC AND RANDOM
DESIGNS 2 1.2 LINEAR AND NONLINEAR MODELS 3 1.3 IDENTIFIABILITY OF
ASPECTS ; 4 2 EFFICIENCY CONCEPTS FOR OUTLIER-FREE OBSERVATIONS 10 2.1
ASSUMPTIONS ON THE ERROR DISTRIBUTION 10 2.2 OPTIMAL INFERENCE FOR
LINEAR PROBLEMS 11 2.3 EFFICIENT INFERENCE FOR NONLINEAR PROBLEMS 19
PART II: ROBUST INFERENCE FOR PLANNED EXPERIMENTS 25 3 SMOOTHNESS
CONCEPTS OF OUTLIER ROBUSTNESS 26 3.1 DISTRIBUTIONS MODELLING OUTLIERS
26 3.2 SMOOTHNESS OF ESTIMATORS AND FUNCTIONALS . 32 3.3 FRECHET
DIFFERENTIABILITY OF M-FUNCTIONALS . . 39 4 ROBUSTNESS MEASURES: BIAS
AND BREAKDOWN POINTS 48 4.1 ASYMPTOTIC BIAS AND BREAKDOWN POINTS . . .
48 4.2 BIAS AND BREAKDOWN POINTS FOR FINITE SAMPLES 52 4.3 BREAKDOWN
POINTS IN LINEAR MODELS 57 4.4 BREAKDOWN POINTS FOR NONLINEAR PROBLEMS
68 5 ASYMPTOTIC ROBUSTNESS FOR SHRINKING CONTAMINATION 75 5.1 ASYMPTOTIC
BEHAVIOUR OF ESTIMATORS IN SHRINKING NEIGHBOURHOODS 75 5.2 ROBUST
ESTIMATION IN CONTAMINATED LINEAR MODELS 84 5.3 ROBUST ESTIMATION OF
NONLINEAR ASPECTS 92 5.4 ROBUST ESTIMATION IN CONTAMINATED NONLINEAR
MODELS . . . . 94 6 ROBUSTNESS OF TESTS 98 6.1 BIAS AND BREAKDOWN POINTS
98 6.2 ASYMPTOTIC ROBUSTNESS FOR SHRINKING CONTAMINATION 100 X CONTENTS
PART III: HIGH ROBUSTNESS AND HIGH EFFICIENCY 109 7 HIGH ROBUSTNESS AND
HIGH EFFICIENCY OF ESTIMATION 110 7.1 ESTIMATORS AND DESIGNS WITH
MINIMUM ASYMPTOTIC BIAS . . . 110 7.2 OPTIMAL ESTIMATORS AND DESIGNS FOR
A BIAS BOUND . . . . 118 7.3 ROBUST AND EFFICIENT ESTIMATION OF
NONLINEAR ASPECTS . . . . 133 7.4 ROBUST AND EFFICIENT ESTIMATION IN
NONLINEAR MODELS . . . . 139 8 HIGH ROBUSTNESS AND HIGH EFFICIENCY OF
TESTS 143 8.1 TESTS AND DESIGNS WITH MINIMUM ASYMPTOTIC BIAS 143 8.2
OPTIMAL TESTS AND DESIGNS FOR A BIAS BOUND 153 9 HIGH BREAKDOWN POINT
AND HIGH EFFICIENCY 171 9.1 BREAKDOWN POINT MAXIMIZING ESTIMATORS AND
DESIGNS . . . . 171 9.2 COMBINING HIGH BREAKDOWN POINT AND HIGH
EFFICIENCY . . . . 178 OUTLOOK 184 APPENDIX 189 A.I ASYMPTOTIC LINEARITY
OF FRECHET DIFFERENTIABLE FUNCTIONALS 189 A.2 PROPERTIES OF SPECIAL
MATRICES AND FUNCTIONS 193 REFERENCES 207 LIST OF SYMBOLS 225 INDEX 231
|
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| bvnumber | BV011515965 |
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| callnumber-raw | QA279.M85 1997 |
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| classification_rvk | SI 856 SK 840 |
| ctrlnum | (OCoLC)613890747 (DE-599)BVBBV011515965 |
| dewey-full | 519.5/421 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5/4 21 |
| dewey-search | 519.5/4 21 |
| dewey-sort | 3519.5 14 221 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011515965 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T10:13:58Z |
| institution | BVB |
| isbn | 038798223X |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007750612 |
| oclc_num | 613890747 |
| open_access_boolean | |
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| owner_facet | DE-739 DE-12 DE-824 DE-19 DE-BY-UBM DE-384 DE-703 DE-706 DE-521 DE-634 DE-83 DE-188 |
| physical | X, 234 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in statistics |
| series2 | Lecture notes in statistics |
| spellingShingle | Müller, Christine H. 1959- Robust planning and analysis of experiments Lecture notes in statistics Experimental design Robust statistics Optimale Versuchsplanung (DE-588)4043660-3 gnd Robuste Statistik (DE-588)4451047-0 gnd |
| subject_GND | (DE-588)4043660-3 (DE-588)4451047-0 |
| title | Robust planning and analysis of experiments |
| title_auth | Robust planning and analysis of experiments |
| title_exact_search | Robust planning and analysis of experiments |
| title_full | Robust planning and analysis of experiments Christine H. Müller |
| title_fullStr | Robust planning and analysis of experiments Christine H. Müller |
| title_full_unstemmed | Robust planning and analysis of experiments Christine H. Müller |
| title_short | Robust planning and analysis of experiments |
| title_sort | robust planning and analysis of experiments |
| topic | Experimental design Robust statistics Optimale Versuchsplanung (DE-588)4043660-3 gnd Robuste Statistik (DE-588)4451047-0 gnd |
| topic_facet | Experimental design Robust statistics Optimale Versuchsplanung Robuste Statistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007750612&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002447846 |
| work_keys_str_mv | AT mullerchristineh robustplanningandanalysisofexperiments |