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Bibliographic Details
Main Author:	Müller, Christine H. 1959- (Author)
Format:	Book
Language:	German
Published:	New York, NY [u.a.] Springer 1997
Series:	Lecture notes in statistics 124
Subjects:	Experimental design Robust statistics Optimale Versuchsplanung Robuste Statistik
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
Physical Description:	X, 234 S.
ISBN:	038798223X

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Record in the Search Index

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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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author	Müller, Christine H. 1959-
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id	DE-604.BV011515965
illustrated	Not Illustrated
indexdate	2024-12-20T10:13:58Z
institution	BVB
isbn	038798223X
language	German
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open_access_boolean
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physical	X, 234 S.
publishDate	1997
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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

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