Measurement, regression, and calibration:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Clarendon Press
1993
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| Schriftenreihe: | Oxford statistical science series
12 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 201 S. Illustrationen |
| ISBN: | 0198522452 |
Internformat
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Datensatz im Suchindex
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Titel: Measurement, regression, and calibration
Autor: Brown, Philip J
Jahr: 1993
Contents 1 Introduction 1 1.1 Relating variables 1 1.2 Many variables 2 1.3 Contents 2 1.4 Some datasets 3 2 Simple linear regression 13 2.1 Estimation and model criticism 13 2.2 Prediction intervals for the response 19 2.3 Natural and controlled calibration 22 2.4 Profile likelihood with replications 26 2.5 Profile likelihood with some random X 30 2.6 Estimation accuracy 31 2.7 Generalized and weighted least-squares 33 2.8 Bibliography 38 3 Multiple regression and calibration 39 3.1 Least-squares 39 3.1.1 Role of orthogonality 41 3.2 Testing and variable selection 42 3.3 Least-squares prediction 45 3.4 Controlled calibration and polynomial regression 46 3.5 Profile likelihood 47 3.6 Bibliography 48 4 Regularized multiple regression 51 4.1 Introduction 51 4.2 Validation and cross-validation 54 4.3 Ridge regression 55 4.4 Ridge properties and estimators 62 4.5 Principal components regression 68 4.6 Partial least-squares regression 71 4.6.1 Detergent data 73 4.6.2 Perspective on partial least-squares 76 4.7 Scaling, invariance, and shrinkage 78
81 82 85 85 85 87 90 90 94 96 100 100 101 103 106 108 109 113 117 119 119 120 122 123 124 126 127 128 128 129 132 135 135 135 139 140 142 142 144 147 CONTENTS 4.8 Continuum regression 4.9 Wider considerations Multivariate calibration 5.1 Introduction 5.2 Classical prediction 5.3 Controlled calibration 5.4 Random calibration 5.5 Comparison of two regressions 5.6 Bayesian prediction 5.7 Bayesian calibration 5.7.1 Informative prior knowledge 5.7.2 On discarding ^-components 5.8 Profile likelihood with replications 5.9 Maximum likelihood estimation 5.10 Confidence intervals 5.11 Prediction diagnostics 5.11.1 Prediction outliers 5.11.2 Prediction model change 5.12 Reprise Regression on curves 6.1 Introduction 6.2 The model 6.3 The posterior distribution 6.4 Coherent refinements 6.5 Contiguous prior structure 6.6 Augmentation and computation 6.7 Mean modelling 6.8 Hyperparameter estimation 6.9 Detergent example 6.10 Other prior assumptions 6.11 Bayesian alternative to kriging Non-linearity and selection 7.1 Introduction 7.2 Plotting techniques for non-linearity and selectivity 7.3 Variable selection with many variables 7.3.1 Regression models and overfitting 7.3.2 Variable selection reviewed 7.4 The model for selection 7.5 The selection method 7.6 The detergent example
CONTENTS ix 7.7 Selection with autocorrelated errors 151 7.7.1 Hybrid selection strategy 151 7.8 Application to sugars 152 7.9 Commentary 153 7.10 Non-linear theory 155 8 Pattern recognition 161 8.1 Introduction 161 8.2 Discrimination with unequal covariances 163 8.3 Discrimination with a common covariance 166 8.4 Bibliography 169 A Distribution theory 171 A.l Multivariate normal 171 A.2 Matrix normal 172 A.3 Wishart distribution 172 A.4 Inverse Wishart distribution 173 A.5 Matrix Student T-distribution 174 A.6 Matrix Fisher F-distribution 175 B Conditional inference 177 B.l Some Bayesian results B. 1.1 Posterior distribution of a regression ma177 trix 177 B.2 Ancillarity and Bayesian analysis 178 C Regularization dominance 181 D Matrix results 185 E Partial least-squares algorithm 187 Bibliography 189 Index 199 |
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| illustrated | Illustrated |
| indexdate | 2024-11-19T15:03:02Z |
| institution | BVB |
| isbn | 0198522452 |
| language | English |
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| physical | IX, 201 S. Illustrationen |
| publishDate | 1993 |
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| publisher | Clarendon Press |
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| series | Oxford statistical science series |
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| spelling | Brown, Philip J. Verfasser aut Measurement, regression, and calibration Philip J. Brown Oxford [u.a.] Clarendon Press 1993 IX, 201 S. Illustrationen txt rdacontent n rdamedia nc rdacarrier Oxford statistical science series 12 Regressionsanalyse (DE-588)4129903-6 gnd rswk-swf Regressionsanalyse (DE-588)4129903-6 s DE-604 Oxford statistical science series 12 (DE-604)BV001908661 12 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006404183&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brown, Philip J. Measurement, regression, and calibration Oxford statistical science series Regressionsanalyse (DE-588)4129903-6 gnd |
| subject_GND | (DE-588)4129903-6 |
| title | Measurement, regression, and calibration |
| title_auth | Measurement, regression, and calibration |
| title_exact_search | Measurement, regression, and calibration |
| title_full | Measurement, regression, and calibration Philip J. Brown |
| title_fullStr | Measurement, regression, and calibration Philip J. Brown |
| title_full_unstemmed | Measurement, regression, and calibration Philip J. Brown |
| title_short | Measurement, regression, and calibration |
| title_sort | measurement regression and calibration |
| topic | Regressionsanalyse (DE-588)4129903-6 gnd |
| topic_facet | Regressionsanalyse |
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