Resampling methods for dependent data:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2003
|
| Series: | Springer series in statistics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 349 - 366 Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XIV, 374 Seiten Illustrationen, Diagramme |
| ISBN: | 0387009280 9781441918482 |
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| 245 | 1 | 0 | |a Resampling methods for dependent data |c S. N. Lahiri |
| 264 | 1 | |a New York [u.a.] |b Springer |c 2003 | |
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Record in the Search Index
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| adam_text | S.N. LAHIRI RESAMPLING METHODS FOR DEPENDENT DATA WITH 25 ILLUSTRATIONS
SPRINGER CONTENTS 1 SCOPE OF RESAMPLING METHODS FOR DEPENDENT DATA 1 1.1
THE BOOTSTRAP PRINCIPLE 1 1.2 EXAMPLES 7 1.3 CONCLUDING REMARKS 12 1.4
NOTATION 13 2 BOOTSTRAP METHODS * 17 2.1 INTRODUCTION 17 2.2 IID
BOOTSTRAP 17 2.3 INADEQUACY OF IID BOOTSTRAP FOR DEPENDENT DATA 21 2.4
BOOTSTRAP BASED ON IID INNOVATIONS 23 2.5 MOVING BLOCK BOOTSTRAP 25 2.6
NONOVERLAPPING BLOCK BOOTSTRAP 30 2.7 GENERALIZED BLOCK BOOTSTRAP 31
2.7.1 CIRCULAR BLOCK BOOTSTRAP 33 2.7.2 STATIONARY BLOCK BOOTSTRAP 34
2.8 SUBSAMPLING 37 2.9 TRANSFORMATION-BASED BOOTSTRAP 40 2.10 SIEVE
BOOTSTRAP 41 3 PROPERTIES OF BLOCK BOOTSTRAP METHODS FOR THE SAMPLE MEAN
45 3.1 INTRODUCTION 45 3.2 CONSISTENCY OF MBB, NBB, CBB: SAMPLE MEAN 47
XII CONTENTS 3.2.1 CONSISTENCY OF BOOTSTRAP VARIANCE ESTIMATORS ... 48
3.2.2 CONSISTENCY OF DISTRIBUTION FUNCTION ESTIMATORS . . 54 3.3
CONSISTENCY OF THE SB: SAMPLE MEAN 57 3.3.1 CONSISTENCY OF SB VARIANCE
ESTIMATORS 57 3.3.2 CONSISTENCY OF SB DISTRIBUTION FUNCTION ESTIMATORS
63 4 EXTENSIONS AND EXAMPLES 73 4.1 INTRODUCTION 73 4.2 SMOOTH FUNCTIONS
OF MEANS 73 4.3 M-ESTIMATORS 81 4.4 DIFFERENTIATE FUNCTIONAL 90 4.4.1
BOOTSTRAPPING THE EMPIRICAL PROCESS 92 4.4.2 CONSISTENCY OF THE MBB FOR
DIFFERENTIABLE STATISTICAL FUNCTIONALS 94 4.5 EXAMPLES 99 5 COMPARISON
OF BLOCK BOOTSTRAP METHODS 115 5.1 INTRODUCTION 115 5.2 EMPIRICAL
COMPARISONS 116 5.3 THE THEORETICAL FRAMEWORK 118 5.4 EXPANSIONS FOR THE
MSES 120 5.5 THEORETICAL COMPARISONS 123 5.5.1 ASYMPTOTIC EFFICIENCY 123
5.5.2 COMPARISON AT OPTIMAL BLOCK LENGTHS 124 5.6 CONCLUDING REMARKS 126
5.7 PROOFS 127 5.7.1 PROOFS OF THEOREMS 5.1-5.2 FOR THE MBB, THE NBB,
AND THE CBB 128 5.7.2 PROOFS OF THEOREMS 5.1-5.2 FOR THE SB 135 6
SECOND-ORDER PROPERTIES 145 6.1 INTRODUCTION 145 6.2 EDGEWORTH
EXPANSIONS FOR THE MEAN UNDER INDEPENDENCE . 147 6.3 EDGEWORTH
EXPANSIONS FOR THE MEAN UNDER DEPENDENCE . . 154 6.4 EXPANSIONS FOR
FUNCTIONS OF SAMPLE MEANS 160 6.4.1 EXPANSIONS UNDER THE SMOOTH FUNCTION
MODEL UNDER INDEPENDENCE 160 6.4.2 EXPANSIONS FOR NORMALIZED AND
STUDENTIZED STATISTICS UNDER INDEPENDENCE 163^ 6.4.3 EXPANSIONS FOR
NORMALIZED STATISTICS UNDER DEPENDENCE . . . 164 6.4.4 EXPANSIONS FOR
STUDENTIZED STATISTICS UNDER DEPENDENCE 166 6.5 SECOND-ORDER PROPERTIES
OF BLOCK BOOTSTRAP METHODS . . . 168 CONTENTS XIII 7 EMPIRICAL CHOICE OF
THE BLOCK SIZE 175 7.1 INTRODUCTION . . . 175 7.2 THEORETICAL OPTIMAL
BLOCK LENGTHS 175 7.2.1 OPTIMAL BLOCK LENGTHS FOR BIAS AND VARIANCE
ESTIMATION 177 7.2.2 OPTIMAL BLOCK LENGTHS FOR DISTRIBUTION FUNCTION
ESTIMATION 179 7.3 A METHOD BASED ON SUBSAMPLING 182 7.4 A NONPARAMETRIC
PLUG-IN METHOD 186 7.4.1 MOTIVATION 187 7.4.2 THE BIAS ESTIMATOR 188
7.4.3 THE JAB VARIANCE ESTIMATOR 189 7.4.4 THE OPTIMAL BLOCK LENGTH
ESTIMATOR 193 8 MODEL-BASED BOOTSTRAP 199 8.1 INTRODUCTION 199 8.2
BOOTSTRAPPING STATIONARY AUTOREGRESSIVE PROCESSES 200 8.3 BOOTSTRAPPING
EXPLOSIVE AUTOREGRESSIVE PROCESSES 205 8.4 BOOTSTRAPPING UNSTABLE
AUTOREGRESSIVE PROCESSES 209 8.5 BOOTSTRAPPING A STATIONARY ARMA PROCESS
214 9 FREQUENCY DOMAIN BOOTSTRAP 221 9.1 INTRODUCTION 221 9.2
BOOTSTRAPPING RATIO STATISTICS 222 9.2.1 SPECTRAL MEANS AND RATIO
STATISTICS 222 9.2.2 FREQUENCY DOMAIN BOOTSTRAP FOR RATIO STATISTICS . .
224 9.2.3 SECOND-ORDER CORRECTNESS OF THE FDB 226 9.3 BOOTSTRAPPING
SPECTRAL DENSITY ESTIMATORS 228 9.3.1 FREQUENCY DOMAIN BOOTSTRAP FOR
SPECTRAL DENSITY ESTIMATION 229 9.3.2 CONSISTENCY OF THE FDB
DISTRIBUTION FUNCTION ESTIMATOR 231 9.3.3 BANDWIDTH SELECTION 233 9.4 A
MODIFIED FDB 235 9.4.1 MOTIVATION 236 9.4.2 THE AUTOREGRESSIVE-AIDED FDB
A . 237 10 LONG-RANGE DEPENDENCE 241 10.1 INTRODUCTION 241 10.2 A CLASS
OF LONG-RANGE DEPENDENT PROCESSES 242 10.3 PROPERTIES OF THE MBB METHOD
244 10.3.1 MAIN RESULTS 244 10.3.2 PROOFS 246 10.4 PROPERTIES OF THE
SUBSAMPLING METHOD 251 10.4.1 RESULTS ON THE NORMALIZED SAMPLE MEAN 252
XIV CONTENTS 10.4.2 RESULTS ON THE STUDENTIZED SAMPLE MEAN . . . . . .
253 10.4.3 PROOFS . , 255 10.5 NUMERICAL RESULTS 257 11 BOOTSTRAPPING
HEAVY-TAILED DATA AND EXTREMES 261 11.1 INTRODUCTION 261 11.2
HEAVY-TAILED DISTRIBUTIONS 262 11.3 CONSISTENCY OF THE MBB 265 11.4
INVALIDITY OF THE MBB 268 11.5 EXTREMES OF STATIONARY RANDOM VARIABLES
271 11.6 RESULTS ON BOOTSTRAPPING EXTREMES 274 11.7 BOOTSTRAPPING
EXTREMES WITH ESTIMATED CONSTANTS .... 277 12 RESAMPLING METHODS FOR
SPATIAL DATA 281 12.1 INTRODUCTION 281 12.2 SPATIAL ASYMPTOTIC
FRAMEWORKS 282 12.3 BLOCK BOOTSTRAP FOR SPATIAL DATA ON A REGULAR GRID
.... 283 12.3.1 DESCRIPTION OF THE BLOCK BOOTSTRAP METHOD 284 12.3.2
NUMERICAL EXAMPLES 288 12.3.3 CONSISTENCY OF BOOTSTRAP VARIANCE
ESTIMATORS . . . 292 12.3.4 RESULTS ON THE EMPIRICAL DISTRIBUTION
FUNCTION . . . 301 12.3.5 DIFFERENTIABLE FUNCTIONAL 304 12.4 ESTIMATION
OF SPATIAL COVARIANCE PARAMETERS 307 12.4.1 THE VARIOGRAM 307 12.4.2
LEAST SQUARES VARIOGRAM ESTIMATION 308 12.4.3 THE RGLS METHOD 310 12.4.4
PROPERTIES OF THE RGLS ESTIMATORS 312 12.4.5 NUMERICAL EXAMPLES 315 12.5
BOOTSTRAP FOR IRREGULARLY SPACED SPATIAL DATA . 319 12.5.1 A CLASS OF
SPATIAL STOCHASTIC DESIGNS 319 12.5.2 ASYMPTOTIC DISTRIBUTION OF
M-ESTIMATORS 320 12.5.3 A SPATIAL BLOCK BOOTSTRAP METHOD 323 12.5.4
PROPERTIES OF THE SPATIAL BOOTSTRAP METHOD 325 12.6 RESAMPLING METHODS
FOR SPATIAL PREDICTION 328 12.6.1 PREDICTION OF INTEGRALS 328 12.6.2
PREDICTION OF POINT VALUES - % . . 335 A 339 B 345 REFERENCES 349 AUTHOR
INDEX 367 SUBJECT INDEX 371
|
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| building | Verbundindex |
| bvnumber | BV017448343 |
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| dewey-search | 519.5/2 21 519.5/2 |
| dewey-sort | 3519.5 12 221 |
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| discipline | Mathematik Wirtschaftswissenschaften |
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| spelling | Lahiri, S.N. Verfasser (DE-588)1229852018 aut Resampling methods for dependent data S. N. Lahiri New York [u.a.] Springer 2003 XIV, 374 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Springer series in statistics Literaturverz. S. 349 - 366 Hier auch später erschienene, unveränderte Nachdrucke Boostrap jacknife re-amostragem larpcal Bootstrap (statistiek) gtt Inferência estatística larpcal Steekproeven gtt Resampling (Statistics) Resampling (DE-588)4288033-6 gnd rswk-swf Resampling (DE-588)4288033-6 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010510979&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lahiri, S.N Resampling methods for dependent data Boostrap jacknife re-amostragem larpcal Bootstrap (statistiek) gtt Inferência estatística larpcal Steekproeven gtt Resampling (Statistics) Resampling (DE-588)4288033-6 gnd |
| subject_GND | (DE-588)4288033-6 |
| title | Resampling methods for dependent data |
| title_auth | Resampling methods for dependent data |
| title_exact_search | Resampling methods for dependent data |
| title_full | Resampling methods for dependent data S. N. Lahiri |
| title_fullStr | Resampling methods for dependent data S. N. Lahiri |
| title_full_unstemmed | Resampling methods for dependent data S. N. Lahiri |
| title_short | Resampling methods for dependent data |
| title_sort | resampling methods for dependent data |
| topic | Boostrap jacknife re-amostragem larpcal Bootstrap (statistiek) gtt Inferência estatística larpcal Steekproeven gtt Resampling (Statistics) Resampling (DE-588)4288033-6 gnd |
| topic_facet | Boostrap jacknife re-amostragem Bootstrap (statistiek) Inferência estatística Steekproeven Resampling (Statistics) Resampling |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010510979&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT lahirisn resamplingmethodsfordependentdata |