Applied multivariate statistical analysis:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
2007
|
Ausgabe: | 2. ed. |
Schlagworte: | |
Online-Zugang: | BTU01 TUM01 UBA01 UBR01 UBT01 UPA01 Volltext Inhaltsverzeichnis |
Beschreibung: | 1 Online-Ressource |
ISBN: | 9783540722441 |
DOI: | 10.1007/978-3-540-72244-1 |
Internformat
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Datensatz im Suchindex
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---|---|
adam_text | Contents
Préface to the 2nd Edition v
Préface to the lst Edition vii
I Descriptive Techniques 1
1 Comparison of Batches 3
1.1 Hoxplots 1
1.2 Histoj;rams . Kl
I 3 Kernel IVusities 13
II Siattcrplots 17
l..* Clicrnotf Fhirv Faces 20
I.ti Aiiclriws Curves 23
17 l arallcl ( ixiriliiiati IMots 27
I Boston Housing 2S
1 !l F.xerciscs 35
II Multivariate Random Variables 39
2 A Short Excursion into Matrix Algebra 41
21 Klementarv Opérations . 11
2 2 Spectral Din hii|)osUioiis Hi
2 3 Qiitulriitic Fnrms 17
2 1 DlTIViltlVI S • )()
2.5 Partitiiiiicii Matrices r l
2(i (JcDiiu trK al Asp«vts 52
2.7 Exercises 59
3 Moving to Higher Dimensions 61
3.1 C iivariance fil
3.2 Corrélation 65
3 3 Siiiiiinarv Statisties . . . 1
3 1 I.inear Moilel for Twn analiles 73
3 5 Simple Analvsis of ariaiice 7!)
3.(i Multiple Linear Mo.lel X3
3 7 Boston Hoiising ^~
3.S Exercises M
4 Multivariate Distributions *
4.1 Distribution and Density Function 93
4.2 Moments and Characteristic Functions 98
4.3 Transformations 106
4.4 The Multinormal Distribution 108
4.5 Sampling Distributions and Limit Theorems H1
4.6 Heavy Tailed Distributions 118
4.7 Copulae 132
4.8 Bootstrap 141
4.9 Exercises 144
5 Theory of the Multinormal 147
5.1 Elementary Properties of the Multinormal 147
5.2 The Wishart Distribution 153
5.3 Hotelling s T2 Distribution 154
5.4 Spherical and Elliptical Distributions ^
5.5 Exercises 158
6 Theory of Estimation 161
6.1 The Likelihood Function 161
6.2 The Cramer Rao Lower Bound 165
6.3 Exercises 168
7 Hypothesis Testing *
7.1 Likelihood Ratio Test 171
7.2 Linear Hypothesis 179
7.3 Boston Housing 194
7.4 Exercises 196
III Multivariate Techniques ^
8 Décomposition of Data Matrices by Factors
8.1 The Géométrie Point of View 2
8.2 Fitting the p dimensional Point Cloud 2^
8.3 Fitting the n dimensional Point Cloud
8.4 Relations between Subspaces
8.5 Practical Computation
8.6 Exercises
215
9 Principal Components Analysis ,
9.1 Standardized Linear Combination ..„
9.2 Principal Components in Practice „„
9.3 Interprétation of the PCs 2g
9.4 Asymptotic Properties of the PCs _2g
9.5 Normalized Principal Components Analysis „„
9.6 Principal Components as a Factorial Method ,^
9.7 Common Principal Components ~,v
9.8 Boston Housing 2«g
9.9 More Examples 2 y
9.10 Exercises
10 Factor Analysis 251
10.1 The Orthogonal Factor Model 251
10.2 Estimation of the Factor Model 257
10.3 Factor Scores and Stratégies 264
10.4 Boston Housing 265
10.5 Exercises 269
11 Cluster Analysis 271
11.1 The Problem 271
11.2 The Proximity between Objects 272
11.3 Cluster Algorithms 276
11.4 Boston Housing 284
11.5 Exercises 285
12 Discriminant Analysis 289
12.1 Allocation Rules for Known Distributions 289
12.2 Discrimination Rules in Practice 295
12.3 Boston Housing 300
12.4 Exercises 301
13 Correspondence Analysis 305
13.1 Motivation 305
13.2 Chi square Décomposition 307
13.3 Correspondence Analysis in Practice 310
13.4 Exercises 318
14 Canonical Corrélation Analysis 321
14.1 Most Interesting Linear Combination 321
14.2 Canonical Corrélation in Practice 325
14.3 Exercises 330
15 Multidimensional Scaling 331
15.1 The Problem 331
15.2 Metric Multidimensional Scaling 336
15.3 Nonmetric Multidimensional Scaling 339
15.4 Exercises 346
16 Conjoint Measurement Analysis 347
16.1 Introduction 347
16.2 Design of Data Génération 349
16.3 Estimation of Préférence Orderings 351
16.4 Exercises 357
17 Applications in Finance 359
17.1 Portfolio Choice 359
17.2 Efficient Portfolio 360
17.3 Efficient Portfolios in Practice 365
17.4 The Capital Pricing Model (CAPM) 367
17.5 Exercises 368
18 Computationally Intensive Techniques 371
18.1 Simplicial Depth 371
18.2 Projection Pursuit 375
Q7Q
18.3 Sliced Inverse Régression
18.4 Support Vector Machines 385
18.5 Classification and Régression Trees 401
18.6 Boston Housing 417
18.7 Exercises 418
IV Appendix 421
A Symbols and Notations 423
B Data 427
B.l Boston Housing Data 427
B.2 Swiss Bank Notes 4Z
B.3 Car Data 430
B.4 Classic Blue Pullovers Data 432
B.5 U.S. Companies Data 432
B.6 Prench Food Data 434
B.7 Car Marks 434
B.8 Prench Baccalauréat Frequencies 435
B.9 Journaux Data 435
B.10 U.S. Crime Data 436
B.ll Plasma Data 437
B.12 WAIS Data 438
B.13 ANOVA Data 439
B.14 Timebudget Data 440
B.15 Geopol Data 441
B.16 U.S. Health Data 443
B.17 Vocabulary Data 444
B.18 Athletic Records Data 445
B.19 Unemployment Data 447
B.20 Annual Population Data 447
B.21 Bankruptcy Data 448
Bibliography 451
Index 455
|
adam_txt |
Contents
Préface to the 2nd Edition v
Préface to the lst Edition vii
I Descriptive Techniques 1
1 Comparison of Batches 3
1.1 Hoxplots 1
1.2 Histoj;rams . Kl
I 3 Kernel IVusities 13
II Siattcrplots 17
l.* Clicrnotf Fhirv Faces 20
I.ti Aiiclriws Curves 23
17 l'arallcl ('ixiriliiiati' IMots 27
I Boston Housing 2S
1 !l F.xerciscs 35
II Multivariate Random Variables 39
2 A Short Excursion into Matrix Algebra 41
21 Klementarv Opérations . 11
2 2 Spectral Din hii|)osUioiis Hi
2 3 Qiitulriitic Fnrms 17
2 1 DlTIViltlVI'S •")()
2.5 Partitiiiiicii Matrices r'l
2(i (JcDiiu'trK al Asp«vts" 52
2.7 Exercises 59
3 Moving to Higher Dimensions 61
3.1 C'iivariance fil
3.2 Corrélation 65
3 3 Siiiiiinarv Statisties . . . ''1
3 1 I.inear Moilel for Twn \analiles 73
3 5 Simple Analvsis of \ariaiice 7!)
3.(i Multiple Linear Mo.lel X3
3 7 Boston Hoiising ^~
3.S Exercises M
4 Multivariate Distributions *"
4.1 Distribution and Density Function 93
4.2 Moments and Characteristic Functions 98
4.3 Transformations 106
4.4 The Multinormal Distribution 108
4.5 Sampling Distributions and Limit Theorems H1
4.6 Heavy Tailed Distributions 118
4.7 Copulae 132
4.8 Bootstrap 141
4.9 Exercises 144
5 Theory of the Multinormal 147
5.1 Elementary Properties of the Multinormal 147
5.2 The Wishart Distribution 153
5.3 Hotelling's T2 Distribution 154
5.4 Spherical and Elliptical Distributions ^"
5.5 Exercises 158
6 Theory of Estimation 161
6.1 The Likelihood Function 161
6.2 The Cramer Rao Lower Bound 165
6.3 Exercises 168
7 Hypothesis Testing *
7.1 Likelihood Ratio Test 171
7.2 Linear Hypothesis 179
7.3 Boston Housing 194
7.4 Exercises 196
III Multivariate Techniques ^
8 Décomposition of Data Matrices by Factors
8.1 The Géométrie Point of View 2
8.2 Fitting the p dimensional Point Cloud 2^
8.3 Fitting the n dimensional Point Cloud
8.4 Relations between Subspaces
8.5 Practical Computation
8.6 Exercises
215
9 Principal Components Analysis ,
9.1 Standardized Linear Combination .„
9.2 Principal Components in Practice „„
9.3 Interprétation of the PCs 2g
9.4 Asymptotic Properties of the PCs _2g
9.5 Normalized Principal Components Analysis „„
9.6 Principal Components as a Factorial Method ,^
9.7 Common Principal Components ~,v
9.8 Boston Housing 2«g
9.9 More Examples 2 y
9.10 Exercises
10 Factor Analysis 251
10.1 The Orthogonal Factor Model 251
10.2 Estimation of the Factor Model 257
10.3 Factor Scores and Stratégies 264
10.4 Boston Housing 265
10.5 Exercises 269
11 Cluster Analysis 271
11.1 The Problem 271
11.2 The Proximity between Objects 272
11.3 Cluster Algorithms 276
11.4 Boston Housing 284
11.5 Exercises 285
12 Discriminant Analysis 289
12.1 Allocation Rules for Known Distributions 289
12.2 Discrimination Rules in Practice 295
12.3 Boston Housing 300
12.4 Exercises 301
13 Correspondence Analysis 305
13.1 Motivation 305
13.2 Chi square Décomposition 307
13.3 Correspondence Analysis in Practice 310
13.4 Exercises 318
14 Canonical Corrélation Analysis 321
14.1 Most Interesting Linear Combination 321
14.2 Canonical Corrélation in Practice 325
14.3 Exercises 330
15 Multidimensional Scaling 331
15.1 The Problem 331
15.2 Metric Multidimensional Scaling 336
15.3 Nonmetric Multidimensional Scaling 339
15.4 Exercises 346
16 Conjoint Measurement Analysis 347
16.1 Introduction 347
16.2 Design of Data Génération 349
16.3 Estimation of Préférence Orderings 351
16.4 Exercises 357
17 Applications in Finance 359
17.1 Portfolio Choice 359
17.2 Efficient Portfolio 360
17.3 Efficient Portfolios in Practice 365
17.4 The Capital Pricing Model (CAPM) 367
17.5 Exercises 368
18 Computationally Intensive Techniques 371
18.1 Simplicial Depth 371
18.2 Projection Pursuit 375
Q7Q
18.3 Sliced Inverse Régression
18.4 Support Vector Machines 385
18.5 Classification and Régression Trees 401
18.6 Boston Housing 417
18.7 Exercises 418
IV Appendix 421
A Symbols and Notations 423
B Data 427
B.l Boston Housing Data 427
B.2 Swiss Bank Notes 4Z'
B.3 Car Data 430
B.4 Classic Blue Pullovers Data 432
B.5 U.S. Companies Data 432
B.6 Prench Food Data 434
B.7 Car Marks 434
B.8 Prench Baccalauréat Frequencies 435
B.9 Journaux Data 435
B.10 U.S. Crime Data 436
B.ll Plasma Data 437
B.12 WAIS Data 438
B.13 ANOVA Data 439
B.14 Timebudget Data 440
B.15 Geopol Data 441
B.16 U.S. Health Data 443
B.17 Vocabulary Data 444
B.18 Athletic Records Data 445
B.19 Unemployment Data 447
B.20 Annual Population Data 447
B.21 Bankruptcy Data 448
Bibliography 451
Index 455 |
any_adam_object | 1 |
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author | Härdle, Wolfgang 1953- Simar, Léopold |
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collection | ZDB-2-SMA |
ctrlnum | (OCoLC)730326848 (DE-599)BVBBV022885908 |
dewey-full | 519.5/35 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519.5/35 |
dewey-search | 519.5/35 |
dewey-sort | 3519.5 235 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik Wirtschaftswissenschaften |
discipline_str_mv | Mathematik Wirtschaftswissenschaften |
doi_str_mv | 10.1007/978-3-540-72244-1 |
edition | 2. ed. |
format | Electronic eBook |
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genre | (DE-588)4123623-3 Lehrbuch gnd-content |
genre_facet | Lehrbuch |
id | DE-604.BV022885908 |
illustrated | Not Illustrated |
index_date | 2024-07-02T18:51:59Z |
indexdate | 2024-07-09T21:07:44Z |
institution | BVB |
isbn | 9783540722441 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016090818 |
oclc_num | 730326848 |
open_access_boolean | |
owner | DE-739 DE-355 DE-BY-UBR DE-634 DE-91 DE-BY-TUM DE-384 DE-703 DE-83 |
owner_facet | DE-739 DE-355 DE-BY-UBR DE-634 DE-91 DE-BY-TUM DE-384 DE-703 DE-83 |
physical | 1 Online-Ressource |
psigel | ZDB-2-SMA |
publishDate | 2007 |
publishDateSearch | 2007 |
publishDateSort | 2007 |
publisher | Springer |
record_format | marc |
spelling | Härdle, Wolfgang 1953- Verfasser (DE-588)110357116 aut Applied multivariate statistical analysis Wolfgang Härdle ; Léopold Simar 2. ed. Berlin [u.a.] Springer 2007 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Análise multivariada larpcal Análisis estadístico Análisis multivariado Multivariate analyse gtt Multivariate analysis Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Wirtschaftstheorie (DE-588)4079351-5 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Multivariate Analyse (DE-588)4040708-1 s Statistik (DE-588)4056995-0 s Wirtschaftstheorie (DE-588)4079351-5 s 1\p DE-604 2\p DE-604 Simar, Léopold Verfasser (DE-588)123344107 aut Erscheint auch als Druckausgabe 978-3-540-72243-4 https://doi.org/10.1007/978-3-540-72244-1 Verlag Volltext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016090818&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Härdle, Wolfgang 1953- Simar, Léopold Applied multivariate statistical analysis Análise multivariada larpcal Análisis estadístico Análisis multivariado Multivariate analyse gtt Multivariate analysis Multivariate Analyse (DE-588)4040708-1 gnd Wirtschaftstheorie (DE-588)4079351-5 gnd Statistik (DE-588)4056995-0 gnd |
subject_GND | (DE-588)4040708-1 (DE-588)4079351-5 (DE-588)4056995-0 (DE-588)4123623-3 |
title | Applied multivariate statistical analysis |
title_auth | Applied multivariate statistical analysis |
title_exact_search | Applied multivariate statistical analysis |
title_exact_search_txtP | Applied multivariate statistical analysis |
title_full | Applied multivariate statistical analysis Wolfgang Härdle ; Léopold Simar |
title_fullStr | Applied multivariate statistical analysis Wolfgang Härdle ; Léopold Simar |
title_full_unstemmed | Applied multivariate statistical analysis Wolfgang Härdle ; Léopold Simar |
title_short | Applied multivariate statistical analysis |
title_sort | applied multivariate statistical analysis |
topic | Análise multivariada larpcal Análisis estadístico Análisis multivariado Multivariate analyse gtt Multivariate analysis Multivariate Analyse (DE-588)4040708-1 gnd Wirtschaftstheorie (DE-588)4079351-5 gnd Statistik (DE-588)4056995-0 gnd |
topic_facet | Análise multivariada Análisis estadístico Análisis multivariado Multivariate analyse Multivariate analysis Multivariate Analyse Wirtschaftstheorie Statistik Lehrbuch |
url | https://doi.org/10.1007/978-3-540-72244-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016090818&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT hardlewolfgang appliedmultivariatestatisticalanalysis AT simarleopold appliedmultivariatestatisticalanalysis |