Formulas useful for linear regression analysis and related matrix theory: it's only formulas but we like them
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Heidelberg [u.a.]
Springer
2013
|
| Series: | Springer Briefs in Statistics
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XII, 125 S. Ill. 235 mm x 155 mm |
| ISBN: | 3642329306 9783642329302 |
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Record in the Search Index
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CONTENTS
FORMULAS USEFUL FOR LINEAR REGRESSION ANALYSIS AND RELATED MATRIX THEORY
. 1
1 THE MODEL MATRIX & OTHER PRELIMINARIES 1
2 FITTED VALUES AND RESIDUALS 8
3 REGRESSION COEFFICIENTS 10
4 DECOMPOSITIONS OF SUMS OF SQUARES 15
5 DISTRIBUTIONS 19
6 BEST LINEAR PREDICTOR 27
7 TESTING HYPOTHESES 33
8 REGRESSION DIAGNOSTICS 39
9 BLUE: SOME PRELIMINARIES 44
10 BEST LINEAR UNBIASED ESTIMATOR 48
11 THE RELATIVE EFFICIENCY OF OLSE 58
12 LINEAR SUFFICIENCY AND ADMISSIBILITY 63
13 BEST LINEAR UNBIASED PREDICTOR 65
14 MIXED MODEL 68
15 MULTIVARIATE LINEAR MODEL 72
16 PRINCIPAL COMPONENTS, DISCRIMINANT ANALYSIS, FACTOR ANALYSIS 74
17 CANONICAL CORRELATIONS 76
18 COLUMN SPACE PROPERTIES AND RANK RULES 78
19 INVERSE OF A MATRIX 82
20 GENERALIZED INVERSES 86
21 PROJECTORS 91
22 EIGENVALUES 96
23 SINGULAR VALUE DECOMPOSITION & OTHER MATRIX DECOMPOSITIONS 105
24 LOWNER ORDERING 109
25 INEQUALITIES 112
26 KRONECKER PRODUCT, SOME MATRIX DERIVATIVES 115
INDEX 117
HTTP://D-NB.INFO/1024629112 |
| any_adam_object | 1 |
| author | Puntanen, Simo Isotalo, Jarkko Styan, George P. H. |
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| bvnumber | BV040502042 |
| classification_rvk | QH 234 SH 500 SK 840 |
| ctrlnum | (OCoLC)816311625 (DE-599)DNB1024629112 |
| dewey-full | 519.536 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.536 |
| dewey-search | 519.536 |
| dewey-sort | 3519.536 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
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| isbn | 3642329306 9783642329302 |
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| spelling | Puntanen, Simo Verfasser (DE-588)136877214 aut Formulas useful for linear regression analysis and related matrix theory it's only formulas but we like them Simo Puntanen ; George P. H. Styan ; Jarkko Isotalo Heidelberg [u.a.] Springer 2013 XII, 125 S. Ill. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Springer Briefs in Statistics Matrizentheorie (DE-588)4128970-5 gnd rswk-swf Lineare Regression (DE-588)4167709-2 gnd rswk-swf (DE-588)4155008-0 Formelsammlung gnd-content Lineare Regression (DE-588)4167709-2 s Matrizentheorie (DE-588)4128970-5 s DE-604 Isotalo, Jarkko Verfasser aut Styan, George P. H. Verfasser aut Erscheint auch als Online-Ausgabe 978-3-642-32931-9 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4093458&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025348793&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Puntanen, Simo Isotalo, Jarkko Styan, George P. H. Formulas useful for linear regression analysis and related matrix theory it's only formulas but we like them Matrizentheorie (DE-588)4128970-5 gnd Lineare Regression (DE-588)4167709-2 gnd |
| subject_GND | (DE-588)4128970-5 (DE-588)4167709-2 (DE-588)4155008-0 |
| title | Formulas useful for linear regression analysis and related matrix theory it's only formulas but we like them |
| title_auth | Formulas useful for linear regression analysis and related matrix theory it's only formulas but we like them |
| title_exact_search | Formulas useful for linear regression analysis and related matrix theory it's only formulas but we like them |
| title_full | Formulas useful for linear regression analysis and related matrix theory it's only formulas but we like them Simo Puntanen ; George P. H. Styan ; Jarkko Isotalo |
| title_fullStr | Formulas useful for linear regression analysis and related matrix theory it's only formulas but we like them Simo Puntanen ; George P. H. Styan ; Jarkko Isotalo |
| title_full_unstemmed | Formulas useful for linear regression analysis and related matrix theory it's only formulas but we like them Simo Puntanen ; George P. H. Styan ; Jarkko Isotalo |
| title_short | Formulas useful for linear regression analysis and related matrix theory |
| title_sort | formulas useful for linear regression analysis and related matrix theory it s only formulas but we like them |
| title_sub | it's only formulas but we like them |
| topic | Matrizentheorie (DE-588)4128970-5 gnd Lineare Regression (DE-588)4167709-2 gnd |
| topic_facet | Matrizentheorie Lineare Regression Formelsammlung |
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