Consistency of least squares estimates in a system of linear correlation models:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Warszawa
Inst. of Mathematics
2001
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| Schriftenreihe: | Dissertationes mathematicae
395 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 44 S. |
Internformat
MARC
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Datensatz im Suchindex
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Titel: Consistency of least squares estimates in a system of linear correlation models
Autor: Nguyen, Bac-Van
Jahr: 2001
CONTENTS
1. Introductory section.6
1.1. Introduction.6
1.2. Notations and preliminaries.8
2. Results on GLSE convergence and consistency.9
3. Proofs of the results.12
3.1. Algebraic formal expressions.12
3.2. Elicitation of the GLSE.14
3.3. Existence of the msq regression parameter value.15
3.4. Infinitesimality of 7.16
3.5. A crucial lemma.16
3.6. Interpretation of Lemma 3.4.18
3.7. Evaluation of the GLSE error norm.19
3.8. Uniform convergence and uniform consistency.20
3.9. Convergence of GLSE.21
4. Algebraic tools.25
4.1. Three identities.25
4.2. Majorizing.27
4.3. Linear matrix combinations, determinant expansion.29
4.4. Proof of Lemma 3.4.33
5. Positivity of sums of mixing determinants.38
5.1. Proof of Proposition 4.5(H).38
5.2. A multidimensional geometric characteristic.42
References.43
2000 Mathematics Subject Classification: Primary 62J05; Secondary 60F15.
Key words and phrases: support manifold, region of convergence, global mean square (msq)
regression parameter value, orthogonal projection, random linear operator, uniform bound-
edness.
Received 27.12.1999.
Ce projet est realise avec l'appui du Fonds international de cooperation universitaire-FICU
(AUPELF-UREF, Agence francophone pour l'enseignement superieur et la recherche). |
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| series | Dissertationes mathematicae |
| series2 | Dissertationes mathematicae |
| spelling | Nguyen, Bac-Van Verfasser aut Consistency of least squares estimates in a system of linear correlation models Nguyen Bac-Van Warszawa Inst. of Mathematics 2001 44 S. txt rdacontent n rdamedia nc rdacarrier Dissertationes mathematicae 395 Dissertationes mathematicae 395 (DE-604)BV000003039 395 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009524060&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nguyen, Bac-Van Consistency of least squares estimates in a system of linear correlation models Dissertationes mathematicae |
| title | Consistency of least squares estimates in a system of linear correlation models |
| title_auth | Consistency of least squares estimates in a system of linear correlation models |
| title_exact_search | Consistency of least squares estimates in a system of linear correlation models |
| title_full | Consistency of least squares estimates in a system of linear correlation models Nguyen Bac-Van |
| title_fullStr | Consistency of least squares estimates in a system of linear correlation models Nguyen Bac-Van |
| title_full_unstemmed | Consistency of least squares estimates in a system of linear correlation models Nguyen Bac-Van |
| title_short | Consistency of least squares estimates in a system of linear correlation models |
| title_sort | consistency of least squares estimates in a system of linear correlation models |
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