Dynamic nonlinear econometric models: asymptotic theory
Gespeichert in:
Beteiligte Personen: | , |
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Format: | Buch |
Sprache: | Englisch |
Veröffentlicht: |
Berlin [u.a.]
Springer
1997
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Schlagwörter: | |
Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007829103&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Umfang: | XI, 312 S. |
ISBN: | 3540628576 |
Internformat
MARC
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100 | 1 | |a Pötscher, Benedikt M. |d 1955- |e Verfasser |0 (DE-588)137611773 |4 aut | |
245 | 1 | 0 | |a Dynamic nonlinear econometric models |b asymptotic theory |c Benedikt M. Pötscher ; Ingmar R. Prucha |
264 | 1 | |a Berlin [u.a.] |b Springer |c 1997 | |
300 | |a XI, 312 S. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
650 | 7 | |a Asymptotische analyse |2 gtt | |
650 | 7 | |a Econometrische modellen |2 gtt | |
650 | 4 | |a Modelos econométricos | |
650 | 4 | |a Modelos lineales (Estadística) | |
650 | 7 | |a Niet-lineaire modellen |2 gtt | |
650 | 4 | |a Ökonometrisches Modell | |
650 | 4 | |a Econometric models | |
650 | 4 | |a Linear models (Statistics) | |
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Datensatz im Suchindex
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adam_text | Contents
PREFACE vii
1 INTRODUCTION 1
2 MODELS, DATA GENERATING PROCESSES, AND
ESTIMATORS 9
3 BASIC STRUCTURE OF THE CLASSICAL
CONSISTENCY PROOF 15
4 FURTHER COMMENTS ON CONSISTENCY PROOFS 23
4.1 Transforming the Objective Function 23
4.2 Weakening the Uniform Convergence Assumption 24
4.3 Uniform Convergence and Compactness 26
4.4 Approximate M Estimators 29
4.5 Limitations: An Illustrative Example 29
4.6 Identifiable Uniqueness 31
5 UNIFORM LAWS OF LARGE NUMBERS 37
5.1 ULLNs for Dependent and Heterogeneous Processes .... 38
5.2 Further Remarks on ULLNs 43
6 APPROXIMATION CONCEPTS AND LIMIT
THEOREMS 45
6.1 Dynamic Models and Mixing Processes 46
6.2 Approximation Concepts 48
6.3 Laws of Large Numbers for Lp Approximate and Near Epoch
Dependent Processes 52
6.4 Preservation of Approximation Concepts under Transforma¬
tion 56
6.5 Illustrations of Local Laws of Large Numbers 72
6.6 Comparison of ULLNs for Lp Approximate and Near Epoch
Dependent Processes 76
7 CONSISTENCY: CATALOGUES OF ASSUMPTIONS 79
x CONTENTS
8 BASIC STRUCTURE OF THE ASYMPTOTIC
NORMALITY PROOF 83
9 ASYMPTOTIC NORMALITY UNDER NONSTANDARD
CONDITIONS 95
10 CENTRAL LIMIT THEOREMS 99
10.1 A Central Limit Theorem for Martingale Differences .... 100
10.2 A Central Limit Theorem for Functions of Mixing Processes 101
11 ASYMPTOTIC NORMALITY: CATALOGUES OF
ASSUMPTIONS 105
11.1 Asymptotic Normality of Least Mean Distance Estimators 107
11.2 Asymptotic Normality of Generalized Method of Moments
Estimators 110
11.3 Further Discussion and Comparison of Assumptions .... 116
12 HETEROSKEDASTICITY AND AUTOCORRELATION
ROBUST ESTIMATION OF VARIANCE COVARIANCE
MATRICES 121
12.1 An Outline of the Variance Covariance Matrix Estimation
Problem 121
12.2 Sufficient Conditions for Consistency 124
12.3 Further Remarks 134
13 CONSISTENT VARIANCE COVARIANCE MATRIX
ESTIMATION: CATALOGUES OF ASSUMPTIONS 137
13.1 Estimation of the Variance Covariance Matrix of Least Mean
Distance Estimators 137
13.2 Estimation of the Variance Covariance Matrix of Generalized
Method of Moments Estimators 141
14 QUASI MAXIMUM LIKELIHOOD ESTIMATION OF
DYNAMIC NONLINEAR SIMULTANEOUS SYSTEMS 145
14.1 A General Consistency Result for Quasi NFIML Estimators 147
14.2 Asymptotic Results for the Quasi NFIML Estimator in Case
of a Correctly Specified System 150
14.2.1 Sufficient Conditions for Lp Approximability of the
Data Generating Process 150
14.2.2 Consistency 154
14.2.3 Asymptotic Normality and Variance Covariance Ma¬
trix Estimation 159
15 CONCLUDING REMARKS 171
CONTENTS xi
A PROOFS FOR CHAPTER 3 175
B PROOFS FOR CHAPTER 4 183
C PROOFS FOR CHAPTER 5 187
D PROOFS FOR CHAPTER 6 193
E PROOFS FOR CHAPTER 7 225
F PROOFS FOR CHAPTER 8 227
G PROOFS FOR CHAPTER 10 235
H PROOFS FOR CHAPTER 11 239
I PROOFS FOR CHAPTER 12 249
J PROOFS FOR CHAPTER 13 259
K PROOFS FOR CHAPTER 14 263
REFERENCES 287
INDEX 305
|
any_adam_object | 1 |
author | Pötscher, Benedikt M. 1955- Prucha, Ingmar R. |
author_GND | (DE-588)137611773 (DE-588)170112756 |
author_facet | Pötscher, Benedikt M. 1955- Prucha, Ingmar R. |
author_role | aut aut |
author_sort | Pötscher, Benedikt M. 1955- |
author_variant | b m p bm bmp i r p ir irp |
building | Verbundindex |
bvnumber | BV011620545 |
callnumber-first | H - Social Science |
callnumber-label | HB141 |
callnumber-raw | HB141.P68 1997 |
callnumber-search | HB141.P68 1997 |
callnumber-sort | HB 3141 P68 41997 |
callnumber-subject | HB - Economic Theory and Demography |
classification_rvk | QH 233 QH 300 QH 720 QI 250 SK 980 |
classification_tum | MAT 902f |
ctrlnum | (OCoLC)36916309 (DE-599)BVBBV011620545 |
dewey-full | 330/.01/5195 330/.01/519521 |
dewey-hundreds | 300 - Social sciences |
dewey-ones | 330 - Economics |
dewey-raw | 330/.01/5195 330/.01/5195 21 |
dewey-search | 330/.01/5195 330/.01/5195 21 |
dewey-sort | 3330 11 45195 |
dewey-tens | 330 - Economics |
discipline | Mathematik Wirtschaftswissenschaften |
format | Book |
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id | DE-604.BV011620545 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T10:15:45Z |
institution | BVB |
isbn | 3540628576 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007829103 |
oclc_num | 36916309 |
open_access_boolean | |
owner | DE-19 DE-BY-UBM DE-N2 DE-12 DE-703 DE-20 DE-824 DE-355 DE-BY-UBR DE-521 DE-11 DE-188 |
owner_facet | DE-19 DE-BY-UBM DE-N2 DE-12 DE-703 DE-20 DE-824 DE-355 DE-BY-UBR DE-521 DE-11 DE-188 |
physical | XI, 312 S. |
publishDate | 1997 |
publishDateSearch | 1997 |
publishDateSort | 1997 |
publisher | Springer |
record_format | marc |
spellingShingle | Pötscher, Benedikt M. 1955- Prucha, Ingmar R. Dynamic nonlinear econometric models asymptotic theory Asymptotische analyse gtt Econometrische modellen gtt Modelos econométricos Modelos lineales (Estadística) Niet-lineaire modellen gtt Ökonometrisches Modell Econometric models Linear models (Statistics) Robustheit (DE-588)4126481-2 gnd Nichtlineares mathematisches Modell (DE-588)4127859-8 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Asymptotische Statistik (DE-588)4203167-9 gnd Ökonometrisches Modell (DE-588)4043212-9 gnd Entscheidungsmodell (DE-588)4121201-0 gnd |
subject_GND | (DE-588)4126481-2 (DE-588)4127859-8 (DE-588)4126142-2 (DE-588)4203167-9 (DE-588)4043212-9 (DE-588)4121201-0 |
title | Dynamic nonlinear econometric models asymptotic theory |
title_auth | Dynamic nonlinear econometric models asymptotic theory |
title_exact_search | Dynamic nonlinear econometric models asymptotic theory |
title_full | Dynamic nonlinear econometric models asymptotic theory Benedikt M. Pötscher ; Ingmar R. Prucha |
title_fullStr | Dynamic nonlinear econometric models asymptotic theory Benedikt M. Pötscher ; Ingmar R. Prucha |
title_full_unstemmed | Dynamic nonlinear econometric models asymptotic theory Benedikt M. Pötscher ; Ingmar R. Prucha |
title_short | Dynamic nonlinear econometric models |
title_sort | dynamic nonlinear econometric models asymptotic theory |
title_sub | asymptotic theory |
topic | Asymptotische analyse gtt Econometrische modellen gtt Modelos econométricos Modelos lineales (Estadística) Niet-lineaire modellen gtt Ökonometrisches Modell Econometric models Linear models (Statistics) Robustheit (DE-588)4126481-2 gnd Nichtlineares mathematisches Modell (DE-588)4127859-8 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Asymptotische Statistik (DE-588)4203167-9 gnd Ökonometrisches Modell (DE-588)4043212-9 gnd Entscheidungsmodell (DE-588)4121201-0 gnd |
topic_facet | Asymptotische analyse Econometrische modellen Modelos econométricos Modelos lineales (Estadística) Niet-lineaire modellen Ökonometrisches Modell Econometric models Linear models (Statistics) Robustheit Nichtlineares mathematisches Modell Nichtlineares dynamisches System Asymptotische Statistik Entscheidungsmodell |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007829103&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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