Artikel

Bootstrap tests for overidentification in linear regression models

We study the finite-sample properties of tests for overidentifying restrictions in linear regression models with a single endogenous regressor and weak instruments. Under the assumption of Gaussian disturbances, we derive expressions for a variety of test statistics as functions of eight mutually independent random variables and two nuisance parameters. The distributions of the statistics are shown to have an ill-defined limit as the parameter that determines the strength of the instruments tends to zero and as the correlation between the disturbances of the structural and reduced-form equations tends to plus or minus one. This makes it impossible to perform reliable inference near the point at which the limit is ill-defined. Several bootstrap procedures are proposed. They alleviate the problem and allow reliable inference when the instruments are not too weak. We also study their power properties.

Sprache
Englisch

Erschienen in
Journal: Econometrics ; ISSN: 2225-1146 ; Volume: 3 ; Year: 2015 ; Issue: 4 ; Pages: 825-863 ; Basel: MDPI

Klassifikation
Wirtschaft
Econometric and Statistical Methods and Methodology: General
Hypothesis Testing: General
Statistical Simulation Methods: General
Multiple or Simultaneous Equation Models; Multiple Variables: General
Thema
Sargan test
Basmann test
Anderson-Rubin test
weak instruments

Ereignis
Geistige Schöpfung
(wer)
Davidson, Russell
MacKinnon, James G.
Ereignis
Veröffentlichung
(wer)
MDPI
(wo)
Basel
(wann)
2015

DOI
doi:10.3390/econometrics3040825
Handle
Letzte Aktualisierung
10.03.2025, 11:42 MEZ

Datenpartner

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Objekttyp

  • Artikel

Beteiligte

  • Davidson, Russell
  • MacKinnon, James G.
  • MDPI

Entstanden

  • 2015

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