Arbeitspapier

Statistical tests and estimators of the rank of a matrix and their applications in econometric modelling

Testing and estimating the rank of a matrix of estimated parameters is key in a large variety of econometric modelling scenarios. This paper describes general methods to test for and estimate the rank of a matrix, and provides details on a variety of modelling scenarios in the econometrics literature where such methods are required. Four different methods to test the true rank of a general matrix are described, as well as one method that can handle the case of a matrix subject to parameter constraints associated with defineteness structures. The technical requirements for the implementation of the tests of rank of a general matrix differ and hence there are merits to all of them that justify their use in applied work. Nonetheless, we review available evidence of their small sample properties in the context of different modelling scenarios where all, or some, are applicable.

Sprache
Englisch

Erschienen in
Series: ECB Working Paper ; No. 850

Klassifikation
Wirtschaft
Hypothesis Testing: General
Statistical Simulation Methods: General
Multiple or Simultaneous Equation Models: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
Thema
model specification
Multiple time series
tests of rank
Ökonometrisches Modell
Statistischer Test
Zeitreihenanalyse
Ranking-Verfahren
Schätztheorie
Theorie

Ereignis
Geistige Schöpfung
(wer)
Camba-Méndez, Gonzalo
Kapetanios, George
Ereignis
Veröffentlichung
(wer)
European Central Bank (ECB)
(wo)
Frankfurt a. M.
(wann)
2008

Handle
Letzte Aktualisierung
10.03.2025, 11:43 MEZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Objekttyp

  • Arbeitspapier

Beteiligte

  • Camba-Méndez, Gonzalo
  • Kapetanios, George
  • European Central Bank (ECB)

Entstanden

  • 2008

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