Artikel

Polynomial regressions and nonsense inference

Polynomial specifications are widely used, not only in applied economics, but also in epidemiology, physics, political analysis and psychology, just to mention a few examples. In many cases, the data employed to estimate such specifications are time series that may exhibit stochastic nonstationary behavior. We extend Phillips' results (Phillips, P. Understanding spurious regressions in econometrics. J. Econom. 1986, 33, 311-340.) by proving that an inference drawn from polynomial specifications, under stochastic nonstationarity, is misleading unless the variables cointegrate. We use a generalized polynomial specification as a vehicle to study its asymptotic and finite-sample properties. Our results, therefore, lead to a call to be cautious whenever practitioners estimate polynomial regressions.

Sprache
Englisch

Erschienen in
Journal: Econometrics ; ISSN: 2225-1146 ; Volume: 1 ; Year: 2013 ; Issue: 3 ; Pages: 236-248 ; Basel: MDPI

Klassifikation
Wirtschaft
Thema
polynomial regression
misleading inference
integrated processes

Ereignis
Geistige Schöpfung
(wer)
Ventosa-Santaulària, Daniel
Rodríguez-Caballero, Carlos Vladimir
Ereignis
Veröffentlichung
(wer)
MDPI
(wo)
Basel
(wann)
2013

DOI
doi:10.3390/econometrics1030236
Handle
Letzte Aktualisierung
10.03.2025, 11:42 MEZ

Datenpartner

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Objekttyp

  • Artikel

Beteiligte

  • Ventosa-Santaulària, Daniel
  • Rodríguez-Caballero, Carlos Vladimir
  • MDPI

Entstanden

  • 2013

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