Arbeitspapier

A bootstrap test for single index models

Single index models are frequently used in econometrics and biometrics. Logit and Probit models are special cases with fixed link functions. In this paper we consider a bootstrap specification test that detects nonparametric deviations of the link function. The bootstrap is used with the aim to find a more accurate distribution under the null than the normal approximation. We prove that the statistic and its bootstrapped version have the same asymptotic distribution. In a simulation study we show that the bootstrap is able to capture the negative bias and the skewness of the test statistic. It yields better approximations to the true critical values and consequently it has a more accurate level than the normal approximation.

Sprache
Englisch

Erschienen in
Series: SFB 373 Discussion Paper ; No. 2000,20

Klassifikation
Wirtschaft
Thema
bootstrap
kernel estimate
single index model
specification test

Ereignis
Geistige Schöpfung
(wer)
Härdle, Wolfgang
Mammen, Enno
Proença, Isabel
Ereignis
Veröffentlichung
(wer)
Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes
(wo)
Berlin
(wann)
2000

Handle
URN
urn:nbn:de:kobv:11-10047246
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

  • Härdle, Wolfgang
  • Mammen, Enno
  • Proença, Isabel
  • Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes

Entstanden

  • 2000

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