Arbeitspapier

Bootstrap Conditional Distribution Tests In the Presence of Dynamic Misspecification

In this paper, we show the first order validity of the block bootstrap in the context of Kolmogorov type conditional distribution tests when there is dynamic misspecification and parameter estimation error. Our approach differs from the literature to date because we construct a bootstrap statistic that allows for dynamic misspecification under both hypotheses. We consider two test statistics; one is the CK test of Andrews (1997), and the other is in the spirit of Diebold, Gunther and Tay (1998). The limiting distribution of both tests is a Gaussian process with a covariance kernel that reflects dynamic misspecification and parameter estimation error. In order to provide valid asymptotic critical values we suggest an extention of the empirical process version of the block bootstrap to the case of non vanishing parameter estimation error. The findings from Monte Carlo experiments show that both statistics have good finite sample properties for samples as small as 500 observations.

Sprache
Englisch

Erschienen in
Series: Working Paper ; No. 2003-11

Klassifikation
Wirtschaft
Hypothesis Testing: General
Single Equation Models; Single Variables: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
Thema
block bootstrap
conditional distributions
conditional Kolmogorov tests
dynamic misspecification
parameter estimation error
Bootstrap-Verfahren
Statistische Verteilung
Theorie
conditional Kolmogorov test

Ereignis
Geistige Schöpfung
(wer)
Corradi, Valentina
Swanson, Norman R.
Ereignis
Veröffentlichung
(wer)
Rutgers University, Department of Economics
(wo)
New Brunswick, NJ
(wann)
2003

Handle
Letzte Aktualisierung
10.03.2025, 11:44 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Corradi, Valentina
  • Swanson, Norman R.
  • Rutgers University, Department of Economics

Entstanden

  • 2003

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