Arbeitspapier

A Test for Comparing Multiple Misspecified Conditional Distributions

This paper introduces a conditional Kolmogorov test, in the spirit of Andrews (1997), that allows for comparison of multiple misspecifed conditional distribution models, for the case of dependent observations. A conditional confidence interval version of the test is also discussed. Model accuracy is measured using a distributional analog of mean square error, in which the squared (approximation) error associated with a given model, say model i; is measured in terms of the average over U of E((Fi(u|Zt,Theta-t-plus)-Fo(u|Zt,Theta-o)))^2; where U is a possibly unbounded set on the real line, Zt is the conditioning information set, Fi is the distribution function of a particular candidate model, and F0 is the true (unkown) distribution function. When comparing more than two models, a ?benchmark? model is specified, and the test is constructed along the lines of the ?reality check? of White (2000). Valid asymptotic critical values are obtained via a version of the block bootstrap which properly captures the effect of parameter estimation error. The results of a small Monte Carlo experiment indicate that the conditional confidence interval version of the test has reasonable finite sample properties even for samples with as few as 60 observations.

Sprache
Englisch

Erschienen in
Series: Working Paper ; No. 2003-14

Klassifikation
Wirtschaft
Single Equation Models; Single Variables: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
Model Evaluation, Validation, and Selection
Thema
block bootstrap
conditional Kolmogorov test
data snooping
misspecified conditional distribution
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, 11:43 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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