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.

Language
Englisch

Bibliographic citation
Series: Working Paper ; No. 2003-14

Classification
Wirtschaft
Single Equation Models; Single Variables: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
Model Evaluation, Validation, and Selection
Subject
block bootstrap
conditional Kolmogorov test
data snooping
misspecified conditional distribution
Bootstrap-Verfahren
Statistische Verteilung
Theorie
conditional Kolmogorov test

Event
Geistige Schöpfung
(who)
Corradi, Valentina
Swanson, Norman R.
Event
Veröffentlichung
(who)
Rutgers University, Department of Economics
(where)
New Brunswick, NJ
(when)
2003

Handle
Last update
10.03.2025, 11:43 AM CET

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Object type

  • Arbeitspapier

Associated

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

Time of origin

  • 2003

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