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Chi-Square Diagnostic Tests for Econometric Models: Theory

Опубликовано на портале: 13-04-2004
Econometrica. 1988.  Vol. 56. No. 6. P. 1419-1453. 
Тематический раздел:
This paper extends the Pearson chi-square testing method to nondynamic parametric econometric models, in particular, to models with covariates. The paper establishes the asymptotic distribution of the test statistic under the null and local alternatives when the test statistic is based on data-dependent random cells of a general form and on an arbitrary asymptotically normal estimator. These results are attained by extending recent probabilistic results for the weak convergence of empirical processes indexed by sets. The chi-square test that is introduced can be used to test goodness-of-fit of a parametric model, as well as to test particular aspects of the parametric model that are of interest.
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См. также:
Robert J. Aumann
Econometrica. 1964.  Vol. 32. No. 1/2. P. 39-50. 
Борис Васильевич Боев, Элита Рустамовна Салман, Александр Викторович Баранчиков
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John Aitchison, Samuel D. Silvey
Biometrika. 1957.  Vol. 44. No. 1/2. P. 131-140. 
Ray C. Fair
Journal of Political Economy. 1978.  Vol. 86. P. 45-61. 
Jerry Hausman
Econometrica. 1978.  Vol. 46. No. 6. P. 1251-1272. 
Robert F. Engle, Kenneth F. Kroner
Econometric Theory. 1995.  Vol. 11. No. 1. P. 122-150.