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The Bierens test under data dependence. (English) Zbl 0855.62073
Summary: This paper generalizes the consistent model specification test proposed by H. J. Bierens [Econometrica 58, No. 6, 1443-1458 (1990; Zbl 0737.62058)] to the framework of time series. The main problem encountered in this generalization is the fact that time series usually are functions of an infinite number of random variables. A simulation procedure that is capable of establishing asymptotically valid critical values for such a test is described.

62M10 Time series, auto-correlation, regression, etc. in statistics (GARCH)
62F05 Asymptotic properties of parametric tests
62E20 Asymptotic distribution theory in statistics
Full Text: DOI
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