First-order asymptotic theory for parametric misspecification tests of garch models

Andreea G. Halunga, Chris D. Orme

Research output: Contribution to journalArticlepeer-review


This paper develops a framework for the construction and analysis of parametric misspecification tests for generalized autoregressive conditional heteroskedastic (GARCH) models, based on first-order asymptotic theory. The principal finding is that estimation effects from the correct specification of the conditional mean (regression) function can be asymptotically nonnegligible. This implies that certain procedures, such as the asymmetry tests of Engle and Ng (1993, Journal of Finance 48, 17491777) and the nonlinearity test of Lundbergh and Tersvirta (2002, Journal of Econometrics 110, 417435), are asymptotically invalid. A second contribution is the proposed use of alternative tests for asymmetry and/or nonlinearity that, it is conjectured, should enjoy improved power properties. A Monte Carlo study supports the principal theoretical findings and also suggests that the new tests have fairly good size and very good power properties when compared with the Engle and Ng (1993) and Lundbergh and Tersvirta (2002) procedures. © 2009 Copyright Cambridge University Press.
Original languageEnglish
Pages (from-to)364-410
Number of pages46
JournalEconometric Theory
Issue number2
Publication statusPublished - Apr 2009


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