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- Title
HETEROSKEDASTIC TIME SERIES WITH A UNIT ROOT.
- Authors
Cavaliere, Giuseppe; Taylor, A. M. Robert
- Abstract
In this paper we provide a unified theory, and associated invariance principle, for the large-sample distributions of the Dickey-Fuller class of statistics when applied to unit root processes driven by innovations displaying nonstationary stochastic volatility of a very general form. These distributions are shown to depend on both the spot volatility and the integrated variation associated with the innovation process. We propose a partial solution (requiring any leverage effects to be asymptotically negligible) to the identified inference problem using a wild bootstrap-based approach. Results are initially presented in the context of martingale differences and are later generalized to allow for weak dependence. Monte Carlo evidence is also provided that suggests that our proposed bootstrap tests perform very well in finite samples in the presence of a range of innovation processes displaying nonstationary volatility and/or weak dependence.
- Subjects
DISTRIBUTION (Probability theory); STATISTICS; MARKET volatility; TECHNOLOGICAL innovations; DEPENDENCE (Statistics)
- Publication
Econometric Theory, 2009, Vol 25, Issue 5, p1228
- ISSN
0266-4666
- Publication type
Article
- DOI
10.1017/S026646660809049X