TY  - BOOK
AU  - Cavaliere,Giuseppe
AU  - Taylor,Robert
TI  - Heteroskedastic time series with a unit root
SN  - 02664666
AV  - HB139.T52 ECO 
PY  - 2009///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Time series analysis
KW  - Heteroscedasticity
KW  - Unit root test
N2  - 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
UR  - https://doi.org/10.1017/S026646660809049X
ER  -