Francq, C; Makarova, S; Michel-Zakoian, J; (2008) A class of stochastic unit-root bilinear processes: Mixing properties and unit-root test. J ECONOMETRICS , 142 (1) 312 - 326. 10.1016/j.jeconom.2007.04.003.
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A class of stochastic unit-root bilinear processes, allowing for GARCH-type effects with asymmetries, is studied. Necessary and sufficient conditions for the strict and second-order stationarity of the error process are given. The strictly stationary solution is shown to be strongly mixing under mild additional assumptions. It follows that, in this model, the standard (non-stochastic) unit-root tests of Phillips-Perron and Dickey-Fuller are asymptotically valid to detect the presence of a (stochastic) unit-root. The finite sample properties of these tests are studied via Monte-Carlo experiments. (C) 2007 Elsevier B.V. All rights reserved.
|Title:||A class of stochastic unit-root bilinear processes: Mixing properties and unit-root test|
|Keywords:||augmented Dickey-Fuller test, bilinear processes, GARCH, mixing, Phillips-Perron test, stochastic unit-roots, CONSISTENT COVARIANCE-MATRIX, TIME-SERIES REGRESSION, CONDITIONAL HETEROSKEDASTICITY, GARCH PROCESSES, LONG MEMORY, MODELS, STATIONARITY, VOLATILITY|
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