On the Stationarity of First-order Nonlinear Time Series Models: Some Developments

Verfasser / Beitragende:
[Giovanni Fonseca]
Ort, Verlag, Jahr:
2004
Enthalten in:
Studies in Nonlinear Dynamics & Econometrics, 8/2(2004-05-18)
Format:
Artikel (online)
ID: 378929852
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100 1 |a Fonseca  |D Giovanni  |u 1University of Insubria Varese, gfonseca@eco.uninsubria.it 
245 1 0 |a On the Stationarity of First-order Nonlinear Time Series Models: Some Developments  |h [Elektronische Daten]  |c [Giovanni Fonseca] 
520 3 |a In the present paper we consider the general class of first-order nonlinear models. The main contributions concern primerly a generalization of the conditions for geometric ergodicity presented in Ferrante et al. (2003). The obtained result is then applied to two classes of first-order nonlinear models not previously addressed. Secondly we apply to general firstorder nonlinear models some recently developed conditions for the existence of the invariant measure of a Markov process. For this class of nonlinear models we also prove that the usual drift-condition for geometric ergodicity for Markov chains still holds even in the presence of an alternative assumption than T-continuity. 
540 |a ©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston 
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