Convergence to Stochastic Integrals with Non-linear integrands
AbstractIn this paper we present a general result concerning the convergence to stochastic integrals with non-linear integrands. The key finding represents a generalization of Chan and Wei's (1988) Theorem 2.4 and that of Ibragimov and Phillips' (2004) Theorem 8.2. This result is necessary for analysing the asymptotic properties of mis-specification tests, when applied to a unit root process, for which Wooldridge (1999) mentioned that the exiting results in the literature were not sufficient.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Economics Group, Nuffield College, University of Oxford in its series Economics Papers with number 2007-W02.
Length: 18 pages
Date of creation: 12 Feb 2007
Date of revision:
Contact details of provider:
Web page: http://www.nuff.ox.ac.uk/economics/
non-stationarity; unit roots; convergence; autoregressive processes; martingales stochastic integrals; non-linearity.;
Other versions of this item:
- Bent Nielsen & Carlos Caceres, 2007. "Convergence to Stochastic Integrals with Non-linear Integrands," Economics Series Working Papers 2007-W02, University of Oxford, Department of Economics.
- NEP-ALL-2007-02-17 (All new papers)
- NEP-ECM-2007-02-17 (Econometrics)
- NEP-ETS-2007-02-17 (Econometric Time Series)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-38, May.
- Ibragimov, Rustam & Phillips, Peter C.B., 2008.
"Regression asymptotics using martingale convergence methods,"
2624459, Harvard University Department of Economics.
- Ibragimov, Rustam & Phillips, Peter C.B., 2008. "Regression Asymptotics Using Martingale Convergence Methods," Econometric Theory, Cambridge University Press, vol. 24(04), pages 888-947, August.
- Rustam Ibragimov & Peter C.B. Phillips, 2004. "Regression Asymptotics Using Martingale Convergence Methods," Cowles Foundation Discussion Papers 1473, Cowles Foundation for Research in Economics, Yale University.
- Kuswanto, Heri & Sibbertsen, Philipp, 2009. "Testing for Long Memory Against ESTAR Nonlinearities," Diskussionspapiere der Wirtschaftswissenschaftlichen FakultÃ¤t der Leibniz UniversitÃ¤t Hannover dp-427, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Maxine Collett).
If references are entirely missing, you can add them using this form.