Convergence to Stochastic Integrals with Non-linear integrands
In 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.
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| Length: | 18 pages |
| Date of creation: | 12 Feb 2007 |
| Handle: | RePEc:nuf:econwp:0702 |
| Contact details of provider: | Web page: https://www.nuffield.ox.ac.uk/economics/
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References listed on IDEAS
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- 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.
- Ibragimov, Rustam & Phillips, Peter C.B., 2008. "Regression asymptotics using martingale convergence methods," Scholarly Articles 2624459, Harvard University Department of Economics.
- White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-838, May. Full references (including those not matched with items on IDEAS)
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