Pötscher, Benedikt M. (2011): On the order of magnitude of sums of negative powers of integrated processes. Unpublished.
This is the latest version of this item.
| PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 259Kb |
Bounds on the order of magnitude of sums of negative powers of integrated processes are derived.
| Item Type: | MPRA Paper |
|---|---|
| Language: | English |
| Keywords: | integrated proesses, sums of negative powers, order of magnitude, martingale transform |
| Subjects: | C - Mathematical and Quantitative Methods > C2 - Econometric Methods: Single Equation Models; Single Variables > C22 - Time-Series Models; Dynamic Quantile Regressions |
| ID Code: | 35499 |
| Deposited By: | Benedikt Poetscher |
| Deposited On: | 20. Dec 2011 22:27 |
| Last Modified: | 20. Dec 2011 22:27 |
| References: | Berkes, I. & L. Horvath (2006): "Convergence of Integral Functionals of Stochastic Processes", Econometric Theory 22, 304--322. Borodin, A.N. & I.A. Ibragimov (1995): "Limit Theorems for Functionals of Random Walks", Proceedings of the Steklov Institute of Mathematics 195(2). Christopeit, N. (2009): "Weak Convergence of Nonlinear Transformations of Integrated Processes: The Multivariate Case", Econometric Theory 25, 1180--1207. Chung, K.L. (2001): A Course in Probability Theory. 3rd ed. Academic Press. Chung, K.L. & R.J. Williams (1990): Introduction to Stochastic Integration. 2nd ed. Birkhäuser. de Jong, R.M. (2004): "Addendum to 'Asymptotics for Nonlinear Transformations of Integrated Time Series'", Econometric Theory 20, 627-635. de Jong, R.M. & C. Wang (2005): "Further Results on the Asymptotics for Nonlinear Transformations of Integrated Time Series", Econometric Theory 21, 413-430. Jeganathan, P. (2004): "Convergence of Functionals of Sums of R.V.s to Local Times of Fractional Stable Motions", Annals of Probability 32, 1771--1795. Lai, T.L. & C.Z. Wei (1982): "Least Squares Estimates in Stochastic Regression Models With Applications to Identification and Control of Dynamic Systems", Annals of Statistics 10, 154-166. Ibragimov, R. & P.C.B. Phillips (2008): "Regression Asymptotics Using Martingale Convergence Methods", Econometric Theory 24, 888-947. Park, J.Y. & P.C.B. Phillips (1999): "Asymptotics for Nonlinear Transformations of Integrated Time Series", Econometric Theory 15, 269-298. Pötscher, B.M. (2004): "Nonlinear Functionals and Convergence to Brownian Motion: Beyond the Continuous Mapping Theorem", Econometric Theory 20, 1-22. |
All papers reproduced by permission. Reproduction and distribution subject to the approval of the copyright owners.
Repository Staff Only: item control page