Nonlinear functions and convergence to Brownian motion: Beyond the continuous mapping theorem

Econometric Theory

Volumn 20, Issue 1, 2004, Pages 1-22

  Pötscher, Benedikt M ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0742323832     PISSN: 02664666     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0266466604201013     Document Type: Article

References (15)

1. Anderson, T.W. (1971) The Statistical Analysis of Time Series. Wiley.
2. Bauer, H. (1978) Wahrscheinlichkeitstheorie und Grundzuege der Masstheorie. 3rd ed. DeGruyter.
3. Billingsley, P. (1968) Convergence of Probability Measures. Wiley.
4. Borodin, A.N. & I.A. Ibragimov (1995) Limit Theorems for Functionals of Random Walks. Proceedings of the Steklov Institute of Mathematics 195(2).
5. Borodin, A.N. & P. Salminen (1996) Handbook of Brownian Motion: Facts and Formulae. Birkhäuser.
6. Chung, K.L. & R.J. Williams (1990) Introduction to Stochastic Integration. 2nd ed. Birkhäuser.
7. De Jong, R. (2002) Addendum to "Asymptotics for Nonlinear Transformations of Integrated Time Series." Working paper, Department of Economics, Michigan State University.
8. De Jong, R. & C.H. Wang (2002) Further Results on the Asymptotics for Nonlinear Transformations of Integrated Time Series. Working paper, Department of Economics, Michigan State University.
9. Ibragimov, I.A. & Yu.V. Linnik (1971) Independent and Stationary Sequences of Random Variables. Wolters-Noordhoff.
10. Jeganathan, P. (2002) Convergence of Functionals of Weighted Sums of Independent Random Variables to Local Times of Fractional Brownian and Stable Motions. Working paper, ISI, Bangalore.
11. Karatzas, I. & S.E. Shreve (1991) Brownian Motion and Stochastic Calculus. 2nd ed. Springer-Verlag.
12. Lukacs, E. (1970) Characteristic Functions. 2nd ed. Griffin.
13. Park, J.Y. & P.C.B. Phillips (1999) Asymptotics for nonlinear transformations of integrated time series, Econometric Theory 15, 269-298.
14. Park, J.Y. & P.C.B. Phillips (2001) Nonlinear regressions with integrated time series, Econometrica 69, 117-161.
15. Phillips, P.C.B. & V. Solo (1992) Asymptotics for linear processes, Annals of Statistics 20, 971-1001.