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Nonparametric Time-Series Estimation of Joint DGP, Conditional DGP, and Vector Autoregression

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  • Singh, Radhey S.
  • Ullah, Aman

Abstract

In this paper we develop nonparametric estimators of the joint time series data generating process (DGP) of ( x , y ) at different t -values, of conditional DGP, of the conditional mean of x given the past values of x and y , and, more generally, the conditional mean of ( x , y ) given their past values (vector autoregression). We establish, among other results, the central limit theorems for these estimators under far weaker mixing conditions than those used in Robinson [23], where only the x series is considered. Uniform consistency and rate results for the consistencies of various estimators are also obtained. The results of the paper are useful in light of the fact that often the functional form of the dynamic regression is not known and also the assumption of the Gaussian process is not true.

Suggested Citation

  • Singh, Radhey S. & Ullah, Aman, 1985. "Nonparametric Time-Series Estimation of Joint DGP, Conditional DGP, and Vector Autoregression," Econometric Theory, Cambridge University Press, vol. 1(01), pages 27-52, April.
  • Handle: RePEc:cup:etheor:v:1:y:1985:i:01:p:27-52_01
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    Cited by:

    1. Baghli, Mustapha & Cahn, Christophe & Fraisse, Henri, 2007. "Is the inflation-output Nexus asymmetric in the Euro area?," Economics Letters, Elsevier, vol. 94(1), pages 1-6, January.
    2. John Knight & Fuchun Li & Mingwei Yuan, 2006. "A Semiparametric Two-Factor Term Structure Model," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 4(2), pages 204-237.
    3. Ghysels, E. & Ng, S., 1996. "A Semi-Parametric Factor Model for Interest Rates," Cahiers de recherche 9612, Universite de Montreal, Departement de sciences economiques.
    4. Broadie, Mark & Detemple, Jerome & Ghysels, Eric & Torres, Olivier, 2000. "Nonparametric estimation of American options' exercise boundaries and call prices," Journal of Economic Dynamics and Control, Elsevier, vol. 24(11-12), pages 1829-1857, October.
    5. Pagan, Adrian & Ullah, Aman, 1988. "The Econometric Analysis of Models with Risk Terms," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 3(2), pages 87-105, April.
    6. Wu, Wei Biao & Huang, Yinxiao & Huang, Yibi, 2010. "Kernel estimation for time series: An asymptotic theory," Stochastic Processes and their Applications, Elsevier, vol. 120(12), pages 2412-2431, December.

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