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Semiparametric estimation and prediction for time series cross sectional data

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  • Bunke, Olaf

Abstract

This paper discusses a methodology which uses time series cross sectional datafor the estimation of a time dependent regression function depending on explanatory variables and for the prediction of values of the dependent variable. The methodology assumes independent observations and is based on an adaptive semiparametric regression estimate depending on the observations from an adaptive running time window. The adaptation consists in the selection of the length (or horizon) of such a window together with one of numerous alternative parametric, nonparametric, additive and semiparametric estimators by minimization of a cross-validation criterion. In the prediction case the window contains only actual and past observations. It is shown, how to asses the influence of explanatory variables by generalized coefficients of determination which are adapted to the special objective of the statistical analysis. This aspect and our regression methodology is illustrated in the case of an analysis of stock market returns. An extended semiparametric methodology is also presented which allows the estimation of additive individual effects and which may essentially improve a traditional panel data analysis.

Suggested Citation

  • Bunke, Olaf, 1998. "Semiparametric estimation and prediction for time series cross sectional data," SFB 373 Discussion Papers 1998,48, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    • Handle: RePEc:zbw:sfb373:199848
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    1. Hardle, Wolfgang & Linton, Oliver, 1986. "Applied nonparametric methods," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 38, pages 2295-2339, Elsevier.
    2. Fama, Eugene F & French, Kenneth R, 1995. "Size and Book-to-Market Factors in Earnings and Returns," Journal of Finance, American Finance Association, vol. 50(1), pages 131-155, March.
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    Cited by:

    1. Schulz, Rainer & Werwatz, Axel, 2001. "A state space model for Berlin house prices," SFB 373 Discussion Papers 2001,58, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.

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