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A simple non-linear model with fractional integration for financial time series data

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  • Gil-Alana, Luis A.

Abstract

This paper provides several examples of simple non-linear time series models with fractionally integrated disturbances. Both types of models (non-linear and fractional integration) have been widely used in recent years when modeling financial data. We use a testing procedure that permits us to test the order of integration in raw time series in the context of non-linear models. The tests are applied to several financial time series, the results showing that when the non-linear sign structure is taken into account, the order of integration of the series is much higher than one, finding thus conclusive evidence against mean reversion in their behavior.

Suggested Citation

  • Gil-Alana, Luis A., 2008. "A simple non-linear model with fractional integration for financial time series data," International Review of Financial Analysis, Elsevier, vol. 17(5), pages 838-848, December.
    • Handle: RePEc:eee:finana:v:17:y:2008:i:5:p:838-848
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    1. Christos Kollias & Stephanos Papadamou & Costas Siriopoulos, 2016. "Stock markets and effective exchange rates in European countries: threshold cointegration findings," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 6(2), pages 215-274, August.

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