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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.

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  • 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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