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Forecasting chaotic systems: The role of local Lyapunov exponents

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Author Info
Dominique Guégan
Justin Leroux () (IEA, HEC Montréal)

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Abstract

We propose a novel methodology for forecasting chaotic systems which is based on the nearest-neighbor predictor and improves upon it by incorporating local Lyapunov exponents to correct for its inevitable bias. Using simulated data, we show that gains in prediction accuracy can be substantial. The general intuition behind the proposed method can readily be applied to other non-parametric predictors.

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File URL: http://www2.hec.ca/iea/cahiers/2007/iea0712_jleroux.pdf
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Publisher Info
Paper provided by HEC Montréal, Institut d'économie appliquée in its series Cahiers de recherche with number 07-12.

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Length: 12 pages
Date of creation: Dec 2007
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Handle: RePEc:iea:carech:0712

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Postal: Institut d'économie appliquée HEC Montréal 3000, Chemin de la Côte-Sainte-Catherine Montréal, Québec H3T 2A7
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Postal: Institut d'économie appliquée HEC Montréal 3000, Chemin de la Côte-Sainte-Catherine Montréal, Québec H3T 2A7
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  1. Dominique Guégan & Justin Leroux, 2008. "Local Lyapunov exponents: Zero plays no role in Forecasting chaotic systems," Cahiers de recherche 08-10, HEC Montréal, Institut d'économie appliquée. [Downloadable!]
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This page was last updated on 2009-12-17.


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