Regime switching model: real or spurious long memory?
Dominique Guegan () and
Stéphanie Rioublanc ()
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Dominique Guegan: IDHE - Institutions et Dynamiques Historiques de l'Economie - ENS Cachan - École normale supérieure - Cachan - UP1 - Université Paris 1 Panthéon-Sorbonne - UP8 - Université Paris 8 Vincennes-Saint-Denis - UPN - Université Paris Nanterre - CNRS - Centre National de la Recherche Scientifique
Stéphanie Rioublanc: IDHE - Institutions et Dynamiques Historiques de l'Economie - ENS Cachan - École normale supérieure - Cachan - UP1 - Université Paris 1 Panthéon-Sorbonne - UP8 - Université Paris 8 Vincennes-Saint-Denis - UPN - Université Paris Nanterre - CNRS - Centre National de la Recherche Scientifique
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Abstract:
In this paper, we analyze the possible confusion in terms of long memory behavior of the autocorrelation function of a Markov switching model. Such a model is known to have a short memory behavior. Analyzing the value of sum of the transition probabilities and the number of switches inside such a model, we show their impact to create long memory. The ability of the true Markov switching model to predict is compared with the forecasts obtained from a long memory process adjusted on data derived from the former model. It is shown that, in certain cases, this spurious long memory behavior can be benefit to get better forecasts.
Keywords: jumps; forecasts; FARMA processes; Markov switching processes; Markov switching model; FARMA processus; prévisions; sauts (search for similar items in EconPapers)
Date: 2005-12
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00189208v1
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Citations: View citations in EconPapers (2)
Published in 2005
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Working Paper: Regime switching models: real or spurious long memory? (2005) 
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00189208
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