Selective linear segmentation for detecting relevant parameter changes

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30 Septembre 2019
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Cahier de recherche
Arnaud Dufays
Alain Coën
Axe de recherche: 
Enjeux économiques et financiers
time-varying parameter
model selection
Hedge funds
Classification JEL: 

Change-point processes are one flexible approach to model long time series. We propose a method to uncover which model parameter truly vary when a change-point is detected. Given a set of breakpoints, we use a penalized likelihood approach to select the best set of parameters that changes over time and we prove that the penalty function leads to a consistent selection of the true model. Estimation is carried out via the deterministic annealing expectation-maximization algorithm. Our method accounts for model selection uncertainty and associates a probability to all the possible time-varying parameter specications. Monte Carlo simulations highlight that the method works well for many time series models including heteroskedastic processes. For a sample of 14 Hedge funds (HF) strategies, using an asset based style pricing model, we shed light on the promising ability of our method to detect the time-varying dynamics of risk exposures as well as to forecast HF returns.


Arnaud Dufays : Département des sciences de gestion, Université Namur et Département d'économique, Université Laval. CRREP et CeReFiM.
Elysee Aristide Houndetoungan : Département d'économique, Université Laval.
Alain Coën : Department of Finance, UQAM.