lq-regularization of the Kalman filter for exogenous outlier removal: application to hedge funds analysis
Jay, Emmanuelle; Duvaut, Patrick; Darolles, Serge; Gouriéroux, Christian (2011), lq-regularization of the Kalman filter for exogenous outlier removal: application to hedge funds analysis, Fourth International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), 2011-12, San Juan, Porto Rico
Type
Communication / ConférenceDate
2011Titre du colloque
Fourth International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP)Date du colloque
2011-12Ville du colloque
San JuanPays du colloque
Porto RicoMétadonnées
Afficher la notice complèteRésumé (EN)
This paper presents a simple and efficient exogenous outlier detection & estimation algorithm introduced in a regularized version of the Kalman Filter (KF). Exogenous outliers that may occur in the observations are considered as an additional stochastic impulse process in the KF observation equation that requires a regularization of the innovation in the KF recursive equations. Regularizing with a l1- or l2-norm needs to determine the value of the regularization parameter. Since the KF innovation error is assumed to be Gaussian we propose to first detect the possible occurrence of an exogenous impulsive spike and then to estimate its amplitude using an adapted value of the regularization parameter. The algorithm is first validated on synthetic data and then applied to a concrete financial case that deals with the analysis of hedge fund returns. The proposed algorithm can detect anomalies frequently observed in hedge returns such as illiquidity issues.Mots-clés
Kalman filter; Hedge fundsPublications associées
Affichage des éléments liés par titre et auteur.
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Gouriéroux, Christian; Darolles, Serge; Jay, Emmanuelle; Duvaut, Patrick (2011) Communication / Conférence
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Darolles, Serge; Duvaut, Patrick; Jay, Emmanuelle (2013) Chapitre d'ouvrage
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Darolles, Serge; Duvaut, Patrick; Jay, Emmanuelle (2013) Chapitre d'ouvrage
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Darolles, Serge; Duvaut, Patrick; Jay, Emmanuelle (2013) Ouvrage
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Darolles, Serge; Gagliardini, Patrick; Gouriéroux, Christian (2013-06) Communication / Conférence