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Séminaire MALINVAUD du 24 Mars 2011
Jaap H. ABBRING (CentER, Department of Econometrics & OR, Tilburg University)
"The likelihood of Mixed Hitting Times" with Tim Salimans (Tinbergen Institute, Erasmus University)
de 14 h à 15 h 30 en Salle S016 à l'INSEE-CREST, 15 Boulevard Gabriel Péri, 92245 MALAKOFF (Métro : Malakoff/Plateau de Vanves (Immeuble "Malakoff 2)).
We present a method for efficiently computing the likelihood of a mixed hitting-time model that specifies durations as the first time a latent Lévy process crosses a heterogeneous threshold. This likelihood is not generally known in closed form, but its Laplace transform is. Our approach to its computation relies on numerical methods for inverting Laplace transforms that exploit special properties of the first passage times of Lévy processes. We use our method to implement a maximum likelihood estimator of the mixed hitting-time model in MATLAB. We illustrate the application of this estimator with an analysis of Kennan’s (1985) strike data.