The likelihood of mixed hitting times

Jaap H. Abbring and Tim Salimans

Journal of Econometrics, 2021, vol. 223, issue 2, 361-375

Abstract: We present a method for 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.

Keywords: Duration analysis; First passage time; Identification; Laplace transform; Lévy process; Maximum likelihood; Mellin’s inverse formula; Mixture; Optimal stopping; Strike duration (search for similar items in EconPapers)
JEL-codes: C14 C41 (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:223:y:2021:i:2:p:361-375

DOI: 10.1016/j.jeconom.2019.08.017

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