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Pseudo-maximum likelihood estimation in two classes of semiparametric diffusion models

  • Kristensen, Dennis

Two classes of semiparametric diffusion models are considered, where either the drift or the diffusion term is parameterized, while the other term is left unspecified. We propose a pseudo-maximum likelihood estimator (PMLE) of the parametric component that maximizes the likelihood with a preliminary estimator of the unspecified term plugged in. It is demonstrated how models and estimators can be used in a two-step specification testing strategy of semiparametric and fully parametric models, and shown that approximate/simulated versions of the PMLE inherit the properties of the actual but infeasible estimator. A simulation study investigates the finite sample performance of the PMLE.

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Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 156 (2010)
Issue (Month): 2 (June)
Pages: 239-259

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Handle: RePEc:eee:econom:v:156:y:2010:i:2:p:239-259
Contact details of provider: Web page: http://www.elsevier.com/locate/jeconom

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