Local Linear Estimation of Recurrent Jump-Diffusion Models

Author: Hanif Muhammad  

Publisher: Taylor & Francis Ltd

ISSN: 0361-0926

Source: Communications in Statistics: Theory and Methods, Vol.41, Iss.22, 2012-11, pp. : 4142-4163

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Abstract

In this article, we provide a nonparametric estimation of first and second infinitesimal moments of the underlying jump diffusion model. We show that under certain regularity conditions the nonparametric estimations of first and second infinitesimal moments based on the local linear estimator are consistent and asymptotically follow normal distributions.