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Re-weighted functional estimation of second-order diffusion processes

Yunyan Wang (), Lixin Zhang () and Mingtian Tang ()

Metrika: International Journal for Theoretical and Applied Statistics, 2012, vol. 75, issue 8, 1129-1151

Abstract: Second-order diffusion process can not only model integrated and differentiated diffusion processes but also overcome the difficulties associated with the nondifferentiability of the Brownian motion, so these models play an important role in econometric analysis. In this paper, we propose a re-weighted estimator of the diffusion coefficient in the second-order diffusion model. Consistence of the estimator is proved under appropriate conditions and the conditions that ensure the asymptotic normality are also stated. The performance of the proposed estimator is assessed by simulation study. Copyright Springer-Verlag 2012

Keywords: Asymptotic normality; Consistency; Diffusion process; Empirical likelihood; Re-weighted estimator (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s00184-011-0372-6

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