Authors: Funke, Benedikt
Title: Nonparametric drift estimation in a Lévy driven diffusion model
Language (ISO): en
Abstract: In this article, a pointwise nonparametric kernel based estimator for the drift function in a Levy driven jump diffusion model is proposed. Under ergodicity and stationarity of the underlying process X, we derive asymptotic properties as consistency and asymptotic normality of the estimator. In addition, we propose a consistent estimator of the asymptotic variance. Moreover, we show that this approach is robust under microstructure noise by using the preaveraging approach proposed in Podolskij and Vetter (2006).
Subject Headings: kernel estimator
microstructure noise
jump diffusion
Issue Date: 2015
Appears in Collections:Sonderforschungsbereich (SFB) 823

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