Nonparametric estimation of jump diffusion models

Joon Y. Park and Bin Wang

Journal of Econometrics, 2021, vol. 222, issue 1, 688-715

Abstract: This paper develops the asymptotics for nonparametric kernel estimators of local time, drift and volatilities, and Lévy measure in jump diffusion models. Our asymptotics are developed in a very general set-up, allowing the sample span to increase as the sampling interval decreases, and without assuming stationarity. For drift and volatilities, we analyze both local constant and local linear estimators. We consider not only estimators for instantaneous conditional second moment, but also threshold estimators to disentangle diffusive and jump volatilities. The optimal bandwidths are provided for all these estimators.

Keywords: Nonparametric estimation; Jump diffusion; Asymptotics; Local time; Drift; Diffusive and jump volatility; Lévy measure; Threshold estimation; Optimal bandwidth (search for similar items in EconPapers)
JEL-codes: C14 C22 C58 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:222:y:2021:i:1:p:688-715

DOI: 10.1016/j.jeconom.2020.07.020

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