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Reweighted Nadaraya-Watson estimation of jump-diffusion models
Authors:Muhammad Hanif  HanChao Wang  ZhengYan Lin
Affiliation:1. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China
Abstract:In this paper, we study the nonparametric estimation of the second infinitesimal moment by using the reweighted Nadaraya-Watson (RNW) approach of the underlying jump diffusion model. We establish strong consistency and asymptotic normality for the estimate of the second infinitesimal moment of continuous time models using the reweighted Nadaraya-Watson estimator to the true function.
Keywords:continuous time model  Harris recurrence  jump-diffusion model  local time  nonparametric estimation  RNW estimator
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