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Reweighted Nadaraya-Watson estimation of jump-diffusion models 被引量:4

Reweighted Nadaraya-Watson estimation of jump-diffusion models
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摘要 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. 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.
出处 《Science China Mathematics》 SCIE 2012年第5期1005-1016,共12页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant Nos.10871177,11071213) Research Fund for the Doctor Program of Higher Education of China (Grant No.20090101110020)
关键词 continuous time model Harris recurrence jump-diffusion model local time nonparametric estimation RNW estimator 非参数估计 扩散模型 加权 跳跃 渐近正态性 时间模型 功能使用 一致性
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