付金玉, 林金官. 噪音环境下跳特征函数的非参数估计[J]. 应用概率统计, 2022, 38(6): 887-903. DOI: 10.3969/j.issn.1001-4268.2022.06.007
引用本文: 付金玉, 林金官. 噪音环境下跳特征函数的非参数估计[J]. 应用概率统计, 2022, 38(6): 887-903. DOI: 10.3969/j.issn.1001-4268.2022.06.007
FU Jinyu, LIN Jinguan. Nonparametric Estimation of Jump Characteristics under Market Microstructure Noise[J]. Chinese Journal of Applied Probability and Statistics, 2022, 38(6): 887-903. DOI: 10.3969/j.issn.1001-4268.2022.06.007
Citation: FU Jinyu, LIN Jinguan. Nonparametric Estimation of Jump Characteristics under Market Microstructure Noise[J]. Chinese Journal of Applied Probability and Statistics, 2022, 38(6): 887-903. DOI: 10.3969/j.issn.1001-4268.2022.06.007

噪音环境下跳特征函数的非参数估计

Nonparametric Estimation of Jump Characteristics under Market Microstructure Noise

  • 摘要: 本文研究了在噪音环境下,跳特征函数的非参数估计问题. 结合极差增量和门限技术提出新的统计量,并给出相应的大样本性质. 实验表明提出的估计量对噪音是稳健的,尤其是在极高频数据的时候.

     

    Abstract: By exploiting financial high frequency data, we nonparametrically estimate the jump characteristic in the presence of market microstructure noise. Our estimator is based on the realized range increments and threshold technique. Besides, the bias caused by microstructure noise can be estimated and removed, if it is modeled as ask-bid spread, which is a used frequently assumption. We further present the asymptotic properties of the proposed estimator. Simulation studies show the estimator works well under microstructure noise. Finally, the estimator is also applied to the real data.

     

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