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20052026
most citedModeling high-frequency financial data by pure jump processes

59 citations · 202 across the 12 of their papers we have counts for

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6 papers · 1 filter

math.ST2025

On Convergence Rates of Spiked Eigenvalue Estimates: A General Study of Global and Local Laws in Sample Covariance Matrices

Bing-Yi Jing, Weiming Li, Jiahui Xie +2

This paper investigates global and local laws for sample covariance matrices with general growth rates of dimensions. The sample size and population dimension can have the…

math.ST2021★ 3 cited

Convergence of Gaussian process regression: Optimality, robustness, and relationship with kernel ridge regression

Wenjia Wang, Bing-Yi Jing

In this work, we investigate Gaussian process regression used to recover a function based on noisy observations. We derive upper and lower error bounds for Gaussian process regress…

math.ST2015★ 52 cited

Testing for pure-jump processes for high-frequency data

Xin-Bing Kong, Zhi Liu, Bing-Yi Jing

Pure-jump processes have been increasingly popular in modeling high-frequency financial data, partially due to their versatility and flexibility. In the meantime, several statistic…

math.ST2012★ 34 cited

Nonparametric estimate of spectral density functions of sample covariance matrices: A first step

Bing-Yi Jing, Guangming Pan, Qi-Man Shao +1

The density function of the limiting spectral distribution of general sample covariance matrices is usually unknown. We propose to use kernel estimators which are proved to be cons…

math.ST2012★ 59 cited

Modeling high-frequency financial data by pure jump processes

Bing-Yi Jing, Xin-Bing Kong, Zhi Liu

It is generally accepted that the asset price processes contain jumps. In fact, pure jump models have been widely used to model asset prices and/or stochastic volatilities. The que…

math.ST2005★ 29 cited

Saddlepoint approximation for Student's t-statistic with no moment conditions

Bing-Yi Jing, Qi-Man Shao, Wang Zhou

A saddlepoint approximation of the Student's t-statistic was derived by Daniels and Young [Biometrika 78 (1991) 169-179] under the very stringent exponential moment condition that…