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math.ST2026
Glivenko--Cantelli Theorems for Integrated Volatility Functionals in Pure-Jump Semimartingales with an Application to Cryptocurrency Markets
Dachuan Chen, Jia Li, Tian Xie +1
We develop a two-step procedure for estimating integrated volatility functionals, defined through the occupation measure of the latent spot volatility process, when the asset price…
math.ST2023
Spatial-sign based High Dimensional White Noises Test
Ping Zhao, Dachuan Chen, Zhaojun Wang
A spatial-sign based test procedure is proposed for high dimensional white noise test in this paper. We establish the limit null distribution and give the asymptotical relative eff…
math.ST2022
Rank Based Tests for High Dimensional White Noise
Dachuan Chen, Fengyi Song, Long Feng
The development of high-dimensional white noise test is important in both statistical theories and applications, where the dimension of the time series can be comparable to or exce…