8 citations · 13 across the 13 of their papers we have counts for
13 papers
Almost periodicity as a path property for -adic self-similar processes with stationary increments
Yi Shen, Zhenyuan Zhang
Shen and Zhang (2021) showed that almost periodicity naturally arises in the spectral representation of discrete-time -adic self-similar processes with stationary increments. In…
Combining e-values using demi-supermartingales
Jiahao Ming, Aaditya Ramdas, Yi Shen +2
We present a new method for combining e-variables through demi-supermartingales, which settles an old conjecture in the literature on nonparametric mean testing. It also provides a…
An aggregated model for Karlin stable processes
Yi Shen, Yizao Wang, Na Zhang
An aggregated model is proposed, of which the partial-sum process scales to the Karlin stable processes recently investigated in the literature. The limit extremes of the proposed…
On discrete-time self-similar processes with stationary increments
Yi Shen, Zhenyuan Zhang
In this paper we study the self-similar processes with stationary increments in a discrete-time setting. Different from the continuous-time case, it is shown that the scaling funct…
A Noether theorem for random locations
Shunlong Luo, Jie Shen, Yi Shen
We propose a unified framework for random locations exhibiting some probabilistic symmetries such as stationarity, self-similarity, etc. A theorem of Noether's type is proved, whic…
Operator-scaling Gaussian random fields via aggregation
Yi Shen, Yizao Wang
We propose an aggregated random-field model, and investigate the scaling limits of the aggregated partial-sum random fields. In our model, each copy of the random field in the aggr…