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math.PR2018★ 1 cited
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…
math.PR2017
Distributional Compatibility for Change of Measures
Jie Shen, Yi Shen, Bin Wang +1
In this paper, we characterize compatibility of distributions and probability measures on a measurable space. For a set of indices , we say that the tuples of probabili…