64 citations · 183 across the 5 of their papers we have counts for
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Moderate and maximal inequalities for diffusion processes and conformal martingales
Xian Chen, Yong Chen, Mumien Cheng +1
The maximal inequalities for martingales are one of the classical results in the theory of stochastic processes. Here we establish the sharp moderate maximal inequalities for…
Limit theorems for generalized density-dependent Markov chains and bursty stochastic gene regulatory networks
Xian Chen, Chen Jia
Stochastic gene regulatory networks with bursting dynamics can be modeled mesocopically as a generalized density-dependent Markov chain (GDDMC) or macroscopically as a piecewise-de…
Sharp moderate maximal inequalities for upward skip-free Markov chains
Chen Jia
The maximal inequalities for martingales are one of the classical results in probability theory. Here we establish the sharp moderate maximal inequalities for upward skip-fre…
A solution to the reversible embedding problem for finite Markov chains
Chen Jia
The embedding problem for Markov chains is a famous problem in probability theory and only partial results are available up till now. In this paper, we propose a variant of the emb…