11 citations · 40 across the 39 of their papers we have counts for
6 papers · 1 filter
Some explorations on two conjectures about Rademacher sequences
Ze-Chun Hu, Guolie Lan, Wei Sun
In this paper, we explore two conjectures about Rademacher sequences. Let be a Rademacher sequence, i.e., a sequence of independent -valued symmetric random varia…
Hunt's Hypothesis (H) for Markov Processes: Survey and Beyond
Ze-Chun Hu, Wei Sun
The goal of this paper is threefold. First, we survey the existing results on Hunt's hypothesis (H) for Markov processes and Getoor's conjecture for Lévy processes. Second, we inve…
The Three-Dimensional Gaussian Product Inequality
Guolie Lan, Ze-Chun Hu, Wei Sun
We prove the 3-dimensional Gaussian product inequality, i.e., for any real-valued centered Gaussian random vector and , it holds that ${\mathbf{E}}[X^{2m…
Two Theorems on Hunt's Hypothesis (H) for Markov Processes
Ze-Chun Hu, Wei Sun, Li-Fei Wang
Hunt's hypothesis (H) and the related Getoor's conjecture is one of the most important problems in the basic theory of Markov processes. In this paper, we investigate the invarianc…
Convergence rates in the law of large numbers under sublinear expectations
Ze-Chun Hu, Ning-Hua Liu, Ting Ma
In this note, we study convergence rates in the law of large numbers for independent and identically distributed random variables under sublinear expectations. We obtain a strong $…
Products of Conditional Expectation Operators: Convergence and Divergence
Guolie Lan, Ze-Chun Hu, Wei Sun
In this paper, we investigate the convergence of products of conditional expectation operators. We show that if is a probability space that is not purely atomic, th…