Ze-Chun Hu, Qian-Qian Zhou
Published 2017-05-23Version 1
In this note we discuss uniform integrability of random variables. In a probability space, we introduce two new notions on uniform integrability of random variables, and prove that they are equivalent to the classic one. In a sublinear expectation space, we give de La Vall\'ee Poussin criterion for the uniform integrability of random variables and do some other discussions.
A note on the invariance principle of the product of sums of random variables
A couple of remarks on the convergence of $σ$-fields on probability spaces
Rank Independence and Rearrangements of Random Variables
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