Yu Miao
Articles written in Proceedings – Mathematical Sciences
Volume 118 Issue 2 May 2008 pp 289-294 Research Articles
Central Limit Theorem and almost sure Central Limit Theorem for the Product of some Partial Sums
In this paper, we give the central limit theorem and almost sure central limit theorem for products of some partial sums of independent identically distributed random variables.
Volume 124 Issue 3 August 2014 pp 447-456
Some Limit Theorems for Negatively Associated Random Variables
Yu Miao Wenfei Xu Shanshan Chen Andre Adler
Let $\{X_n,n\geq 1\}$ be a sequence of negatively associated random variables. The aim of this paper is to establish some limit theorems of negatively associated sequence, which include the $L^p$-convergence theorem and Marcinkiewicz–Zygmund strong law of large numbers. Furthermore, we consider the strong law of sums of order statistics, which are sampled from negatively associated random variables.
Volume 130 All articles Published: 10 January 2020 Article ID 0004 Research Article
A note on the weak law of large numbers of Kolmogorov and Feller
FUQIANG MA YU MIAO JIANYONG MU
In this paper, we establish the weak laws of large numbers for the negative quadrant-dependent random sequences which extend the classic Kolmogorov–Feller weak law of large numbers. In addition, the moment convergence for the negative quadrant-dependent random sequences are also given.
Volume 130, 2020
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