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math.PR2020
On the -type Strong Law of Large Numbers for Sequences of Independent Random Variables
Lê Vǎn Thành
Li, Qi, and Rosalsky (Trans. Amer. Math. Soc., 2016) introduced a refinement of the Marcinkiewicz--Zygmund strong law of large numbers (SLLN), so-called the -type SLLN, wher…
math.PR2020★ 1 cited
Optimal Bounds in Normal Approximation for Many Interacting Worlds
Louis H. Y. Chen, Lê Vǎn Thành
In this paper, we use Stein's method to obtain optimal bounds, both in Kolmogorov and in Wasserstein distance, in the normal approximation for the empirical distribution of the gro…