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math.PR2026
Asymptotic Probabilities of Attaining the Maximum in Heterogeneous Gaussian Samples
Chunxu Zhang, Baiqi Miao, Tiantian Mao
We study asymptotic probabilities of attaining the maximum in heterogeneous Gaussian samples. In the two-group setting, the first sample has variance and size , while the…
math.PR2018
Sums of Standard Uniform Random Variables
Tiantian Mao, Bin Wang, Ruodu Wang
In this paper, we analyze the set of all possible aggregate distributions of the sum of standard uniform random variables, a simply stated yet challenging problem in the literature…