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math.PR2018★ 1 cited
On the length of the longest consecutive switches
Chen-Xu Hao, Ze-Chun Hu, Ting Ma
An unbiased coin is tossed times independently and sequentially. In this paper, we will study the length of the longest consecutive switches, and prove that the limit behaviors…
math.PR2018
Convergence rates in the law of large numbers and new kinds of convergence of random variables
Ze-Chun Hu, Wei Sun
In this paper, we first study convergence rates in the law of large numbers for independent and identically distributed random variables. We obtain a strong -convergence versi…