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math.PR2020
Limiting behaviors for longest consecutive switches in an IID Bernoulli sequence
Chen-Xu Hao, Ting Ma
In this paper we mainly discuss sharp lower and upper bounds for the length of longest consecutive switches in IID Bernoulli sequences. This work is an extension of results in Erdő…
math.PR2020
A Note on the Gaussian Minimum Conjecture
Yang-Fan Zhong, Ting Ma, Ze-Chun Hu
Let and be a centered Gaussian random vector. The Gaussian minimum conjecture says that $E\left(\min_{1\leq i\leq n}|X_i|\right)\geq E\left(\min_{1\…
math.PR2020
A Note on Convergence of Random Variables
Ze-Chun Hu, Ting Ma, Xiu-Ju Zhu
In this note, convergence of random variables will be revisited. We will give the answers to 5 questions among the 6 open questions introduced in (Convergence rates in the law of l…