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math.PR2013
Comparison for upper tail probabilities of random series
Fuchang Gao, Zhenxia Liu, Xiangfeng Yang
Let be a sequence of independent and identically distributed random variables. In this paper we study the comparison for two upper tail probabilities $\mathbb{P}\{\sum_{n…
math.PR2011
Persistence of iterated partial sums
Amir Dembo, Fuchang Gao
Let p_n denote the persistence probability that the first n iterated partial sums of integrable, zero-mean, i.i.d. random variables X_k, are negative. We show that p_n is bounded a…