3 citations · 3 across the 2 of their papers we have counts for
2 papers
math.PR2015★ 3 cited
Laplace transform asymptotics and large deviation principles for longest success runs in Bernoulli trials
Takis Konstantopoulos, Zhenxia Liu, Xiangfeng Yang
The longest stretch of consecutive heads in i.i.d. coin tosses is seen from the prism of large deviations. We first establish precise asymptotics for the moment generati…
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…