Aliyev, T. M. & Bakshiev, S. B. (2016). On the distribution of the maximum of sums of a sequence of independent and identically distributed random variables. TWMS Journal of Applied and Engineering Mathematics, 6(1), 70-74.
Abstract
The authors find in terms of generating functions the distribution of the maximum of sums of independent and identically distributed random variables with no negative jumps different from ?1.