记录时及相应计数过程关于矩精确完全收敛的渐进性质

摘要

Let {Xn,n ≥ 1} be a sequence of i.i.d.random variables with absolutely continuous distribution function.Denote the record times and the associated counting process of {Xn,n ≥ 1}by {L(n),n ≥ 1} and {μ(n),n ≥ 1},respectively.In this paper,we obtain the exact asymptotics in complete moment convergence of {L(n),n ≥ 1} and {μ(n),n≥ 1}.%我们考虑一列独立同分布且分布函数绝对连续的随机变量序列及其记录时和相应的计数过程,得到了记录时和相应计数过程的关于矩精确完全收敛的渐进性质.