独立同均匀分布的随机变量和的分布及其应用

The distribution of sums of i.i.d random variables with uniform distributions and its applications

首先考虑了n个独立同分布的均匀分布的随机变量和的分布,然后利用和的分布得到了独立同分布的[0,a]均匀随机变量的总和超过a的最小个数的平均值为e.

In this paper, we consider the distribution of sums of n i. i. d random variables with uniform distributions, and by the distribution of sums, we obtain the mean number of independent uniform [ 0,a ] random variables that must be summed for the sum to exceed a is equal of e.