样本区间的概率分布及其性质

Properties of sample spacing probability distribution

设(X1,X2,…,Xn)为服从I=[0,1]上的均匀分布的简单随机样本,它们将[0,1]分成(n+1)个样本区间,以Y0,Y1,…,Yn分别表示这些样本区间的长度,利用顺序统计量的性质讨论Yi(1≤i≤n+1)的概率性质。

Let（X1, X2 ,……, Xn）be a simple random sample of size n chosen according to uniform distribution on the unit interval [0,1]. Then the interval is divided into（n＋ 1）sample spacing of lengths Y0 ,Y1, ……, Yn respectively. In this paper, we attained the properities of sample spacing probability distribution by discussing the behaviour of order statistics.