均匀分布q型的统计规律

The Statistical Law of q Type on Uniform Distribution

研究均匀分布区间[a,b]上u:=((1-q)a+qb-η1*)/(ηn*-η1*)的统计规律,其中,0<q<1,η1,η2,,ηn为取自总体η的容量为n的简单随机子样,η1*=min{ηi} 1≤i≤n, ηn*=max{ηi} 1≤i≤n,求出它的密度函数,分布函数.

This paper studies the statistical law of U=ηn^＊-η1^＊--（1-q）a＋qb-η1^＊ of the interval [a,b]on uniform distribution,where 0〈q〈1,let η1,η2…,ηe be sample coming from the population η,η1^＊=min_l≤i≤n{ηi},ηn^＊=max_l≤i≤n{ηi}.Its density function and distribution function are obtained.