Question
let y1<y2<y3 be the order statistics of random sample of size a distribution
f(x)=2x , 0<x<1 show that z1=y1/y3, z2=y2/y3 ,z3=y3 are mutually stochastically independent
f(x)=2x , 0<x<1 show that z1=y1/y3, z2=y2/y3 ,z3=y3 are mutually stochastically independent