# order statistics of random sample

##### New Member
suppose X1,X2,…,Xn is a random sample of distribution with positive values where E(X)=Var(X)=1. We show order statistics of this random sample with Y1,Y2,…,Yn. How can show

1. E(∑(Yi/Xi))≥n

2. E(∑YiXi)≤n+n2

#### BGM

##### TS Contributor
1. AM-GM Inequality

2. Rearrangement Inequality