# Expectation of Order Statistics Independence

by GAGA   Last Updated August 14, 2019 20:19 PM

Let $$X_1,....,X_n$$ be iid Uniform $$(\theta,2\theta)$$ $$\theta >0$$

$$E(X_{(1)}X_{(n)})=E(X_{(1)}) E(X_{(n)})$$

Is this true since $$X_1,....,X_n$$ are independent?

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## $E[\bar{X^3}]$ of N(μ,1)

Updated March 14, 2019 02:19 AM