Statistics- Let X(1)=……..(n) be the order statistics of a sample X1

QUESTION

Let X(1)=……..(n) be the order statistics of a sample X1,…….,Xn, there is a one-to-one correspondence between the empirical distribution function F^ and the order statistics in the sense that, given the order statistics, we may construct F^ and given F^, we know the order statistics, give the details of this 1-1 correspondence and show your reasoning procedure in details.

 

ANSWER:

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