Let X1, . . . , Xn be an i.i.d. sample from a distribution with cdf F and pdf f , and X(1)

Using these results, derive the cdf and pdf of R in Example 14.2, assuming n = 2m − 1 for simplicity.

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G)(x) = (^) (F(x)(1 F(x))"-k, - k-i and the pdf of X; is given by 8(i)(x) n! (i-1)!(n-i)! \[{F(x)}i{1 F(x)}"i (x).