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In: Statistics and Probability

Let (Z1, Z2,...Zn) be a random sample from a continuous distribution and let (r1, r2, ......ri,......

Let (Z1, Z2,...Zn) be a random sample from a continuous distribution and let (r1, r2, ......ri,... rj.....rn)  be the ranks.

Show that COV (ri, rj )= -( N+1)/12.

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