In: Statistics and Probability
For any nonnegative integer n, let Y1 < Y2 < · · · <
Y2n+1 be the ordered statistics of 2n + 1
independent observations from the uniform distribution on [−2,
2].
(i) Find the p.d.f. for Y1 and the Y2n+1.
(ii) Calculate E(Yn+1). Use your intuition to justify your
answer.