47. In the preceding problem let U;j = 1 if (j - i)(Zj - Zi) > 0,...
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47. In the preceding problem let U;j = 1 if (j - i)(Zj - Zi) > 0, and = 0 otherwise. (i) The test statistic LiT; can be expressed in terms of the U's through the relation N LiT;= LU-i)U + N(N+1)(N+2) I-I IC as another rejection region for the preceding problem. [(i): Let = 1 or 0 as z,s Zj or z, > Zj . Then 1j = ~_I~j' and ~j = ii, 1 U 0 0 • • Ex · .. N °T - ..N o ..N V 0 f or - i j as I
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