Cxg N U. U(x)xn−1dx for all θ ≥ 1 This implies that U(x) = 0 ae Lebesgue measure on 1,∞) and Z 1 0 U(x)xn−1dx = 0 Consider T = h(X(n)) To have E(TU) = 0, we must have Z 1 0 h(x)U(x)xn−1dx = 0 Thus, we may consider the following function h(x) = c 0 ≤ x ≤ 1 bx x > 1, where c and b are some constants From the previous discussion, E. Jcda c x g n ^ { r xadvance emaster j u \ i 04 n9 @ advance.
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