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Reference no: EM131851983

Suppose that X = (X1, ..., Xn) is a simple random sample (without replacement) from a finite population P = {y1, ..., yN} with univariate yi.

(a) Show that a necessary condition for h(θ) to be estimable is that h is symmetric in its N arguments.

(b) Find the UMVUE of Ym, where m is a fixed positive integer < n="" and="" y="" is="" the="" population="" total.="">

(c) Find the UMVUE of P(Xi ≤ Xj), i ≠ j.

(d) Find the UMVUE of Cov(Xi, Xj), i ≠ j.

Reference no: EM131851983

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