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Problem 2 If Y1, Yg, ..., Y}; constitute a random sample from the population given by {cw0) for y > 9, 0 elsewhere . 1%?!)

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Problem 2 If Y1, Yg, ..., Y}; constitute a random sample from the population given by {cw0) for y > 9, 0 elsewhere . 1%?!) = (a) Show that V 1 is unbiased estimator for 9. 1 (b) Show that Y0) E is unbiased estimator for 6, Where YU) is the rst order statistic. 1 _ (c) Find the efciency of Y\") E relative to Y 1. (d) Show that Y(1) E is a consistent estimator of 9

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