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Q2. Suppose that Y1, Y2, - - - ,Y1,1 constitute a random sample from the density function {y0] _ e , y > 9, fella)

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Q2. Suppose that Y1, Y2, - - - ,Y1,1 constitute a random sample from the density function {y0] _ e , y > 9, fella) _ { 0, elsewhere, where (9 is an unknown, positive constant. (a) Find an estimator 91 for 6 by the method of moments. (b) Find an estimator 92 for (9 by the method of maximum likelihood. (c) Adjust Ell and 632 so that they are unbiased. Find the eiciency of the adjusted (91 relative to the adjusted 62

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