Question: Problem 4 Let Y1, Y2, . .., Yn be an independent and identically distributed sample from a distribution with probability density function fly ) =

Problem 4 Let Y1, Y2, . .., Yn be an independent and identically distributed sample from a distribution with probability density function fly ) = Je-(3-0), y> 0, otherwise, where 0 is an unknown, positive constant. (a Find an estimator 01 for 0 by the method of moments. (b) Find an estimator 02 for 0 by the method of maximum likelihood estimation. (c) Adjust 1 and 62 so that they are unbiased. Find the efficiency of the adjusted o relative to the adjusted 02. 2

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