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3. Let X1, . .., X10 be an i.i.d. sample from the uniform distribution on [0 - 1, 0 + 1]. With U = max{X1,

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3. Let X1, . .., X10 be an i.i.d. sample from the uniform distribution on [0 - 1, 0 + 1]. With U = max{X1, ..., X10} and V = min{X1, ..., X10}, any value between U - 1 and V + 1 is an mle for 0. In particular, consider 0 - (0 -1) + (V +1) U+V 2 2 which has the density function 5{x - (0 -1)}9, 0-15x50, fo(a) = 5{ (0 + 1) - 20}9, 0

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