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Answer the following quesition(partially is also fine) Let U1, U2, ... be a sequence of independent and uniformly distributed random variables on the interval [0,

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Answer the following quesition(partially is also fine)

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Let U1, U2, ... be a sequence of independent and uniformly distributed random variables on the interval [0, 0]. We interpret 0 > 0 as an unknown parameter. Let Un = _ ER_ Uk and Mn = maxickenUx be the sample mean and the sample maximum, respectively. (a) 5 points Show that 2Un -> 0 almost surely as n - co.\f(1:) Which estimator is preferable in term\

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