Question: 12.5.24 Let XI,. . . , X, be a random sample from U[O, 8s 13 distribution. (i) Show that T = c( X,:, - 1)

12.5.24 Let XI,. . . , X, be a random sample from U[O, 8s 13 distribution. (i) Show that T = c( X,:, - 1) + (1 - c)X1,, 0 < c < 1, is the MLE of 0, and find the value of c that minimizes its MSE. (ii) Determine the asymptotic distribution of T .

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