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Let X1, . . . , Xn be independent with Xi Bin(mi , H(ci)) where m1, . . . , mn are known positive integers,

Let X1, . . . , Xn be independent with Xi Bin(mi , H(ci)) where m1, . . . , mn are known positive integers, c1, . . . , cn are known positive numbers, is an unknown number and

H(x) = 1/(1+e-?). (1) Show that T = >i-1 _, ci Xi is a complete sufficient statistic. (2) Find the BUE of 0. (3 Find the MLE of 0

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