Question: 12.5.3 Let XI., . . , X, be a random sample from the distribution uniform on the union of the two intervals: [ -2, -11

12.5.3 Let XI., . . , X, be a random sample from the distribution uniform on the union of the two intervals: [ -2, -11 and [0, 01. Find: (i) The MME of 0. (ii) The MLE of 0. (iii) The MLE of 0 if positive Xi’s are recorded exactly, and negative Xi’s can only be counted. (iv) The MLE of 6 if Xi’s cannot be observed, and one can only count the numbers of positive and negative ones.

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