Question: 31. Let X, .. . , Xn be a sample from the uniform distribution over the integers 1, . .. , 8, and let a

31. Let X\, .. . , Xn be a sample from the uniform distribution over the integers 1, . .. , 8, and let a be a positive integer. (i) The sufficient statistic X(n) is complete when the parameter space is O={8:8~a} (ii) Show that X(II) is not complete when g = {6: 6 a}, a 2, and find a complete sufficient statistic in this case.

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