Let X2, ... , Xn denote a random sample from a discrete uniform distribution over the integers - θ, - θ + 1, ... , -1, 0, 1, ... , θ - 1, θ, where θ is a positive integer. What is the maximum likelihood estimator of θ?
A) min[X1, .. , Xn]
B) max[X1, .. , Xn]
C) -min[X1, .. , Xn]
D) (max[X1, .. , Xn] - min[X1, .. , Xn]) / 2
E) max[|X1| , ... , |Xn|]
thank you
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