Question

Let X_{2}, ... , X_{n} 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[X_{1}, .. , X_{n}]

B) max[X_{1}, .. , X_{n}]

C) -min[X_{1}, .. , X_{n}]

D) (max[X_{1}, .. , X_{n}] -
min[X_{1}, .. , X_{n}]) / 2

E) max[|X_{1}| , ... , |X_{n}|]

Answer #1

thank you

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