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Competitive Stats
Q11Section I (Objective (Q1–Q80))11 of 80

Statistical Inference — properties of the MLE for discrete uniform range

Let Xi∼f(x)={1N;x=1,2,…,N 0;otherwiseX_i \sim f(x) = \begin{cases} \frac{1}{N}; & x = 1, 2, …, N \ 0; & \text{otherwise} \end{cases}; i=1,2,3,…,ni = 1, 2, 3, …, n. The Maximum Likelihood Estimator (MLE) of NN has which one of the following properties?

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