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Competitive Stats
Q39Section B (Section B)39 of 60

Consistent estimators built from the sample minimum

Let X1,X2,…,XnX_1,X_2,…,X_n be a random sample from a U(θ,0)U(\theta,0) distribution, where θ<0\theta<0. If Tn=min⁡{X1,X2,…,Xn}T_n=\min\{X_1,X_2,…,X_n\}, then which of the following sequences of estimators is (are) consistent for θ\theta?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Options

Select every correct option, then submit.