Q37Section B (Section B)37 of 60

Consistent estimators of the cube of a uniform endpoint

Let $X_1,X_2,…,X_n$ be a random sample from $U(0,\theta)$ , where $\theta>0$ is the unknown parameter. Let $X_{(n)}=\max\{X_1,X_2,…,X_n\}$ . Then which of the following is (are) consistent estimator(s) of $\theta^3$ ?

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

Select every correct option, then submit.

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