Q37Section B (Section B)37 of 60

Unbiased and consistent estimators of theta squared

Let $X_1,…,X_n$ be a random sample from a $N(\theta,\theta^2)$ distribution, where $\theta>0$ is unknown. Let $T_1=\sum_{i=1}^nX_i$ and $T_2=\sum_{i=1}^nX_i^2$ . Which of the following statements is (are) correct?

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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