Q1Section I (Objective (Q1–Q80))1 of 80

Statistical Inference — properties of estimators compared

Consider the following statements: I. MLEs are unbiased but not necessarily unique. II. Unbiased estimator is always unique. III. If $U$ and $W$ are consistent estimators of $\theta_1$ and $\theta_2$ , then $UW$ is also consistent for $\theta_1\theta_2$ . Which of the statements given above is/are correct?

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