Q18Section I (Objective (Q1–Q80))18 of 79

Statistical Inference — invariance and asymptotic normality of MLE

Consider the following statements: Statement-I: If T is MLE of $\theta$ , then $\log T$ is MLE of $\log\theta$ . Statement-II: If T is MLE of $\theta$ , then distribution of T will be normal in case of large sample size. The properties of MLE associated with Statement-I and Statement-II are respectively:

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