Why are both maximum-likelihood estimators and maximum a posteriori estimators both asymp- totically efficient?

Question

Why are both maximum-likelihood estimators and maximum a posteriori estimators both asymp- totically efficient?
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Solution 1

Both Maximum-Likelihood Estimators (MLE) and Maximum a Posteriori (MAP) estimators are asymptotically efficient because as the sample size increases, both estimators converge to the true parameter value.

Here's a step-by-step explanation:

  1. Law of Large Numbers: The law of large numbers stat Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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