medium · Quantitative Finance

Which of the following is true regarding the OLS estimator hatβ and the Maximum Likelihood Estimator (MLE) of the slope under the assumption of normally distributed errors?

  1. The MLE is more efficient than OLS in small samples.
  2. The OLS estimator and the MLE for the slope are identical.
  3. MLE requires the sample size to be larger than 30 to match OLS.
  4. OLS is unbiased while MLE is biased for the slope coefficient.

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