For Classical Regression Model the OLS or Ordinary Least Squares - estimators (or the betas) are BLUE (Best, Linear, Unbiased, Estimator) when :
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OLS leads to a closed-form solution. The problems in other metrics such as L1 do not. Furthermore, the statistical theory for OLS is much richer than for other metrics in spite of the fact that OLS leads to difficulties in dealing with 'outliers'.
Traffic estimators give you an estimate of how many readers you can expect to get with a published article. All of this depends on the type of keywords you use and how well you use them in your article. Most estimators will help you generate good keywords to put into your articles as well.
The likelihood has to be maximized numerically, as the order statistic is minimal sufficient
Maximum likelihood estimators of the Cauchy distribution cannot be written in closed form since they are given as the roots of higher-degree polynomials. Please see the link for details.
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