medium · Quantitative Finance prob-stats

In advanced probability, the conditional expectation E[X|G] is described as the 'best estimate' of X given information G. In what specific sense is it 'best'?

  1. It maximizes the probability of a correct guess
  2. It minimizes the mean squared error
  3. It is always equal to the maximum possible value of X
  4. It minimizes the absolute deviation

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