3 ms·

1/36 is indeed the most optimal estimator of the expected frequency of two sixes, it's not odd at all.

• jmalicki 4y ago
  1/36 is an estimate, it is not an estimator at all. An estimator is a formula based on data from the rolls.
  • sudosysgen 4y ago
    It's an estimator in this case. A fixed number is an estimator too, it's just not going to be desirable in most cases. But single numbers are absolutely and unquestionably also valid estimators. In any case, what I'm trying to get at there is that in estimator theory there is a concept of optimality for an estimator over a distribution.
    • jmalicki 4y ago
      Sure, a single number is a trivial example of a procedure/formula. But an estimator estimates an unknown parameter from data (or in such a trivial estimator possibly without data) - and I believe this is central to the confusion.