I'm not sure what you mean.

I'm talking about pseudocounts (add one success and one failure) [1] or maybe Agresti-Coull estimator (add two successes and two failures) [2].

[1] https://en.wikipedia.org/wiki/Rule_of_succession

[2] http://users.stat.ufl.edu/~aa/articles/agresti_coull_1998.pd...