Bayesian interpretation of frequentist procedures for a Bernoulli process

In considering the inference about the unknown proportion of a Bernoulli process, it is shown that the choices involved in the frequentist approach are equivalent, from a Bayesian point of view, to the choice of a particular ignorance prior within a restricted ignorance zone. This link sheds light on the nature of both kinds of choices, and on undesirable properties that go with null variance data.