Luciano Floridi poses the problem of second-order probabilities:
(…) we actually lack a theory of second order probability, let alone a philosophical justification for it.
By second order, he means “probabilities about probabilisties”.
I beg to differ with Luciano. What about this reference?
Gaifman, H. 1986. A theory of higher order probabilities. In Proceedings of the 1986 Conference on theoretical Aspects of Reasoning About Knowledge