[apinde]

Thanks for your response, Andrs.

Another expression of deterministic noise is the expected value of the squared error between the mean hypothesis and f(x). The mean hypothesis when one has disjoint H1 and H2 should fall somewhere between the more complex and the more simple sets and the deterministic error should be somewhere between the deterministic errors of H1 and H2. It other words, the deterministic error of H is not just the lower of the two.