Consider the intermediate case of a third Bayesian, B3, who has the same prior information as B1
Question:
Consider the intermediate case of a third Bayesian, B3, who has the same prior information as B1 about , but is not given the data component y. Then y never appears in B3s equations at all; his model is the marginal sampling distribution p(z| I3). Show that, nevertheless, if (15.59) still holds (in the interpretation intended, as indicated by (15.62)), then B2 and B3 are always in agreement, p( |zI3) = p( |zI2), and that to prove this it is not necessary to appeal to (15.60). Merely withholding the datum y automatically makes any prior knowledge about irrelevant to inference about . Ponder this until you can explain in words why it is, after all, intuitively obvious.
Smith and Roberson Business Law
ISBN: 978-0538473637
15th Edition
Authors: Richard A. Mann, Barry S. Roberts