“One small nitpick: It could be more explicit that in Assumption 2, B1 and B2 range over actual observation, whereas in Assumption 1, B ranges over all possible observations. :)”
Actually, I implicitly was thinking of the “B” variables as ranging over actual observations (past, present, and future) in both assumptions. But you’re right: I definitely should have made that explicit.
“One small nitpick: It could be more explicit that in Assumption 2, B1 and B2 range over actual observation, whereas in Assumption 1, B ranges over all possible observations. :)”
Actually, I implicitly was thinking of the “B” variables as ranging over actual observations (past, present, and future) in both assumptions. But you’re right: I definitely should have made that explicit.