I don’t think formal decision theory is common in applied Bayesian stats in science; the only paper I can quickly recall that did a decision analysis is Andrew Gelman’s radon remediation study. Maybe econometrics is different, since it’s a lot easier to define losses in that context.
The formal decision-making machinery involves picking a loss function and minimizing posterior expected loss.
Okay, but is it a part of the typical Bayesian routine to wield formal decision theory, or do we just calculate P(H|E) and call it a day?
I don’t think formal decision theory is common in applied Bayesian stats in science; the only paper I can quickly recall that did a decision analysis is Andrew Gelman’s radon remediation study. Maybe econometrics is different, since it’s a lot easier to define losses in that context.