To what extent does the industry use Bayesian methods? It seems to me that, for a given trading strategy, trading companies are really interested in the mean profit impact of the strategy and its distribution (e.g. "there is a 10% change we will lose more than $20M"). Bayesian methods will naturally produce such an answer.
Bayesian methods won't magically solve all problems (e.g. fitting to historical data) but could make the assumptions more clear.
Bayesian methods won't magically solve all problems (e.g. fitting to historical data) but could make the assumptions more clear.