What I got out of the article above, since I skipped all the technical math, was that frequentists consider “the pointer problem” (i.e., just your usual selection bias) as something that needs correction while Bayesians don’t correct in these cases. The author concludes (I trust, via some kind of argument) that Bayesian’s don’t need to correct if they choose the posteriors carefully enough.
I now see that I was being entirely consistent with my role as the resident frequentist when I identified this as a “pointer problem” problem (which it is) but that doesn’t mean the problem can’t be pushed through without correction* -- the Bayesian way—by carefully considering the priors.
*”Requiring correction” then might be a euphemism for time-dependent, while a preference for an updateless decision theory is a good Bayesian quality. A quality, by the way, a frequentist can appreciate as well, so this might be a point of contact on which to win frequentists over.
What I got out of the article above, since I skipped all the technical math, was that frequentists consider “the pointer problem” (i.e., just your usual selection bias) as something that needs correction while Bayesians don’t correct in these cases. The author concludes (I trust, via some kind of argument) that Bayesian’s don’t need to correct if they choose the posteriors carefully enough.
I now see that I was being entirely consistent with my role as the resident frequentist when I identified this as a “pointer problem” problem (which it is) but that doesn’t mean the problem can’t be pushed through without correction* -- the Bayesian way—by carefully considering the priors.
*”Requiring correction” then might be a euphemism for time-dependent, while a preference for an updateless decision theory is a good Bayesian quality. A quality, by the way, a frequentist can appreciate as well, so this might be a point of contact on which to win frequentists over.