The OP is one such—Bayesians aren’t permitted to ignore any part of the data except those which leave the likelihood unchanged. One classic example is that in some problems, a confidence interval procedure can return the whole real line. A mildly less pathological example also concerning a wacky confidence interval is here.
The OP is one such—Bayesians aren’t permitted to ignore any part of the data except those which leave the likelihood unchanged. One classic example is that in some problems, a confidence interval procedure can return the whole real line. A mildly less pathological example also concerning a wacky confidence interval is here.