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DanielLC comments on Against improper priors - Less Wrong
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Perhaps "better in every case" would work? That is, less surprising no matter what happens?
Since I don't think it makes sense to speak of the "surprise" associated with an improper distribution, I think the claim you want to make doesn't cut to the heart of the matter. There are lots of reasons to object to improper priors, but this isn't well-formed enough to be one of them.