Could be that my efforts to explain my quantifications have not been very substantive - but, I have tried.
No, you haven't. You keep quoting the post where you pull the numbers out of your orifice, but you seem blissfully unaware that at no point have you given any rationale for them besides the
non sequitur, "There's no way to know what they could be, so I'm going to choose a small number."
The reason for this relatively small likelihood -- given inauthenticity -- is our lack of knowledge about the shrouds origin under this "given." This forgery might have a lot of limestone on it -- but then again, it very well might not...
Asked and answered many times. You wrongly think that ambiguity allows you to choose a small number. Ambiguity does not let you choose
any number with any appreciable confidence.
That's exactly what ambiguity means. Even Hugh tried to tell you this, but you blustered right past him. I addressed this at length already several times, as have all your other critics.
Further, the ambiguity is an artificial effect of your formulation of the problem -- your inappropriate bifurcation. I addressed this at length too. Kindly pay attention to the discussion.
The likelihoods I suggested reflect that principle [of educated guesses].
Simply insisting that your arbitrarily-chosen numbers are "educated guesses" does not make them so. You must provide the quantitative argument that produces those numbers, because only therein lies the education. You cannot call them "educated guesses" when your bare argument is along the lines, "Well, I think the probability might be somewhere around X."
In all your harumphing around Bayes, you forget the most important principle: the strength of the priors. Without well-chosen priors, no Bayes method produces useful results. And even then, the results are always limited to consideration within the parametric domain -- i.e., the preconceptions encoded around the priors. As I said, the best a Bayes solution can produce is where next to go, given new data,
if you already believe in one thing or another. It in no way establishes an objective probability. Since your priors reflected a strong preconception, necessarily so did your result.
The exact numbers I chose are where the educated guesses come in.
You have not shown in any way that your exact numbers derived from any education or quantitative exercise. You simply pulled them out of thin air and propped them up with vague handwaving and
non sequiturs.
What numbers would you chose?
Shifting the burden of proof. You have chosen specific probabilities that you say are well founded. No one agrees, and they are asking you to justify your numbers. Do so immediately without simply referring back to already-rejected arguments.
Or conversely, you can do what others have urged, abandon this silly misguided attempt at statistics you don't understand, and produce the evidence you were asked for.